: the bottom of something considered as its foundation. Fruit juice constitutes the basis of jelly. He is on a first-name basis with his customers.

BASIS definition: 1. the most important facts, ideas, etc. from which something is developed: 2. a way or method of…. Learn more.

BASIS definition: the bottom or base of anything; the part on which something stands or rests. See examples of basis used in a sentence.

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.

1. a bottom or base; the part on which something stands or rests. 2. anything upon which something is based; a fundamental principle. 3. the principal constituent; fundamental ingredient.

Basis definition: A foundation upon which something rests.

Change of basis A linear combination of one basis of vectors (purple) obtains new vectors (red). If they are linearly independent, these form a new basis. The linear combinations relating the first basis to …