Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Bounded_function> ?p ?o. }
Showing items 1 to 26 of
26
with 100 items per page.
- Bounded_function abstract "In mathematics, a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded. In other words, there exists a real number M such that for all x in X. A function that is not bounded is said to be unbounded.Sometimes, if f(x) ≤ A for all x in X, then the function is said to be bounded above by A. On the other hand, if f(x) ≥ B for all x in X, then the function is said to be bounded below by B.The concept should not be confused with that of a bounded operator.An important special case is a bounded sequence, where X is taken to be the set N of natural numbers. Thus a sequence f = (a0, a1, a2, ...) is bounded if there exists a real number M such thatfor every natural number n. The set of all bounded sequences, equipped with a vector space structure, forms a sequence space.This definition can be extended to functions taking values in a metric space Y. Such a function f defined on some set X is called bounded if for some a in Y there exists a real number M such that its distance function d ("distance") is less than M, i.e. for all x in X. If this is the case, there is also such an M for each other a, by the triangle inequality.".
- Bounded_function thumbnail Bounded_and_unbounded_functions.svg?width=300.
- Bounded_function wikiPageID "311509".
- Bounded_function wikiPageRevisionID "598987427".
- Bounded_function hasPhotoCollection Bounded_function.
- Bounded_function subject Category:Complex_analysis.
- Bounded_function subject Category:Real_analysis.
- Bounded_function subject Category:Types_of_functions.
- Bounded_function comment "In mathematics, a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded. In other words, there exists a real number M such that for all x in X. A function that is not bounded is said to be unbounded.Sometimes, if f(x) ≤ A for all x in X, then the function is said to be bounded above by A.".
- Bounded_function label "Bounded function".
- Bounded_function label "Funkcja ograniczona".
- Bounded_function label "Funzione limitata".
- Bounded_function label "Função limitada".
- Bounded_function label "有界函数".
- Bounded_function label "有界函数".
- Bounded_function sameAs Omezená_funkce.
- Bounded_function sameAs Funzione_limitata.
- Bounded_function sameAs 有界函数.
- Bounded_function sameAs Funkcja_ograniczona.
- Bounded_function sameAs Função_limitada.
- Bounded_function sameAs m.01t7lx.
- Bounded_function sameAs Q2267362.
- Bounded_function sameAs Q2267362.
- Bounded_function wasDerivedFrom Bounded_function?oldid=598987427.
- Bounded_function depiction Bounded_and_unbounded_functions.svg.
- Bounded_function isPrimaryTopicOf Bounded_function.
