## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

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Page 270

symmetric laws, considered as postulates used to

poset. Conversely, a lattice can be

having two commutative, associative, idempotent, and contractive operations.

symmetric laws, considered as postulates used to

**define**the abstract concept of aposet. Conversely, a lattice can be

**defined**as an algebraic system, or algebra,having two commutative, associative, idempotent, and contractive operations.

Page 273

This can also be constructed from the Mobius function of G(Q), a function that can

be

combinatorial questions. OTHER LATTICE-ORDERED STRUCTURES Relation ...

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 andcombinatorial questions. OTHER LATTICE-ORDERED STRUCTURES Relation ...

Page 444

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

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, ...),...### What people are saying - Write a review

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