Sentence examples for generalized equivalent from inspiring English sources

Certain theorems on generalized equivalent sequences by the use of ideals, lacunary sequences, and a modulus function are obtained.

To achieve these goals, the following tools are employed: the concept of generalized equivalent parameters, to couple the viscoelastic dynamic absorber to the nonlinear system; the four-parameter fractional derivative model, to represent the viscoelastic material; and nonlinear optimization techniques and the harmonic balance method to solve the nonlinear equation of motion.

To validate an in-house optimization program that uses adaptive simulated annealing (ASA) and gradient descent (GD) algorithms and investigate features of physical dose and generalized equivalent uniform dose (gEUD based objective functions in high-dose-rate (HDR) brachytherapy for cervical cancer.

The present work presents a robust methodology based mainly on generalized equivalent parameters (GEP) – for an optimal design of viscoelastic supports for rotating machinery - aiming at minimizing the unbalance frequency response of the system using a hybrid optimization technique (genetic algorithms and Nelder Mead method).

Furthermore, by explicitly including the impact of tumor motion on radiobiological models of cell survival, planned radiation dose could be optimized to improve radiobiological metrics of treatment plan quality, which include tumor control probability, normal tissue complication probability, and generalized equivalent uniform dose[88].

We first convert problem (MIQQP) into an equivalent generalized bilinear programming problem with integer variables (EIQQP).

The generalized class is equivalent to the class of balanced bipartite block designs considered by Jaggi, Gupta, and Parsad.

Among these, the minimum variance distortionless response (MVDR) beamformer known as the Capon beamformer and their equivalent generalized sidelobe cancellers (GSC) work successfully in remote speech enhancement applications [2].

Strain prediction methods included Neuber's rule in its original form and a generalized form, the equivalent strain energy density method, and the finite element analysis using ABAQUS code.

Secondly, standard Maximum-Likelihood estimation, or an equivalent generalized linear model (GLM) estimation as used by Stegeman et al. [ 4], can be applied to estimate the kernel parameters.

Next we give some useful theorems about writing the generalized differential transform in equivalent forms under certain conditions.