Sentence examples for generalized relation from inspiring English sources

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.

It is clear that polynomial condition satisfies Case 2. In the following section, this result will be formulated as a generalized relation between polynomial condition and infinite differentiability condition.

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 more generalized relation which would connect every element in the matrix, (Figures 3 and 4) both discrete and/or continual ones, can be defined on the basis of relation (quotient) of two hyperspherical functions, one with increment of arguments dimensions degrees of freedom, that is, the assigned one while the other would be the starting one (the referred one).

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

The logical metafunction construes experience as chains, developed out of highly generalized relations such as elaboration, exemplification and modification, and combines clauses into complex clauses by means of the systems of TAXIS and LOGICO-SEMANTIC TYPE (Halliday and Matthiessen, 2004: Chapter 7).

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.

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'.

For many practical purposes it is sufficient to individuate logics more coarsely, as consequence relations or generalized consequence relations, or even, as is common in some areas, simply sets of formulas.

That is, if σ = Γ ≻ Δ and σ′= Γ′ ≻ Δ′, σ + σ′ is Γ, Γ′ ≻ Δ, Δ′. 9. A somewhat similar range of properties is the focus of Williamson (2006a), though with definitions that make the concepts in question apply to arbitrary linguistic contexts and not just to connectives (see Section 1 above), and without the explicit relativity to logics (consequence relations or generalized consequence relations).