Sentence examples for derived and a from inspiring English sources

Some exact limit distribution theory is derived and a useful new reverse martingale central limit theorem is proved.

The congressmen have asked the budget office for a detailed explanation of how the estimate was derived and a list of the projects involved.

The governing equations are derived and a weighted residual method is introduced to solve these equations.

Optimality conditions are derived and a two-step optimization method using the optimality conditions is devised.

The method is derived and a number of analytical and experimental validation cases are presented.

Basic analytical models are derived and a numerical model is implemented in MATLAB-Simulink.

A nonlinear model of the reactor is derived and a control system is developed.

A PID control structure is derived, and a tuning procedure is proposed.

Equations suitable for such an analysis are derived, and a numerical example is presented.

For the numerical theories, the stability is derived and a priori error results are proved.

For the problem, an integer program is derived and a heuristic solution procedure is proposed based on Lagrangean relaxation.