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 / 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(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).]

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

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. Hillary Clinton:

   Well there is no basis for that.

2. Andriy Pasishnik:

   All these 'suspicions' have no basis.

3. Oscar Wilde:

   The basis of optimism is sheer terror.

4. Oscar Fingall O'Flahertie Wills Wilde:

   The basis for optimism is sheer terror.

5. Mark Thomsen:

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

Images & Illustrations of basis

Popularity rank by frequency of use