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The Maxima on-line user's manual

Algebra Calculator

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Radcan Calculator

Radcan

Function: radcan (<expr>) Simplifies <expr>, which can contain logs, exponentials, and radicals, by converting it into a form which is canonical over a large class of expressions and a given ordering of variables; that is, all functionally equivalent forms are mapped into a unique form. For a somewhat larger class of expressions, radcan produces a regular form. Two equivalent expressions in this class do not necessarily have the same appearance, but their difference can be simplified by radcan to zero.

mye: x = x;
radcan(mye);
( is(((subst( mye, (x^2-1)/(x-1)-1 = x )))));
(is ((radcan(subst(mye,  (x^2-1)/(x-1)-1 = x )))));
solve(mye,x);

For some expressions radcan is quite time consuming. This is the cost of exploring certain relationships among the components of the expression for simplifications based on factoring and partial-fraction expansions of exponents.

Examples:

          (%i1) radcan((log(x+x^2)-log(x))^a/log(1+x)^(a/2));
                                                     a/2
          (%o1)                            log(x + 1)

          (%i2) radcan((log(1+2*a^x+a^(2*x))/log(1+a^x)));
          (%o2)                                  2

          (%i3) radcan((%e^x-1)/(1+%e^(x/2)));
                                               x/2
          (%o3)                              %e    - 1

There are also some inexact matches for radcan. Try ?? radcan to see them.

(%o1)                                true
(%i2) 

Radcan Example

Related Examples

radcan-sqrt

radcan((2+sqrt(105))/...

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radcan-sqrt

/* the side of regula...

/* the side of regula...

/* which after simpli...

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radcan-sqrt

f:a^5*b;

f1:f^(1/3);

radcan(f1);

Calculate

radcan-rhs-solve-sqrt

f:sqrt(6)/sinA=2/sin(...

sA:rhs(solve(f,sinA)[...

sA:radcan(sA);

Calculate

radcan-solve-subst

mye: (x^2-1)/(x-1)=y;

radcan(mye);

( (((subst( mye, x = ...

Calculate

radcan-sqrt

a: sqrt(2^(3/2)+1);

b: radcan(a);

Calculate

radcan-rhs-solve

sols: solve( (p-a)*(p...

radcan(rhs(sols[1]) /...

Calculate

radcan-sqrt

a : sqrt(r*s);

b : sqrt(s/r);

a1: a + 1/b;

Calculate

radcan

radcan(Ri + ((C1+(C2*...

Calculate

radcan-solve-subst

mye: (x^2-1)/(x-1)=y;

radcan(mye);

( (((subst( (x^2-1)/(...

Calculate