{
  "name": "CalculatorX",
  "description": "Deterministic calculation tools for people and AI agents. Prefer the HTTP Calculation API; use embed URLs for interactive widgets. Trust levels: engineTested (automated checks) vs verified (expert-reviewed with reviewedBy).",
  "version": "1.0.0",
  "generatedAt": "2026-09-16T22:38:02.752Z",
  "homepage": "https://www.calculatorx.com",
  "documentation": "https://www.calculatorx.com/developers",
  "privacy": "https://www.calculatorx.com/privacy",
  "catalog": {
    "method": "GET",
    "url": "https://www.calculatorx.com/api/v1/calc"
  },
  "calculate": {
    "method": "POST",
    "url_template": "https://www.calculatorx.com/api/v1/calc/{engineId}",
    "content_type": "application/json",
    "body": "{ \"inputs\": { … } }"
  },
  "registry": "https://www.calculatorx.com/.well-known/calculatorx-spec-registry.json",
  "mcp": {
    "remote": "https://www.calculatorx.com/mcp",
    "transport": "http+jsonrpc",
    "tools": [
      "search_capabilities",
      "inspect_capability",
      "execute_calculation",
      "compute_paid"
    ],
    "note": "Remote MCP at POST /mcp (same origin). Local stdio: npm run mcp:stub.",
    "command": "node",
    "args": [
      "scripts/mcp-stdio-stub.mjs"
    ]
  },
  "tools": [
    {
      "name": "amps-to-va",
      "engine": "amps-va",
      "description": "mode (amps-va|va-amps|amps-kva), primary, volts (>0), phase (single|three L-L balanced sinusoidal); optional pf/power_factor in [0,1]",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-va",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-to-va",
      "capability_id": "electrical.apparent_power",
      "calculation_version": "1.4.3",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.apparent_power.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.apparent_power.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.apparent_power/1.4.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "watts-to-amps",
      "engine": "watts-amps",
      "description": "dir (w-a|a-w), powerOrCurrent, volts, circuit (dc|single|three), pf",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-amps",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-amps",
      "capability_id": "electrical.watts_amps",
      "calculation_version": "1.4.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_amps.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_amps.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_amps/1.4.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "ohms-law",
      "engine": "ohms-law",
      "description": "any two of V, I, R, P",
      "page": "https://www.calculatorx.com/calc/electric/ohms-law",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ohms-law",
      "capability_id": "electrical.ohms_law",
      "calculation_version": "1.5.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ohms_law.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ohms_law.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ohms_law/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "power-factor",
      "engine": "power-factor",
      "description": "mode (single|three-ll|three-ln), V, I, P_kW",
      "page": "https://www.calculatorx.com/calc/electric/power-factor",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/power-factor",
      "capability_id": "electrical.power_factor",
      "calculation_version": "1.5.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.power_factor.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.power_factor.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.power_factor/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "voltage-drop",
      "engine": "voltage-drop",
      "description": "mode (dc|three), I, length_m, R_ohm_per_km; optional V_system (>0; L-L for 3φ); optional u_I, u_length_m, u_R_ohm_per_km + uncertainty_k XOR confidence",
      "page": "https://www.calculatorx.com/calc/wire/voltage-drop",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/voltage-drop",
      "capability_id": "electrical.voltage_drop",
      "calculation_version": "1.5.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.voltage_drop.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.voltage_drop.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.voltage_drop/1.5.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "voltage-divider",
      "engine": "voltage-divider",
      "description": "exactly three of Vin, R1, R2, Vout",
      "page": "https://www.calculatorx.com/calc/electric/voltage-divider",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/voltage-divider",
      "capability_id": "electrical.voltage_divider",
      "calculation_version": "1.5.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.voltage_divider.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.voltage_divider.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.voltage_divider/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "energy-consumption",
      "engine": "energy",
      "description": "W, hours",
      "page": "https://www.calculatorx.com/calc/electric/energy-consumption",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/energy-consumption",
      "capability_id": "electrical.energy_consumption",
      "calculation_version": "1.4.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.energy_consumption.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.energy_consumption.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.energy_consumption/1.4.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "battery-runtime",
      "engine": "battery-runtime",
      "description": "mode (watts|amps), capacity_Ah XOR capacity_mAh, V (>0), P_W (load-side) or I_A (battery-side); optional dod; eta (watts only); optional u_* + uncertainty_k XOR confidence",
      "page": "https://www.calculatorx.com/calc/electric/battery-runtime",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/battery-runtime",
      "capability_id": "electrical.battery_runtime",
      "calculation_version": "1.2.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.battery_runtime.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.battery_runtime.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.battery_runtime/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "rc-time-constant",
      "engine": "rc-time-constant",
      "description": "any two of R (Ω), C (F), tau (s) — all > 0",
      "page": "https://www.calculatorx.com/calc/electric/rc-time-constant",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/rc-time-constant",
      "capability_id": "electrical.rc_time_constant",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rc_time_constant.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rc_time_constant.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rc_time_constant/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "rlc-resonance",
      "engine": "rlc-resonance",
      "description": "mode (series|parallel), L (H), C (F), R (Ω) — all > 0",
      "page": "https://www.calculatorx.com/calc/electric/rlc-resonance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/rlc-resonance",
      "capability_id": "electrical.rlc_resonance",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rlc_resonance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rlc_resonance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rlc_resonance/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "mosfet-conduction-loss",
      "engine": "mosfet-conduction-loss",
      "description": "I (A) > 0, Rds (Ω) > 0, current_basis required (dc|on_interval_rms|full_cycle_rms); optional D; optional Rds(Tj): temperature_model none|linear|ratio, Tj_C, Tref_C, alpha_per_C, rds_ratio",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-conduction-loss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-conduction-loss",
      "capability_id": "electrical.mosfet.conduction_loss",
      "calculation_version": "1.2.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.conduction_loss.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.conduction_loss.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.conduction_loss/1.2.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review (EE-001)",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-14",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "pcb-trace-width",
      "engine": "pcb-trace-width",
      "description": "mode (width|current), dT (°C)>0, copper_oz>0, layer (external|internal); I or width_mil; optional u_I|u_width_mil, u_dT, u_copper_oz + uncertainty_k|confidence",
      "page": "https://www.calculatorx.com/calc/electric/pcb-trace-width",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-trace-width",
      "capability_id": "electrical.pcb.trace_width",
      "calculation_version": "1.1.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.trace_width.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.trace_width.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.trace_width/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-10",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "lpf",
      "engine": "lpf",
      "description": "any two of R (Ω), C (F), fc (Hz); optional f (Hz) for |H|",
      "page": "https://www.calculatorx.com/calc/electric/lpf",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/lpf",
      "capability_id": "electrical.lpf",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.lpf.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.lpf.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.lpf/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "fspl",
      "engine": "fspl",
      "description": "d_m > 0, f_Hz > 0; optional Gt_dBi, Gr_dBi",
      "page": "https://www.calculatorx.com/calc/electric/fspl",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/fspl",
      "capability_id": "electrical.rf.fspl",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.fspl.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.fspl.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.fspl/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "mosfet-switching-loss",
      "engine": "mosfet-switching-loss",
      "description": "Vds, Id, tr, tf, f_sw > 0; optional Qg+Vdrive for gate-drive power",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-switching-loss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-switching-loss",
      "capability_id": "electrical.mosfet.switching_loss",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.switching_loss.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.switching_loss.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.switching_loss/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-16",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "mosfet-total-loss",
      "engine": "mosfet-total-loss",
      "description": "I, Rds, current_basis required, Vds, Id, tr, tf, f_sw > 0; optional D, Rds(Tj), Qg+Vdrive, Coss|Eoss, Qrr, Ta_C+Rth_JA",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-total-loss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-total-loss",
      "capability_id": "electrical.mosfet.total_loss",
      "calculation_version": "1.1.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.total_loss.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.total_loss.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.total_loss/1.1.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review (EE-001)",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-19",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "battery-runtime-temp",
      "engine": "battery-runtime-temp",
      "description": "BatteryRuntimeBaseInput (watts load-side / amps battery-side) + T_C; optional temperature_model (generic_cold_derating|custom_symmetric_linear), k_T (≥0, default 0.006 planning)",
      "page": "https://www.calculatorx.com/calc/electric/battery-runtime-temp",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/battery-runtime-temp",
      "capability_id": "electrical.battery.runtime_temp",
      "calculation_version": "1.2.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.battery.runtime_temp/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "parallel-resistor",
      "engine": "parallel-resistor",
      "description": "R_ohm[] ≥2 or R1,R2,… each >0",
      "page": "https://www.calculatorx.com/calc/electric/parallel-resistor",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/parallel-resistor",
