compact

adj. pressed tightly together; fitted into a small space; dense; condensed; consolidated; concise

v. pack tightly together, condense; closely combine, consolidate; form, make up; contract together, form an agreement

n. pact, agreement; small folding cosmetic mirror; small car

In mathematics, a subset of Euclidean space Rn is called compact if it is closed and bounded. For example, in R, the closed unit interval [0, 1] is compact, but the set of integers Z is not (it is not bounded) and neither is the half-open interval [0, 1) (it is not closed).A more modern approach is to call a topological space compact if each of its open covers has a finite subcover. The Heine–Borel theorem shows that this definition is equivalent to "closed and bounded" for subsets of Euclidean space.Note: Some authors such as Bourbaki use the term "quasi-compact" instead and reserve the name "compact" for topological spaces that are Hausdorff and "quasi-compact". A single compact set is sometimes referred to as a compactum; following the Latin second declension (neuter), the corresponding plural form is compacta.
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Compact /com·pact/ dense; having a dense structure. compact, v to form by uniting or condensing particles with the application of pressure. [more]Compact - Community and Resources

Noun
1. a small cosmetics case with a mirror; to be carried in a woman's purse
(synonym) powder compact
(hypernym) case
2. a signed written agreement between two or more parties (nations) to perform some action
(synonym) covenant, concordat
(hypernym) written agreement
(hyponym) Lateran Treaty
3. a small and economical car
(synonym) compact car
(hypernym) car, auto, automobile, machine, motorcar
Verb
1. have the property of being packable or compactable or of compacting easily; "This powder compacts easily"; "Such odd-shaped items do not pack well"
(synonym) pack
(hypernym) be
(verb-group) pack, bundle, wad
(derivation) compaction, compression, concretion, densification
2. compress into a wad; "wad paper into the box"
(synonym) pack, bundle, wad
(hypernym) arrange, set up
(hyponym) puddle
(verb-group) pack
(derivation) crush, crunch, compaction
3. make more compact by or as if by pressing; "compress the data"
(synonym) compress, pack together
(hypernym) wedge, squeeze, force
(hyponym) tamp down, tamp, pack
(entail) press
(derivation) crush, crunch, compaction
4. squeeze or press together; "she compressed her lips"; "the spasm contracted the muscle"
(synonym) compress, constrict, squeeze, contract, press
(hypernym) tighten
(hyponym) choke, strangle
Adjective
1. closely and firmly united or packed together; "compact soil"; "compact clusters of flowers"
(antonym) loose
(similar) clayey, cloggy, heavy
(see-also) concentrated
2. closely crowded together; "a compact shopping center"; "a dense population"; "thick crowds"
(synonym) dense, thick
(similar) concentrated
3. heavy and compact in form or stature; "a wrestler of compact build"; "he was tall and heavyset"; "stocky legs"; "a thick middle-aged man"; "a thickset young man"
(synonym) heavyset, stocky, thick, thickset
(similar) fat
4. briefly giving the gist of something; "a short and compendious book"; "a compact style is brief and pithy"; "succinct comparisons"; "a summary formulation of a wide-ranging subject"
(synonym) compendious, succinct, summary
(similar) concise

adj. compact, dense, solid

n. compact