type/freeof - Maple Help

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type/freeof

check for mathematical independence

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

type(f, freeof(x))

Parameters

f

-

expression or list or set of expressions

x

-

name or list or set of names

Description

• 

Returns true if all of the expressions in f are mathematically independent of all the names contained in x.

• 

The definition of mathematical dependence is that used by depends. For more information, see depends.

Examples

typex,freeofx,y

false

(1)

typea,b,freeofc,d

true

(2)

typexy,identicalxfreeofx

true

(3)

type∫abfxⅆx,freeofx

true

(4)

type∫abfxⅆx,freeofa

false

(5)

See Also

depends

type

type[dependent]

 


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