Exact(17)
But the relation, expressed in the statement, has always an absolute meaning.
(2) The membership relation, expressed by ∊, can be grafted on to first-order logic; it gives rise to set theory.
And an n-place predicate R applies to haecceities e1,…,en at w just in case the relation expressed by R is coexemplified with e1,…,en at w.
In either case, the intuition is that a relation expressed by "where there is smoke there is fire" obtains just in case there is no place where fire is absent but smoke is present, i.e. no counter-example.
To compare the results quantitatively, the relative packing density of the films is calculated using Lorentz-Lorentz relation expressed as follows: n 2 − 1 / n 2 + 2 = N α p / 3 ∞ ε 0 ρ, Open image in new window (1).
Of course such a definition will only succeed if the relation expressed by "is-made-true-by" can itself be explicated without relying upon the notion of truth itself or other notions that implicitly presuppose it, e.g., entailment (Merricks 2007: 15).
Similar(43)
Thus, rewriting Ptolemy's formula as c/120 = sin B, where B = A/2, the relation expresses the half-chord as a function of the arc B that subtends it precisely the modern sine function.
An abstract argumentation system is a collection of "defeasible proofs", called arguments, that is partially ordered by a relation expressing the difference in conclusive force.
Two closure relations are needed to predict these flow rates: the first closure relation expresses that the volume of solid injected into the airlift remains constant; the second closure relation expresses a global balance between the difference of column height in the riser and the downcomer and the total pressure drop in the airlift.
The Prater relation, expressing the pellet temperature as a linear function of concentration, is used under two simplifying assumptions: (i) the Nusselt and Sherwood numbers are equal; or (ii) the surface concentration is invariant.
The evolution of twin interfaces is governed by field equations and jump conditions of momentum balance, and by a kinetic relation expressing the interface velocity as a function of the local driving traction and interfacial orientation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com