imported>Red Act: /* Mathematics and logic */ Add Interior product meaning of contraction.

2025-06-22T23:29:32Z

Mathematics and logic: Add Interior product meaning of contraction.

← Previous revision		Revision as of 23:29, 22 June 2025
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	* [[Edge contraction]] or vertex contraction, graph operations used in graph theory		* [[Edge contraction]] or vertex contraction, graph operations used in graph theory
	* [[Tensor contraction]], an operation on one or more tensors that arises from the natural pairing of a finite-dimensional vector space and its dual		* [[Tensor contraction]], an operation on one or more tensors that arises from the natural pairing of a finite-dimensional vector space and its dual
			* [[Interior product]], a tensor contraction specifically of a differential form with a vector field
	* [[Geometric algebra#Extensions of the inner and exterior products\|Left contraction and right contraction]] of multivectors in a geometric algebra, extensions of the inner product		* [[Geometric algebra#Extensions of the inner and exterior products\|Left contraction and right contraction]] of multivectors in a geometric algebra, extensions of the inner product
	* One of the rules of [[Conditional independence#Rules of conditional independence\|conditional independence]], in probability		* One of the rules of [[Conditional independence#Rules of conditional independence\|conditional independence]], in probability

imported>Red Act: /* Mathematics and logic */ Add the "left contraction" and "right contraction" meanings in geometric algebra.

2022-07-22T11:57:39Z

Mathematics and logic: Add the "left contraction" and "right contraction" meanings in geometric algebra.

New page

{{wiktionary|contraction|contracted}}
'''Contraction''' may refer to:
{{TOC right}}

== Linguistics ==
* [[Contraction (grammar)]], a shortened word
* [[Poetic contraction]], omission of letters for poetic reasons
* [[Elision]], omission of sounds
** [[Syncope (phonology)]], omission of sounds in a word
* [[Synalepha]], merged syllables
** [[Synaeresis]], combined vowels
** [[Crasis]], merged vowels or diphthongs

== Mathematics and logic ==
* [[Contraction (operator theory)]], in operator theory, state of a bounded operator between normed vector spaces after suitable scaling
* [[Contraction hierarchies]], in applied mathematics, a technique to speed up shortest-path routing
* [[Contraction mapping]], a type of function on a metric space
* [[Edge contraction]] or vertex contraction, graph operations used in graph theory
* [[Tensor contraction]], an operation on one or more tensors that arises from the natural pairing of a finite-dimensional vector space and its dual
* [[Geometric algebra#Extensions of the inner and exterior products|Left contraction and right contraction]] of multivectors in a geometric algebra, extensions of the inner product
* One of the rules of [[Conditional independence#Rules of conditional independence|conditional independence]], in probability
* [[Contraction (logic)]], a structural rule in proof theory

== Medicine ==
*[[Muscle contraction]], the physiological condition of a muscle which generates tension (traction) at its origin and insertion
** [[Uterine contraction]], contraction of the uterus, such as during childbirth
*[[Contractility]], the intrinsic ability of the heart/myocardium to contract
* [[Wound contraction]], a stage in wound healing

== Other uses ==
* [[Contraction (economics)]], a general slowdown in economic activity; the opposite of economic expansion
* [[Contraction (physics)]], change in the volume of matter in response to a change in temperature
* [[Lanthanide contraction]], the decrease in size of the ionic radius of lanthanide elements with their growing atomic number
* [[Contracted (film)|''Contracted'' (film)]], a 2013 horror thriller film by Eric England and its sequel ''[[Contracted: Phase II]]'' (2015) which directed by Josh Forbes

== See also ==
* [[Contract (disambiguation)]]
* [[Contraction principle (disambiguation)]]

{{disambiguation}}

Contraction - Revision history

imported>Red Act: /* Mathematics and logic */ Add Interior product meaning of contraction.

imported>Red Act: /* Mathematics and logic */ Add the "left contraction" and "right contraction" meanings in geometric algebra.