Sentence examples for readily deduced from inspiring English sources

Since facts about are readily deduced from facts about, we set at no great loss.

A simple representation is also presented, from which the machine d q model can be readily deduced.

From the interpretations of the derived results, we demonstrate that the microstructure of the nanocomposites can be readily deduced.

Zoning diagrams of the flow patterns in the bottom standpipe are proposed and the flow patterns can be readily deduced from the pressure gradient.

(17) By (15) it results in D_{t}^{q} V bigl( e(t) bigr) leq e^{T} (t) ( A - C ) e ( t ) < 0. (18) From Theorem 2 it can be readily deduced that the zero solution of system (15) is globally asymptotically stable.

If one now chooses b n = (Λn+1/λn+1)/(Λ n /λ n ) such that Λ n (b n /λ n - 1/λn+1) = 1, then one gets immediately the following: ∑ n = 1 N λ n + 1 Λ n + 1 ∏ k = 1 n Λ k λ k λ k / Λ n G n ≤ ∑ n = 1 N a n, from which the assertion of Theorem 1.3 can be readily deduced.

Furthermore, one can readily deduce that (y_{n_{k}}rightarrow y_{0}) for some (y_{0}) and (Ty_{n_{k}}rightarrow y_{0}-Sx).

Taking into account the relation (vert frac{1-overline {a_{k}}}{1-a_{k}} cdotfrac{a_{k+1}}{1- vert a_{k}vert ^{2}}vert leq1) and using (6) in Theorem 1, we can readily deduce the following corollary (the proof is omitted here).

On considering the values of C p, q, δ) for δ = 1 and δ = q(p - 1)/(p(q + 1) - q), we readily deduce from Theorem 1.3 the following.

As in Farina's work we readily deduce, by letting (Rto+infty), that there is no nontrivial stable solution of (1.1), in the special case (1< theta

By using (10), (16), (18), and (19), we can readily deduce the following: (20) Ψ = 1 1 + ϵ λ,     ϵ = K 1 K 2,     λ = A 0 C 0. This expression is the main result of the current paper and will be validated with numerical simulations.