Sentence examples for proposition below from inspiring English sources
The result is presented in the proposition below.
We require the proposition below in proving Theorem 3.1.
Some properties of averaged mappings are gathered in the proposition below.
The proposition below establishes a Lipschitz discrete dependence of the solution with respect to the data.
Using (5), we can state the channel estimation problem as shown in the proposition below.
Indeed, this common structure (formulated as the proposition below) was previously reported in [20, 45, 49] among others.
In discussing recent accounts of structured propositions below, it will be shown how, on those accounts, sentences that are necessarily equivalent may express distinct propositions; and how the semantic values of expressions in a sentence are recoverable from the proposition expressed by the sentence.
Our counterexample uses Proposition 3.2 below, which is a kind of comparison test for functions in ℱ.
When we refer to admissible speeds, we have (7) in mind; anyway the existence of solutions to (7) in practice depends on condition (i) (see Proposition 3.2 below).
The Proposition 2 below can give the LMI formulations of these inequalities, which is proved in Appendix D. Using Lemma 1 and some matrix lemmas, the first two constraint inequalities in (26) can be, respectively, expressed as (27) (27).
Such a view immediately raises a worry about false propositions (discussed below in connection with Russell's POM account of propositions).