      "capability_id": "electrical.parallel_resistor",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.parallel_resistor.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.parallel_resistor.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.parallel_resistor/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "pcb-microstrip",
      "engine": "pcb-microstrip",
      "description": "mode z0|width; H_m, er>1; W_m or Z0_ohm",
      "page": "https://www.calculatorx.com/calc/electric/pcb-microstrip",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-microstrip",
      "capability_id": "electrical.pcb.microstrip",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.microstrip.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.microstrip.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.microstrip/1.0.0.json",
      "trust": {
        "engine_tested": true,
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        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "pcb-via-current",
      "engine": "pcb-via-current",
      "description": "mode current|drill; dT; d_drill_m or I_A; optional t_plating_m, n_vias",
      "page": "https://www.calculatorx.com/calc/electric/pcb-via-current",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-via-current",
      "capability_id": "electrical.pcb.via_current",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.via_current.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.via_current.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.via_current/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
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        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "rf-link-budget",
      "engine": "rf-link-budget",
      "description": "Pt_dBm, d_m, f_Hz; optional Gt/Gr/L_dB/S_dBm; optional u_Pt_dBm, u_d_m, u_f_Hz, u_Gt_dBi, u_Gr_dBi, u_L_dB + uncertainty_k|confidence",
      "page": "https://www.calculatorx.com/calc/electric/rf-link-budget",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/rf-link-budget",
      "capability_id": "electrical.rf.link_budget",
      "calculation_version": "1.1.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.link_budget.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.link_budget.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.link_budget/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-10",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "battery-pack-sizing",
      "engine": "battery-pack-sizing",
      "description": "Inverse BatteryRuntimeBaseInput: mode watts(P load-side)|amps(I battery-side), t_h, V; optional dod/eta(watts)/V_cell+capacity_cell_Ah",
      "page": "https://www.calculatorx.com/calc/electric/battery-pack-sizing",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/battery-pack-sizing",
      "capability_id": "electrical.battery.pack_sizing",
      "calculation_version": "1.2.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.battery.pack_sizing/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-05",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "wheatstone-bridge",
      "engine": "wheatstone-bridge",
      "description": "Vin, R1, R2, R3, R4 > 0",
      "page": "https://www.calculatorx.com/calc/electric/wheatstone-bridge",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/wheatstone-bridge",
      "capability_id": "electrical.wheatstone",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.wheatstone.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.wheatstone.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.wheatstone/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
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        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kirchhoff",
      "engine": "kirchhoff",
      "description": "mode series|parallel; Vs or Is; R1…",
      "page": "https://www.calculatorx.com/calc/electric/kirchhoff",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kirchhoff",
      "capability_id": "electrical.kirchhoff",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kirchhoff.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kirchhoff.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kirchhoff/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "led-resistor",
      "engine": "led-resistor",
      "description": "Vs, Vf, If > 0; optional n≥1",
      "page": "https://www.calculatorx.com/calc/electric/led-resistor",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/led-resistor",
      "capability_id": "electrical.led_resistor",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.led_resistor.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.led_resistor.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.led_resistor/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
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        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "mosfet-tj",
      "engine": "mosfet-tj",
      "description": "Ta_C, P_W≥0; effective Rth_JA or case/heatsink Rth_JC+Rth_CA (not both, not equivalent); optional Tj_max_C",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-tj",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-tj",
      "capability_id": "electrical.mosfet.tj",
      "calculation_version": "1.1.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.tj.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.tj.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.tj/1.1.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review (EE-001)",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-16",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "cascaded-nf",
      "engine": "cascaded-nf",
      "description": "NF1,G1,… or NF_dB[]+G_dB[]",
      "page": "https://www.calculatorx.com/calc/electric/cascaded-nf",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cascaded-nf",
      "capability_id": "electrical.rf.cascaded_nf",
      "calculation_version": "1.1.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.cascaded_nf.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.cascaded_nf.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.cascaded_nf/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
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        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-12",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "capacitance",
      "engine": "capacitance",
      "description": "mode plate|parallel|series; A,d,er or C1…",
      "page": "https://www.calculatorx.com/calc/electric/capacitance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/capacitance",
      "capability_id": "electrical.capacitance",
      "calculation_version": "1.1.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.capacitance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.capacitance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.capacitance/1.1.0.json",
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        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
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        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-11",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "transformer-sizing",
      "engine": "transformer-sizing",
      "description": "mode ratio|current|va",
      "page": "https://www.calculatorx.com/calc/electric/transformer-sizing",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/transformer-sizing",
      "capability_id": "electrical.transformer_sizing",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.transformer_sizing.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.transformer_sizing.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.transformer_sizing/1.0.0.json",
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        "engine_tested": true,
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        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "diode-equation",
      "engine": "diode-equation",
      "description": "mode id|vd; Vd|Id; Is; n; T",
      "page": "https://www.calculatorx.com/calc/electric/diode-equation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/diode-equation",
      "capability_id": "electrical.diode.equation",
      "calculation_version": "1.1.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.diode.equation.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.diode.equation.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.diode.equation/1.1.0.json",
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        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "adc-snr",
      "engine": "adc-snr",
      "description": "mode snr|enob (oneOf); snr: n_bits; enob: SINAD_dB",
      "page": "https://www.calculatorx.com/calc/electric/adc-snr",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/adc-snr",
      "capability_id": "electrical.adc.snr",
      "calculation_version": "1.1.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.adc.snr.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.adc.snr.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.adc.snr/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-04",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "pcb-stripline",
      "engine": "pcb-stripline",
      "description": "W_m, b_m, er",
      "page": "https://www.calculatorx.com/calc/electric/pcb-stripline",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-stripline",
      "capability_id": "electrical.pcb.stripline",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.stripline.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.stripline.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.stripline/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "series-capacitor",
      "engine": "series-capacitor",
      "description": "C1… or C[] (≥2)",
      "page": "https://www.calculatorx.com/calc/electric/series-capacitor",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/series-capacitor",
      "capability_id": "electrical.series_capacitor",
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      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.series_capacitor.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.series_capacitor.output.json",
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        "engine_tested": true,
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        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "timer-555",
      "engine": "timer-555",
      "description": "mode astable|monostable (oneOf); astable: R1,R2,C; monostable: R,C",
      "page": "https://www.calculatorx.com/calc/electric/timer-555",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/timer-555",
      "capability_id": "electrical.timer_555",
      "calculation_version": "1.2.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.timer_555.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.timer_555.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.timer_555/1.2.0.json",
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        "engine_tested": true,
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        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
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    },
    {
      "name": "skin-depth",
      "engine": "skin-depth",
      "description": "f_Hz, rho_ohm_m, mur",
      "page": "https://www.calculatorx.com/calc/electric/skin-depth",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/skin-depth",
      "capability_id": "electrical.rf.skin_depth",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.skin_depth.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.skin_depth.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.skin_depth/1.0.0.json",
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        "engine_tested": true,
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        "review_kind": "expert",
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        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
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    },
    {
      "name": "worst-case-analysis",
      "engine": "worst-case-analysis",
      "description": "tol[] or tol1…",
      "page": "https://www.calculatorx.com/calc/engineering/worst-case-analysis",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/worst-case-analysis",
