type/indexedfun - Maple Programming Help

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type/indexedfun

for use with substitution

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

type(f, indexedfun(x))

Parameters

f

-

expression or list or set of expressions

x

-

name or list or set of names

Description

• 

Returns true if the expression f is an indexed function in the name(s) x, that is, if the input is a function and the variable(s) x are used as the index variable in a derivative, limit, integral, sum, product, and transform (for example, fourier and laplace). The purpose of this routine is to avoid substitution for x in an expression like diff(f(x), x) or int(f(x), x=a..b) where substitution of x=y2 would produce an erroneous expression, for example.

Examples

fⅆⅆxgx

f:=ⅆⅆxgx

(1)

typef,indexedfunx

true

(2)

typef,indexedfuny

false

(3)

f∫12gtⅆt

f:=∫12gtⅆt

(4)

typef,indexedfunt

true

(5)

flimx→∞1ⅇx

f:=1

(6)

typef,indexedfunx

false

(7)

See Also

function

indexed

type

type[indexed]

 


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