PlanetMath: left function notation

(more info)

Math for the people, by the people.

Main Menu

sections Encyclopædia
Papers
Books
Expositions

meta Requests (198)
Orphanage
Unclass'd
Unproven (490)
Corrections (7)
Classification

talkback Polls
Forums
Feedback
Bug Reports

downloads Snapshots
PM Book

information News
Docs
Wiki
ChangeLog
TODO List
Legalese
About

Entry average rating: No information on entry rating

left function notation

(Definition)

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

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

Compare this to right function notation.

"left function notation" is owned by antizeus.

(view preamble)

Other names:

left notation

Log in to rate this entry.
(view current ratings)

Cross-references: right function notation, composition, image, arguments, functions
There are 3 references to this entry.

This is version 2 of left function notation, born on 2002-01-05, modified 2004-05-01.
Object id is 1349, canonical name is LeftFunctionNotation.
Accessed 4661 times total.

Classification:

AMS MSC:

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

Pending Errata and Addenda

None.[ View all 3 ]

Discussion

forum policy

Interact