Mathematica: , , , .
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+ - * / ^ Sqrt[x]
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Plus[x,y,], Times[x,y,] ( ),Divide[x,y] ( x, y), Mod[x,y] ( x, y).
ֳ Divisors[n]
DivisorSigma[k,n] k .
ExtendedGCD[n,m] = n m.
GCD[n1,n2,] .
LCM[n1,n2,] - n1,n2.
Round[x]- .
Floor[x] x.
Quotient[n,m]- n/m? n/m.
Factorial[n]- .
Prime[n] n- .
PrimePi[x] x.
N[k,n] k n .
Rationalize[z,n]- z . ( ).
f//N f , .
%-
% - .
%n n .
FullSimplify[exp]- exp.
TrifExpand[f]- .
Expand[f] . 䳿 . , .
Togather- .
Collect[f,x] x. Collect[f,{x1,x2,}].
Simplify .
PowerExpand | |
ComplexExpand | , |
TrigReduce[f] cghjoe' , .
TrigExpand[f] .
TrigFactor[f] .
TrigToExp[f] .
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Random[] [0,1].
Random[type,range] , .
SeedRandom[n] , n .
PoverExpand[f] f.
FunctionExpand[f] f, .
: z=Re[z]+I*Im[z], I- .
Re[z] .
Im[z] .
Abs[z] z/
Arg[z]- z.
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Conjugate[z]- z.
f(x)/.x->a f(x) x a.
f(x,y,..)/.{x->a, y->b,} f(x,y,..), x,y, a,b,
{f1(x,y,), f2(x,y,),}/.{x->a, y->b,} x,y, a,b, .
f(x)/. x->{x0,x1,x2,} - f
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