## Definitions for BASISˈbeɪ sɪs

### Princeton's WordNet(3.00 / 4 votes)Rate this definition:

1. footing, basis, ground(noun)

a relation that provides the foundation for something

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

2. 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"

3. basis, base(noun)

the most important or necessary part of something

"the basis of this drink is orange juice"

### Wiktionary(1.00 / 1 vote)Rate this definition:

1. basis(Noun)

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

2. basis(Noun)

An underlying condition or circumstance.

3. basis(Noun)

regular frequency

4. basis(Noun)

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

5. basis(Noun)

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

### Webster Dictionary(5.00 / 1 vote)Rate this definition:

1. Basis(noun)

the foundation of anything; that on which a thing rests

2. Basis(noun)

the pedestal of a column, pillar, or statue

3. Basis(noun)

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

4. Basis(noun)

the principal component part of a thing

### Freebase(0.00 / 0 votes)Rate this definition:

1. 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.

### Chambers 20th Century Dictionary(0.00 / 0 votes)Rate this definition:

1. Basis

bās′is, n. the foundation, or that on which a thing rests: the pedestal of a column: the groundwork or first principle:—pl. Bas′es. [See Base (1).]

### British National Corpus

1. Written Corpus Frequency

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

2. Nouns Frequency

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

1. absis

2. isbas

### Numerology

1. Chaldean Numerology

The numerical value of BASIS in Chaldean Numerology is: 1

2. Pythagorean Numerology

The numerical value of BASIS in Pythagorean Numerology is: 5

### Sample Sentences & Example Usage

1. Well there is no basis for that.

2. All these 'suspicions' have no basis.

3. The basis of optimism is sheer terror.

4. The basis for optimism is sheer terror.

5. There wasn't a basis for (the pat-down).

# Translations for BASIS

### From our Multilingual Translation Dictionary

• база, основа, изходен пункт
• basis
• Basis, Grundlage
• βάση
• base
• baas
• lähtökohta, kanta, hankintameno, perusta
• base
• आधार
• alap
• բազիս
• base, ammontare, cifra base, cifra, ammontare base
• 基底, 根拠, 基礎
• 바탕, 밑바탕, 밑천
• basis
• fundamento, base
• bază
• фундамент, база, основа, базис, основание
• basis, bas, grund
• temel, taban
• 基础

# Translation

#### Find a translation for the BASIS definition in other languages:

Select another language:

# Citation

## Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"BASIS." Definitions.net. STANDS4 LLC, 2018. Web. 25 Apr. 2018. <https://www.definitions.net/definition/BASIS>.