Sentence examples for function on the form from inspiring English sources

In MPC, at each time instant t and for a given plant state x t, one often uses a linear quadratic cost function on the form [28]: V(bar{u}'!,x_{t}) triangleq |x'_{N}|^{2}_{P} +sum_{ell=0}^{N-1} big(|x'_{ell}|^{2}_{Q} + lambda (u'_{ell})^{2}big), (2).

However, during the time periods of photooxidation (period (ii)) and afterwards (period (iii)), noticeable downward curvatures in the on-time probability distribution are seen for all dimers measured, where a modified power law fitting function of the form, P(τ on) = Aτ on -mexp -τ on/t 1/e), describes well the on-time probability distribution for longer on-time (t on ≥ 200 ms) PL episodes [ 36].

Under certain conditions on the weight function of the form of a power function, sufficient conditions for the basicity of this system are obtained in generalized weighted Lebesgue space.

The fuzzy clustering algorithms were developed and tested in serval previous works [21 25], is a benchmark among different methods of fuzzy classification based on minimizing the objective function of the form: {J}_{FCM}left(Z U Vright)={displaystyle {sum}_{i=1}^c{displaystyle {sum}_{K=1}^N{left({mu}_{ik}right)}^m{D}_{ikA}^2}} (1).

Kim et al. [5, 6] obtained the regularity of functions on the form of reduced quaternions in Clifford analysis.

Structure data from the sketcher is transferred to form input fields on pages which link to the sketcher by a push mechanism, not by invoking a function on the recipient form to retrieve the current sketcher contents.

Generally speaking, we will consider -valued functions on of the form.

Your employer will be required to provide your name, job description, work schedule, and job functions on the FMLA form in Section 1. Fill out Section 2 of the form.

Prions are infectious proteins capable of replicating by forcing their alternate conformation (and, therefore, alternate function) on the normal physiological form of the protein (both having the same amino-acid sequence).

Noise due to acoustic absorption was removed by subtracting (using the linear minus algorithm from Echoview) the noise field created using a data generator algorithm based on a noise function with the form: 20*log(R)+2* α *R+offset where R is the range (in m), α is the frequency absorption coefficient (in dB.m−1) and the offset value (in dB) is the assumed initial noise at the first metre.

Although we will focus our discussion on the hazard function in the form of Eq. (1.5), the following analysis can handle more general cases as long as the explicit functional form of the hazard function is known.