Arithmetic
Constants
ExponentialE
= $$2.7182818284590452354\ldots$$ Euler’s number.ImaginaryI
- The imaginary unit, solution of $$x^2+1=0$$.MachineEpsilon
$$\approx 2^{−52}$$. The difference between 1 and the next larger floating point number. See WikipediaPi
= $$\pi = 3.14159265358979323\ldots$$
Functions
Abs
- Absolute value, magnitude.Chop
- Replace real numbers that are very close to 0 with 0 (less than $$10^{-10}$$).Ceil
- Rounds a number up to the next largest integer.Floor
- Round a number to the greatest integer less than the input value.Round
Erf
= $$\operatorname{Erf} z={\frac{2}{\sqrt {\pi }}}\int_{0}^{z}e^{-t^2},dt$$. The Error function is the integral of the Gaussion distribution.Erfc
= $$\operatorname {Erfc} z=1-\operatorname {Erf} z$$. The Complementary Error Function.Factorial
= $$n!$$, the products of all positive integers less than or equal to $$n$$.Gamma
$$= (n-1)!$$ The Gamma Function Wikipedia, an extension of the factorial function to complex numbers.LogGamma
SignGamma