Sentence examples for by the potential function from inspiring English sources

By innovatively constructing the intrinsical nonlinear relationship between the rendezvous error and the virtual rendezvous error, we can obtain the corresponding gain functions in both controllers that are able to conquer not only the strong nonlinearity of control plant but also the nonlinearity caused by the potential function.

If the distance between the estimated locations of sensor i, x i, and sensor j, x j, is denoted as ∥x i  − x j ∥, and the potential energy E i j caused by the difference between the measured distance and the estimated distance is defined by the potential function E ij = P ∥ x i − x j ∥ − d ij, (1).

Stochastic resonance (SR) phenomena in a time-delayed feedback tristable system driven by Gaussian white noise are investigated by simulating the potential function, mean first-passage time (MFPT), and signal-to-noise ratio (SNR) of the system.

In a regularization method, by decomposing the potential function into two or three components, the singular component can be analytically represented by the Green's function, while other components possess a higher regularity.

By using the potential function method and Hankel transform, this problem is formulated as the solution of a system of dual integral equations which are reduced to a Fredholm integral equation of the second kind.

Our data may suggest a health related functional profile showing some differences with those indicated by the potential functions of predicted genes in DNA-based surveys.

In a cylindrical coordinate system, the displacement can be expressed by the potential functions φ and ( {varOmega}_ileft 0,-frac{partial psi }{varOmega}_ileft 0,-frac{partialφ,i  + e ijk Ω k,j and Ω i,i  = 0.

Specifically, when the ICM algorithm starts, all the pixels of the displacement field are randomly visited and their displacement vectors updated by trying to minimize the potential function (18).

In addition, we reconstruct the potential function by nodal points.

In the present paper, we find the potential function by using nodal parameters for the p-Laplacian Bessel operator on a regular interval ([1,a]).

The cutoff radius is set as r cut = 4σ Ar-Ar The force of interaction is calculated from the potential function by F → = − ∇ U.