Sentence examples for finite categories from inspiring English sources

In the academy, identity politics is often the thing, and people would prefer to deal with finite categories: 'black culture,'whitete culture,' 'Hispanic culture,' and so on.

"That works with a finite category of goods.

Note that since M i) is a finite category, (overline{Delta } M i)) is also finite, and then so is the fiber (M(I _i).

Assume given a finite category I and a functor (X:I rightarrow mathsf{R}(Phi )) given by components (X_0:I rightarrow mathcal {C}_0), (X_1:I rightarrow mathcal {C}_1) and a map (alpha :X_1 rightarrow Phi (X_0)).

Assume given a finite ordered category I and a model category (mathcal {C}).

For any small category I, we have an obvious functor begin{aligned} mathsf{Ind},mathcal {C}^I rightarrow (mathsf{Ind},mathcal {C})^I, end{aligned} (12.1 and if I is a finite ordered category, this functor is an equivalence of categories (this is [29, Theorem 6.4.3]).

Since (mathsf{Ind},mathcal {C}) has all filtered colimits, it suffices to check that it has colimits (mathsf{colim}_I) over a finite ordered category I.

Note that since [1] is a finite ordered category, every map in (mathsf{Ind},mathcal {C}) can be represented by a filtered system (langle I,g rangle ) of maps in (mathcal {C}), and we can further assume that (I^o) is ordered.

CityCita emphasizes that their groups can be classified by any term or tag determined by organizers, instead of being limited to a finite number of categories determined by the service.

The prospective reimbursement of hospitals through the grouping of patients into a finite number of categories (Diagnosis Related Groups, DRGs), is common to many European countries.

At a first stage, a few number of plates is considered and SVM is used for a multi-class classification of the conductive plate thicknesses within a finite number of categories.