Sentence examples for making the derivative from inspiring English sources

In a typical FOPID design, a simple approximate model of the linearized system is derived and by making, the derivative of the open loop phase versus frequency at crossover frequency zero, flat phase margin is obtained.

The control law is derived by using a Lyapunov function and making the derivative of the Lyapunov function with respect to time be negative.

Proof Substituting n for k, k for m and m for n and making the derivative operation ∂ / ∂ y in both sides of Theorem 3.3, and then using the difference equation and symmetric distributions of the Apostol-Bernoulli polynomials gives the desired result.

Making the derivative of L v with respect to w H be zero, we have begin{array}rcl@ frac{partial{L_{mathbf{V}}}}{partial{mathbf{w}^{H}}}=-etaleft(P_{2}mathbf{w}mathbf{hh}^{H}mathbf{w}^{H}+1right)^{-2}mathbf{w}mathbf{hh}^{H}+mu{mathbf{wD}}, end{array} (27).

Case 1: When μ i =0, making the derivative of L V with respect to (mathbf {V}_{overline {i}}) be zero, we obtain begin{array}rcl@ frac{partial L_{mathbf{V}}}{partial mathbf{V}_{overline{i}}}=-left[mathbf{I}_{M}+ mathbf{V}^{mathrm{H}}_{overline{i}}mathbf{Phi}_{i}mathbf{V}_{overline{i}}right]^{-2} mathbf{V}^{mathrm{H}}_{overline{i}}mathbf{Phi}_{i}=0.

In January Sports Direct bought a 4.6% stake in Debenhams, which it then sold at a profit days later and instead made the derivative trade, which gives it an interest in 6.6% of Debenhams' shares.

The ideal correlator radius makes the derivative function equal to zero at point.

Based on such an idea, the PD feedback controller for singular neutral systems is first of all proposed which makes the derivative matrices (especially neutral matrix) meet the requirement which guarantees the existence of the solution for the system.

A storage function is constructed based on the passivity theory at first, in which the beneficial system nonlinearities, e.g., which can make the derivative of storage function to be more negative, are carefully remained so as to improve the system damping while all the other system nonlinearities are fully removed.

These two changes make the derivative an 18-valence electron species.

To make the derivatives even cheaper up front — and more risky in the long run — companies often sold two or three times as many put options as they bought call options.