Differences
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right-continuous_function [2013/09/07 22:42] nikolaj created |
right-continuous_function [2013/09/19 11:10] nikolaj |
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| | @#88DDEE: $p\in\mathbb N$ | | | @#88DDEE: $p\in\mathbb N$ | | ||
| - | | @#FFBB00: $f\in\mathrm{RightContinous}(\mathbb R^p,\mathbb R) $ | | + | | @#FFBB00: $f\in\mathrm{RightContinuous}(\mathbb R^p,\mathbb R) $ | |
| | @#55EE55: $f:\mathbb R^p\to\mathbb R$ | | | @#55EE55: $f:\mathbb R^p\to\mathbb R$ | | ||
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| | $y\in\mathbb R^p$ | | | $y\in\mathbb R^p$ | | ||
| - | | @#55EE55: $\forall\varepsilon.\ \exists \delta.\ \forall x.\ (x\ge y\ \land\ \Vert x-y \Vert < \delta) \implies |f(x)-f(y)|<\varepsilon$ | | + | | @#55EE55: $\forall y.\ \forall\varepsilon.\ \exists \delta.\ \forall x.\ (x\ge y\ \land\ \Vert x-y \Vert < \delta) \implies |f(x)-f(y)|<\varepsilon$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
