Pattern formation: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>Monkbot
en>BD2412
 
Line 1: Line 1:
{{Unreferenced|date=December 2009}}
Hi there. My title is Sophia Meagher even though it is not the title on my birth certificate. Mississippi is where her house is but her spouse desires them to move. Invoicing is what I do for a living but I've always needed my own business. To play lacross is the thing I love most of all.<br><br>Review my web-site :: clairvoyants [[http://ltreme.com/index.php?do=/profile-127790/info/ cool training]]
In [[set theory]], a '''projection''' is one of two closely related types of [[function (mathematics)|function]]s or operations, namely:
 
* A [[set theory|set-theoretic]] operation typified by the ''j''<sup>th</sup> projection map, written <math>\mathrm{proj}_{j}\!</math>, that takes an element <math>\vec{x} = (x_1,\ \ldots,\ x_j,\ \ldots,\ x_k)</math> of the [[Cartesian product]] <math>(X_1 \times \cdots \times X_j \times \cdots \times X_k)</math> to the value <math>\mathrm{proj}_{j}(\vec{x}) = x_j</math>.
 
* A function that sends an element ''x'' to its [[equivalence class]] under a specified [[equivalence relation]] ''E''.  The result of the mapping is written as [''x''] when ''E'' is understood, or written as [''x'']<sub>''E''</sub> when it is necessary to make ''E'' explicit.
 
==See also==
* [[Cartesian product]]
* [[Projection (relational algebra)]]
* [[Projection (mathematics)]]
* [[Relation (mathematics)|Relation]]
 
{{DEFAULTSORT:Projection (Set Theory)}}
[[Category:Basic concepts in set theory]]
{{settheory-stub}}

Latest revision as of 16:32, 23 September 2014

Hi there. My title is Sophia Meagher even though it is not the title on my birth certificate. Mississippi is where her house is but her spouse desires them to move. Invoicing is what I do for a living but I've always needed my own business. To play lacross is the thing I love most of all.

Review my web-site :: clairvoyants [cool training]

Retrieved from "https://en.formulasearchengine.com/index.php?title=Pattern_formation&oldid=246416"