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The Maxima on-line user's manual

Algebra Calculator

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Demoivre

Function: demoivre (<expr>) -- Option variable: demoivre The function demoivre (expr) converts one expression without setting the global variable demoivre.

depends(y,x);
z:diff(y,x)=(y/x)^2-2;
depends(u,x);
r:z,y=u*x,nouns;
a:ode2(r,u,x);
p:a,u=y/x;
s:solve(p,y);
demoivre(s);

When the variable demoivre is true, complex exponentials are converted into equivalent expressions in terms of circular functions: exp (a + b*%i) simplifies to %e^a * (cos(b) + %i*sin(b)) if b is free of %i. a and b are not expanded.

The default value of demoivre is false.

exponentialize converts circular and hyperbolic functions to exponential form. demoivre and exponentialize cannot both be true at the same time.

(%o1)                                true
(%i2) 

Related Examples

demoivre

z1: 2+3*%i;

z2 : -1 -5*%i;

demoivre(z1 / z2);

Calculate

demoivre-matrix-true

aa : matrix([a,b],[c,...

demoivre: true;

matrixexp(aa);

Calculate

demoivre-ev-true

demoivre;

%e^(%i*w);

expr:%e^(%i*w);

Calculate

demoivre-polarform-sqrt

w:1+%i*sqrt(2);

z:polarform(w);

demoivre(z);

Calculate

demoivre-true

"check the value of t...

demoivre;

%e^(%i*w);

Calculate

demoivre-polarform-sqrt

w:1+%i*sqrt(2);

z:polarform(w);

demoivre(z);

Calculate

demoivre-exp-polarform

z : 4 *exp(%i *5);

polarform(z);

demoivre(z);

Calculate

demoivre-ev-true

demoivre;

%e^(%i*w);

expr:%e^(%i*w);

Calculate

demoivre

demoivre (((a^2)*(b^2...

Calculate

demoivre

eq1:(70.71 * 65 + 81....

demoivre (eq1);

Calculate