Sentence examples for by using this theory from inspiring English sources

Therefore, many authors have defined new sequence spaces by using this theory.

By using this theory, we initially study the problem of the indentation of a deformable elastic half-plane by a flat punch, then by a cylindrical indentor, and finally by a shallow wedge indentor.

By using this theory, the corresponding analytical expressions of the elastodynamic fields, total and differential scattering cross-sections, and the dynamic stress concentration factor are presented and their dependence on the characteristic lengths and frequency are examined.

The theory of locally convex probabilistic normed spaces can be also applied to fuzzy optimization problems and probabilistic models, and by using this theory many innovative methods can be developed further in some fascinating area of the stochastic optimal control theory.

By using this estimation and inequality theory, the new and more accurate estimations for the lower bounds for the rank are deduced.

We show that by using this extension of contraction theory to nondifferentiable vector fields, it is possible to design observers for a large class of piecewise smooth systems using not only Euclidean norms, as also done in previous literature, but also non-Euclidean norms.

Britten et al [ 11] and Campbell et al [ 12] have both conducted evaluations of meta-ethnography and claim to have succeeded, by using this method, in producing theories with greater explanatory power than could be achieved in a narrative literature review.

The CDD theory constructed by using this DODF to estimate ρ k+1) and thus obtain a closed set of equations is called the k-th order CDD theory (CDD k)).

Furthermore, spontaneous absolute asymmetric synthesis can be achieved by using this reaction.[ 9] Although the theory of asymmetric amplification during self-replication was first proposed in 1953,[ 10] the above reaction remains the only practical example of a chemical reaction involving asymmetric autocatalysis that leads to high levels of amplification of ee.

It is shown that the values calculated by using the theory of this paper are in good agreement with the results simulated by ANSYS.

Crucially, though, whereas copper's limit is a frequency of a few gigahertz and a maximum field strength of 30m volts per metre, glass can manage frequencies of terahertz and field strengths of up to a billion volts per metre.The American team, led by Robert Byer, of Stanford University, used this theory to create a system in which electrons are accelerated by laser pulses.