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The definition of basis

3 Definitions of: basis

1. noun, something that underlies, supports, or is essential to something else, esp an abstract idea
2. noun, a principle on which something depends or from which something has issued
3. noun, 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
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Synonyms:	system, bottom, arrangement, way, footing, agreement, foundation, support, base, ground	And more...

From Collins