Sentence examples for result asserts from inspiring English sources

Our main result asserts that the following four assertions are equivalent:.

This result asserts an important policy implication.

Next result asserts that the converse is also true in a complete metric space.

The next result asserts that there is a strictly monotone increasing φ-mean (continuous) path between two φ-means.

The next result asserts that the φ-mean function is strictly concave (or convex) on a suitable convex subset of C sm,f (I).

Our main result asserts that, when α is locally unitary in this sense and  is a locally trivial G-space, (A × G)$̂is a locally trivial Ĝ-space.

end{aligned} (5.12) The result asserted by Theorem 5 follows by applying Lemma 1.

we find from (2.3) and (2.4) the result asserted by Theorem 2.1.

end{aligned} We thus arrive at the desired result asserted by Lemma 3.

Our eleven main identities are given here in the form of a single unified result asserted in the following theorem.

The proof of our main result asserted by Theorem 2 of the preceding section has made use of some familiar fixed point theorems.