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monotonically_increasing_function [2014/02/13 16:13]
127.0.0.1 external edit
monotonically_increasing_function [2014/02/17 20:34]
nikolaj
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 ===== Monotonically increasing function ===== ===== Monotonically increasing function =====
-==== Set ==== +==== Function ​==== 
-| @#88DDEE: $X,Y$ | +| @#88DDEE: $ X,Y $ | 
-| @#88DDEE: $ \le_X,\le_Y $ ...non-strict partial order |+| @#88DDEE: $ \le_X,\le_Y $ ... non-strict partial order |
  
 | @#FFBB00: $ f\in\mathrm{it} $ | | @#FFBB00: $ f\in\mathrm{it} $ |
  
-| @#55EE55: $f:X\to Y$ |+| @#AAFFAA: $f:X\to Y$ |
  
-| $x,y\in X$ |+@#​FFFDDD: ​$x,y\in X$ |
  
 | @#55EE55: $ x\le_X y \implies f(x)\le_Y f(y) $ | | @#55EE55: $ x\le_X y \implies f(x)\le_Y f(y) $ |
  
 ==== Discussion ==== ==== Discussion ====
-=== Reference === 
-Wikipedia: [[http://​en.wikipedia.org/​wiki/​Monotone_function|Monotone function]] 
 ==== Parents ==== ==== Parents ====
-=== Refinement ​of ===+=== Subset ​of ===
 [[Function]] [[Function]]
 === Context === === Context ===
 [[Non-strict partial order]] [[Non-strict partial order]]
 +=== Related ===
 +[[Monotonically decreasing function]]
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