Sentence examples for by an arbitrary function from inspiring English sources

Notice that the weight of an edge is evaluated by an arbitrary function, which is denoted by the d and is normalized to the range [0, 1].

This study considers the buckling of an elastic truncated conical shell having a meridional thickness expressed by an arbitrary function, subject to a uniform external pressure, which is a power function of time.

It is assumed that a transient magnetic field which is defined by an arbitrary function of time acts on the surface of the solid cylinder in the direction parallel to its surface.

Motivated by the works in [22 24], in this paper, we establish some new generalized Volterra-Fredholm type discrete inequalities involving four iterated infinite sums with the right-hand side denoted by an arbitrary function ϕ ( u ), which are of more general forms.

Even if p0 y) were Gaussian, the very act of multiplying it by an arbitrary function makes p w y), and hence p1 y) non-Gaussian.

To obtain two dimensional images, expanding spiral scanning patterns are imposed on the fiber cantilever by using sinusoidal driving voltages with linearly varying amplitudes, which are generated by an arbitrary function generator (AFG3022B, Tektronics) and amplified by piezo driver modules (E-835, Physik Instrumente).

We start by fixing an arbitrary function.

Namely, we improve and generalize inequalities (1.10) and (1.11) by considering an arbitrary function Φ, not necessarily convex, such that (2.1) holds.

By convoluting an arbitrary function χ (t) with Eq. (17), we now obtain the solution of the velocity potential with respect to the function generally given by Eq. (4) as follows: (18).

Generally, a regular baseline series can be set by means of an arbitrary function defined on a time interval (T = left{ {t_{k} = kh} right}, k = 1, ldots N,) h is 1 h.

The state feedback is given by the composition of an arbitrary function and the control contact Hamiltonian function.