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monotonically_increasing_function [2014/02/17 20:34]
nikolaj
monotonically_increasing_function [2014/03/21 11:11] (current)
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 ===== Monotonically increasing function ===== ===== Monotonically increasing function =====
 ==== Function ==== ==== Function ====
-| @#88DDEE: $ X,Y $ | +| @#55CCEE: context ​    | @#55CCEE: $ X,Y $ | 
-| @#88DDEE: $ \le_X,\le_Y $ ... non-strict partial order |+| @#55CCEE: context ​    | @#55CCEE: $ \le_X,\le_Y $ ... non-strict partial order |
  
-| @#FFBB00: $ f\in\mathrm{it} $ |+| @#FFBB00: definiendum ​| @#FFBB00: $ f\in\mathrm{it} $ |
  
-| @#AAFFAA: $f:X\to Y$ |+| @#AAFFAA: inclusion ​  | @#AAFFAA: $f:X\to Y$ |
  
-| @#FFFDDD: $x,y\in X$ |+| @#FFFDDD: for all     | @#FFFDDD: $x,y\in X$ |
  
-| @#55EE55: $ x\le_X y \implies f(x)\le_Y f(y) $ |+| @#55EE55: postulate ​  | @#55EE55: $ x\le_X y \implies f(x)\le_Y f(y) $ |
  
 ==== Discussion ==== ==== Discussion ====
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