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functional

(Definition)

A functional

in to a field of scalars

, typically taken to be $\mathbb{R}$ or $\mathbb{C}$ .

Examples of functionals include the integral and entropy. A functional

is often indicated by the use of square brackets,

rather than

The linear functionals are those functionals that satisfy

for any $c\in K$ , $x,y\in V$ .

"functional" is owned by mathcam. [ full author list (2) | owner history (1) ]

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Also defines:

linear functional

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Cross-references: entropy, integral, scalars, field, vector space, function space, mapping, function
There are 39 references to this entry.

This is version 6 of functional, born on 2002-02-26, modified 2005-03-18.
Object id is 2722, canonical name is Functional.
Accessed 9366 times total.

Classification:

03E20 (Mathematical logic and foundations :: Set theory :: Other classical set theory )

Pending Errata and Addenda

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