Basis definition: the bottom or base of anything; the part on which something stands or rests.. See examples of BASIS used in a sentence.. Definition. A basis B of a vector space V over a field F (such as the real numbers R or the complex numbers C) is a linearly independent subset of V that spans V.This means that a subset B of V is a basis if it satisfies the two following conditions: . linear independence for every finite subset {,.,} of B, if + + = for some ,., in F, then = = =; spanning property
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Forming the basis for could mean it is one of the factors forming the basis. basis of: Agriculture is the main occupation, with tobacco and cotton crops forming the basis of much local industry. basis for: The company continued to prosper, forming the basis for much of the commercial activity of colonial Canada. [emphasis mine]. BASIS definition: 1. the most important facts, ideas, etc. from which something is developed: 2. a way or method of…. Learn more.