Sentence examples for by utilizing the generalized from inspiring English sources
Starting from an initial rate vector, SUMT Algorithm updates the rate vector, r, in each iteration by utilizing the generalized Newton's method and then increase the penalty parameter.
With the aid of Hamilton's principle, the nonlinear differential governing equation was established and solved by utilizing the generalized differential quadrature method.
Theorems concerning stationary values of the respective Rayleigh quotients are proved by utilizing the generalized orthogonality relationships for the wet modes of these three kinds of liquid containing tank models.
By utilizing the generalized self-consistent approach, the equivalent matrix composed by the aggregate, cement and the ITZ between them are obtained with the first and second level homogenization procedures.
We then fit trees for each bin using the 'phyloFit' utility in the PHAST package v1.1, utilizing the generalized time-reversible substitution model and a fixed-tree topology provided by UCSC (parameters '-i SS--subst-mod REV--tree $tree', where $tree is the Newick format tree of the placental mammals) (Siepel and Haussler, 2004).
After being modified by utilizing the conjunctive/disjunctive resources upstream neighborhood policy, a set of generalized mutual exclusion constraints expressed by marking vectors can be obtained.
Non-strict and strict bilinear matrix inequality (BMI -based roBMI -basedverobusthesis schemes are probservery utilizing the one-synthesisschemescondition, the concept of quareatic inner boundedness, the generalized Lyaprovidedeory for singular systems, and the L2 gain reduction.
We have developed a generalized dynamic rainfall monitoring algorithm from limited non-linear attenuation measurements by utilizing the spatial sparsity and non-negativity of the rainfall field.
The generalized equations of motion for flexible linkage mechanisms, in which the thermal effects are taken into account, are developed by utilizing the virtual work method and the finite element theory in this paper.
The generalized definition of the Jk-integral is recast into a domain independent form composed of line and area integrals by utilizing the constitutive relations of plane orthotropic thermoelasticity.
By utilizing the adaptive pinning intermittent control idea, a novel distributed control protocol is designed based only on local intermittent information, some novel criteria are derived in matrix inequalities form by resorting to the generalized Halanay inequality.
