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The Maxima on-line user's manual

Algebra Calculator

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Rectform

Function: rectform (<expr>) Returns an expression a + b %i equivalent to <expr>, such that <a> and <b> are purely real.

eq1: R/(R+%i*2*pi*f*L+1/(%i*2*pi*f*C));
eq2: rectform(eq1);
eq3: abs(eq2);
eq4: eq3^2;
eq5: eq4 - A^2;
eq6: eq5^2;

(%o1)                                true
(%i2) 

Related Examples

rectform-sqrt

z:((2*%i^224)*(sqrt(3...

z^15;

rectform(%);

Calculate

rectform

rectform((1+2*%i)^3);

Calculate

rectform-sqrt

rectform(sqrt(%rho*%e...

Calculate

rectform

rectform((2+%i)*(3-2*...

rectform((1-%i)^3/(2+...

rectform(1/(3+%i)-(1/...

Calculate

rectform-sin

rectform((-1+%i)^7);

2^(7/2)*(%i/3);

sin(%pi/4);

Calculate

rectform

z1: 1+5*%i;

z2: 2+7*%i;

rectform(z1*z2);

Calculate

rectform-sqrt

z1:(1+2*sqrt(2)*%i)*(...

z2:(2+sqrt(5)*%i)*(1+...

rectform(z1);

Calculate

rectform

a: ((3+%i)*(1-%i))/(1...

rectform(a);

Calculate

rectform

a: 3+%i;

b: 2-%i;

rectform(a/b);

Calculate

rectform

x:(3^(1/2)+%i)*((2*3^...

rectform(x);

Calculate