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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-is

hipow(x=1,x);

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

is(hipow("x=1",x)=1 a...

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hipow-is-lopow

eq:x*4;

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

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

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hipow-is-length-reveal-split-sqrt-string

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

hipow(answer,x);

length(split(string(a...

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hipow-taylor

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

n:hipow(p,x);

taylor(p,x,a,n);

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hipow-is-length-split-sqrt-string

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

hipow(answer,x);

length(split(string(a...

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hipow-listp-part-reveal

hh: [x=2,y=4];

listp(hh);

is(hipow(hh[1],x)=0);

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hipow

hipow(x/y,y);

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hipow-listp-part-reveal

hh: [x=2,y=4];

listp(hh);

is(hipow(hh[1],x)=0);

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hipow

eq: x^a+b;

hipow(eq,x);

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hipow-is-length-split-sqrt-string

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

hipow(answer,x);

length(split(string(a...

Calculate