• 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 (4,375 words) - 12:29, 4 October 2024
  • 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 (726 words) - 00:46, 20 September 2024
  • 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...
    8 KB (663 words) - 04:24, 26 July 2024
  • 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 (3,568 words) - 12:59, 4 November 2024
  • 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)...
    58 KB (7,685 words) - 23:16, 6 November 2024
  • ω1 is a countable set; for any sequence of such sets, the union of these sets is the union of countably many countable sets, so still countable; this union...
    14 KB (2,091 words) - 18:28, 15 October 2024
  • 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 (826 words) - 10:05, 6 August 2024
  • {\displaystyle M} can be chosen to be a "bare bones" model that is externally countable, which guarantees that there will be many subsets (in V {\displaystyle...
    52 KB (9,292 words) - 14:57, 4 June 2024
  • Thumbnail for Probability distribution
    {\displaystyle P(X\in \bigcup _{i}E_{i})=\sum _{i}P(X\in E_{i})} for any countable disjoint family of sets { E i } {\displaystyle \{E_{i}\}} The concept...
    47 KB (6,403 words) - 14:52, 16 August 2024
  • 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 (2,467 words) - 04:06, 27 August 2024
  • topology, σ-compact topological space is one that can be written as a countable union of compact subsets. In mathematical analysis and in probability...
    16 KB (2,092 words) - 16:34, 8 November 2024
  • Thumbnail for Set (mathematics)
    of N {\displaystyle \mathbb {N} } are called countable sets; these are either finite sets or countably infinite sets (sets of the same cardinality as...
    41 KB (4,771 words) - 14:39, 2 November 2024
  • Thumbnail for General topology
    set first-countable space: every point has a countable neighbourhood basis (local base) second-countable space: the topology has a countable base separable...
    42 KB (5,730 words) - 13:52, 26 September 2024
  • 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...
    30 KB (3,134 words) - 09:24, 18 October 2024
  • 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...
    83 KB (10,020 words) - 21:06, 5 November 2024
  • Thumbnail for Matt Mahan
    Matt Mahan (category American technology company founders)
    Brigade was acqui-hired by Pinterest and its technology was purchased by Countable. In early 2020, Mahan entered the San Jose City Council District 10 race...
    12 KB (945 words) - 06:50, 31 October 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 (783 words) - 23:28, 15 December 2023
  • 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...
    90 KB (8,563 words) - 03:30, 3 November 2024
  • 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...
    93 KB (12,558 words) - 11:11, 25 October 2024
  • 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...
    39 KB (5,246 words) - 14:40, 31 October 2024
  • subsets of X {\displaystyle X} whose complements in X {\displaystyle X} are countable. Cofinite topology Double-pointed cofinite topology Ordinal number topology...
    15 KB (2,023 words) - 17:43, 23 May 2024
  • 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 (5,856 words) - 18:47, 4 November 2024
  • equinumerous to the original set), and that the Cartesian product of even a countably infinite number of copies of the real numbers is equinumerous to a single...
    14 KB (1,814 words) - 19:41, 27 April 2024
  • applications Discrete mathematics, broadly speaking, is the study of individual, countable mathematical objects. An example is the set of all integers. Because the...
    159 KB (15,699 words) - 21:30, 7 November 2024
  • 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) - 04:22, 26 July 2024
  • Moscow, Russia, with IATA Airport Code SVO Small Veblen ordinal, a large countable ordinal Social value orientations, a psychological construct Sparse voxel...
    1 KB (155 words) - 10:54, 5 November 2024
  • Thumbnail for Universe
    responded to these paradoxes by developing the notion of a potential countable infinity, as well as the infinitely divisible continuum. The Indian philosopher...
    158 KB (16,505 words) - 05:22, 3 November 2024
  • Thumbnail for Spanish nouns
    grammatical gender. Countable nouns inflect for number (singular and plural). However, the division between uncountable and countable nouns is more ambiguous...
    46 KB (6,090 words) - 15:57, 14 September 2024
  • with finite (possibly empty) sequences of positive numbers, which are countable and can be placed in order first by sum of entries, and then by lexicographic...
    25 KB (2,834 words) - 18:37, 31 October 2024