footing, basis, ground(noun)
a relation that provides the foundation for something
"they were on a friendly footing"; "he worked on an interim basis"
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"
the most important or necessary part of something
"the basis of this drink is orange juice"
A starting point, base or foundation for an argument or hypothesis.
An underlying condition or circumstance.
In a vector space, a linearly independent set of vectors spanning the whole vector space.
Amount paid for an investment, including commissions and other expenses.
the foundation of anything; that on which a thing rests
the pedestal of a column, pillar, or statue
the ground work the first or fundamental principle; that which supports
the principal component part of a thing
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
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
Written Corpus Frequency
Rank popularity for the word 'basis' in Written Corpus Frequency: #854
Rank popularity for the word 'basis' in Nouns Frequency: #284
The numerical value of basis in Chaldean Numerology is: 1
The numerical value of basis in Pythagorean Numerology is: 5
Sample Sentences & Example Usage
The basis of optimism is sheer terror.
The basis of a democratic state is liberty.
The way to stop discrimination on the basis of race is to stop discriminating on the basis of race.
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.
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
Translations for basis
From our Multilingual Translation Dictionary
- база, основа, изходен пунктBulgarian
- Basis, GrundlageGerman
- lähtökohta, kanta, hankintameno, perustaFinnish
- base, ammontare, cifra base, cifra, ammontare baseItalian
- 基底, 根拠, 基礎Japanese
- 바탕, 밑바탕, 밑천Korean
- fundamento, basePortuguese
- фундамент, база, основа, базис, основаниеRussian
- basis, bas, grundSwedish
- temel, tabanTurkish
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