Sentence examples for the second theorem provides from inspiring English sources

The second theorem provides some justification for the normative division of labor economists prefer, with economists concerned about efficiency and others concerned about justice.

Our first theorem provides a necessary and sufficient convolution condition for the harmonic functions in (mathcal{H}^{lambda} A,B)).

Our first theorem provides a difference analogue of a result of Li and Yang (J. Math. Anal. Appl. 253(1):50-57, 2001).

We noted above that the second incompleteness theorem provides us with a case where the statement, namely, Con(T), leads to a jump in the interpretability hierarchy while its negation does not.

The First Incompleteness Theorem provides a counterexample to completeness by exhibiting an arithmetic statement which is neither provable nor refutable in Peano arithmetic, though true in the standard model.

For the first incompleteness theorem, Q is sufficient; for the standard proofs of the second theorem, something like PRA, at a minimum, is needed.

The next theorem provides a true stability theorem, including both data as well as operator perturbations.

The following Theorem provides some information for this task.

To provide the first theorem we introduce the notion of ((s,r -contractive multivalued operator in partial Hausdorff metric spaces as follows.

The theorem provided the intellectual scaffold for opponents of free trade.

The following assumption and theorem provide the answer to the first question.