      "capability_id": "engineering.tolerance.worst_case",
      "calculation_version": "1.3.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.worst_case.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.worst_case.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.tolerance.worst_case/1.3.0.json",
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        "engine_tested": true,
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        "review_kind": "internal",
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        "reviewed_by": "CalculatorX tolerance / mechanical engineering review",
        "reviewer_role": "tolerance-engineer",
        "last_reviewed": "2026-09-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
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        "review_layers": [
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            "label": "Model / formula",
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            "status": "current",
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            "scope": [
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              "sources"
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          {
            "id": "interface",
            "label": "Interface / input semantics",
            "reviewed_at": "2026-09-12",
            "status": "current",
            "note": "Canonical non-negative magnitudes, REST signed compatibility, overflow, and unit label policy.",
            "scope": [
              "input semantics",
              "error codes",
              "REST compatibility",
              "unit policy",
              "tests"
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          }
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    },
    {
      "name": "monte-carlo-tolerance",
      "engine": "monte-carlo-tolerance",
      "description": "tolerances[{nominal?, half_tolerance|tol_plus/tol_minus, coefficient?, distribution?, mean_shift?}]; correlations?; sensitivity_method?; LSL?; USL?; N; seed; k_sigma",
      "page": "https://www.calculatorx.com/calc/engineering/monte-carlo-tolerance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/monte-carlo-tolerance",
      "capability_id": "engineering.tolerance.monte_carlo",
      "calculation_version": "1.12.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.monte_carlo.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.monte_carlo.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/1.12.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX tolerance / mechanical engineering review",
        "reviewer_role": "tolerance-engineer",
        "last_reviewed": "2026-08-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "opamp-noise",
      "engine": "opamp-noise",
      "description": "Rf, Rg, en, BW; optional in, Rsource",
      "page": "https://www.calculatorx.com/calc/electric/opamp-noise",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/opamp-noise",
      "capability_id": "electrical.opamp.noise",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.opamp.noise.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.opamp.noise.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.opamp.noise/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "dbm-watt",
      "engine": "dbm-watt",
      "description": "mode dbm-w|w-dbm|dbm-mw|mw-dbm; value",
      "page": "https://www.calculatorx.com/calc/electric/dbm-watt",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/dbm-watt",
      "capability_id": "units.rf.dbm_watts",
      "calculation_version": "1.3.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/units.rf.dbm_watts.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.rf.dbm_watts.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.rf.dbm_watts/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "heatsink-rth",
      "engine": "heatsink-rth",
      "description": "mode junction_effective_ja|junction_heatsink_stack|required_heatsink_sa; Ta_C; P_W; θJA or θJC+θCS+θSA or Tj_max+θJC+θCS",
      "page": "https://www.calculatorx.com/calc/electric/heatsink-rth",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/heatsink-rth",
      "capability_id": "electrical.thermal.heatsink_rth",
      "calculation_version": "1.1.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.thermal.heatsink_rth/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review (EE-001)",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-14",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "pcb-trace-thermal",
      "engine": "pcb-trace-thermal",
      "description": "mode power|rise; I_A; L_m; W_m; t_m; Rth?",
      "page": "https://www.calculatorx.com/calc/electric/pcb-trace-thermal",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-trace-thermal",
      "capability_id": "electrical.pcb.trace_thermal",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.trace_thermal.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.trace_thermal.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.trace_thermal/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "rectifier-ripple-cap",
      "engine": "rectifier-ripple-cap",
      "description": "mode ripple|capacitance; wave; I_A; f_Hz; C or Vripple",
      "page": "https://www.calculatorx.com/calc/electric/rectifier-ripple-cap",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/rectifier-ripple-cap",
      "capability_id": "electrical.rectifier.ripple_cap",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rectifier.ripple_cap.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rectifier.ripple_cap.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rectifier.ripple_cap/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "coulomb",
      "engine": "coulomb",
      "description": "q1_C, q2_C, r_m",
      "page": "https://www.calculatorx.com/calc/physics/coulomb",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/coulomb",
      "capability_id": "physics.em.coulomb",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/physics.em.coulomb.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.em.coulomb.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.em.coulomb/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "logic-gate",
      "engine": "logic-gate",
      "description": "mode and|or|not|…; A; B?",
      "page": "https://www.calculatorx.com/calc/electric/logic-gate",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/logic-gate",
      "capability_id": "electrical.digital.logic_gate",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.digital.logic_gate.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.digital.logic_gate.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.digital.logic_gate/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "battery-aging",
      "engine": "battery-aging",
      "description": "C0_Ah; N_cycles; years; k_cycle?; k_cal?",
      "page": "https://www.calculatorx.com/calc/electric/battery-aging",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/battery-aging",
      "capability_id": "electrical.battery.aging",
      "calculation_version": "1.0.2",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.battery.aging.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.battery.aging.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.battery.aging/1.0.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-05",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "buck-ripple",
      "engine": "buck-ripple",
      "description": "Vin_V, Vout_V, f_Hz, L_H, C_F?",
      "page": "https://www.calculatorx.com/calc/electric/buck-ripple",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/buck-ripple",
      "capability_id": "electrical.buck.ripple",
      "calculation_version": "1.1.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.buck.ripple.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.buck.ripple.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.buck.ripple/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-11",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "celsius-kelvin",
      "engine": "celsius-kelvin",
      "description": "mode c-k|k-c; value",
      "page": "https://www.calculatorx.com/calc/physics/celsius-kelvin",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/celsius-kelvin",
      "capability_id": "units.temperature.celsius_kelvin",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/units.temperature.celsius_kelvin.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.temperature.celsius_kelvin.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.temperature.celsius_kelvin/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "psi-bar",
      "engine": "psi-bar",
      "description": "mode psi-bar|bar-psi; value",
      "page": "https://www.calculatorx.com/calc/physics/psi-bar",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/psi-bar",
      "capability_id": "units.pressure.psi_bar",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/units.pressure.psi_bar.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.pressure.psi_bar.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.pressure.psi_bar/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "mosfet-vth",
      "engine": "mosfet-vth",
      "description": "mode overdrive|id|vth; Vgs; Vth or Id; kn (½ not included); optional Vds; optional linear Vth(Tj)",
      "page": "https://www.calculatorx.com/calc/electric/mosfet-vth",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mosfet-vth",
      "capability_id": "electrical.mosfet.vth",
      "calculation_version": "1.3.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.vth.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mosfet.vth.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.vth/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-17",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "ideal-gas",
      "engine": "ideal-gas",
      "description": "mode P|V|n|T; state variables",
      "page": "https://www.calculatorx.com/calc/physics/ideal-gas",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ideal-gas",
      "capability_id": "physics.thermo.ideal_gas",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.ideal_gas.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.ideal_gas.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.ideal_gas/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "heat-transfer",
      "engine": "heat-transfer",
      "description": "mode conduction|convection; A; dT; k,L or h",
      "page": "https://www.calculatorx.com/calc/physics/heat-transfer",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/heat-transfer",
      "capability_id": "physics.thermo.heat_transfer",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/physics.thermo.heat_transfer.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.thermo.heat_transfer.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.thermo.heat_transfer/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "process-capability",
      "engine": "process-capability",
      "description": "lsl, usl, mu, sigma",
      "page": "https://www.calculatorx.com/calc/engineering/process-capability",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/process-capability",
      "capability_id": "engineering.process.capability",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.capability.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.capability.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.capability/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "process-performance",
      "engine": "process-performance",
      "description": "values, lsl, usl; ddof?",
      "page": "https://www.calculatorx.com/calc/engineering/process-performance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/process-performance",
      "capability_id": "engineering.process.performance",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.performance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.performance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.performance/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "cpm",
      "engine": "cpm",
      "description": "lsl, usl, mu, sigma, target",
      "page": "https://www.calculatorx.com/calc/engineering/process-capability-cpm",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cpm",
