Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Simple_function> ?p ?o. }
Showing items 1 to 28 of
28
with 100 items per page.
- Simple_function abstract "In the mathematical field of real analysis, a simple function is a real-valued function over a subset of the real line, similar to a step function. Simple functions are sufficiently 'nice' that using them makes mathematical reasoning, theory, and proof easier. For example simple functions attain only a finite number of values. Some authors also require simple functions to be measurable; as used in practice, they invariably are.A basic example of a simple function is the floor function over the half-open interval [1,9), whose only values are {1,2,3,4,5,6,7,8}. A more advanced example is the Dirichlet function over the real line, which takes the value 1 if x is rational and 0 otherwise. (Thus the "simple" of "simple function" has a technical meaning somewhat at odds with common language.) Note also that all step functions are simple.Simple functions are used as a first stage in the development of theories of integration, such as the Lebesgue integral, because it is very easy to create a definition of an integral for a simple function, and also, it is straightforward to approximate more general functions by sequences of simple functions.".
- Simple_function wikiPageID "1890594".
- Simple_function wikiPageRevisionID "591522916".
- Simple_function hasPhotoCollection Simple_function.
- Simple_function subject Category:Measure_theory.
- Simple_function subject Category:Real_analysis.
- Simple_function subject Category:Types_of_functions.
- Simple_function comment "In the mathematical field of real analysis, a simple function is a real-valued function over a subset of the real line, similar to a step function. Simple functions are sufficiently 'nice' that using them makes mathematical reasoning, theory, and proof easier. For example simple functions attain only a finite number of values.".
- Simple_function label "Einfache Funktion".
- Simple_function label "Fonction étagée".
- Simple_function label "Funkcja prosta".
- Simple_function label "Funzione semplice".
- Simple_function label "Função simples".
- Simple_function label "Simple function".
- Simple_function label "Простая функция".
- Simple_function label "単関数".
- Simple_function label "简单函数".
- Simple_function sameAs Einfache_Funktion.
- Simple_function sameAs Fonction_étagée.
- Simple_function sameAs Funzione_semplice.
- Simple_function sameAs 単関数.
- Simple_function sameAs Funkcja_prosta.
- Simple_function sameAs Função_simples.
- Simple_function sameAs m.0642mv.
- Simple_function sameAs Q913022.
- Simple_function sameAs Q913022.
- Simple_function wasDerivedFrom Simple_function?oldid=591522916.
- Simple_function isPrimaryTopicOf Simple_function.