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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 ...
Cognitive grammar is a cognitive approach to language developed by Ronald Langacker, which hypothesizes that grammar, semantics, and lexicon exist on a continuum instead of as separate processes altogether. [1] This approach to language was one of the first projects of cognitive linguistics. [2]
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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
This is a list of notable theorems.Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures
The continuum hypothesis was advanced by Georg Cantor in 1878, [1] and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900. The answer to this problem is independent of ZFC, so that either the continuum hypothesis or its negation can be added as an axiom to ZFC set theory, with the resulting theory being ...
Using multimode phosphosilicate fibres pumped at 0.53 and 1.06 μm, they saw the normal Stokes components and a spectrum which extended from the ultraviolet to the near infrared. They calculated that the spectral broadening due to self-phase modulation should have been 910 cm −1, but their continuum was greater than 3000 cm −1. They ...
The continuum hypothesis asserts that is also the second aleph number, . [2] In other words, the continuum hypothesis states that there is no set A {\displaystyle A} whose cardinality lies strictly between ℵ 0 {\displaystyle \aleph _{0}} and c {\displaystyle {\mathfrak {c}}}