Definition, Betydelse & Synonymer | Engelska ordet UNCOUNTABLE

Definition av UNCOUNTABLE

1. (lingvistik) oräknebar
2. (matematik) ouppräknelig

Exempel på hur man kan använda UNCOUNTABLE i en mening

• Bone tissue (osseous tissue), which is also called bone in the uncountable sense of that word, is hard tissue, a type of specialised connective tissue.
• Though only a few classes of transcendental numbers are known, partly because it can be extremely difficult to show that a given number is transcendental, transcendental numbers are not rare: indeed, almost all real and complex numbers are transcendental, since the algebraic numbers form a countable set, while the set of real numbers and the set of complex numbers are both uncountable sets, and therefore larger than any countable set.
• The uncountability of a set is closely related to its cardinal number: a set is uncountable if its cardinal number is larger than aleph-null, the cardinality of the natural numbers.
• In linguistics, a mass noun, uncountable noun, non-count noun, uncount noun, or just uncountable, is a noun with the syntactic property that any quantity of it is treated as an undifferentiated unit, rather than as something with discrete elements.
• For instance, in English no extra word is needed when saying "three people", but in many East Asian languages a numeral classifier is added, just as a measure word is added for uncountable nouns in English.
• The set of all integer sequences is uncountable (with cardinality equal to that of the continuum), and so not all integer sequences are computable.
• Neither of these statements directly implies the other, since there are complete metric spaces that are not locally compact (the irrational numbers with the metric defined below; also, any Banach space of infinite dimension), and there are locally compact Hausdorff spaces that are not metrizable (for instance, any uncountable product of non-trivial compact Hausdorff spaces; also, several function spaces used in functional analysis; the uncountable Fort space).
• When used as an uncountable noun, the word sausage can refer to the loose sausage meat, which can be formed into patties or stuffed into a skin.
• Burton also discusses proofs for different types of infinity, including countable and uncountable sets.
• That this and other statements about uncountable abelian groups are provably independent of ZFC shows that the theory of such groups is very sensitive to the assumed underlying set theory.
• For example, the index of H in G may be countable or uncountable, depending on whether H has a countable number of cosets in G.
• Some cardinalities cannot be proven to be equal to any particular aleph, for instance the cardinality of the continuum, whose value in ZFC may be any uncountable cardinal of uncountable cofinality (see Easton's theorem).
• A fundamental result shows that any two uncountable Polish spaces X and Y are Borel isomorphic: there is a bijection from X to Y such that the preimage of any Borel set is Borel, and the image of any Borel set is Borel.
• Geometrically, it is a generalized Pythagorean theorem for inner-product spaces (which can have an uncountable infinity of basis vectors).
• A discrete group is the same thing as a zero-dimensional Lie group (uncountable discrete groups are not second-countable, so authors who require Lie groups to have this property do not regard these groups as Lie groups).
• The definition of completeness is given here in terms of nets instead of the more familiar sequences because unlike Fréchet spaces which are metrizable, general spaces may be defined by an uncountable family of pseudometrics.
• The cocountable topology on an uncountable set is hyperconnected, thus connected, locally connected and pseudocompact, but neither weakly countably compact nor countably metacompact, hence not compact.
• The linguistic structure of SAE languages, on the other hand, gives its speakers a more fixed, objectified and measurable understanding of time and space, where they distinguish between countable and uncountable objects and view time as a linear sequence of past, present, and future.
• For instance, an example of a first-countable space which is not second-countable is counterexample #3, the discrete topology on an uncountable set.
• This class is not elementary, because a σ-structure in which both the set of realisations of P and its complement are countably infinite satisfies precisely the same first-order sentences as a σ-structure in which one of the sets is countably infinite and the other is uncountable.

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