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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-length-makelist

equ: ut-v*vx;

eqv: vt-ux*vxx;

eqlist: [[u,0,0,equ],...

Calculate

hipow-num-reveal-sqrt

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

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

Calculate

hipow-is

hipow("x=1",x);

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

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

Calculate

hipow-is-lopow

hipow(x=1,x);

lopow(x=1,x);

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

Calculate

hipow-resultant

eq1: x+x^1*y^3+a;

eq2: x^11+y^17+b;

r1: resultant(eq1,eq2...

Calculate

hipow-lopow-ratexpand

f: ratexpand((a*x+b)/...

hipow(f,x);

lopow(f,x);

Calculate

hipow-is-lopow

eq:x;

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

true and true;

Calculate

hipow-resultant

eq1: x+x^2*y^3+a;

eq2: x^11+y^17+b;

r1: resultant(eq1,eq2...

Calculate

hipow-is-subst

answer: z^2+1=0;

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

subst(%i,z,answer);

Calculate

hipow

hipow(x^2*3*(x^2+x),x);

Calculate