abs | absolute value |x| |
floor | the integer part of number [x] |
floor(x,n) | the integer part of division [x/n] |
ceil | the minimum integer not the smaller x |
gcd(x,…,z) | the greatest common diviser of integers |
lcm(x,…,z) | the least common multiple of integers |
sqrt(x[,eps]) | the square root √x [with supported quality eps] |
cbrt | cube root |
exp | exponent e^{x} |
ln | the log natural ln(x) |
log(base,x) | the log with the base: log_{base}(x) |
! | factorial x! |
sin | sine sin(x) |
cos | cosine cos(x) |
tan | tangent tan(x) |
cot | cotangent cot(x) |
arcsin | arcsine sin^{-1}(x) |
arccos | arccosine cos^{-1}(x) |
arctan | arctangent tan^{-1}(x) |
arctan(y,x) | arctangent from division tan^{-1}(y/x) |
sinh | sine hyperbolic sinh(x) |
cosh | cosine hyperbolic cosh(x) |
tanh | tangent hyperbolic tanh(x) |
cth | cotangent hyperbolic cth(x) |
arsinh | arcsine hyperbolic sinh^{-1}(x) |
arcosh | arccosine hyperbolic cosh^{-1}(x) |
artanh | arctangent hyperbolic tanh^{-1}(x) |
degrees | =x*180/π |
radians | =x/180*π |
combin(x,n) | =C(x,n)=n!/x!/(n-x)! |
combina(x,n) | =n!/(n-x)! |
multinomial(x,…,z) | =(x+…+z)!/x!…/z! |
erf(x) | Gauss error function: 2_{/√π}∫_{0}^{x}(e^{-t2})ⅆt ; 3 → 0.999978 |
inverf(x) | 0.999978 → 3 |
num(x) | numerator |
denom(x) | denomirator |
round(x) | rounding to integer value |
round(x,y) | rounding in limits [x-y,x+y] |
real(x) | real part of complex number |
imag(x) | imagine part of complex number |