Sentence examples for a generalized relation of from inspiring English sources

The presence of an explicit expression for the mechanical momentum allowed for this case (p y  = 0, p x  ≠ 0) to find a generalized relation of Louis de Broglie.

A generalized dispersion relation of the magnetosonic wave in a four component plasma consisting of electrons and hydrogen ions of solar origin and positively and negatively charged oxygen ions of cometary origin has been derived by using the Vlasov-Maxwell kinetic model.

All the kinetic data obtained at different temperatures (800° 950°C) and also for different types of coals were represented with a single generalized relation.

This implies the statement given for consequence relations (putting "⊩" in place of "⊢") since a generalized consequence relation, like a consequence relation, is always determined by the class of all valuations consistent with it.

Similarly, we have the notion of a generalized consequence relation in which suitably two-sided versions of the conditions definitive of consequence relations are given, which can be found in Shoesmith and Smiley (1978), Chapter 2, for example (under the name 'multiple-conclusion consequence relation').

The fact that a generalized consequence relation is a binary relation means that we need to distinguish symmetric and non-symmetric such relations, as in general, and means that it is an unwise terminological decision to call generalized consequence relations symmetric consequence relations, as in Dunn and Hardegree (2001), Chapter 6.

As the ∨ example makes clear, by contrast with the case of consequence relations, Val, for a generalized consequence relation ⊩, need not be closed under conjunctive combinations.[7] Again, one can see this in the light of the considerations of Section 1, thinking of the relational connection between Set-Set sequents and arbitrary valuations, with the relation being 'holds on'.

We investigated GFT dual pairs of physical quantities governed by Sturm-Liouville-type differential equations and obtained a generalized uncertainty relation for such GFT dual pairs.

First, we derive an integral representation for the operator e λ n s n, which can be considered as a generalized representation of the relations (1.3) and (1.4).

A generalized plot of the nonlinear relation between −log 1- R12) and n12 is shown in Fig.  9: Over this range, the Fresnel reflectivity is essentially independent of angle.

The method results from generalized relations that were designed for study of physical properties of fractal structures.