Pattern formation - Revision history

en>BD2412: /* Computer graphics */ author

2014-09-23T14:32:37Z

Computer graphics: author

← Older revision		Revision as of 16:32, 23 September 2014
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	~~{{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}}~~

en>Monkbot: /* Biology */Fix CS1 deprecated date parameter errors

2014-01-28T06:08:30Z

Biology: Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 08:08, 28 January 2014
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	~~Alyson~~ is the ~~name individuals use~~ to ~~contact me and I believe it seems quite great when you say it~~. ~~Invoicing is my profession~~. ~~To perform lacross~~ is ~~the factor I adore most of all. Alaska~~ is ~~where I~~'~~ve always been living.~~<br><br>~~Visit my weblog~~: [~~http~~:~~//help.ksu.edu.sa/node/65129 telephone psychic~~]		{{Unreferenced\|date=December 2009}}
			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}}

en>Chiswick Chap: /* Examples */ see also

2012-06-05T04:59:42Z

Examples: see also

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Alyson is the name individuals use to contact me and I believe it seems quite great when you say it. Invoicing is my profession. To perform lacross is the factor I adore most of all. Alaska is where I've always been living.<br><br>Visit my weblog: [http://help.ksu.edu.sa/node/65129 telephone psychic]