Sentence examples for mathematical theorems which from inspiring English sources

In reverse mathematics one tries to establish for mathematical theorems which axioms are needed to prove them.

In PISA 2012, only 11.8% of the mathematics items are found to be such that some mathematical theorem which the student can typically be assumed to know about, is helping the student in solving the item.

The mathematical theorem which underlies this third step is clear.

In support of his viewpoint, Allais has established (with rigorous proofs [13]) a mathematical theorem which says that the samplings of an almost periodic function converge to the Laplace-Gauss distribution.

Consider sentences which are accepted as mathematical theorems and which contain one or more mathematical singular terms.

To see this, consider a typical mathematical theorem S, which involves some normal extensional occurrence of either singular terms or first-order quantifiers.

We demonstrate our approach for the mathematical domain of limit theorems, which was proposed as a challenge to automated theorem proving by the late Woody Bledsoe.

Theorems, which are mathematical, rest on the solid foundation of formal logic and carry 100percentt certitude.

Inspired by the preceding fact, we prove two fixed point theorems which provide the mathematical basis for a new technique to carry out asymptotic complexity analysis of algorithms via partial metrics.

The difference here (according to Field 1984) is not about having or lacking mathematical knowledge, but rather it is about logical knowledge: of knowing which mathematical theorems follow from certain mathematical principles, and which do not.

Another possibility is that the common science has theorems which apply by analogy to the different mathematical kinds.