# basis

Also found in: Dictionary, Thesaurus, Medical, Legal, Financial, Acronyms, Idioms, Wikipedia.
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 ?
Whereas, the markup rate on outstanding deposits rose to 3.92 basis points (+8 basis points MoM).
To the extent that the partner merely withdraws his or her previously taxed investment in a partnership, there is no tax impact other than a reduction of the partner's basis in the partnership interest.
* Reconstructing basis over the course of past years requires thorough collection of records and checking them for correctness.
The NDS found that the combined percentage of loans in foreclosure or at least one payment past due reached 15.02 percent in the fourth quarter on a non-seasonally adjusted basis. That was the highest rate ever recorded in the MBA delinquency survey, according to a press release.
If the disposition occurs in the donor's tax year in which the donation is made, the donor's deduction generally is basis, not FMV.
In a B reorganization, the acquirer's basis in the newly acquired target stock is carryover basis.
Further assume that the retailer's basis in the property is \$12,000.
In a related action, the Board of Governors approved a 25 basis point decrease in the discount rate to 5 3/4 percent, the level requested by seven Reserve Banks.
The Israeli approach and the American approach seem to be that they will strike a deal with Jordan and then the three states together will present it to the Palestinians as the best that can be done under the circumstances on a take-it-or-leave-it basis. In this regard, remember that King Abdullah [of Jordan] and the Jewish Authorities secretly agreed to carve up Palestinian Lands between them in 1948.
The basis rules of subchapter S offer an advantage over those of subchapter C.
As a result of the \$25 reduction in the mortgage, you may reduce your basis in the property by \$25 without recognizing DOI Income.
The percentage of loans in the foreclosure process was 1.40 percent of all loans outstanding at the end of the second quarter, an increase of 12 basis points from the first quarter of 2007 and 41 basis points from one year ago.

Site: Follow: Share:
Open / Close