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basis
[ bey-sis ]
noun
- the bottom or base of anything; the part on which something stands or rests.
- anything upon which something is based; fundamental principle; groundwork.
- the principal constituent; fundamental ingredient.
- a basic fact, amount, standard, etc., used in making computations, reaching conclusions, or the like:
The nurse is paid on an hourly basis. He was chosen on the basis of his college grades.
- Mathematics. a set of linearly independent elements of a given vector space having the property that every element of the space can be written as a linear combination of the elements of the set.
basis
/ ˈɪɪ /
noun
- something that underlies, supports, or is essential to something else, esp an abstract idea
- a principle on which something depends or from which something has issued
- maths (of a vector space) a maximal set of linearly independent vectors, in terms of which all the elements of the space are uniquely expressible, and the number of which is the dimension of the space
the vectors x, y and z form a basis of the 3-dimensional space all members of which can be written as ax + by + cz
basis
/ ′ĭ /
, Plural bases ′ŧ′
- A set of independent vectors whose linear combinations define a vector space, such as a reference frame used to establish a coordinate system.
51Թ History and Origins
51Թ History and Origins
Origin of basis1
Idioms and Phrases
see on a first-name basis .Synonym Study
Example Sentences
I kind of think it's been settled, but in the past people have taken some issue with that on the basis that it implies that this is an imported, European phenomenon.
Figures from the King's Trust charity from February 2025 found that most of the 16-25 year olds it had surveyed felt anxious about the future on a daily basis.
Instead the tariff rate was calculated on the basis that it would eliminate the US's goods trade deficit with each country.
The airline announced last summer that it would do away with its open seating policy, a decades-long practice that allowed customers to select seats on a first come, first served basis.
Your gain is determined by subtracting your tax basis — the price you paid for the home, plus any qualifying improvements — from the net sales proceeds.
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Related 51Թs
What Is The Plural Of Basis?
Plural word for basis
The plural form of basis is bases, pronounced [ bey-seez ]. The plurals of several other singular words that end in -is are also formed in this way, including hypothesis/hypotheses, crisis/crises, and axis/axes. A similar change is made when pluralizing appendix as appendices.
that are formed like bases derive directly from their original pluralization in Latin and Greek.
Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
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