Basis may refer to:
Finance and accounting
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Adjusted basis In tax accounting, adjusted basis is the net cost of an asset after adjusting for various tax-related items.
Adjusted Basis or Adjusted Tax Basis refers to the original cost or other basis of property, reduced by depreciation deductions and increas ...
, the net cost of an asset after adjusting for various tax-related items
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Basis point
A basis point (often abbreviated as bp, often pronounced as "bip" or "beep") is one hundredth of 1 percentage point. The related term ''permyriad'' means one hundredth of 1 percent. Changes of interest rates are often stated in basis points. If ...
, 0.01%, often used in the context of interest rates
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Basis trading
Basis trading is a financial trading strategy which consists of the purchase of a particular financial instrument or commodity and the sale of its related derivative (for example the purchase of a particular bond and the sale of a related futures ...
, a trading strategy consisting of the purchase of a security and the sale of a similar security
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Basis of futures
Basis trading is a financial trading strategy which consists of the purchase of a particular financial instrument or commodity and the sale of its related derivative (for example the purchase of a particular bond and the sale of a related futures ...
, the value differential between a future and the spot price
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Basis (options)
Basis trading is a financial trading strategy which consists of the purchase of a particular financial instrument or commodity and the sale of its related derivative (for example the purchase of a particular bond and the sale of a related futures ...
, the value differential between a call option and a put option
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Basis swap A basis swap is an interest rate swap which involves the exchange of two floating rate financial instruments. A basis swap functions as a floating-floating interest rate swap under which the floating rate payments are referenced to different bases. ...
, 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
Under U.S. federal tax law, the tax basis of an asset is generally its cost basis. Determining such cost may require allocations where multiple assets are acquired together. Tax basis may be reduced by allowances for depreciation. Such reduced ba ...
, 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 components ...
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Dual basis
In linear algebra, given a vector space ''V'' with a basis ''B'' of vectors indexed by an index set ''I'' (the cardinality of ''I'' is the dimension of ''V''), the dual set of ''B'' is a set ''B''∗ of vectors in the dual space ''V''∗ with th ...
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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 example, ...
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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. This ...
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Basis (universal algebra)
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Basis of a matroid
In mathematics, a basis of a matroid is a maximal independent set of the matroid—that is, an independent set that is not contained in any other independent set.
Examples
As an example, consider the matroid over the ground-set R2 (the vectors i ...
*Generating set of an
ideal
Ideal may refer to:
Philosophy
* Ideal (ethics), values that one actively pursues as goals
* Platonic ideal, a philosophical idea of trueness of form, associated with Plato
Mathematics
* Ideal (ring theory), special subsets of a ring considere ...
:
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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 Gröbn ...
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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 othe ...
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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 ope ...
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Change of basis
In mathematics, an ordered basis of a vector space of finite dimension allows representing uniquely any element of the vector space by a coordinate vector, which is a sequence of scalars called coordinates. If two different bases are considere ...
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Greedoid
In combinatorics, a greedoid is a type of set system. It arises from the notion of the matroid, which was originally introduced by Hassler Whitney, Whitney in 1935 to study planar graphs and was later used by Jack Edmonds, Edmonds to characterize a ...
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Normal basis In mathematics, specifically the algebraic theory of fields, a normal basis is a special kind of basis for Galois extensions of finite degree, characterised as forming a single orbit for the Galois group. The normal basis theorem states that any f ...
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Polynomial basis
In mathematics the monomial basis of a polynomial ring is its basis (as a vector space or free module over the field or ring of coefficients) that consists of all monomials. The monomials form a basis because every polynomial may be uniquely wr ...
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Radial basis function A radial basis function (RBF) is a real-valued function \varphi whose value depends only on the distance between the input and some fixed point, either the origin, so that \varphi(\mathbf) = \hat\varphi(\left\, \mathbf\right\, ), or some other fixed ...
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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 the c ...
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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 ...
of a field extension
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Basis database Basis database or OpenText Collections Server is an Extended Relational Database Management System (RDBMS) produced by OpenText.
BASIS was originally developed by the Battelle Institute, and was spun off into Information Dimensions, a private comp ...
Chemistry
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Basis (crystal structure)
In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions or molecules in a crystalline material. Ordered structures occur from the intrinsic nature of the constituent particles to form symmetric patterns t ...
, the positions of the atoms inside the unit cell
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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 Hartree–Fock method or density-functional theory in order to turn the parti ...
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Dry basis
Dry basis is an expression of the calculation in chemistry, chemical engineering and related subjects, in which the presence of water (and/or other solvents) is neglected for the purposes of the calculation. Water (and/or other solvents) is neglect ...
, 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
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Basis Educational Group
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Basis Schools, a group of schools in Arizona, Washington, D.C., and Texas
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Basis Technology Corp., a text analytics company
People
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Dimitris Basis
Dimitrios Bibasis (''Δημήτριος Μπιμπάσης''), better known by his stage name Dimitris Basis (''Δημήτρης Μπάσης''), is a Greek singer and musician. He is from the village of Cherso, near the city of Kilkis in Central ...
, Greek singer
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Liron Basis
Liron Basis is a former Israeli footballer.
Honours
*Israel State Cup (1):
** 1996–97
*Israeli Premier League
The Israeli Premier League ( he, ליגת העל, ''Ligat Ha`Al'', ), is a professional association football league which operates ...
(born 1974), Israeli footballer
See also
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Base (disambiguation)
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Basic (disambiguation)
BASIC (Beginners' All-purpose Symbolic Instruction Code) is a family of general-purpose, high-level programming languages designed for ease of use. The original version was created by John G. Kemeny and Thomas E. Kurtz at Dartmouth College ...
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Basis of Union (disambiguation)
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Basis set (disambiguation)
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