Basis vs Theorem - What's the difference?
basis | theorem | Related terms |
A starting point, base or foundation for an argument or hypothesis.
An underlying condition or circumstance.
* 2013 , Daniel Taylor, Danny Welbeck leads England's rout of Moldova but hit by Ukraine ban'' (in ''The Guardian , 6 September 2013)[http://www.theguardian.com/football/2013/sep/06/england-moldova-world-cup-qualifier-matchreport]
regular frequency
(linear algebra) In a vector space, a linearly independent set of vectors spanning the whole vector space.
(accounting) Amount paid for an investment, including commissions and other expenses.
(topology) 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.
(mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions''. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called ''lemmas
(mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true; as, (as which it was known long before it was proved in the 1990s.)
(logic) a syntactically correct expression that is deducible from the given axioms of a deductive system
Basis is a related term of theorem.
In mathematics|lang=de terms the difference between basis and theorem
is that basis is basis while theorem is theorem.As nouns the difference between basis and theorem
is that basis is basis while theorem is theorem.basis
English
Noun
(en-noun)- Hodgson may now have to bring in James Milner on the left and, on that basis , a certain amount of gloss was taken off a night on which Welbeck scored twice but barely celebrated either before leaving the pitch angrily complaining to the Slovakian referee.
- You should brush your teeth on a daily basis at minimum.
- The flights to Fiji leave on a weekly basis .
- Cars must be checked on a yearly basis .