Basis may refer to:
Finance and accounting
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Adjusted basis, the net cost of an asset after adjusting for various tax-related items
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Basis point, 0.01%, often used in the context of interest rates
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Basis trading, a trading strategy consisting of the purchase of a security and the sale of a similar security
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Basis of futures, the value differential between a future and the spot price
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Basis (options), the value differential between a call option and a put option
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Basis swap, an interest rate swap
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Cost basis
Basis (or cost basis), as used in United States tax law, is the original cost of property, adjusted for factors such as depreciation. When property is sold, the taxpayer pays/(saves) taxes on a capital gain/(loss) that equals the amount realized ...
, in income tax law, the original cost of property adjusted for factors such as depreciation
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Tax basis, cost of an asset
and technology
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Basis function
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Basis (linear algebra)
In mathematics, a set of vectors in a vector space is called a basis if every element of may be written in a unique way as a finite linear combination of elements of . The coefficients of this linear combination are referred to as componen ...
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Dual basis
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Orthonormal basis
In mathematics, particularly linear algebra, an orthonormal basis for an inner product space ''V'' with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other. For ex ...
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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. Th ...
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Basis (universal algebra) In universal algebra, a basis is a structure inside of some (universal) algebras, which are called free algebras. It generates all algebra elements from its own elements by the algebra operations in an independent manner. It also represents the end ...
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Basis of a matroid
*Generating set of an
ideal:
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Gröbner basis
In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring over a field . A Grö ...
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Hilbert's basis theorem
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Generating set of a group
In abstract algebra, a generating set of a group is a subset of the group set such that every element of the group can be expressed as a combination (under the group operation) of finitely many elements of the subset and their inverses.
In oth ...
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Base (topology)
In mathematics, a base (or basis) for the topology of a topological space is a family \mathcal of open subsets of such that every open set of the topology is equal to the union of some sub-family of \mathcal. For example, the set of all op ...
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Change of basis
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Greedoid
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Normal basis
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Polynomial basis
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Radial basis function
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Standard basis
In mathematics, the standard basis (also called natural basis or canonical basis) of a coordinate vector space (such as \mathbb^n or \mathbb^n) is the set of vectors whose components are all zero, except one that equals 1. For example, in th ...
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Transcendence basis
In abstract algebra, the transcendence degree of a field extension ''L'' / ''K'' is a certain rather coarse measure of the "size" of the extension. Specifically, it is defined as the largest cardinality of an algebraically independent subset o ...
of a field extension
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Basis database
Chemistry
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Basis (crystal structure), the positions of the atoms inside the unit cell
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Basis set (chemistry)
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Dry basis, an expression of a calculation in which the presence of water is ignored
Organizations
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Bangladesh Association of Software and Information Services
Bangladesh Association of Software and Information Services (BASIS) is the national association of Software and information and communication technologies companies in Bangladesh.
History
Bangladesh Association of Software and Information Ser ...
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Basis Educational Group
BASIS Educational Group. LLC, styled BASIS.ed, is a for-profit education management organization based in Scottsdale, Arizona. It serves primarily Basis Schools, Basis Charter Schools, a non-profit charter management organization with offices in th ...
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Basis Schools, a group of schools in Arizona, Washington, D.C., and Texas
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Basis Technology Corp.
BasisTech is a software company specializing in applying artificial intelligence techniques to understanding documents and unstructured data written in different languages. It has headquarters in Somerville, Massachusetts and offices in San Franci ...
, a text analytics company
People
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Dimitris Basis, Greek singer
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Liron Basis (born 1974), Israeli footballer
See also
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Base (disambiguation)
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Basic (disambiguation)
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Basis of Union (disambiguation) Basis of Union may refer to:
*Basis of Union (Uniting Church in Australia) (1977)
*Basis of Union (Presbyterian Church of Australia)
The Basis of Union of the Presbyterian Church of Australia is the document under which the constituent state chur ...
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Basis set (disambiguation) Basis set may refer to:
* Basis (linear algebra)
* Basis set (chemistry)
In theoretical and computational chemistry, a basis set is a set of functions (called basis functions) that is used to represent the electronic wave function in the Hartre ...
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