# basis

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Related to basis: SAP BASIS, Basis risk, Basis points

## basis

Maths (of a vector space) a maximal set of linearly independent vectors, in terms of which all the elements of the space are uniquely expressible, and the number of which is the dimension of the space

## Basis

in mathematics, a set of linearly independent vectors taken in a certain order and plotted from a common origin. For vectors in three-dimensional space, any set of three vectors that are not parallel to the same plane can be used as a basis. If the vectors making up the basis are mutually orthogonal, then the basis is said to be orthogonal; if the vectors are of unit length, then the basis is an orthonormal basis. In the general case of an n-dimensional vector space, any set of n linearly independent vectors can be taken as a basis.

## basis

[′bā·səs]
(mathematics)
A set of linearly independent vectors in a vector space such that each vector in the space is a linear combination of vectors from the set.
References in periodicals archive ?
Thus, if a taxpayer has invested in multiple equipment-leasing deals, only the basis in those investments made in a given year may be combined for at-risk purposes.
Home improvements-such as construction of an addition or installation of a pool-give rise to basis increases.
Over the year, the SA delinquency rate for prime ARM products was down 7 basis points to 2.
In a B reorganization, the acquirer's basis in the newly acquired target stock is carryover basis.
The effect of reducing the tax basis of the property is that the owner will defer the DOI Income until he sells the property.
So in order for a manager to earn his normal fee, he's got to do 200 basis points over his benchmark, plus his fee.
However, what happens to the basis of the shares actually redeemed by the corporation for the property received?
There are two tax rules that could apply Under section 1367, S corporation shareholders can deduct losses up to the amount of their stock basis (with a corresponding reduction in basis).
The acquiring corporation may elect from two methods how it determines its total tax basis in the stock received.
The original purchase price and how it was purchased - through a dividend reinvestment plan, an employee stock option plan, or at a discount market price - has a direct impact on cost basis, as do corporate actions such as stock splits, mergers or spin-offs.
754 and 743, a partnership can adjust the inside basis of its assets on the sale or exchange of a partnership interest or on a partner's death.
Otherwise the carpet generally would be included in the value of the real property and the cost would be capitalized and recovered on a straight-line basis over 39 years.

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