Sentence examples for classes determined by from inspiring English sources

Most of the athletes compete in modified versions of Olympic sports, pitted against one another in classes determined by the degree of their impairment.

Men and women compete across eight air rifle and four pistol events in classes determined by their ability to support the firearm themselves (classified as SH1) or with the need for a shooting stand (SH2).

A second pass of the adaptation uses classes determined by acoustic similarity, by clustering the Gaussians of the states.

We define classes determined by these indices and show that some of these classes form operator ideals.

We demonstrate through the examples of the basic control tasks that a natural framework to formulate different control problems is the world that contains as points the equivalence classes determined by the stabilizable plants and whose natural motions are the Möbius transforms.

Table 1 shows the rule base of our fuzzy inference system (FIS), where the θ column corresponds to the output values of the rules which are calculated using the REM and the c column corresponds to the consequence fuzzy classes determined by the unique values of θ.

In general, a property is preserved by an equivalence relation if it "spreads" in an equivalence class determined by the relation: If one member of the class has the property, then every member does.

means P GD) = 0, in which case we also say G ̃ ⊂ D ̃ ; G ̃ ∩ D ̃ denotes the the equivalence class determined by G ⋂ D. Other similar notations are easily understood in an analogous manner.

means (P(Gbackslash D =0), in which case we also say (tilde{G}subsettilde{D}); (tilde{G}captilde{D}) denotes the equivalence class determined by (Gcap D) and so on.

As a result, for a given data point x of an unknown class, we can simply compute the distance between x and all the data points in the training data and assign the class determined by the K nearest points of x.

Define a multiplication · : L 0 ( ℱ, X ) × L 0 ( ℱ, X ) → L 0 ( ℱ, X ) by x·y = the equivalence class determined by the ℱ-random variable x0y0, which is defined by (x0y0) = (x0 · (y0, ∀ω ∈ Ω, where x0 and y0 are arbitrarily chosen representatives of x and y in L 0 ( ℱ, X ), respectively.