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- DictionaryBa·sis/ˈbāsəs/
noun
- 1. the underlying support or foundation for an idea, argument, or process: "trust is the only basis for a good working relationship"
Definition of basis noun in Oxford Advanced American Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
From Longman Business Dictionary ba‧sis /ˈbeɪsɪs/ noun (plural bases /-siːz/) [ countable] 1 the facts or ideas from which something can be developed basis for If talks restart, this package is likely to be a basis for negotiation. 2 the original figures from which something can be calculated or valued basis for/of These figures will be ...
If something is a basis for a set, that means that those vectors, if you take the span of those vectors, you can construct-- you can get to any of the vectors in that subspace and that those vectors are linearly independent. So there's a couple of ways to think about it.
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.
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.
a way or method of doing something: Most of the staff here work on a voluntary basis. We are living here on a temporary basis. on a daily/monthly/regular basis. how often something is done: Meetings are held on a weekly basis. a situation or idea from which something can develop: Dani’s essay can serve as a basis for our discussion.
Basis - The fundamental or underlying principle, concept, or foundation upon which something is built or developed.