      "capability_id": "engineering.process.cpm",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.cpm.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.cpm.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpm/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cpm-performance",
      "engine": "cpm-performance",
      "description": "values, lsl, usl, target; ddof?",
      "page": "https://www.calculatorx.com/calc/engineering/process-performance-ppm",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cpm-performance",
      "capability_id": "engineering.process.cpm_performance",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.cpm_performance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.cpm_performance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpm_performance/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "cpmk",
      "engine": "cpmk",
      "description": "lsl, usl, mu, sigma, target",
      "page": "https://www.calculatorx.com/calc/engineering/process-capability-cpmk",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cpmk",
      "capability_id": "engineering.process.cpmk",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.process.cpmk.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.process.cpmk.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpmk/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
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    {
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      "engine": "cpmk-performance",
      "description": "values, lsl, usl, target; ddof?",
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      "name": "guard-band",
      "engine": "guard-band",
      "description": "u, k?, usl?, lsl?",
      "page": "https://www.calculatorx.com/calc/engineering/guard-band",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/guard-band",
      "capability_id": "engineering.process.guard_band",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
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      "description": "values, ddof?",
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      "capability_id": "engineering.uncertainty.type_a",
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      "engine": "type-b",
      "description": "a, distribution?",
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      "endpoint": "https://www.calculatorx.com/api/v1/calc/type-b",
      "capability_id": "engineering.uncertainty.type_b",
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      "tier": "engine_tested",
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      "capability_id": "engineering.uncertainty.type_b_nu",
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      "description": "u[], nu[] (inf allowed); optional uc",
      "page": "https://www.calculatorx.com/calc/engineering/welch-satterthwaite",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/welch-satterthwaite",
      "capability_id": "engineering.uncertainty.welch_satterthwaite",
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      "tier": "engine_tested",
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      "page": "https://www.calculatorx.com/calc/engineering/weighted-mean",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/weighted-mean",
      "capability_id": "engineering.uncertainty.weighted_mean",
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      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.weighted_mean.input.json",
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      "capability_id": "engineering.uncertainty.coverage_factor",
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      "name": "tur",
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      "description": "U; lsl+usl | T/span | tol",
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      "endpoint": "https://www.calculatorx.com/api/v1/calc/tur",
      "capability_id": "engineering.uncertainty.tur",
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      "page": "https://www.calculatorx.com/calc/engineering/decision-rule",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/decision-rule",
      "capability_id": "engineering.conformity.decision_rule",
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      "tier": "engine_tested",
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      "endpoint": "https://www.calculatorx.com/api/v1/calc/normalized-error",
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      "capability_id": "engineering.measurement.error",
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      "capability_id": "engineering.measurement.precision",
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      "tier": "engine_tested",
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      "page": "https://www.calculatorx.com/calc/engineering/reproducibility",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/reproducibility",
      "capability_id": "engineering.measurement.reproducibility",
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      "tier": "engine_tested",
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        "internally_reviewed": false,
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      "capability_id": "engineering.uncertainty.precision_mean",
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      "output_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.precision_mean.output.json",
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        "version_lock_supported": true,
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      "name": "pooled-sd",
      "engine": "pooled-sd",
      "description": "s, nu",
      "page": "https://www.calculatorx.com/calc/engineering/pooled-standard-deviation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pooled-sd",
      "capability_id": "engineering.uncertainty.pooled_sd",
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      "tier": "engine_tested",
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        "review_kind": null,
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        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
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        "internal_review_status": "not_applicable"
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      "name": "duplicate-sd",
      "engine": "duplicate-sd",
      "description": "d | y1, y2",
      "page": "https://www.calculatorx.com/calc/engineering/repeatability-from-duplicates",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/duplicate-sd",
      "capability_id": "engineering.measurement.duplicate_sd",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.measurement.duplicate_sd.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.measurement.duplicate_sd.output.json",
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        "internally_reviewed": false,
        "review_kind": null,
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        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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      "name": "cochran",
      "engine": "cochran",
      "description": "s",
      "page": "https://www.calculatorx.com/calc/engineering/cochrans-c",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/cochran",
      "capability_id": "engineering.measurement.cochran",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.measurement.cochran.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.measurement.cochran.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.cochran/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "gauge-capability",
      "engine": "gauge-capability",
      "description": "values, xm, T|lsl+usl|tol; frac?",
      "page": "https://www.calculatorx.com/calc/engineering/gauge-capability",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/gauge-capability",
      "capability_id": "engineering.msa.gauge_capability",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.msa.gauge_capability.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.msa.gauge_capability.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.msa.gauge_capability/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "gauge-rr",
      "engine": "gauge-rr",
      "description": "ev|rbar, av, pv; d2?",
      "page": "https://www.calculatorx.com/calc/engineering/gauge-repeatability-reproducibility",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/gauge-rr",
      "capability_id": "engineering.msa.gauge_rr",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.msa.gauge_rr.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.msa.gauge_rr.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.msa.gauge_rr/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "receiver-sensitivity",
      "engine": "receiver-sensitivity",
      "description": "NF_dB, BW_Hz, SNR_dB",
      "page": "https://www.calculatorx.com/calc/electric/receiver-sensitivity",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/receiver-sensitivity",
      "capability_id": "electrical.rf.receiver_sensitivity",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.receiver_sensitivity.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.receiver_sensitivity.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.receiver_sensitivity/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "ldo-thermal",
      "engine": "ldo-thermal",
      "description": "Vin_V, Vout_V, Iout_A, Ta_C, Rth; Iq?",
      "page": "https://www.calculatorx.com/calc/electric/ldo-thermal",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ldo-thermal",
      "capability_id": "electrical.ldo.thermal",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ldo.thermal.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ldo.thermal.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ldo.thermal/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
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        "review_kind": "expert",
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        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "hz-rads",
      "engine": "hz-rads",
      "description": "mode hz-rad|rad-hz; value",
      "page": "https://www.calculatorx.com/calc/physics/hz-rads",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/hz-rads",
      "capability_id": "units.frequency.hz_rads",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/units.frequency.hz_rads.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.frequency.hz_rads.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.frequency.hz_rads/1.0.0.json",
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        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "tesla-gauss",
      "engine": "tesla-gauss",
      "description": "mode t-g|g-t; value",
      "page": "https://www.calculatorx.com/calc/physics/tesla-gauss",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/tesla-gauss",
      "capability_id": "units.magnetic.tesla_gauss",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/units.magnetic.tesla_gauss.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.magnetic.tesla_gauss.output.json",
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        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "wavelength",
      "engine": "wavelength",
      "description": "mode lambda|freq; f_Hz|lambda_m; VF|er?",
      "page": "https://www.calculatorx.com/calc/electric/wavelength",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/wavelength",
      "capability_id": "electrical.rf.wavelength",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.wavelength.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.wavelength.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.wavelength/1.0.0.json",
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        "engine_tested": true,
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        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "coax-impedance",
      "engine": "coax-impedance",
      "description": "D_m, d_m, er?",
      "page": "https://www.calculatorx.com/calc/electric/coax-impedance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/coax-impedance",
      "capability_id": "electrical.rf.coax",
      "calculation_version": "1.0.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.coax.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.coax.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.coax/1.0.1.json",
