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In physics, for example, the space-time continuum model describes space and time as part of the same continuum rather than as separate entities. A spectrum in physics, such as the electromagnetic spectrum, is often termed as either continuous (with energy at all wavelengths) or discrete (energy at only certain wavelengths).
In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: It states: There is no set whose cardinality is strictly between that of the integers and the real numbers .
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 ...
Continuum (physics), continuous media; Space-time continuum, any mathematical model that combines space and time into a single continuum; 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 ...
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}} .
Continuum theory refers to the branch of topology devoted to the study of continua. A continuum is a nonempty, compact, connected metric space.
The continuous differences of properties within the river are dependent primarily on the specific composition of the organisms in different sections of the water. [6] Throughout the continuum of the river, the proportion of the four major food types; shredders, collectors, grazers (scrapers) and predators change. With the exception of the ...
A subset A of a continuum X such that A itself is a continuum is called a subcontinuum of X. A space homeomorphic to a subcontinuum of the Euclidean plane R 2 is called a planar continuum . A continuum X is homogeneous if for every two points x and y in X , there exists a homeomorphism h : X → X such that h ( x ) = y .