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basis
[bey-sis]
noun
plural
basesthe 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
plural
basesA 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
Synonym Study
Example Sentences
"She's come to the view there should be a national inquiry on the basis of what she's seen," Sir Keir said.
He clarifies what it means for democratic government to reflect the will of the people, specifying four criteria: Inclusion on an equal basis, meaningful choice, consequential deliberation, and impact on policy.
The museum is evaluating whether to move forward with upcoming public programs on a day-to-day basis.
Barclay said it is "really important" to "have a basis for the game and playing red ball cricket at domestic level".
Making the British Grand Prix work on a financial basis is difficult enough for Silverstone as it is.
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When To Use
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.Irregular plurals that are formed like bases derive directly from their original pluralization in Latin and Greek.
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