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countable basis

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  • Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… …   Wikipedia

  • Basis — Regarding a futures contract, the difference between the cash price and the futures price observed in the market. Also, it is the price an investor pays for a security plus any out of pocket expenses. It is used to determine capital gains or… …   Financial and business terms

  • basis — The difference between the current cash price and the futures price of the same commodity. Unless otherwise specified, the price of the nearby futures contract month is generally used to calculate the basis. Chicago Board of Trade glossary The… …   Financial and business terms

  • basis */*/*/ — UK [ˈbeɪsɪs] / US noun [countable] Word forms basis : singular basis plural bases UK [ˈbeɪsiːz] / US [ˈbeɪˌsɪz] 1) a particular method or system used for doing or organizing something on a ... basis: workers who are employed on a temporary basis… …   English dictionary

  • Schauder basis — In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear combinations that are finite sums, while for Schauder bases they may be infinite sums. This …   Wikipedia

  • Orthonormal basis — In mathematics, particularly linear algebra, an orthonormal basis for inner product space V with finite dimension is a basis for V whose vectors are orthonormal.[1][2][3] For example, the standard basis for a Euclidean space Rn is an orthonormal… …   Wikipedia

  • Second-countable space — In topology, a second countable space, also called a completely separable space, is a topological space satisfying the second axiom of countability. A space is said to be second countable if its topology has a countable base. More explicitly,… …   Wikipedia

  • First-countable space — In topology, a branch of mathematics, a first countable space is a topological space satisfying the first axiom of countability . Specifically, a space, X , is said to be first countable if each point has a countable neighbourhood basis (local… …   Wikipedia

  • Large countable ordinal — In the mathematical discipline of set theory, there are many ways of describing specific countable ordinals. The smallest ones can be usefully and non circularly expressed in terms of their Cantor normal forms. Beyond that, many ordinals of… …   Wikipedia

  • Separable space — In mathematics a topological space is called separable if it contains a countable dense subset; that is, there exists a sequence { x n } {n=1}^{infty} of elements of the space such that every nonempty open subset of the space contains at least… …   Wikipedia

  • Locally discrete collection — In mathematics, particularly topology, collections of subsets are said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections is worthwile as Bing s… …   Wikipedia

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