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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
/ ˈ²ú±ðɪ²õɪ²õ /
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
/ ²úÄå′²õIJõ /
, Plural bases ²úÄå′²õŧ³ú′
- A set of independent vectors whose linear combinations define a vector space, such as a reference frame used to establish a coordinate system.
˜yÐÄvlog History and Origins
˜yÐÄvlog History and Origins
Origin of basis1
Idioms and Phrases
see on a first-name basis .Synonym Study
Example Sentences
The NEH grant money being rescinded was mostly allocated on a reimbursement basis, Fujioka said — meaning organizations were expected to spend the money first, then get reimbursed.
We’re taken, instead, to lush forests where past memories of the war cannot help but color the present these characters are faced with on a day-to-day basis.
Mr Bourne, 51, spent five years offering self-defence classes to children and young people for free, and continued to coach some clients on a private basis.
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.
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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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