Sentence examples for main results let from inspiring English sources

Exact(15)

Main results Let (k_{2} > k_{1} geq1) be integers.

To state our main results, let us introduce some notation.

Before stating our main results let us introduce some preliminaries.

Before stating our main results, let us denote (34).

Before stating the main results, let us fix the rest of our notation.

Before stating our main results, let us first recall some necessary definitions and notations.

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Similar(45)

Main result: Let T z) be an analytic family of bounded operators from X to Y. Assume that all T z) have closed ranges depending continuously on z.

In order to explain the main result, let us introduce some notation.

Before deriving the main result, let us recall some initial comments.

Before stating our main result, let us recall some results on the local existence, uniqueness, and blow-up of the solution.

The (alpha -admissibility of (alpha -admissibilityntractiofs is defined to stalpha - psi -typemalpha - psi -typeleft( {X,F} right)) alpha - psi -type

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