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right-continuous_function [2013/09/07 22:42]
nikolaj created
right-continuous_function [2014/03/21 11:11] (current)
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 ===== Right-continuous function ===== ===== Right-continuous function =====
-==== Definition ​==== +==== Set ==== 
-| @#88DDEE: $p\in\mathbb N$ |+| @#55CCEE: context ​    | @#55CCEE: $p\in\mathbb N$ |
  
-| @#FFBB00: $f\in\mathrm{RightContinous}(\mathbb R^p,\mathbb R) $ |+| @#FFBB00: definiendum ​| @#FFBB00: $f\in\mathrm{RightContinuous}(\mathbb R^p,\mathbb R) $ |
  
-| @#55EE55: $f:\mathbb R^p\to\mathbb R$ | +| @#55EE55: postulate ​  | @#55EE55: $f:\mathbb R^p\to\mathbb R$ | 
  
-| @#DDDDDD: $\varepsilon,​\delta\in \mathbb R_+^*$ |+| @#DDDDDD: range       | @#DDDDDD: $\varepsilon,​\delta\in \mathbb R_+^*$ |
 | $y\in\mathbb R^p$ |  | $y\in\mathbb R^p$ | 
  
-| @#55EE55: $\forall\varepsilon.\ \exists \delta.\ \forall x.\ (x\ge y\ \land\ \Vert x-y \Vert < \delta) \implies |f(x)-f(y)|<​\varepsilon$ | +| @#55EE55: postulate ​  | @#55EE55: $\forall y.\ \forall\varepsilon.\ \exists \delta.\ \forall x.\ (x\ge y\ \land\ \Vert x-y \Vert < \delta) \implies |f(x)-f(y)|<​\varepsilon$ | 
  
 ==== Discussion ==== ==== Discussion ====
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 === Subset of === === Subset of ===
 [[Continuous function]] [[Continuous function]]
-=== Context ​===+=== Related ​===
 [[Real coordinate space]], [[Norm]] [[Real coordinate space]], [[Norm]]
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