## Encyclopedia of Physical Science and Technology, Volume 2Academic Press, 1992 - Physical sciences |

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Page 580

EXAMPLE. Let B be a

by *, the greatest lower bound by x , and the complement by ~", we have for x, y e

(a], ...

EXAMPLE. Let B be a

**Boolean algebra**and a G B, a + 0. The ideal (a] is a**Boolean algebra**(not a subalgebra!) in which, if we denote the least upper boundby *, the greatest lower bound by x , and the complement by ~", we have for x, y e

(a], ...

Page 583

For example, is complete, as is the

topological space. Here one must be careful, for if S is a family of regular open

sets, DS may not be regular open. It can be shown that II 5 = INT(nS) and 2 5 ...

For example, is complete, as is the

**Boolean algebra**of regular open sets of atopological space. Here one must be careful, for if S is a family of regular open

sets, DS may not be regular open. It can be shown that II 5 = INT(nS) and 2 5 ...

Page 585

There are several such methods. The Veitch-Karnaugh and Quine methods are

examples. [See CIRCUIT THEORY.] C. Other Applications

especially with additional operations, have applications to nonclassical TABLE IV

.

There are several such methods. The Veitch-Karnaugh and Quine methods are

examples. [See CIRCUIT THEORY.] C. Other Applications

**Boolean algebras**,especially with additional operations, have applications to nonclassical TABLE IV

.

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### Contents

Guide to Using the Encyclopedia ix Atomic Physics | 339 |

Approximations and Expansions 1 Atomic Spectrometry | 357 |

Archaeological Geology 31 Atomic Spectroscopy | 381 |

Copyright | |

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