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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.

f:a^5*b;
f1:f^(1/3);
f2:radcan(f1);
g:a*b^(-3);
g1:1/sqrt(g);
g2:radcan(g1);
f3:f2*g2;

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

F_n : a;

F_n1 : b;

F_n2 : F_n1 + F_n;

Calculate

radcan-solve-subst

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

radcan(mye);

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

Calculate

radcan-signum

log4(x) := log(x) / l...

signum(radcan(log4(43...

Calculate

radcan-sqrt

radcan(sqrt(4+(x^2))/...

Calculate

radcan-solve-subst

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

radcan(mye);

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

Calculate

radcan-sqrt

radcan((a^5*b)^(1/3)/...

Calculate

radcan

v: a+b^2/z+c^2/z+d^2-...

radcan(v);

Calculate

radcan-sqrt

f:a^5*b;

f1:f^(1/3);

f2:radcan(f1);

Calculate

radcan-solve-subst

l:solve(x^3 - (21/4)*...

l[1];

radcan(subst(l[2],x^3...

Calculate

radcan-sqrt

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

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

a.b;

Calculate