Sentence examples for apply the proposition from inspiring English sources

We can apply the Proposition 2.5 to the function (tilde{f}(t)=1/f(1/t)).

In order to apply the Proposition 2.3, we observe that can be written as follows: (4.6).

For clarity the policy here will be to continue to apply the word "proposition" exclusively to Russellian propositions at the level of reference.

The subsequent examples apply the preceding proposition.

Here, the condition (gamma_{1}>frac{V_{T}}{V_{G}}) is satisfied, and we can apply the above proposition to induce a spike in Neuron 1 in minimal time.

On a compact Kähler manifold the projectors (pi _{p,q}) commute with the Laplace operator, so that the components (psi _{p,q}) of a harmonic form (psi ) are again harmonic, hence the operators (L, Lambda,dots ) preserve the finite dimensional subspace ({mathcal {H}}) of harmonic forms, and one can apply the above Proposition 111.

We apply the results of Propositions 1 and 2 to control the periods and patterns of both the individual oscillations and the synchronized calcium peaks.

Applying the value proposition has led to insights into the nature of assurance and has improved the practice of software assurance, where it has been applied at the Jet Propulsion Laboratory (JPL).

Nor do I even need to apply the scientific method to the proposition to persuade me that just because lots of religious people fund or deliver aid, it follows that we would not have aid without religion.

Establishing the exponential stability of this equation is enough to apply the same arguments of the Proposition 3.1.

We now apply the condition (i) and Proposition 2.1, the system J i ( S 1, Q ) is strictly complete, and the sets α i and α ¯ i by (3.1) are well defined such that.