basis
nounDefinition of basis
1 : the bottom of something considered as its foundation
2 : the principal component of something Fruit juice constitutes the basis of jelly.
3a : something on which something else is established or based stories with little basis in reality no legal basis for a new trial still some basis for hope selected on the basis of test scores
b : an underlying condition or state of affairs hired on a trial basis He is on a firstname basis with his customers.
c : a fixed pattern or system meets with us on a regular basis [=regularly] The department sends reports on a daily basis. [=every day]
4 : the basic principle concepts that form the basis of the country's economic policies
5 mathematics : a set of linearly independent vectors (see vector entry 1 sense 1a) in a vector space such that any vector in the vector space can be expressed as a linear combination of them with appropriately chosen coefficients (see coefficient sense 1)
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