Calculus and analysis math symbols and definitions.
Calculus & analysis math symbols table
| Symbol | Symbol Name | Meaning / definition | Example |
|---|---|---|---|
| limit | limit value of a function | ||
| ε | epsilon | represents a very small number, near zero | ε → 0 |
| e | e constant / Euler's number | e = 2.718281828... | e = lim (1+1/x)x , x→∞ |
| y ' | derivative | derivative - Lagrange's notation | (3x3)' = 9x2 |
| y '' | second derivative | derivative of derivative | (3x3)'' = 18x |
| y(n) | nth derivative | n times derivation | (3x3)(3) = 18 |
| derivative | derivative - Leibniz's notation | d(3x3)/dx = 9x2 | |
| second derivative | derivative of derivative | d2(3x3)/dx2 = 18x | |
| nth derivative | n times derivation | ||
| time derivative | derivative by time - Newton's notation | ||
| time second derivative | derivative of derivative | ||
| Dx y | derivative | derivative - Euler's notation | |
| Dx2y | second derivative | derivative of derivative | |
| partial derivative | ∂(x2+y2)/∂x = 2x | ||
| ∫ | integral | opposite to derivation | |
| ∬ | double integral | integration of function of 2 variables | |
| ∭ | triple integral | integration of function of 3 variables | |
| ∮ | closed contour / line integral | ||
| ∯ | closed surface integral | ||
| ∰ | closed volume integral | ||
| [a,b] | closed interval | [a,b] = {x | a ≤ x ≤ b} | |
| (a,b) | open interval | (a,b) = {x | a < x < b} | |
| i | imaginary unit | i ≡ √-1 | z = 3 + 2i |
| z* | complex conjugate | z = a+bi → |
z*=a-bi | z* = 3 + 2i |
| z | complex conjugate | z = a+bi → z =a-bi | z = 3 + 2i | | ∇ | nabla / del | gradient / divergence operator | ∇f (x,y,z) | | | vector | | | | | unit vector | | | | x * y | convolution | y(t) = x(t) * h(t) | | | | Laplace transform | F(s) = {f (t)} | | | | Fourier transform | X(ω) = {f (t)} | | | δ | delta function | | | | ∞ | lemniscate | infinity symbol | |