Compact

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Related to Compact space: Compact set, Connected space

Compact

An agreement, treaty, or contract.

The term compact is most often applied to agreements among states or between nations on matters in which they have a common concern.

The Constitution contains the Compact Clause, which prohibits one state from entering into a compact with another state without the consent of Congress.

COMPACT, contracts. In its more general sense, it signifies an agreement. In its strict sense, it imports a contract between parties, which creates obligations and rights capable of being enforced, and contemplated as such between the parties, in their distinct and independent characters. Story, Const. B. 3, c. 3; Rutherf. Inst. B. 2, c. 6, Sec. 1. 2. The constitution of the United States declares that "no state shall, without the consent of congress, enter into agreement or compact with another state, or with a foreign power." See 11 Pet: 1; 8 Wheat. 1 Bald. R. 60; 11 Pet. 185.

References in periodicals archive ?
By Proposition 6, X is a [k.sub.[omega]]-space (a compact space or a metrizable compact space, resp.) and [h.sup.*] : [C.sub.k](Y) [right arrow] [C.sub.k](X) is a quotient compact-covering map.
Caption: Medical Developments International's Compact Space Chamber line includes four sizes.
In this section, we introduce a new class of intuitionistic fuzzy topological spaces called weakly generalized compact spaces, almost weakly generalized compact spaces using intuitionistic fuzzy weakly generalized open sets and nearly weakly generalized compact spaces using intuitionistic fuzzy weakly generalized closed sets and study some of their properties.
The classical result [5, Corollary 19.7.7] says that if [OMEGA] is a scattered compact space (i.e., every nonempty closed subset of [OMEGA] has an isolated point), then M([OMEGA]) consists of atomic measures only; that is, M([OMEGA]) is order-isometric to [l.sub.1]([OMEGA]).
Also, it was proved in [17] that for a compact space X the real space [C.sub.p](X, R) is K-analytic iff C(X, R) is weakly K-analytic.
The director of the BBC's London 2012 coverage, Roger Mosey, said: "The compact space of a boxing ring gives a real wow factor.
The authors analyze the Russakovskii-Shiffman measure for intersections of graphs, define the Farey blow-up, compute the cohomology of the smooth part of the Farey blow-up, and construct a compact space X on which the Newton map operates.
Molex introduced a series of microSD memory card connectors that offer compact space savings and a brake feature for smooth card extraction.
Such building development, while doubtless generating increased council tax revenues for Wirral Council, will also likely create a "ticking time bomb", as more and more young people move into a very compact space.
This month sees an exhibition from various artists with very different styles, crammed into a compact space.
"I immediately felt at home in my compact space," she says.

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