Sentence examples for derivative process from inspiring English sources

In this method, a special Lyapunov function for achieving functional optimization is constructed and the probabilistic property of the derivative process of the stiffness is taken into account.

As was noted, since temporal random excitation of pavement surface Gaussian ergodic random process with zero mean, the response Z i (t) and its derivative process ( dot{Z}_{t} (t) ) are both zero mean Gaussian stationary stochastic processes.

In dimension four we link the local Yang Mills action to the quadratic variation of the derivative process defined by scalings of the driving Brownian motion in a coordinate chart.

Then, normalization of structural responses is performed so that the expected decay rates can be formulated in terms of covariance of a structural response, its time derivative process and its Hilbert transformation at the same time.

The reason is because a sizable derivative process for this chemical has not yet been developed until now.

The marginal distributions for output i and its derivative process at any input point, (7) where is the mean of the original process, the mean of the derivative process, the variance of the original process and the variance of the derivative process, and furthermore Equations (6) and (7) can easily be extended to make predictions about any number of variables.

This is true because the derivative processes and the original processes are derived from exactly the same input, X t).

It might be due to two derivative processes instead of one, the errors of the group velocities are larger than those of the phase velocities.

Our construction of derivative processes below builds on MGPs.

This is based on MGPs that enable the construction of derivative processes.

The derivative processes can be used to address the flux estimation problem from time course data.