Sentence examples for proposition asserts that from inspiring English sources

The following proposition asserts that, for fixed (rho ), when the constraint (0 ;< S ; le ; S_0) is ignored, the point ((Q^), (S^)) is the optimal solution such that the expected total cost (hat{Pi }) has minimum value.

The following proposition asserts that, for fixed (m) and (L in left[ {L_{i},L_{ii - 1}} right]), the point (Q^) is the optimal solution such that the integrated total cost has minimum value.

Nor does the universal proposition assert that some class relation holds between A and B – the assertion of a class relation is just a way of saying that certain propositions are true.

This, with Proposition 6.1(i), (ii), asserts that ⊙ is commutative and associative on ({mathcal{I}}_{2}).

Our Alien example has already provided us with an example of BF in action: where φ is 'Ax', BF asserts that proposition (1) of Section 1.2 implies (4), or, in terms of their ordinary language counterparts, that (5) implies (6) — from the mere possibility of Aliens BF entails that there are, in fact, possible Aliens.

Thus, for sententialists, (3) asserts that, "'Brutus killed Caesar' is true" means the same as 'Brutus killed Caesar'; while for propositionalists (4) asserts that 'the proposition that Brutus killed Caesar is true' means the same as 'Brutus killed Caesar'.

Broadly speaking, these propositions assert that certain conditions are sufficient to ensure that a partially ordered set contains at least one maximal element, that is, an element such that, with respect to the given partial ordering, no element strictly exceeds it.

So when Gill asserts that "M.

The fact asserts that implies.

This psychological awareness further reveals the logical impossibility of any proposition that asserts that something is both true and false at the same time, and the logical impossibility of a proposition that asserts contraries further reveals the ontological fact that something cannot have contrary properties.

Proposition 3.5 asserts that { y n } has a Δ-convergent subsequence.