# Definitions for **basis**ˈbeɪ sɪs

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

### Random House Webster's College Dictionary

ba•sis^{*}ˈbeɪ sɪs(n.)(pl.)-ses

a bottom or base; the part on which something stands or rests.

anything upon which something is based; a fundamental principle.

the principal constituent; fundamental ingredient.

a basic fact, amount, standard, etc., used in making computations, reaching conclusions, or the like:

to be paid on an hourly basis; to be chosen on the basis of merit.

**Category:**Common Vocabulary

** ^{*}** (-sēz).. Syn: See base1.

#### Origin of **basis**:

1525–35; < L < Gk básis step, place one stands on, pedestal =ba-, base of baínein to walk, step (akin to come ) +-sis -sis ; cf. base1

### 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"

### Kernerman English Learner's Dictionary

basis(noun)ˈbeɪ sɪs

as a result of

We made a decision on the basis of the evidence.

basisˈbeɪ sɪs

a fundamental idea or situation from which things develop

a biological basis for mood changes; Freedom forms the basis of democracy.; the theory has no basis in science

### 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

# Translations for **basis**

### Kernerman English Multilingual Dictionary

- grondslagAfrikaans
- أساس، قاعِده، أصْلArabic
- основаBulgarian
- basePortuguese (BR)
- základCzech
- die GrundlageGerman
- grundlag; basisDanish
- βάσηGreek
- base, cimientos, piedra angularSpanish
- alusEstonian
- پایه؛ شالودهFarsi
- perustaFinnish
- baseFrench
- בָּסִיסHebrew
- आधारHindi
- temelj, osnovaCroatian
- alapHungarian
- landasan, dasarIndonesian
- undirstaða; meginþátturIcelandic
- baseItalian
- 基礎Japanese
- 기초Korean
- pamatas, pagrindasLithuanian
- pamatsLatvian
- asasMalay
- basisDutch
- grunnlag, basisNorwegian
- podstawaPolish
- پایه؛ شالودهPersian
- قاعده، اساس، بنسټ، ستنه، اساسى توكىPashto
- basePortuguese
- bază, temelieRomanian
- основаRussian
- základSlovak
- osnovaSlovenian
- osnovaSerbian
- bas, basis, grundSwedish
- รากฐานThai
- temel, dayanakTurkish
- 基礎Chinese (Trad.)
- основаUkrainian
- بنیادUrdu
- nền tảngVietnamese
- 基础Chinese (Simp.)

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"basis." *Definitions.net.* STANDS4 LLC, 2014. Web. 24 Apr. 2014. <http://www.definitions.net/definition/basis>.