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right function notation (Definition)

We are said to be using right function notation if we write functions to the right of their arguments. That is, if $ \alpha : X \to Y$ is a function and $ x \in X$, then $ x \alpha$ is the image of $ x$ under $ \alpha$.

Furthermore, if we have a function $ \beta : Y \to Z$, then we write the composition of the two functions as $ \alpha \beta : X \to Z$, and the image of $ x$ under the composition as $ x \alpha \beta = x (\alpha \beta) = (x \alpha) \beta$.

Compare this to left function notation.



"right function notation" is owned by antizeus.
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Other names:  right notation
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Cross-references: left function notation, composition, image, arguments, right, functions
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This is version 2 of right function notation, born on 2002-01-05, modified 2004-05-01.
Object id is 1351, canonical name is RightFunctionNotation.
Accessed 6432 times total.

Classification:
AMS MSC: 03E20 (Mathematical logic and foundations :: Set theory :: Other classical set theory )
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