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 indicated relative precision result*(1-eps)..result*(1+eps)]. By default precision is 2-64. |
cbrt(x[,eps]) | the cube root ∛x [with indicated relative precision result*(1-eps)..result*(1+eps)]. By default precision is 2-64. |
exp | exponent ex |
ln(x[,eps]) | the logarithm [with indicated precision result-eps..result+eps]. By default precision is 2-64. |
log(base,x) | the log with the base: logbase(x) |
! | factorial x! |
sin(x[,eps]) | sine [with indicated precision result-eps..result+eps]. By default precision is 2-64. |
cos(x[,eps]) | cosine [with indicated precision result-eps..result+eps]. By default precision is 2-64. |
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∫0x(e-t2)ⅆt |
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 |
random(max) | random floating number, smaller on absolute value, than max |
randomcomplex(x) | complex number, smaller in absolute value than abs|x| |
randomnormal(average,deviation) | random number, with normal distribution |