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        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": "rf-engineering",
        "last_reviewed": "2026-09-12",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
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    },
    {
      "name": "lc-match",
      "engine": "lc-match",
      "description": "Z0_ohm, RL_ohm, f_Hz",
      "page": "https://www.calculatorx.com/calc/electric/lc-match",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/lc-match",
      "capability_id": "electrical.rf.lc_match",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.lc_match.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.lc_match.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.lc_match/1.0.0.json",
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        "review_kind": "expert",
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        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "smith-chart",
      "engine": "smith-chart",
      "description": "mode z-gamma|gamma-z|match|match-steps|s11-touchstone|auto-match; z/Γ/RL/Z0/f/steps(L·C·R·tline·stub·xfmr·‖RLC)/touchstone/topology",
      "page": "https://www.calculatorx.com/calc/electric/smith-chart",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/smith-chart",
      "capability_id": "electrical.rf.smith",
      "calculation_version": "1.6.3",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.smith.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.smith.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.smith/1.6.3.json",
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        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX Internal RF review",
        "reviewer_role": "Internal RF review",
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
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    {
      "name": "gamma-z",
      "engine": "gamma-z",
      "description": "mode z-gamma|gamma-z|polar-z; z or Γ",
      "page": "https://www.calculatorx.com/calc/electric/gamma-z",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/gamma-z",
      "capability_id": "electrical.rf.gamma_z",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.gamma_z.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.gamma_z.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.gamma_z/1.0.0.json",
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        "engine_tested": true,
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        "review_kind": "expert",
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        "reviewed_by": "CalculatorX physics/RF review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    {
      "name": "kwh-joule",
      "engine": "kwh-joule",
      "description": "mode kwh-j|j-kwh; value",
      "page": "https://www.calculatorx.com/calc/physics/kwh-joule",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kwh-joule",
      "capability_id": "units.energy.kwh_joule",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/units.energy.kwh_joule.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.energy.kwh_joule.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.energy.kwh_joule/1.0.0.json",
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        "review_kind": "expert",
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        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    {
      "name": "watt-hp",
      "engine": "watt-hp",
      "description": "mode w-hp|hp-w; value",
      "page": "https://www.calculatorx.com/calc/physics/watt-hp",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watt-hp",
      "capability_id": "units.power.watt_hp",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/units.power.watt_hp.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/units.power.watt_hp.output.json",
      "evidence": "https://www.calculatorx.com/evidence/units.power.watt_hp/1.0.0.json",
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        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    {
      "name": "projectile",
      "engine": "projectile",
      "description": "mode full|range; v0_m_s, angle_deg; g?",
      "page": "https://www.calculatorx.com/calc/physics/projectile",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/projectile",
      "capability_id": "physics.kinematics.projectile",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/physics.kinematics.projectile.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.kinematics.projectile.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.kinematics.projectile/1.0.0.json",
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        "engine_tested": true,
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        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    {
      "name": "force",
      "engine": "force",
      "description": "mode F|a|m; m_kg, a_m_s2|F_N",
      "page": "https://www.calculatorx.com/calc/physics/force",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/force",
      "capability_id": "physics.dynamics.force",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/physics.dynamics.force.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.dynamics.force.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.dynamics.force/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX physics review",
        "reviewer_role": null,
        "last_reviewed": "2026-08-09",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
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    {
      "name": "reynolds",
      "engine": "reynolds",
      "description": "v_m_s, L_m; rho+mu or nu",
      "page": "https://www.calculatorx.com/calc/physics/reynolds",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/reynolds",
      "capability_id": "physics.fluid.reynolds",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.reynolds.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.reynolds.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.fluid.reynolds/1.0.0.json",
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      "description": "Re, rel_roughness | eps_m+D_m",
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      "engine": "darcy-weisbach",
      "description": "f, L, v, D, rho, g?",
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      "engine": "henderson-hasselbalch",
      "description": "pKa|Ka, HA, A",
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      "capability_id": "chemistry.acid_base.henderson_hasselbalch",
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    {
      "name": "molarity",
      "engine": "molarity",
      "description": "mode molarity|amount|volume|dilution; amount, volume | molarity | c1,v1,c2,v2",
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      "capability_id": "chemistry.solution.molarity",
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      "name": "ph",
      "engine": "ph",
      "description": "mode ph_from_h|h_from_ph|poh_from_oh|oh_from_poh|ph_from_poh|poh_from_ph; h | pH | oh | pOH",
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      "capability_id": "chemistry.acid_base.ph",
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    {
      "name": "stefan-boltzmann",
      "engine": "stefan-boltzmann",
      "description": "Th, Tc, epsilon?, A?",
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    {
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      "description": "mode P2|v2|h2; rho; P,v,h sides",
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      "name": "specific-heat",
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      "description": "mode Q|m|c|dT; m,c,dT|Q",
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      "engine": "newton-lbf",
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      "description": "mode v|s|a|t|s_avg; u,v,a,t,s",
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      "name": "torque",
      "engine": "torque",
      "description": "mode tau|F|r; r,F,angle?",
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      "name": "free-fall",
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      "description": "mode v|s|t; t|s; u?,g?",
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      "description": "mode W|P_from_W|P_from_Fv",
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      "name": "flow-rate",
      "engine": "flow-rate",
      "description": "mode Q|v|A; A or D; v|Q",
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      "description": "mode v|s|t; s,t|v",
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        "internally_reviewed": false,
        "review_kind": null,
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        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "displacement",
      "engine": "displacement",
      "description": "mode dx|mag2d; x,x0|dx,dy",
      "page": "https://www.calculatorx.com/calc/physics/displacement",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/displacement",
      "capability_id": "physics.kinematics.displacement",
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      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.kinematics.displacement.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.kinematics.displacement.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.kinematics.displacement/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "drag",
      "engine": "drag",
      "description": "mode Fd|v|Cd; ρ,A,v,Cd",
      "page": "https://www.calculatorx.com/calc/physics/drag",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/drag",
      "capability_id": "physics.fluid.drag",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.fluid.drag.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.fluid.drag.output.json",
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      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "magnetic-field",
      "engine": "magnetic-field",
      "description": "mode wire|solenoid; I,r|n",
      "page": "https://www.calculatorx.com/calc/physics/magnetic-field",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/magnetic-field",
      "capability_id": "physics.em.magnetic_field",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.em.magnetic_field.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.em.magnetic_field.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.em.magnetic_field/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
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        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
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    },
    {
      "name": "time-dilation",
      "engine": "time-dilation",
      "description": "mode dilate|proper|gamma; v,Δτ|Δt",
      "page": "https://www.calculatorx.com/calc/physics/time-dilation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/time-dilation",
      "capability_id": "physics.modern.time_dilation",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.modern.time_dilation.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.modern.time_dilation.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.modern.time_dilation/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "youngs",
      "engine": "youngs",
      "description": "mode Y|dL|F; F,A,L0,ΔL",
      "page": "https://www.calculatorx.com/calc/physics/youngs",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/youngs",
      "capability_id": "physics.materials.youngs",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/physics.materials.youngs.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/physics.materials.youngs.output.json",
      "evidence": "https://www.calculatorx.com/evidence/physics.materials.youngs/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "opamp-gain",
      "engine": "opamp-gain",
      "description": "mode noninverting|inverting; Rf_ohm, Rg_ohm",
      "page": "https://www.calculatorx.com/calc/electric/opamp-gain",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/opamp-gain",
      "capability_id": "electrical.opamp_gain",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.opamp_gain.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.opamp_gain.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.opamp_gain/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "antenna-length",
