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An arc is a space homeomorphic to the closed interval [0,1]. If h: [0,1] → X is a homeomorphism and h(0) = p and h(1) = q then p and q are called the endpoints of X; one also says that X is an arc from p to q. An arc is the simplest and most familiar type of a continuum. It is one-dimensional, arcwise connected, and locally connected.
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.
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 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
[1] [2] Considering a velocity vector field in three-dimensional space in the framework of continuum mechanics, we have that: Streamlines are a family of curves whose tangent vectors constitute the velocity vector field of the flow. These show the direction in which a massless fluid element will travel at any point in time. [3]
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]
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}} .
A conflict continuum is a model or concept various social science researchers use when modeling conflict on a continuum from low to high-intensity, such as from aggression to irritation to explosiveness.