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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

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AB: [-2,-4,0];

AC: [-8,-4,3];

p: AB.AC;

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radcan(log(43) / log(...

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