Hardy's paradox: Difference between revisions

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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>
 
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.
 
==See also==
* [[Pointwise#Pointwise_relations]]
 
==References==
{{Reflist}}
 
[[Category:Inequalities]]
 
 
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Revision as of 06:49, 15 January 2014

Template:Orphan

In mathematics, a componentwise inequality is an expression of the form:

x,ynxyxiyii=1,,n[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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