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In the mathematical field of point-set topology, a continuum (plural: "continua") is a nonempty compact connected metric space, or, less frequently, a compact connected Hausdorff space. Continuum theory is the branch of topology devoted to the study of continua.
Continuum theory of specific heats of solids, see Debye model; Triune continuum, trinity of continual representations in general system modeling defined in the theory of triune continuum, used in the triune continuum paradigm; Continuous spectrum, referred to simply as the continuum in contrast to discrete spectral lines
Continuum (pl.: continua or continuums) theories or models explain variation as involving gradual quantitative transitions without abrupt changes or discontinuities. In contrast, categorical theories or models explain variation using qualitatively different states.
Generalized continuum hypothesis generalized continuum hypothesis The generalized continuum hypothesis states that 2 א α = א α+1 generic 1. A generic filter of a poset P is a filter that intersects all dense subsets of P that are contained in some model M. 2. A generic extension of a model M is a model M[G] for some generic filter G. gimel 1.
Hints and the solution for today's Wordle on Saturday, February 8.
“Continuum” refers to things that go through gradual transitions from one condition, to a different condition, without any abrupt changes or “discontinuities”. The plural can be spelled as either continuums, or continua.
Linear continuum, any ordered set that shares certain properties of the real line; Continuum (topology), a nonempty compact connected metric space (sometimes a Hausdorff space) Continuum hypothesis, a conjecture of Georg Cantor that there is no cardinal number between that of countably infinite sets and the cardinality of the set of all real ...
The quantity of apples is marked on the noun—"apple" singular number (one item) vs. "apples" plural number (more than one item)—on the demonstrative, that/those, and on the verb, is/are. In the second sentence, all this information is redundant, since quantity is already indicated by the numeral two.