Sentence examples for compact by using from inspiring English sources

The FEL can be made compact by using an electrostatic accelerator and a micro wiggler.

First, we prove that R : Ω ¯ × [ 0, 1 ] → X 2 is compact by using Theorem 2.4.

Clearly, the operator sequence is compact by using the Arzela-Ascoli theorem [3], for each.

Next, we will show that Q 1 is compact by using the Ascoli-Arzela theorem.

We show that the input to solution (control to state) map is compact by using the fact that L 2 0, T; V ) ∩ W 1,2 0, T; V* ) furnished with the usual topology is compactly embedded in L 2 0, T, H), provided that the injection V ⊂ H is compact.

Alternatively, large linear force can be easily attained in a compact space by using leadscrew motors.

For the second time since November, a New Jersey man has pleaded guilty to defrauding mail-order music clubs of thousands of compact discs by using false names and addresses to exploit the clubs' introductory offers.

We show that all the signals in the closed-loop system are bounded and that the outputs converge to a compact set by using the Lyapunov analysis theorem.

However, the most social networks impose size limit to messages, which lead users to compact them by using abbreviations, slangs, and symbols.

However, it is difficult to achieve a compact design by using only planetary gear sets (PGSs) or only parallel-axis gear pairs (PGPs).

In contrast to earlier methods, our approach breaks the global dependence of compact methods by using explicit finite-difference methods at block interfaces and is fully conservative.