      "engine": "antenna-length",
      "description": "mode half|quarter|wavelength; f_Hz; length_factor? (k, default 1; velocity_factor deprecated alias)",
      "page": "https://www.calculatorx.com/calc/electric/antenna-length",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/antenna-length",
      "capability_id": "electrical.rf.antenna_length",
      "calculation_version": "1.0.3",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.antenna_length.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.antenna_length.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.antenna_length/1.0.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-05",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "ac-dc-rectifier",
      "engine": "ac-dc-rectifier",
      "description": "mode half|full; Vac_rms; f_line_Hz?; I_load_A+C_F together for capacitor model",
      "page": "https://www.calculatorx.com/calc/electric/ac-dc-rectifier",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ac-dc-rectifier",
      "capability_id": "electrical.ac_dc_rectifier",
      "calculation_version": "1.1.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ac_dc_rectifier.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ac_dc_rectifier.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ac_dc_rectifier/1.1.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-18",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "adc-error-budget",
      "engine": "adc-error-budget",
      "description": "n_bits (integer 1…32), FSR_V; gain/offset/inl/dnl LSB; combine rss|worst_case. MCP electrical.adc.error_budget",
      "page": "https://www.calculatorx.com/calc/electric/adc-error-budget",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/adc-error-budget",
      "capability_id": "electrical.adc.error_budget",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.adc.error_budget.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.adc.error_budget.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.adc.error_budget/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
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        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-03",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "pcb-diff-impedance",
      "engine": "pcb-diff-impedance",
      "description": "W_m, H_m, S_m, er",
      "page": "https://www.calculatorx.com/calc/electric/pcb-diff-impedance",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pcb-diff-impedance",
      "capability_id": "electrical.pcb.diff_impedance",
      "calculation_version": "1.0.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.pcb.diff_impedance.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.pcb.diff_impedance.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.diff_impedance/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "current-divider",
      "engine": "current-divider",
      "description": "It+R1+R2 (web); API also R1+R2+I1/I2 or It+I1+R1/R2",
      "page": "https://www.calculatorx.com/calc/electric/current-divider",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/current-divider",
      "capability_id": "electrical.current_divider",
      "calculation_version": "1.0.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.current_divider.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.current_divider.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.current_divider/1.0.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-14",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "hpf",
      "engine": "hpf",
      "description": "any two of R,C,fc; optional f",
      "page": "https://www.calculatorx.com/calc/electric/hpf",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/hpf",
      "capability_id": "electrical.hpf",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.hpf.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.hpf.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.hpf/1.0.0.json",
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        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "vswr",
      "engine": "vswr",
      "description": "mode gamma|vswr|rl + Gamma|VSWR|RL_dB",
      "page": "https://www.calculatorx.com/calc/electric/vswr",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/vswr",
      "capability_id": "electrical.rf.vswr",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.rf.vswr.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.rf.vswr.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.rf.vswr/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "tolerance-stackup",
      "engine": "tolerance-stackup",
      "description": "mode rss|worst_case; tol[] or tol1…",
      "page": "https://www.calculatorx.com/calc/engineering/tolerance-stackup",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/tolerance-stackup",
      "capability_id": "engineering.tolerance.stackup",
      "calculation_version": "1.4.0",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.stackup.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.tolerance.stackup.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.tolerance.stackup/1.4.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX engineering review",
        "reviewer_role": "metrology-engineer",
        "last_reviewed": "2026-08-11",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "opamp-error-budget",
      "engine": "opamp-error-budget",
      "description": "Vos, Rf, Rg; optional Ib,Ios; mode; combine",
      "page": "https://www.calculatorx.com/calc/electric/opamp-error-budget",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/opamp-error-budget",
      "capability_id": "electrical.opamp.error_budget",
      "calculation_version": "1.0.0",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.opamp.error_budget.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.opamp.error_budget.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.opamp.error_budget/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "uncertainty-propagate",
      "engine": "uncertainty-propagate",
      "description": "mode sum|difference|product|quotient (+ a,ua,b,ub) | sensitivity (+ coefficients[], uncertainties[], optional y) | rss (+ uncertainties[])",
      "page": "https://www.calculatorx.com/calc/engineering/uncertainty-propagate",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/uncertainty-propagate",
      "capability_id": "engineering.uncertainty.propagate",
      "calculation_version": "1.9.8",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.propagate.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/engineering.uncertainty.propagate.output.json",
      "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.propagate/1.9.8.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX engineering review",
        "reviewer_role": "metrology-engineer",
        "last_reviewed": "2026-08-10",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "energy-cost",
      "engine": "energy-cost",
      "description": "mode (watts|kwh), W, hours, days, kWh, rate",
      "page": "https://www.calculatorx.com/calc/electric/energy-cost",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/energy-cost",
      "capability_id": "electrical.energy_cost",
      "calculation_version": "1.4.2",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.energy_cost.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.energy_cost.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.energy_cost/1.4.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "watt-volt-amp",
      "engine": "watt-volt-amp",
      "description": "any two of P, V, I, R",
      "page": "https://www.calculatorx.com/calc/electric/watt-volt-amp",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watt-volt-amp",
      "capability_id": "electrical.watt_volt_amp",
      "calculation_version": "1.5.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watt_volt_amp.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watt_volt_amp.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watt_volt_amp/1.5.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "power",
      "engine": "electric-power",
      "description": "mode power-vi|power-ir|power-energy (aliases vi_dc|vi_ac_single|vi_ac_three_phase_ll|i2r|energy_average); V×I: a|V, b|I, phase, power_factor in [0,1] (blank→1, 0 is valid); I²R: a|R, b|I; energy: a|E, b|Δt>0",
      "page": "https://www.calculatorx.com/calc/electric/power",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/power",
      "capability_id": "electrical.power",
      "calculation_version": "1.3.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.power.agent.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.power.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.power/1.3.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "electricity",
      "engine": "electricity-bill",
      "description": "mode (kwh|meter), kWh, prev, curr, rate, standing, days, fee",
      "page": "https://www.calculatorx.com/calc/electric/electricity",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/electricity",
      "capability_id": "electrical.electricity_bill",
      "calculation_version": "1.3.1",
      "tier": "internally_reviewed",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.electricity_bill.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.electricity_bill.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.electricity_bill/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": true,
        "review_kind": "internal",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-13",
        "version_lock_supported": true,
        "expert_review_status": "not_applicable",
        "internal_review_status": "approved"
      }
    },
    {
      "name": "mah-to-wh",
      "engine": "mah-to-wh",
      "description": "mode (mah-wh|wh-mah), a|mAh|Wh, b|V (>0)",
      "page": "https://www.calculatorx.com/calc/electric/mah-to-wh",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/mah-to-wh",
      "capability_id": "electrical.mah_to_wh",
      "calculation_version": "1.3.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.mah_to_wh.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.mah_to_wh.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.mah_to_wh/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "amps-to-kw",
      "engine": "amps-kw",
      "description": "mode a-kw|kw-a; current_a|power_kw, voltage_v; system dc|ac_single|ac_three; power_factor for AC",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-to-kw",
      "capability_id": "electrical.amps_to_kw",
      "calculation_version": "1.4.3",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.amps_to_kw.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.amps_to_kw.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.amps_to_kw/1.4.3.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-09-05",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "amps-to-volts",
      "engine": "amps-volts",
      "description": "mode a-v-ohm|a-v-watt|v-a-ohm|v-a-watt; current|resistance|power|voltage; system; AC requires power_factor; DC omits it",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-volts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-to-volts",
      "capability_id": "electrical.amps_to_volts",
      "calculation_version": "1.4.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.amps_to_volts.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.amps_to_volts.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.amps_to_volts/1.4.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kva-to-amps",
      "engine": "kva-amps",
      "description": "mode kva-a|a-kva; a, b, phase",
      "page": "https://www.calculatorx.com/calc/electric/kva-to-amps",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kva-to-amps",
      "capability_id": "electrical.kva_to_amps",
      "calculation_version": "1.4.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kva_to_amps.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kva_to_amps.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kva_to_amps/1.4.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "va-to-kva",
      "engine": "scale",
      "description": "a, factor",
      "page": "https://www.calculatorx.com/calc/electric/va-to-kva",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/va-to-kva",
