Sentence examples for the analogous statement from inspiring English sources

We then prove the analogous statement for the case of product systems, generalizing a theorem of Arveson from the case of product systems of Hilbert spaces.

For maps meeting the requirements of Theorem 6, the analogous statement may not be true.

The analogous statement for solutions is the following: Theorem 1 continues to hold whenever u ∈ W 1, p - 1 is a SOLA to (17).

As these are reflexive spaces, the result gives an analogous statement for the dual spaces, e.g. the space of tempered distributions.

Following the proof of [ 8] for the implicit Euler method, an analogous statement for the difference operator associated with a stiffly accurate Runge Kutta method is obtained.

Recent studies in protein folding suggest that native state topology plays a dominant role in determining the folding mechanism, yet an analogous statement has not been made for RNA, most likely due to the strong coupling between the ionic environment and conformational energetics that make RNA folding more complex than protein folding.

An analogous statement for the Bergman space with standard radial weights has recently been obtained in [9], and there is a unified proof for all Hardy spaces and also for arbitrary Bergman spaces with reasonable radial weights [10].

An analogous statement holds beyond the two-state approximation for the dependence of F on the binding energy E. Hence, even if (a1,..., a l ) factorizes in the single nucleotide positions, (a1,..., a l ) does not.

However, unlike the Framework's statement acknowledging that physical processes underlie biological processes, there is no analogous statement in physics; the Framework does not claim, for example, that A variety of multistage subatomic and quantum processes account for the transfer of energy between two interacting objects.

An analogous statement holds for the commutativity.

Since the notions of a model category and a stable model pair are self-dual, Proposition 3.8 immediately implies an analogous statement for left comma-categories and left-derivable functors.