Sentence examples for in generalized form from inspiring English sources

Use, previously published results in paper written by author, the mathematical description of the heavy mass particle motion along rough curvilinear line with Coulomb's type friction in generalized form, the optimal control of such system dynamics analytically is considered.

With the use of Lagrange's and Castigliano's variational principles in generalized form, it is proven that obtained approximate shear moduli give the lower and upper bounds of the exact values and lie within the Reuss Voigt interval.

Some extensions are to fixed point theorems for contraction mappings in generalized form of metric spaces, especially a metric space endowed with a partial order.

In generalized form, the dynamic model of the robot system is expressed by the following: M r ( q ) q ̈ + C r ( q, q ̇ ) q ̇ + G r ( q ) + τ rv ( q ̇ ) + τ rf ( q ̇ ) = τ r − τ h2r (5).

As aforementioned, the notion and properties of almost periodic functions, either in their initial or in generalized form, turned out to be of great importance in various fields of analysis, function theory, topology and applied mathematics.

We describe the environmental characteristics of Queens in conjunction with the approach for conducting segment characterization and, eventually, home characterization and present this approach in generalized form for subsequent use in other NCS locations.

This paper suggests that learning flexible problem solving skills could be enhanced by explicitly instructing learners in generalized forms of schematic knowledge structures that are applicable to a greater variety of problems.

end{aligned}The map (1.24) can be extended in different ways, e. g. as in [7, Theorem 2.11] which is stated in a generalized form in Theorem 1.11 below.

Used by Grothendieck in a generalized form in [Gr-II].

We then extend the definition of SIC to an arbitrary number of processes, and develop implicated methodology of SIC in its generalized form, again in a distribution-free manner, for both parallel and serial models in conjunction with both the minimum time and maximum time stopping rules.

However, what did appear to be affected in a generalized form was the generation of GalNAc 6S) residues given that the transcription of the two genes coding the enzymes that catalyze this reaction, CHST3 and CHST7, decreased in both non metastatic (p = 0.003 and 0.003 respectively) and metastatic (p = 0.009 and 0.01) IDCs.