Sentence examples for this result asserts from inspiring English sources

This result asserts an important policy implication.

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.

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

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.

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).

The first result asserts that a φ-mean function: ∇ φ → M φ (f) is well defined and order preserving, and this assertion simultaneously gives a new interpretation of Jensen's inequality.

Our main result asserts that for G/K of rank at least two, a bounded real-valued function is annihilated by the system L⊕Hc if and only if it is the real part of a holomorphic function.

The main result asserts that, for any contraction T on an arbitrary Banach space X, ∥ Tn − Tn + 1 ∥ → 0 as n → ∞, if and only if the spectrum of T has no points on the unit circle except perhaps z = 1.