Sentence examples for comparing proposition from inspiring English sources
Thus, comparing Proposition 2 and Corollary 4 and evaluating the potential performance gain/loss due to introducing D2D communications would make more sense in a multi-cell scenario.
Proof: See Appendix B Comparing Proposition 1 and Proposition 2, it is seen that there are three extra terms in (24) due to the stochastic function perturbations.
Another epistemological argument for coherentism is based on the view that we cannot "get outside" our set of beliefs and compare propositions to objective facts.
In particular, Theorem 1.3 ii) is completely different from the case of the local boundary (1.4) (by comparing with Proposition 1.1(i)).
By comparing with Proposition 1.1 ii), Theorem 1.4 could be explained as the small perturbation of homogeneous Dirichlet boundary, which leads to the appearance of blowup, does not influence the precise asymptotic behavior of solutions near the blowup time and the blowup rate exponents and are just determined by the corresponding ODE system.
It is interesting to compare our proposition to this method since it is dedicated to multi-manifold spaces.
Our main result extends the range of (b>0) yielding a frame, compared with Proposition 1.1 ii): For (N>0), let (0< a< N) and (frac{2}{N+a}< bleqfrac{4}{N+3a}).
Further we note that our result is also a refinement of Proposition 3.2 of [14], and if we set (h=0) in the above theorem then we get a more refined result as compared to Proposition 3.2 of [14].
When "reality is compared with propositions" (TLP 4.05), it is the form of propositions which determines the shape of reality (and not the other way round).
Mr. Malloy also spoke critically of the property-tax caps and the cuts in local aid enacted in New Jersey and proposed in New York, comparing them to Proposition 13, the law now widely blamed for crippling California's public education system.
Durkheim's variable-based strategy conceives explanations from comparing and "testing propositions about general patterns of relationships among abstract variables" (Ragin and Zaret 1983, p. 740).
