Vanish at infinity
http://dbpedia.org/resource/Vanish_at_infinity
In der Mathematik ist eine -Funktion eine stetige Funktion, die anschaulich betrachtet im Unendlichen verschwindet. Die Menge aller -Funktionen bildet einen normierten Raum.
rdf:langString
In mathematics, a function is said to vanish at infinity if its values approach 0 as the input grows without bounds. There are two different ways to define this with one definition applying to functions defined on normed vector spaces and the other applying to functions defined on locally compact spaces. Aside from this difference, both of these notions correspond to the intuitive notion of adding a point at infinity, and requiring the values of the function to get arbitrarily close to zero as one approaches it. This definition can be formalized in many cases by adding an (actual) point at infinity.
rdf:langString
在數學中，若一個賦範向量空間上的函數滿足 當 時， 則稱該函數在無窮遠處消失。 例如，下面這個定義在實數線上的函數 在無窮遠處消失。 另一個例子是 其中 與 為實數，且對應到 上的 這一個點。
rdf:langString
rdf:langString
C0-Funktion
rdf:langString
Vanish at infinity
rdf:langString
在無窮遠處消失
xsd:integer
461986
xsd:integer
1083869630
rdf:langString
In der Mathematik ist eine -Funktion eine stetige Funktion, die anschaulich betrachtet im Unendlichen verschwindet. Die Menge aller -Funktionen bildet einen normierten Raum.
rdf:langString
In mathematics, a function is said to vanish at infinity if its values approach 0 as the input grows without bounds. There are two different ways to define this with one definition applying to functions defined on normed vector spaces and the other applying to functions defined on locally compact spaces. Aside from this difference, both of these notions correspond to the intuitive notion of adding a point at infinity, and requiring the values of the function to get arbitrarily close to zero as one approaches it. This definition can be formalized in many cases by adding an (actual) point at infinity.
rdf:langString
在數學中，若一個賦範向量空間上的函數滿足 當 時， 則稱該函數在無窮遠處消失。 例如，下面這個定義在實數線上的函數 在無窮遠處消失。 另一個例子是 其中 與 為實數，且對應到 上的 這一個點。
xsd:nonNegativeInteger
4590