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negative_part_of_a_function [2013/08/18 20:04]
nikolaj created
negative_part_of_a_function [2014/03/21 11:11] (current)
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 ===== Negative part of a function ===== ===== Negative part of a function =====
-==== Definition ​==== +==== Set ==== 
-| @#88DDEE: $f:​X\to ​Y$ | @#88DDEE: $(Y\subseteq ​\overline{\mathbb R})\land (0\in Y) $ | +| @#55CCEE: context ​    | @#55CCEE: $f:X\to \overline{\mathbb R}$ |
  
-| @#55EE55: $ f^- $ |+| @#FFBB00: definiendum | @#FFBB00: $f^-:X\to \overline{\mathbb R}$ | 
 +| @#FFBB00: definiendum | @#FFBB00: $ f^-(x) := \mathrm{max}(-f(x),​0)$ |
  
-| @#88DDEE: $ f^-:X\to Y$ | +==== Discussion ​====
- +
-| @#55EE55: $ f^-(x) :\mathrm{max}(-f(x),​0)$ | +
- +
-==== Ramifications ==== +
-=== Discussion ​===+
 Notice that $f^-(x)\ge 0$. Notice that $f^-(x)\ge 0$.
-==== Context ​==== +==== Parents ​==== 
-=== Parents ​===+=== Context ​===
 [[Maximum function]], [[Extended real number line]] [[Maximum function]], [[Extended real number line]]
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