Sentence examples for using the calculus from inspiring English sources

The optimal-control problem is formulated using the calculus of variations and Pontryagin's maximum principle.

Using the calculus in (b) Lemma 4.2, is a contraction by condition (4.32).

The problem is formulated in a variational form and then solved analytically using the calculus of variations.

The optimization problem is formulated as a variational problem and then solved analytically using the calculus of variations.

By using the calculus of variations, we transform the minimization of cost function to a six-dimensional two-point boundary value problem (BVP).

The fuel-optimal problem is formulated using the calculus of variations and Pontryagin's Maximum Principle in a complete four-body dynamical environment.

Riemann worked in a quasi-Euclidean space—"quasi" because he used the calculus to generalize the Pythagorean theorem to supply sufficient flexibility to provide for geodesics on any surface.

In Section 3, we use the calculus of optimization to find the optimal combinations (n, k) that minimize the variance of the MLE of WSCV for normally distributed variables.

If you can, use the calculus method.

The governing equations are first rewritten using the exterior calculus notation, replacing vector calculus differential operators by the exterior derivative, Hodge star and wedge product operators.

Using the integral calculus, the summation process is carried out automatically; the answer is I = (mR2)/2.