Subversion Repositories wimsdev

:Mathematical functions

:Function,Example,Effect

:evalue( )

evalue(x^2+sin(y),x=3,y=4)

evaluation of the function x^2+sin(y), for x=3, y=4

:solve( )

solve(x^3-3*x+1,x=0..1)

the simple root of x^3-3x+1 between 0 and 1

:simplify( )

simplify(x^5*y^3*x^2/y)

simplified expression: x<sup>7</sup>y<sup>2</sup>

:diff( )

diff(sin(x)+cos(y),x)

the derivative of sin(x)+cos(y) with respect to x

:int( , )

int(x^2+3*x+1,x)

anti-derivative of x^2+3*x+1,<br> the constant term being undertermined

:int( , = .. )

int(t^2+3*t+1,t=0..1)

the numerical integration of x^2+3*x+1, from 0 to 1

:det( )

det(\mat)

determinant of the matrix \mat

:abs( )

\real{a=abs(-32)}

absolute value (equivalent : fabs( ))

:sqrt( )

\real{a=sqrt(32)}

square root

:binomial( , )

\integer{a=binomial(9,3)}

le coefficient binomial (pour des coefficients inférieurs a 10^7 sinon utiliser la fonction de pari \text{a=pari(binomial(50,10))}

:ceil( )

\real{a=ceil(3.4)}

le plus petit entier supérieur

:floor( )

\real{a=floor(3.4)}

le plus grand entier inférieur

:rint( )

\real{a=rint(3.4)}

closest integer (equivalent : round( ))

:e

\real{a=e^2}

constante mathématique $m_e (equivalent : E)

:erf( )

\real{a=erf(3.4)}

Function erf

:erfc( )

\real{a=erfc(3.4)}

Function erfc

:Euler

\real{a=Euler}

Euler constante (equivalent EULER euler)

:exp( )

\real{a=exp(4)}

exponential

:factorial( )

\integer{a=factorial(4)}

factorial

:Inf

\real{a=Inf + 3}

infinite

:gcd( , )

\integer{a=gcd(4,6)}

pgcd de deux entiers

:lcm( , )

\integer{a=lcm(4,6)}

ppcm de deux entiers

:%

\integer{a=5%2}

remainder of long division

:max( , )

\real{a=max(4,6)}

maximum de deux nombres

:min( , )

\real{a=gcd(4,6)}

minimum de deux nombres

:lg( )

\real{a=log10(10^4)}

log en base 10 (equivalent : log10)

:lgamma( )

\real{a=lgamma(e^(24))}

log de la fonction Gamma

:ln( )

\real{a=ln(e^4)}

log népérien (equivalent : log)

:log2( )

\real{a=log2(2^4)}

log en base 2

:pow( , )

\real{a=pow(3,0.6)}

puissance, equivalent to 3^0.6

:sgn( )

\integer{a=sign(-4)}

sign (equivalent : sign)

:PI

\real{a=sin(Pi)}

mathematical constant $m_pi (equivalent : Pi, pi)

:sin

sin(3)

fonctions trigonométriques (other functions : tg tan sec (1/sin) cot cotan cotan ctg csc (1/cos))

:acos

acos(0.5)

fonctions trigonométriques réciproques (other functions : acos arccos acos arcsin asin arctan atan arctg atan)

:sh

sh(4)

fonctions hyperboliques (other functions : sh sinh tanh tanh th ch cosh coth cotanh)

:Argch

Argch(4)

fonctions hyperboliques réciproques (other functions : Argch acosh argch Argsh asinh argsh Argth atanh argth)