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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
- A set of independent vectors whose linear combinations define a vector space, such as a reference frame used to establish a coordinate system.
Word History and Origins
Word History and Origins
Origin of basis1
Idioms and Phrases
see on a first-name basis .Synonym Study
Example Sentences
Raducanu, who continues to work with coach Mark Petchey on an informal basis, improved in the second set, winning four games in a row on her way to forcing a deciding set.
“By what authority can the U.S. government pay a foreign government to lock up for the long term people who were detained in the United States on the basis of no allegation of criminal misconduct?”
But, what, if anything, can be done about this unending parade of low-brow comedians assaulting us on a daily basis from the executive branch of government?
In December, the California Air Resources Board announced a similar offer but allotted vouchers on a first-come, first-served basis, which resulted in more than 100,000 applications for just 1,500 available vouchers.
The world number 49 spent the time there working with Mark Petchey, who is coaching her on an informal basis and was watching as she beat Lamens in her first clay-court appearance of the season.
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Related Words
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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