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symmetric laws, considered as postulates used to define the abstract concept of a
poset. Conversely, a lattice can be defined as an algebraic system, or algebra,
having two commutative, associative, idempotent, and contractive operations.
This can also be constructed from the Mobius function of G(Q), a function that can
be defined on any poset and that has many applications to number theory and
combinatorial questions. OTHER LATTICE-ORDERED STRUCTURES Relation ...
The clear exposition of these ideas from the modern point of view is due to Georg
Cantor (1871). Real numbers, including both rational and irrational numbers, are
defined by Cantor as infinite sequences, x = (xu x2, x3,...),y = (yu y2, y3, ...),...
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This is the 198215th Edition, in two halves, with the Macropaedia and the Micropaedia. First published in 1768, the publisher is the oldest English-language encyclopedia still in print. Two Scottish ... Read full review
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For virtually all its 238 years,Britannica has ruled the shelves as a peerless general encyclopedia. Reviewers have consistently given it high marks for most of the 12 criteria identified inKister's ... Read full review