function space

Noun

Meaning

function space (plural function spaces)

(mathematics) Any metric space whose elements are functions

Examples

In fact, besides integrable functions, the Laplace transform is a one-to-one mapping from one function space into another in many other function spaces as well, although there is usually no easy characterization of the range. Source: Internet

Roughly speaking, the semigroup approach is to regard a time-dependent partial differential equation as an ordinary differential equation on a function space. Source: Internet

Equivalently, it is a function space whose elements are functions from the natural numbers to the field K, where K is either the field of real numbers or the field of complex numbers. Source: Internet

Some convention organizers allotted hotel function space late at night for filkers, or filking occurred in hallways, bars or any other place that the filkers could find. Source: Internet

Specifically, the set of F-valued sequences (where F is a field ) is a function space (in fact, a product space ) of F-valued functions over the set of natural numbers. Source: Internet

Test function space The space D(U) of test functions on U is defined as follows. Source: Internet

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