Sentence examples for next deduce from inspiring English sources

We prove the existence of a unique solution to the stochastic differential equation which rules the evolution of a representative polymer in the flow and next deduce a local-in-time existence and uniqueness result on the system coupling the stochastic differential equation and the momentum equation on the fluid.

We next deduced by maximum likelihood (ML) the parameters μ, σ, α, β, and ζ.

In the next section, we deduce a recursive formula to compute the singular point quantities of system (3) and the integrable necessary conditions for system (3) are obtained.

What happened next can be deduced from the findings of the imam who washed Mr. Angulo's body and the doctor who conducted the autopsy.

By virtue of Theorem 3.2 and Example 2.1 we can easily deduce the next statement.

Now, from Theorem 3.1 and Theorem 3.2, we deduce the next conclusion.

Our next goal is to deduce the estimates of (mathbb{G}(t)).

Following similar arguments as in the proof of Theorems 2.1 and 2.2, we can deduce the next result.

On the other hand, with the use of the Morse theory we are able to deduce the next result.

It is known that reflexivity implies WABS, and thus (II) implies (III), but we want to include (II) in order to deduce the next corollary.

Only in the next section shall we deduce the existence of solutions under a compactness assumption on the sets Φ R (F, y, β, t ), see Theorem 3.1.