Sentence examples for formula can be defined from inspiring English sources

With the help of the notion of skolemization, the notion of the Skolem normal form of an IFL formula can be defined.

Formally, the correspondence between sets of extensions and models of a propositional formula can be defined as follows.

The operator H 00 can be defined by formula (5.1) on C ∞ functions vanishing in some neighbourhoods of the points 0, t 0 / 2 and t 0. Therefore the operators H and H ~ have the same asymptotics of spectra.

Every recursively enumerable (RE) set can be defined by a formula of the latter sort; these are just the Σ01-formulas.

The present state of all things can be defined by a formula.

Formally, Sylvester's sequence can be defined by the formula :s_n = 1 + \prod_{i = 0}^{n - 1} s_i.

Mr. Lynn and other proponents of this type of architectural design are able to do that because they are using software that looks at shapes not as the product of a collection of straight lines that are each specified by fixed two-dimensional coordinates, but rather as the product of three-dimensional curves that can be defined by mathematical formulas.

Note that the Wronskian determinant can be defined by the following formula (see [10]): (5.15).

More precisely, quantification over sets can be defined in T PA) as quantification over formulas with one free variable and membership as the truth of the formula as applied to a number.

Consensus can be defined as a level of agreement and calculated using a mathematical formula or equation (e.g. percentage agreement, kappa analysis).

Material implication can be defined in the so-called extended IFL (Subsect. 3.4) by the formula.