Sentence examples for a revised theorem of from inspiring English sources

Remark 2.10 Theorem 2.9* is a revised theorem of Theorem 2.3 in [1].

with the usual convention of replacing B q n by B n,q. Remark 2.8 Theorem 2.7* is a revised theorem of Theorem 2.1 in [1].

We revise the statements of the main theorems and prove the revised theorems.

We start with a revised version of Theorem 1.1 useful to obtaining an affirmative answer to an existence problem of a fixed point in a G-complete Menger space.

Fisher [2] gave a revised version of this result.

(1.4) which is a revised version of model (1.3).

This paper is a revised version of the preprint [10].

The following is a revised and improved version of Theorem 1 in [25].

In this context, Bayes's theorem provides a mechanism for combining a prior probability distribution for the states of nature with sample information to provide a revised (posterior) probability distribution about the states of nature.

Now suppose that A is a theorem of T .

Such a wff is a theorem of logic.