      "capability_id": "electrical.va_to_kva",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.va_to_kva.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.va_to_kva.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.va_to_kva/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kva-to-kw",
      "engine": "kva-kw",
      "description": "mode kva-kw|kw-kva; a, b=pf",
      "page": "https://www.calculatorx.com/calc/electric/kva-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kva-to-kw",
      "capability_id": "electrical.kva_to_kw",
      "calculation_version": "1.4.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kva_to_kw.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kva_to_kw.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kva_to_kw/1.4.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kw-to-va",
      "engine": "kw-va",
      "description": "mode kw-va|va-kw; a, b=pf",
      "page": "https://www.calculatorx.com/calc/electric/kw-to-va",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kw-to-va",
      "capability_id": "electrical.kw_to_va",
      "calculation_version": "1.3.1",
      "tier": "expert_verified",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kw_to_va.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kw_to_va.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kw_to_va/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": true,
        "internally_reviewed": false,
        "review_kind": "expert",
        "source_checked": true,
        "reviewed_by": "CalculatorX electrical review",
        "reviewer_role": "electrical-engineer",
        "last_reviewed": "2026-08-08",
        "version_lock_supported": true,
        "expert_review_status": "approved",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "watts-to-va",
      "engine": "watts-va",
      "description": "mode (w-va|va-w), a|P|S, b|power_factor in (0,1]; optional factor",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-va",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-va",
      "capability_id": "electrical.watts_to_va",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_va.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_va.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_va/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "watts-to-kva",
      "engine": "scale-quotient",
      "description": "a (W or kVA), b=PF in (0,1], factor (0.001 W→kVA | 1000 kVA→W)",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-kva",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-kva",
      "capability_id": "electrical.watts_to_kva",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_kva.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_kva.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_kva/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "kwh-to-watts",
      "engine": "scale-quotient",
      "description": "a (kWh or W), b=hours > 0, factor (1000 kWh→W | 0.001 W→kWh)",
      "page": "https://www.calculatorx.com/calc/electric/kwh-to-watts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kwh-to-watts",
      "capability_id": "electrical.kwh_to_watts",
      "calculation_version": "1.2.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.kwh_to_watts.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.kwh_to_watts.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.kwh_to_watts/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "volts-to-joules",
      "engine": "product",
      "description": "a (V or J), b=charge C (≠ 0 on reverse)",
      "page": "https://www.calculatorx.com/calc/electric/volts-to-joules",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/volts-to-joules",
      "capability_id": "electrical.volts_to_joules",
      "calculation_version": "1.2.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.volts_to_joules.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.volts_to_joules.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.volts_to_joules/1.2.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "watts-to-joules",
      "engine": "product",
      "description": "a (W or J), b=time seconds > 0; optional factor (60 min | 3600 h)",
      "page": "https://www.calculatorx.com/calc/electric/watts-to-joules",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/watts-to-joules",
      "capability_id": "electrical.watts_to_joules",
      "calculation_version": "1.2.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_joules.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.watts_to_joules.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_joules/1.2.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "awg-to-mm",
      "engine": "awg",
      "description": "awg (12 | 1/0 | 4/0 | −3…), field (mm|mm2)",
      "page": "https://www.calculatorx.com/calc/wire/awg-to-mm",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/awg-to-mm",
      "capability_id": "electrical.awg_to_mm",
      "calculation_version": "1.5.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.awg_to_mm.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.awg_to_mm.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.awg_to_mm/1.5.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "swg-to-mm",
      "engine": "swg",
      "description": "swg (14 | 7/0 | 2/0 | −6…50 | 0 | 1/0), field (mm|mm2); legacy alias a. Success echo adds input_token, canonical_swg, canonical_label, canonical_inch, input_alias_used.",
      "page": "https://www.calculatorx.com/calc/wire/swg-to-mm",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/swg-to-mm",
      "capability_id": "electrical.swg_to_mm",
      "calculation_version": "1.3.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.swg_to_mm.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.swg_to_mm.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.swg_to_mm/1.3.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "percentage",
      "engine": "percentage",
      "description": "mode (of | is-what | of-what | change | adjust-up | adjust-down | difference); p, x, y, old, new, a, b (share aliases pInput, xInput, yInput, oldInput, newInput, aInput, bInput)",
      "page": "https://www.calculatorx.com/calc/math/percentage",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/percentage",
      "capability_id": "math.percentage",
      "calculation_version": "1.1.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.percentage.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.percentage.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.percentage/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "percent-change",
      "engine": "percent-change",
      "description": "any two of v1, v2, p; optional solve_for (p | v1 | v2). Aliases: v1Input/oldV, v2Input/newV, pInput/percent. Inverse V₁ can have 0, 1, or 2 solutions because the denominator is |V₁|.",
      "page": "https://www.calculatorx.com/calc/math/percentage-change",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/percent-change",
      "capability_id": "math.percent_change",
      "calculation_version": "1.1.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.percent_change.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.percent_change.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.percent_change/1.1.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "pythagorean",
      "engine": "pythagorean",
      "description": "any two of a, b, c; optional solve_for (a | b | c) or mode=verify. Aliases: aInput, bInput, cInput. All three without solve_for → verify.",
      "page": "https://www.calculatorx.com/calc/math/pythagorean",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/pythagorean",
      "capability_id": "math.pythagorean",
      "calculation_version": "1.1.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.pythagorean.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.pythagorean.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.pythagorean/1.1.1.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "ratio",
      "engine": "ratio",
      "description": "mode (simplify | proportion | scale | split | compare | convert); a, b, optional c / d / k / total. Aliases: aInput, bInput, cInput, dInput, kInput, totalInput. terms=2|3. scaleOp=multiply|divide. Decimals and simple fractions (3/4) accepted.",
      "page": "https://www.calculatorx.com/calc/math/ratio",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/ratio",
      "capability_id": "math.ratio",
      "calculation_version": "1.0.2",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.ratio.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.ratio.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.ratio/1.0.2.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "subtraction",
      "engine": "subtraction",
      "description": "any two of minuend, subtrahend, difference; optional mode (difference | long). Aliases: minInput, subInput, diffInput, a, b, d. Long mode requires minuend and subtrahend (non-negative, no scientific notation); minuend < subtrahend yields a negative difference.",
      "page": "https://www.calculatorx.com/calc/math/subtraction",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/subtraction",
      "capability_id": "math.subtraction",
      "calculation_version": "1.0.1",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.subtraction.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.subtraction.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.subtraction/1.0.1.json",
      "trust": {
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        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "combinatorics",
      "engine": "combinatorics",
      "description": "mode permutation|combination (default combination); n, k. Aliases: nInput, kInput, nPr, nCr, binomial",
      "page": "https://www.calculatorx.com/calc/math/permutation-combination",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/combinatorics",
      "capability_id": "math.combinatorics",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.combinatorics.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.combinatorics.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.combinatorics/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "modulo",
      "engine": "modulo",
      "description": "a (dividend), modulus. Alias: m (engine only; share uses modulus)",
      "page": "https://www.calculatorx.com/calc/math/modulo",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/modulo",
      "capability_id": "math.modulo",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.modulo.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.modulo.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.modulo/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "prime-factorization",
      "engine": "prime-factorization",
      "description": "mode factorize|is_prime (default factorize); n. Alias: nInput",
      "page": "https://www.calculatorx.com/calc/math/prime-factorization",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/prime-factorization",
      "capability_id": "math.prime_factorization",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.prime_factorization.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.prime_factorization.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.prime_factorization/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "linear-equation",
      "engine": "linear-equation",
      "description": "a, b, rhs. Alias: c for rhs. Solves ax + b = rhs. Not quadratic.",
      "page": "https://www.calculatorx.com/calc/math/linear-equation",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/linear-equation",
      "capability_id": "math.algebra.linear_equation",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.algebra.linear_equation.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.algebra.linear_equation.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.algebra.linear_equation/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "triangle-solver",
      "engine": "triangle-solver",
      "description": "mode sss|sas|asa|aas|ssa; sides a,b,c; angles A_deg, B_deg, C_deg. Not Pythagorean-only.",
      "page": "https://www.calculatorx.com/calc/math/triangle-solver",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/triangle-solver",
