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A Peano continuum is a continuum that is locally connected at each point. An indecomposable continuum is a continuum that cannot be represented as the union of two proper subcontinua. A continuum X is hereditarily indecomposable if every subcontinuum of X is indecomposable. The dimension of a continuum usually means its topological dimension.
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.
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
In the mathematical field of set theory, the continuum means the real numbers, or the corresponding (infinite) cardinal number, denoted by . [ 1 ] [ 2 ] Georg Cantor proved that the cardinality c {\displaystyle {\mathfrak {c}}} is larger than the smallest infinity, namely, ℵ 0 {\displaystyle \aleph _{0}} .
In the mathematical field of order theory, a continuum or linear continuum is a generalization of the real line.. Formally, a linear continuum is a linearly ordered set S of more than one element that is densely ordered, i.e., between any two distinct elements there is another (and hence infinitely many others), and complete, i.e., which "lacks gaps" in the sense that every nonempty subset ...
Continuum mechanics is a branch of mechanics that deals with the deformation of and transmission of forces through materials modeled as a continuous medium (also called a continuum) rather than as discrete particles. Continuum mechanics deals with deformable bodies, as opposed to rigid bodies. A continuum model assumes that the substance of the ...
The diagram first appeared in Imagery and Visual Expression in Therapy by Vija B. Lusebrink (1990). [1] The Expressive Therapies Continuum (ETC) is a model of creative functioning [2] used in the field of art therapy that is applicable to creative processes both within and outside of an expressive therapeutic setting. [3]
The Stone–Čech compactification of the topological space X is a compact Hausdorff space βX together with a continuous map i X : X → βX that has the following universal property: any continuous map f : X → K, where K is a compact Hausdorff space, extends uniquely to a continuous map βf : βX → K, i.e. (βf)i X = f.