# Definitions for **basis**ˈbeɪ sɪs

### This page provides all possible meanings and translations of the word **basis**

### Princeton's WordNet

footing, basis, ground(noun)

a relation that provides the foundation for something

"they were on a friendly footing"; "he worked on an interim basis"

basis, base, foundation, fundament, groundwork, cornerstone(noun)

the fundamental assumptions from which something is begun or developed or calculated or explained

"the whole argument rested on a basis of conjecture"

basis, base(noun)

the most important or necessary part of something

"the basis of this drink is orange juice"

### Wiktionary

basis(Noun)

A starting point, base or foundation for an argument or hypothesis.

basis(Noun)

An underlying condition or circumstance.

basis(Noun)

regular frequency

basis(Noun)

In a vector space, a linearly independent set of vectors spanning the whole vector space.

basis(Noun)

Amount paid for an investment, including commissions and other expenses.

### Webster Dictionary

Basis(noun)

the foundation of anything; that on which a thing rests

Basis(noun)

the pedestal of a column, pillar, or statue

Basis(noun)

the ground work the first or fundamental principle; that which supports

Basis(noun)

the principal component part of a thing

### Freebase

Basis

In linear algebra, a basis is a set of linearly independent vectors that, in a linear combination, can represent every vector in a given vector space or free module, or, more simply put, which define a "coordinate system". In more general terms, a basis is a linearly independent spanning set. Given a basis of a vector space, every element of the vector space can be expressed uniquely as a finite linear combination of basis vectors, whose coefficients are referred to as vector components. Every vector space has a basis, and all bases of a vector space have the same number of elements, called the dimension of the vector space.

### British National Corpus

Written Corpus Frequency

Rank popularity for the word 'basis' in Written Corpus Frequency: #854

Nouns Frequency

Rank popularity for the word 'basis' in Nouns Frequency: #284

### Anagrams of basis »

absis

isbas

# Translations for **basis**

### From our Multilingual Translation Dictionary

- база, основа, изходен пунктBulgarian
- basisDanish
- Basis, GrundlageGerman
- βάσηGreek
- baseSpanish
- baasEstonian
- lähtökohta, kanta, hankintameno, perustaFinnish
- baseFrench
- alapHungarian
- բազիսArmenian
- base, ammontare, cifra base, cifra, ammontare baseItalian
- 基底, 根拠, 基礎Japanese
- 바탕, 밑바탕, 밑천Korean
- basisDutch
- fundamento, basePortuguese
- bazăRomanian
- фундамент, база, основа, базис, основаниеRussian
- basis, bas, grundSwedish
- temel, tabanTurkish

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"basis." *Definitions.net.* STANDS4 LLC, 2015. Web. 31 Jan. 2015. <http://www.definitions.net/definition/basis>.