Sentence examples for formulas of such from inspiring English sources

By coding the formulas of such a theory with natural numbers (now called Gödel numbers) and by talking about these numbers, Gödel was able to make the metamathematics of S become part of the arithmetic of S and hence expressible in S. The theorem in question asserts that the formula of S that expresses (via a coding) "S is consistent" in S is unprovable in S if S is consistent.

A list of formulas of such Green's functions for different situations and problems can be found in [6].

There exist some exceptions to this rule [20]; if the molecular formulas of such compounds is to be determined, this uninformative prior has to be modified.

Suppose we consider, not the sentential languages of our opening paragraph but rather first-order languages, and take S as the set of closed formulas of such a language and T as the set of models (interpretations, structures,…) for that language, then with R as the relation holding between a closed formula φ and a structure M when M ⊨ φ, fR S0) and gR(T0) are usually denoted by Mod(S0) and Th(T0).

Indeed, the formula of such negotiations is based on the race between an agreement over a framework for negotiations and a preliminary lifting of sanctions.

Christine Langan was keen to avoid a generic sitcom style of filming, citing the formulae of such programmes as "tired and dreary" and lacking emotional depth.

The latest particle formula of such kind of GIC material improved its wettability leading to an easier and faster mixing for practical use.

A theoretical explanation of formulas for such an equation given in our note [14] has attracted some attention.

Motivated and inspired by the work of Kim et al. [27], in this paper, we establish some new formulas for such a kind of sums of the products of an arbitrary number of the Apostol-Bernoulli, Euler and Genocchi polynomials by making use of the generating function methods and summation transform techniques.

Inspired by their work, in this paper, we establish some new formulas for such a kind of sums of the products of an arbitrary number of the Apostol-Bernoulli, Euler, and Genocchi polynomials by making use of the generating function methods and summation transform techniques.

A proof structure is a set of links over a finite set of formulas such that every formula is at most once the premise of a link and at most once the conclusion.