Function Space

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function space

[′fəŋk·shən ‚spās]
(mathematics)
A metric space whose elements are functions.

Function Space

 

a set of functions for which there is defined a notion of distance or, more generally, of proximity between any two functions. A function space is called linear if, along with any two elements f1 and f2 it contains all their linear combinations αf1, + βf2, where α and β are real or complex numbers. An example of a linear function space is the space C(a, b) of all continuous functions on the interval [a, b] with the distance p(f1, f2) between two functions being given by the formula

Function spaces are the most important concrete linear spaces studied in functional analysis. [28–388–1 ]

References in periodicals archive ?
A council report says: "The Rondel House building has recently been refurbished and offers a pleasant and functional space for over 40 people per day.
According to a statement, the project took 12 weeks to finalise and was designed to allow for an open and functional space, with sufficient room for equipment and patients.
UPSTAIRS RECEPTION AND LIVING ACCOMMODATION To the first floor there is a 27 ft open plan kitchen/dining space, which is a bright and functional space sure to be the centrepiece of daily family life.
Their task was to create a modern and functional space, while respecting the memorial protection of the historic buildings.
"We now hold the first rank in space science production in region, but when it comes to functional space technology, we need transformation and change; this is because space science can provide job opportunities as well," Barari said.
Caption: Oberfields LLC of Delaware, Ohio, was awarded for its clever use of 800 square feet of retaining blocks to transform a steep, unusable front yard into an aesthetically pleasing functional space. The company used the Kodah line--large retaining blocks imitating snapped limestone--to create terraces at the various abrupt slopes.
"We want them to live in a functional space that has a higher level of warmth and comfort of their own homes.
"Rather than focus on the total amount of functional space filled, it is more useful to study how communities will move through that functional space and how different trait distributions will change underlying ecosystem function."
Manual docking is seen as an essential skill to master if China is to fulfil its aims of building a fully functional space station.
The new facility gives New England Brace functional space to streamline production of custom prosthetic and orthotic manufacturing and better serve their valued patient clientele.
This really is a functional space saving home entertainment package and at only pounds 49.99 plus pounds 1.99 carriage represents excellent value.

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