Sentence examples for relation in the form from inspiring English sources

Such characteristics are determined from a dispersion relation in the form of an eigenvalue problem established from the FE formulation.

This is usually done by incorporating the respective dissipation terms into the complex dispersion relation in the form of imaginary parts of frequencies.

A simple empirical relation in the form of {tau}_{mathbf{3}}=0.5cdot {left[1-frac{R}{R+varDelta R}+frac{1}{2pi}cdot sinleft(frac{2pi R}{R+varDelta R}right)right]}^{-1} (1).

However, neuro-fuzzy technique as an extension of fuzzy systems has this advantage over fuzzy that input output relation, in the form of rules, for the presented data, is created automatically.

Its central statement for our purpose is about (i) relation in the form of connexion: that the British constitution had been constructed in a manner that required the connexion (in this case the interdependence) of the parts of the sovereign in order to achieve mutual control.

Moreover, the exact group velocity defined as (g_{e}=partialomega/ partial K=c) is the same as the exact phase velocity because the dispersion relation is a linear function of K. We now apply the same Fourier-Laplace transform to the numerical approximation (6) and obtain the numerical dispersion relation in the form omega=frac{c}{h} bigl[cosalphasin(Khcosalpha)+sin alphasin (Khcosalpha) bigr].

Scaling relations in the form of deflection and impulse transmitted as functions of core density and load intensity are obtained to provide guidance for structural design.

In the present paper, a set of relations, in the form of a one-dimensional three-field model, is presented which enables a mechanistic prediction of high-quality CHF known as dry out.

In the first part, we propose desirable properties of attack relations in the form of postulates and classify several well-known attack relations from the literature with regards to the satisfaction of these postulates.

"Imagine a world," he says, "where virtually every activity outside the confines of family relations is a paid-for experience, a world in which traditional reciprocal obligations and expectations -- mediated by feelings of faith, empathy and solidarity -- are replaced by contractual relations in the form of paid memberships, subscriptions, admission charges, retainers and fees".

Although he does not designate it as such one might formalize these relations in the form: I-[technology]-world.