We construct and minimize the Chi-p, given by χ p α = ∑ i = 1 N f i - α σ f i p, (26).
The structures of these compounds were constructed and minimized with the MMFF force field[36] in Discovery Studio molecular simulation system (DS, Accelrys Inc).
By constructing approximating minimizing sequences of functions twice, we also obtained the optimal controls of impulsive fractional differential equations.
By constructing approximating minimizing sequences of functions, the existence of optimal controls of systems governed by nonlinear impulsive evolution equations is also presented.
These structural changes were simulated by constructing energetically minimized crystal structural models, which gave X-ray fibre diagrams close to those of the observed ones.
The cost function, which is a measure of the discrepancy between the trial and measured resonance frequencies for a number of vibrational modes, is constructed and then minimized by the Levenberg Marquardt optimization algorithm in order to recover the sought-for moduli.
They are constructed by minimizing the dispersion and the dissipation errors in the wave number space for waves down to four points per wavelength.
Empirically oriented models (e.g., Alexeev, 1978; Stern, 1985; Tsyganenko and Usmanov, 1982; Tsyganenko, 1987, 1989, 2002) are constructed by minimizing the discrepancy between the model output and satellite observations.
The number of nodes in the hidden layer, the architecture of the lower part of the network, as well as the weights used in them were kept as variables, and a Pareto front was effectively constructed by minimizing the training error along with the network size.
Hence, the ZCZPS can be constructed by minimizing the autocorrelation sidelobe of a sequence-pair and cross-correlation value of any two sequence-pairs in ZCZPS.
