combine/power - Maple Programming Help

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combine/power

combine terms with powers

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

combine(f, power, symbolic)

Parameters

f

-

any expression

symbolic

-

(optional) literal name; allow formal symbolic manipulation of expressions

Description

• 

Expressions involving powers are combined by applying the following transformations:

xyxzxy+z

xyzxyz

ⅇxⅇyⅇx+y

ⅇxyⅇxy

aIa

anbnabn

  

for arbitrary x, y, z, integers  a,b>1 , and rational n, when those transformations are valid.

• 

If you specify the symbolic option, Maple performs formal symbolic manipulation of the expression f without regard to the analytical issue of branches for multi-valued functions.

• 

Note: The sqrt command automatically applies a set of simplifications and normalizations that are not applied automatically by ^(1/2), thus the latter requires the use of combine.

Examples

combinex3xm3,power

xm

(1)

combine3nm3n,power

3nm3n

(2)

assumem,integer

combine3nm3n,power

3m~n+n

(3)

combineⅇx7ⅇy,power

ⅇ7x+y

(4)

combine212312,power

6

(5)

412

4

(6)

combine412,power

I4

(7)

combine212312,power

I6

(8)

See Also

Arithmetic Operators

assume

combine

integer

type/integer

type/rational

 


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