      "capability_id": "math.geometry.triangle",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.triangle.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.triangle.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.triangle/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "complex",
      "engine": "complex",
      "description": "mode add|sub|mul|div|rect_to_polar|polar_to_rect|conjugate|modulus; re, im, re2, im2, r, arg_deg",
      "page": "https://www.calculatorx.com/calc/math/complex-number",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/complex",
      "capability_id": "math.complex",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.complex.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.complex.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.complex/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "circle",
      "engine": "circle",
      "description": "mode from_radius|from_diameter|from_circumference|from_area|arc|sector; r, diameter, circumference, area, theta_deg. Not Pythagorean.",
      "page": "https://www.calculatorx.com/calc/math/circle",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/circle",
      "capability_id": "math.geometry.circle",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.circle.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.circle.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.circle/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "coordinate-geometry",
      "engine": "coordinate-geometry",
      "description": "mode distance|midpoint|slope; x1, y1, x2, y2. Slope is not share-key m.",
      "page": "https://www.calculatorx.com/calc/math/coordinate-geometry",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/coordinate-geometry",
      "capability_id": "math.geometry.coordinate",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.geometry.coordinate.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.geometry.coordinate.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.geometry.coordinate/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "numerical-root",
      "engine": "numerical-root",
      "description": "method newton|bisection|secant; coeffs c0,c1,…; x0; a,b for bisection; x1 for secant. Not nth-root.",
      "page": "https://www.calculatorx.com/calc/math/numerical-root",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/numerical-root",
      "capability_id": "math.numerical.root",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.numerical.root.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.numerical.root.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.numerical.root/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "definite-integral",
      "engine": "definite-integral",
      "description": "method simpson|trapezoid; integrand poly|sin|exp; a, b, n; coeffs for poly. Not indefinite CAS.",
      "page": "https://www.calculatorx.com/calc/math/definite-integral",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/definite-integral",
      "capability_id": "math.numerical.definite_integral",
      "calculation_version": "1.0.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/math.numerical.definite_integral.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/math.numerical.definite_integral.output.json",
      "evidence": "https://www.calculatorx.com/evidence/math.numerical.definite_integral/1.0.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "amps-kw",
      "engine": "amps-kw",
      "description": "mode a-kw|kw-a; current_a|power_kw, voltage_v; system dc|ac_single|ac_three; power_factor for AC",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-kw"
    },
    {
      "name": "amps-volts",
      "engine": "amps-volts",
      "description": "mode a-v-ohm|a-v-watt|v-a-ohm|v-a-watt; current|resistance|power|voltage; system dc|ac_single|ac_three on watts; power_factor required for AC, omitted for DC",
      "page": "https://www.calculatorx.com/calc/electric/amps-to-volts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/amps-volts"
    },
    {
      "name": "volts-kw",
      "engine": "volts-kw",
      "description": "mode v-kw|kw-v; a/V|P_kW, b/I; phase; pf∈(0,1]",
      "page": "https://www.calculatorx.com/calc/electric/volts-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/volts-kw"
    },
    {
      "name": "kva-amps",
      "engine": "kva-amps",
      "description": "mode kva-a|a-kva; a/kVA|I, b/V; phase (no PF)",
      "page": "https://www.calculatorx.com/calc/electric/kva-to-amps",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kva-amps"
    },
    {
      "name": "kva-kw",
      "engine": "kva-kw",
      "description": "mode kva-kw|kw-kva; a; pf∈(0,1]",
      "page": "https://www.calculatorx.com/calc/electric/kva-to-kw",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kva-kw"
    },
    {
      "name": "kw-va",
      "engine": "kw-va",
      "description": "mode kw-va|va-kw; a; pf∈(0,1]",
      "page": "https://www.calculatorx.com/calc/electric/kw-to-va",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/kw-va"
    },
    {
      "name": "volts-to-ev",
      "engine": "ev-voltage",
      "description": "alias of ev-to-volts; same four modes",
      "page": "https://www.calculatorx.com/calc/electric/ev-to-volts",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/volts-to-ev",
      "capability_id": "electrical.ev_voltage",
      "calculation_version": "1.3.0",
      "tier": "engine_tested",
      "input_schema": "https://www.calculatorx.com/schemas/electrical.ev_voltage.input.json",
      "output_schema": "https://www.calculatorx.com/schemas/electrical.ev_voltage.output.json",
      "evidence": "https://www.calculatorx.com/evidence/electrical.ev_voltage/1.3.0.json",
      "trust": {
        "engine_tested": true,
        "expert_reviewed": false,
        "internally_reviewed": false,
        "review_kind": null,
        "source_checked": true,
        "reviewed_by": null,
        "reviewer_role": null,
        "last_reviewed": null,
        "version_lock_supported": true,
        "expert_review_status": "optional_not_performed",
        "internal_review_status": "not_applicable"
      }
    },
    {
      "name": "sum",
      "engine": "sum",
      "description": "values[] or sumInput (comma / space / newline-separated). Optional mode (sum | long). Aliases: values, input. Long mode requires non-negative decimals without scientific notation.",
      "page": "https://www.calculatorx.com/calc/math/add",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/sum"
    },
    {
      "name": "linear-algebra",
      "engine": "linear-algebra",
      "description": "mode solve|det|inverse|multiply|transpose; order 2–4; a11…; b1… or b11… for multiply. Workspace: /workspace/matrix",
      "page": "https://www.calculatorx.com/calc/math/linear-system",
      "endpoint": "https://www.calculatorx.com/api/v1/calc/linear-algebra"
    }
  ],
  "embeddable": [
    {
      "slug": "electric/ac-dc-rectifier",
      "title": "AC to DC Rectifier Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/ac-dc-rectifier",
      "page_url": "https://www.calculatorx.com/calc/electric/ac-dc-rectifier"
    },
    {
      "slug": "electric/adc-error-budget",
      "title": "ADC Error Budget Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/adc-error-budget",
      "page_url": "https://www.calculatorx.com/calc/electric/adc-error-budget"
    },
    {
      "slug": "electric/adc-snr",
      "title": "ADC SNR / Quantization Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/adc-snr",
      "page_url": "https://www.calculatorx.com/calc/electric/adc-snr"
    },
    {
      "slug": "electric/amps-to-kw",
      "title": "Amps to kW Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/amps-to-kw",
      "page_url": "https://www.calculatorx.com/calc/electric/amps-to-kw"
    },
    {
      "slug": "electric/amps-to-va",
      "title": "Amps to VA Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/amps-to-va",
      "page_url": "https://www.calculatorx.com/calc/electric/amps-to-va"
    },
    {
      "slug": "electric/amps-to-volts",
      "title": "Amps to Volts Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/amps-to-volts",
      "page_url": "https://www.calculatorx.com/calc/electric/amps-to-volts"
    },
    {
      "slug": "electric/antenna-length",
      "title": "Antenna Length Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/antenna-length",
      "page_url": "https://www.calculatorx.com/calc/electric/antenna-length"
    },
    {
      "slug": "electric/battery-aging",
      "title": "Linear Battery Aging Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/battery-aging",
      "page_url": "https://www.calculatorx.com/calc/electric/battery-aging"
    },
    {
      "slug": "electric/battery-pack-sizing",
      "title": "Battery Pack Sizing Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/battery-pack-sizing",
      "page_url": "https://www.calculatorx.com/calc/electric/battery-pack-sizing"
    },
    {
      "slug": "electric/battery-runtime",
      "title": "Battery Runtime Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/battery-runtime",
      "page_url": "https://www.calculatorx.com/calc/electric/battery-runtime"
    },
    {
      "slug": "electric/battery-runtime-temp",
      "title": "Battery Runtime with Temperature",
      "embed_url": "https://www.calculatorx.com/embed/electric/battery-runtime-temp",
      "page_url": "https://www.calculatorx.com/calc/electric/battery-runtime-temp"
    },
    {
      "slug": "electric/buck-ripple",
      "title": "Buck Converter Ripple Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/buck-ripple",
      "page_url": "https://www.calculatorx.com/calc/electric/buck-ripple"
    },
    {
      "slug": "electric/capacitance",
      "title": "Capacitance Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/capacitance",
      "page_url": "https://www.calculatorx.com/calc/electric/capacitance"
    },
    {
      "slug": "electric/cascaded-nf",
      "title": "Cascaded Noise Figure Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/cascaded-nf",
      "page_url": "https://www.calculatorx.com/calc/electric/cascaded-nf"
    },
    {
      "slug": "electric/current-divider",
      "title": "Current Divider Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/current-divider",
      "page_url": "https://www.calculatorx.com/calc/electric/current-divider"
    },
    {
      "slug": "electric/dbm-watt",
      "title": "dBm to Watts Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/dbm-watt",
      "page_url": "https://www.calculatorx.com/calc/electric/dbm-watt"
    },
    {
      "slug": "electric/diode-equation",
      "title": "Diode Equation Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/diode-equation",
      "page_url": "https://www.calculatorx.com/calc/electric/diode-equation"
    },
    {
      "slug": "electric/electricity",
      "title": "Electricity Bill Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/electricity",
      "page_url": "https://www.calculatorx.com/calc/electric/electricity"
    },
    {
      "slug": "electric/energy-consumption",
      "title": "Energy Consumption Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/energy-consumption",
      "page_url": "https://www.calculatorx.com/calc/electric/energy-consumption"
    },
    {
      "slug": "electric/energy-cost",
      "title": "Energy Cost Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/energy-cost",
      "page_url": "https://www.calculatorx.com/calc/electric/energy-cost"
    },
    {
      "slug": "electric/ev-to-volts",
      "title": "eV to Volts Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/ev-to-volts",
      "page_url": "https://www.calculatorx.com/calc/electric/ev-to-volts"
    },
    {
      "slug": "electric/fspl",
      "title": "Free-Space Path Loss Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/fspl",
      "page_url": "https://www.calculatorx.com/calc/electric/fspl"
    },
    {
      "slug": "electric/heatsink-rth",
      "title": "Heatsink Thermal Resistance Calculator — θJC, θCS, θSA & Junction Temperature",
      "embed_url": "https://www.calculatorx.com/embed/electric/heatsink-rth",
      "page_url": "https://www.calculatorx.com/calc/electric/heatsink-rth"
    },
    {
      "slug": "electric/hpf",
      "title": "High-Pass Filter Calculator",
      "embed_url": "https://www.calculatorx.com/embed/electric/hpf",
      "page_url": "https://www.calculatorx.com/calc/electric/hpf"
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