noun A starting point, base or foundation for an argument or hypothesis.
noun An underlying condition or circumstance.
Allow us to compete on an equal basis.
noun A regular frequency.
You should brush your teeth on a daily basis at minimum.
noun The difference between the cash price a dealer pays to a farmer for his produce and an agreed reference price, which is usually the futures price at which the given crop is trading at a commodity exchange.
noun In a vector space, a linearly independent set of vectors spanning the whole vector space.
noun Amount paid for an investment, including commissions and other expenses.
noun A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.
The collection of all possible unions of basis elements of a basis is said to be the topology generated by that basis.