• Countable Corporation (aka Countable) is a Software-as-a-Service (SaaS) company based in San Francisco. The company was founded in 2013 by its CEO Bart...
    10 KB (769 words) - 04:27, 26 July 2024
  • is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is countable if...
    28 KB (4,381 words) - 01:01, 29 March 2025
  • topology, a second-countable space, also called a completely separable space, is a topological space whose topology has a countable base. More explicitly...
    5 KB (727 words) - 16:56, 18 May 2025
  • support from other users. In 2019, Causes was acquired by Countable Corporation. In 2020, Countable.us and its associated app merged with Causes.com. Causes...
    7 KB (644 words) - 22:27, 5 April 2025
  • Thumbnail for Probability space
    requirements: First, the probability of a countable union of mutually exclusive events must be equal to the countable sum of the probabilities of each of these...
    24 KB (3,575 words) - 00:56, 12 February 2025
  • 1
    collection of things. One is most commonly a determiner used with singular countable nouns, as in one day at a time. The determiner has two senses: numerical...
    32 KB (3,221 words) - 17:13, 29 June 2025
  • Thumbnail for Axiom of choice
    I}X_{i}} is not empty. The union of any countable family of countable sets is countable (this requires countable choice but not the full axiom of choice)...
    60 KB (7,923 words) - 17:51, 8 July 2025
  • Thumbnail for Markov chain
    of as, "What happens next depends only on the state of affairs now." A countably infinite sequence, in which the chain moves state at discrete time steps...
    96 KB (12,900 words) - 19:30, 30 June 2025
  • Thumbnail for Georg Cantor
    Kronecker objected to Cantor's proofs that the algebraic numbers are countable, and that the transcendental numbers are uncountable, results now included...
    85 KB (10,164 words) - 19:54, 20 June 2025
  • Thumbnail for Cardinality
    a pair, and no object is paired more than once (see image). A set is countably infinite if it can be placed in one-to-one correspondence with the set...
    81 KB (10,754 words) - 00:31, 11 July 2025
  • informally, is an infinite set that contains too many elements to be countable. The uncountability of a set is closely related to its cardinal number:...
    6 KB (884 words) - 06:49, 8 April 2025
  • Thumbnail for Hilbert space
    with Cartesian coordinates in classical geometry. When this basis is countably infinite, it allows identifying the Hilbert space with the space of the...
    128 KB (17,469 words) - 11:09, 10 July 2025
  • [0,ω1] is not first-countable. The subspace [0,ω1) is first-countable however, since the only point in [0,ω1] without a countable local base is ω1. Some...
    15 KB (2,188 words) - 18:30, 3 July 2025
  • Thumbnail for Lego
    Lego (category Toy companies of Denmark)
    commonly used as a mass noun ("some Lego") or, in American English, as a countable noun with plural "Legos", to refer to the bricks themselves, but as is...
    93 KB (8,771 words) - 20:20, 11 May 2025
  • subsets of X {\displaystyle X} whose complements in X {\displaystyle X} are countable. Cofinite topology Double-pointed cofinite topology Ordinal number topology...
    15 KB (2,036 words) - 16:26, 1 April 2025
  • Brigade Media (category Companies based in Silicon Valley)
    by Pinterest. The remaining company assets and IP, including the Causes assets, were purchased by GovTech app Countable. James Windon was the president...
    19 KB (1,811 words) - 03:46, 17 November 2024
  • Thumbnail for Torsion-free abelian group
    known about infinitely generated abelian groups, even in the torsion-free countable case. An abelian group ⟨ G , + , 0 ⟩ {\displaystyle \langle G,+,0\rangle...
    6 KB (788 words) - 12:50, 24 May 2025
  • Thumbnail for Möbius strip
    uncountable set of disjoint copies into three-dimensional space, only a countable number of Möbius strips can be simultaneously embedded. A path along the...
    88 KB (9,639 words) - 16:17, 5 July 2025
  • W=\bigcup _{n<\omega }\{w\in W:|w|<n\}} would be a countable union of countable sets, thus countable). If p ( e 1 ) = b 1 {\displaystyle p(e_{1})=b_{1}}...
    52 KB (9,328 words) - 00:14, 17 June 2025
  • ≥ 2 by choosing the domain as { 0, 1/(n − 1), 2/(n − 1), ..., 1 } any countable set by choosing the domain as { p/q | 0 ≤ p ≤ q where p is a non-negative...
    16 KB (2,455 words) - 00:47, 8 April 2025
  • Thumbnail for Irrational number
    Cantor's proof that the real numbers are uncountable and the rationals countable, it follows that almost all real numbers are irrational. The first proof...
    40 KB (5,309 words) - 18:34, 23 June 2025
  • motivate the mean field simulation algorithm we start with S a finite or countable state space and let P(S) denote the set of all probability measures on...
    60 KB (8,594 words) - 16:17, 27 May 2025
  • Thumbnail for Monotonic function
    can only have jump discontinuities; f {\displaystyle f} can only have countably many discontinuities in its domain. The discontinuities, however, do not...
    19 KB (2,475 words) - 06:23, 2 July 2025
  • CCC (section Companies)
    closed category, a concept in category theory CCC, Roman numeral for 300 Countable chain condition, in order theory CCCn, cube-connected cycles of order...
    7 KB (775 words) - 20:28, 23 February 2025
  • Thumbnail for Set (mathematics)
    {\displaystyle |\mathbb {N} |=\aleph _{0}} are called countable sets; these are either finite sets or countably infinite sets (sets of cardinality ℵ 0 {\displaystyle...
    49 KB (7,143 words) - 21:00, 7 July 2025
  • precise sense described herein. In particular, the concept applies to countable families, and thus sequences of functions. Equicontinuity appears in the...
    25 KB (3,738 words) - 18:43, 4 July 2025
  • 5
    can be expressed as the sum of five non-zero squares. There are five countably infinite Ramsey classes of permutations.: p.4  5 is conjectured to be...
    19 KB (1,816 words) - 17:27, 9 July 2025
  • Thumbnail for Natural number
    well-ordered countably infinite set without limit points. This assignment can be generalized to general well-orderings with a cardinality beyond countability, to...
    53 KB (5,887 words) - 07:23, 24 June 2025
  • Thumbnail for Set theory
    Kronecker objected to Cantor's proofs that the algebraic numbers are countable, and that the transcendental numbers are uncountable, results now included...
    54 KB (6,586 words) - 11:37, 29 June 2025
  • Thumbnail for Cantor's theorem
    ( x ) {\displaystyle x\in f(x)} ", this is a diagonal argument. For a countable (or finite) set, the argument of the proof given above can be illustrated...
    22 KB (3,735 words) - 00:55, 8 December 2024