Difference between revisions of "Simple"

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Main form: ''simple'', [[word type::adjective]]
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Main form: ''simple'', [[word type::adjective]]. Used both descriptively (adding detail) and restrictively (restricting the subject). In sciences, typically used in a binary sense (something is either simple or is not simple), whereas in the social sciences and daily parlance, typically used to describe position on a wider scale.
  
 
Related forms: ''simplicity'' (whether or not something is simple, extent to which something is simple)
 
Related forms: ''simplicity'' (whether or not something is simple, extent to which something is simple)
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Typical use:
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* Easy to handle, basic, lacking in complexity. Similar words: [[Similar::easy]], [[Similar::basic]]
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* Something that cannot be decomposed, reduced or broken up. Similar words: [[Similar::indecomposable]], [[Similar::irreducible]].
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* Honest, open and straightforward, not deceitful, designing, or guileful. Similar words: [[Similar::straightforward]]
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Opposite words: [[Opposite::compound]], [[Opposite::complex]], [[Opposite::convoluted]], [[Opposite:decomposable]], [[Opposite::reducible]].
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Derived words: [[Derived::semisimple]], [[Derived::quasisimple]], [[Derived::pseudosimple]].
  
 
==Mathematics==
 
==Mathematics==
  
 
{{:Simple (mathematics)}}
 
{{:Simple (mathematics)}}

Revision as of 17:25, 20 January 2009

Main form: simple, adjective. Used both descriptively (adding detail) and restrictively (restricting the subject). In sciences, typically used in a binary sense (something is either simple or is not simple), whereas in the social sciences and daily parlance, typically used to describe position on a wider scale.

Related forms: simplicity (whether or not something is simple, extent to which something is simple)

Typical use:

  • Easy to handle, basic, lacking in complexity. Similar words: easy, basic
  • Something that cannot be decomposed, reduced or broken up. Similar words: indecomposable, irreducible.
  • Honest, open and straightforward, not deceitful, designing, or guileful. Similar words: straightforward

Opposite words: compound, complex, convoluted, Opposite:decomposable, reducible.

Derived words: semisimple, quasisimple, pseudosimple.

Mathematics

In group theory

Simple group: A nontrivial group that has only two normal subgroups: the whole group and the trivial subgroup.

Related terms: Almost simple group, quasisimple group, characteristically simple group, simple algebraic group

Term variations: Groupprops:Category:Variations of simplicity

Primary subject wiki entry: Groupprops:Simple group

Also located at: Wikipedia:Simple group, Mathworld:SimpleGroup, Springer Online Reference Works

In noncommutative ring theory

Simple ring: A nonzero unital ring in which the only two-sided ideals are the whole ring and the zero ideal.

Primary subject wiki entry: Noncommutative:Simple ring

In topology

Simple space: A path-connected space with Abelian fundamental group whose induced action on all higher homotopy groups is trivial.

Primary subject wiki entry: Topospaces:Simple space

In measure theory

Simple function: A real-valued or complex-valued function on a measure space that is expressible as a finite linear combination of indicator functions of measurable subsets.

Primary subject wiki entry: Measure:Simple function

Also located at: Wikipedia:Simple function