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lexicographic order
(redirected from Lexicographical order)

   Also found in: Wikipedia 0.02 sec.
lexicographic order [¦lek·sə·kō¦graf·ik ′ȯr·dər]
(mathematics)
Given setsAandBwith a common ordering <, one defines an ordering between all sequences (finite or infinite) of elements ofAand of elements ofBby (a1,a2,…) < (b1,b2,…) if eitherai=bifor everyi, oran<bn, wherenis the first place in which they differ; this is the way words are ordered in a dictionary.


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g], the vertex a comes before b in lexicographical order if the smallest representative of a in [0, 1] is smaller than any representative of b in [0, 1].
Using a lexicographical order, one can show that the resulting algebra is an integral domain [44].
 
 
 
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