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The Maxima on-line user's manual

Algebra Calculator

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Hipow Calculator

Hipow

Function: hipow (<expr>, <x>) Returns the highest explicit exponent of <x> in <expr>. <x> may be a variable or a general expression. If <x> does not appear in <expr>, hipow returns 0.

hipow does not consider expressions equivalent to expr. In particular, hipow does not expand expr, so hipow (<expr>, <x>) and hipow (expand (<expr>, <x>)) may yield different results.

Examples:

          (%i1) hipow (y^3 * x^2 + x * y^4, x);
          (%o1)                           2
          (%i2) hipow ((x + y)^5, x);
          (%o2)                           1
          (%i3) hipow (expand ((x + y)^5), x);
          (%o3)                           5
          (%i4) hipow ((x + y)^5, x + y);
          (%o4)                           5
          (%i5) hipow (expand ((x + y)^5), x + y);
          (%o5)                           0

(%o1)                                true
(%i2) 

Hipow Example

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hipow-is

answer:(x-1)^2+y-2=0;

is(hipow(answer,x)#2);

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eq:(a+c)*b/2;

hipow(subst(x,c,subst...

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hipow-is-length-split-sqrt-string

answer: x-2*sqrt(x)-8=0;

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hipow-is

hipow("x=1",x);

is(hipow("x=1",x)=1);

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hipow-is-reveal-sqrt

answer: x-2*sqrt(x)-8=0;

hipow(answer,x);

reveal(answer,1);

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hipow-is-subst

answer: z^2+1=0;

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is(hipow(z,answer)>...

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hipow-lopow

f: x+1/x;

hipow(f,x);

lopow(f,x);

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hipow-num-reveal-sqrt

reveal((sqrt(h+3)-sqr...

hipow(num((sqrt(h+3)-...

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hipow-num-reveal-sqrt

reveal((sqrt(h+3)-sqr...

hipow(num((sqrt(h+3)-...

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hipow-is-lhs-part-rhs

aa: x^2=2*x+5;

bb: lhs(aa)-rhs(aa);

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