Sentence examples for exists the class from inspiring English sources

Basic Law V committed Frege to claiming that, corresponding to any defining predicate Φ, there exists the class of all and only those things that satisfy Φ. will generate existential commitment to a denotation for any well-formed abstract term @xΦx.

If the classes of all neighboring nodes are different from the class of the intermediate node, the neighboring node with the lowest class above the class of the intermediate node is selected; if no higher class exists, the neighboring node with the highest class under the class of the intermediate node is selected.

A striking mathematical theorem is that if a rule separating the two flowers exists (within the class of criteria we are considering, such as linear inequalities), then our algorithm will find it after a finite number of steps, no matter what the starting hypothesis was.

For this purpose denote an arbitrary positive steady state of the system by X ∗, i.e. X ∗ is a placeholder for every positive steady state that exists in the class of systems.

If δ A = lim n → ∞ 1 n ∑ k = 1 n χ A k Open image in new window exists, then the class I δ of all A ⊂ N with δ(A) = 0 forms a nontrivial admissible ideal.

The next result includes the definition of the X Open image in new window-residual G X Open image in new window of a group G; it always exists if the class X Open image in new window is R0-closed, and it is epimorphism-invariant when X Open image in new window is a formation.

(c) Let A ⊂ N and s n = ∑ k = 1 n 1 k Open image in new window, for all n ∈ N. If d A = lim n → ∞ 1 s n ∑ k = 1 n χ A k k Open image in new window exists, then the class I d of all A ⊂ N with d(A) = 0 forms a nontrivial admissible ideal.

Earlier studies have suggested that further specificity exists within the class I ETS DBDs; Elk4 has been reported to have higher specificity towards sequence ACAGGATGT than Elk1 (reviewed in Verger and Duterque-Coquillaud, 2002).

In addition, a non-enzymatic class exists, the carbohydrate-binding modules (CBMs) [ 11, 12].

Instances of a semi-abstract class require only time to exist, and the class contains mind, representation, content, and a representation form.

It also appears to downplay the routing and scheduling options that exist between the Class 1 and regional railroads with short line operations to facilitate carload or carload block movements.