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| | {{Orphan|date=October 2011}} |
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| | In [[mathematics]], a componentwise [[inequality (mathematics)|inequality]] is an expression of the form: |
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| | : <math>x,y \in \real^n \ x \preceq y \iff x_i \leq y_i \ \forall i=1,\ldots,n </math><ref>http://www.ee.ucla.edu/ee236a/lectures/lineqs.pdf</ref><ref>http://www.stanford.edu/class/ee364a/lectures/sets.pdf</ref><ref>http://www.ece.ucsb.edu/~roy/classnotes/271a/ECE271a_lecture3_small.pdf</ref> |
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| | The [[Euclidean vector|vector]]s do not have to be [[real number|real]], they can be from any space in which the inequality relation is defined. |
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| | ==See also== |
| | * [[Pointwise#Pointwise_relations]] |
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| | ==References== |
| | {{Reflist}} |
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| | [[Category:Inequalities]] |
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| | {{algebra-stub}} |
Revision as of 07:49, 15 January 2014
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In mathematics, a componentwise inequality is an expression of the form:
[1][2][3]
The vectors do not have to be real, they can be from any space in which the inequality relation is defined.
See also
References
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