Sentence examples for is given by the principle from inspiring English sources

An equation of equilibrium for free vibration is given by the principle of virtual work and the governing equation is solved by using the Rayleigh Ritz method with sets of orthonormal polynomials in which only the first polynomials are defined according to the geometric boundary conditions of a plate and the others are generated by the Gram Schmidt process.

We can draw upon information theory and note that the least biased partitioning of any dataset is given by the principle of maximum entropy, i.e., partitioning into equally populated bins or quantiles.

Following the clinical assessment, if patients are deemed suitable for the study, a full explanation will be given by the principle investigator and any patient concerns addressed.

A well-founded framework is given by the maximum likelihood principle.

This principle is given by the next theorem.

In a metric space, the full statement of the Banach contraction principle is given by the following theorem.

According to the minimization principle which is given by the preceding Theorem 5.3 we can find the nth eigen-pair ((lambda_{n},phi_{n})) only after the previous eigenfunctions (phi_{1}(x),phi_{2}(x),ldots, phi_{n-1}(x)) are known.

In principle, L0 is given by the number of base pairs assuming a length of 0.34 nm [ 15] per pair.

Necessary conditions for optimality for problem P1 are given by the Pontryagin maximum principle.

The major benefits of these communication principles are given by the possibility to increase a throughput in a MAC phase of the bidirectional communication, and by the inherently increased reliability of the BC stage [6].

In accordance with the WMA Declaration of Helsinki Ethical Principles for Medical Research Involving Human Subjects, approval was given by the local ethics committee of the Christian-Albrechts-University in Kiel (AZ 132/10).