What does basis mean?

Definitions for basisˈbeɪ sɪs

Here are all the possible meanings and translations of the word basis.

Princeton's WordNet

  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. 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

  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

  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

  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

Sample Sentences & Example Usage

  1. Oscar Wilde:

    The basis of optimism is sheer terror.

  2. Aristotle:

    The basis of a democratic state is liberty.

  3. John Roberts:

    The way to stop discrimination on the basis of race is to stop discriminating on the basis of race.

  4. John Rekenthaler:

    The big plans will get even cheaper, a big plan sponsor might wind up paying one basis point instead of 10 basis points for the same fund.

  5. John Fitzgerald Kennedy:

    A man does what he must-in spite of personal consequences, in spite of obstacles and dangers and pressures-and that is the basis of all human morality.

Images & Illustrations of basis

  1. basisbasisbasis


Translations for basis

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