# Definitions for basisˈbeɪ sɪsba·sis

### 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 / 2 votes)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(4.00 / 1 vote)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).]

1. basis

See BASE.

### Editors Contribution(0.00 / 0 votes)Rate this definition:

1. basis

The fundamental reason to exist.

The basis for the decision was just.

Submitted by MaryC on February 8, 2020

### 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

1. Alex
US English
Daniel
British
Karen
Australian
Veena
Indian

### 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

### Examples of basis in a Sentence

1. The world knows Annika on a first-name basis after her legendary 15-year professional golf career that broke world records and forever changed the way womens golf is played.

2. On the basis of this, they can determine a common approach.

3. It( would give) them power to extract concessions on a vote by vote basis.

4. There are undocumented children in K-12 education today that we support and give education to on a daily basis.

5. It is important to separate the roll of politics in setting priorities and the decision to prosecute cases. And in the Justice Department that is what we do on a daily basis, that is how are trained. So, it is not difficult for me, as deputy attorney general, you are move involved in policy making, but in terms of the principles of the department and how we conduct our investigations and who we prosecute, those decisions are going to be made in the same way they have always been made.

### Popularity rank by frequency of use

basis#1#1361#10000

## Translations for basis

### From our Multilingual Translation Dictionary

• أساس
• 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

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