Sentence examples for the proposition implies from inspiring English sources

The proposition implies that we need to rule out two cases.

Although the second part of the proposition implies a left skewed distribution of the income (not existent in practice), the result is in the same line with the first and third parts: as far as the median voter prefers the tax (together with all the individuals in the subclass to which the median voter belongs), then the majority winner must consist of that policy.

A term is said to be distributed in a given proposition if that proposition implies all other propositions that differ from it only in having, in place of the original term, any other term whose extension is a part of that of the original term i.e., if, and only if, the term as it is used in that occurrence covers all the members of the class that it denotes.

The above Proposition implies that the parameter space (γ, A)∈ 1, ∞)× 0, ∞) can be divided into two regions (see Figure 1).

The above proposition implies again that every cross mean is stable.

The above proposition implies that, under autarky, there exists a unique and interior steady state to which the world economy converges monotonically along the unique saddle path.

The following proposition implies that using Equation 5 will lead to minor performance loss when the number of antennas at each BS is sufficiently large.

(3) "If one proposition (p) implies a second (q), then if that second proposition implies a third (r), the first implies the third".

The meaning of "implies" is that "of ordinary inference and proof" (1912, 531) according to which a proposition implies another proposition if the second can be logically deduced from the first.

However, he did think that these so-called "paradoxes of material implication" meant that material implication doesn't provide a proper understanding of any ordinary notion of implication, according to which one proposition implies another just in case the latter logically follows from and is deducible from the former.

This proposition implies a simple and unique way for choosing the vanishing moments of primal and dual low-pass filters so that the requirement of phase half-sample offset can be satisfied.