Definitions for basis
ˈbeɪ 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).]

Dictionary of Nautical Terms(0.00 / 0 votes)Rate this definition:

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

Anagrams for basis »

1. absis

2. isbas

How to pronounce basis?

1. 

   Alex

   US English

   

   Daniel

   British

   

   Karen

   Australian

   

   Veena

   Indian

How to say basis in sign language?

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. President Barack Obama:

   I think that there is a legitimate criticism of what I've been doing and our administration has been doing in the sense that we haven't, you know, on a regular basis, I think, described all the work that we've been doing for more than a year now to defeat ISIL.

2. New York Gov. Andrew Cuomo:

   What we are going to do is focus on an area -- a concentric circle -- around the situs of the majority of the cases in New Rochelle, much of the transmission tends to happen on a geographic basis.

3. Steve Ballmer:

   The deficit is quoted on an annual basis, we lose about $ 750 billion a year as a country — could be a trillion. We don't use forecasts. We only use actuals. But $ 200 billion additional per year would be very significant on top of the $ 750 billion that we are already losing. Of course, there may be new revenue streams. We didn't hear about that today. But that can come.

4. Director Peter Botten:

   On that basis, I suppose if you're a buyer, time is on your side. If you're a seller that might not be the case.

5. Alabama Republican Governor Robert Bentley:

   I am confident that the USDOT investigation will find no basis for the claims of discrimination.

Images & Illustrations of basis

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