Sentence examples for by using appropriate mathematical from inspiring English sources

Exact(3)

Secondly, we obtain the exact closed-form expression to the outage probability of UCR-OR systems by using appropriate mathematical proof.

Precise and smooth motion control of servo-pneumatic actuating systems can be improved only by using appropriate mathematical models and identification procedures.

Specially, by using appropriate mathematical proof, the closed-form expressions of outage probability would be achieved for the two cases where the CC-MIMO multiuser systems have the perfect and imperfect CSI.

Similar(57)

The design problem was formulated as a mathematical programming problem, and solved using appropriate mathematical programming techniques.

However, no one has yet proven this analytically using an appropriate mathematical model and probabilistic considerations.

The model uses more appropriate mathematical forms and includes significant factors ignored previously by others which makes it not only more rational and accurate but also simpler than other existing models reported in the literature.

These effects have been quantified by using the mathematical model described in the Appendix.

Different mathematical and computational descriptions use appropriate methods to address nonlinear relationships, chaotic behaviors and emergent properties.

We prove (2.10) by using mathematical induction.

We proceed by using mathematical induction.

(6.2). for every by using mathematical induction.

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