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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

Related Examples

hipow

eq:x;

hipow(x,eq);

Calculate

hipow

p:x^3-3*x^2+5*x-1;

n:hipow(p,x);

Calculate

hipow-is-length-split-string

answer: x=1;

length(split(string(a...

is(hipow(answer,x)=1 ...

Calculate

hipow

hipow(-5/x^2,x);

Calculate

hipow

hipow((4-2*K)^(2/3)*K...

Calculate

hipow-is

eq:x*4;

hipow(eq,x)=0;

is(lowpow(eq,x)=0 and...

Calculate

hipow-ratsimp

answer: x^3+3*x^2+x+1...

hipow(answer,x);

ratsimp(answer);

Calculate

hipow-is-subst

answer: z^2+1=0;

hipow(answer,z);

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

Calculate

hipow-limit-num

hipow(num(limit((x^3-...

Calculate

hipow-is-lopow

eq:x*4;

is(lopow(eq,x)=1);

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

Calculate