Sentence examples for finite collection of elements from inspiring English sources
A sub-semigroup H of G is said to have finite index if there is a finite collection of elements say (psi _1,psi _2,ldots,psi _ {m-1} in G) such that begin{aligned} G =Big (bigcup _{i=1}^{m-1} psi _i circ HBig ) cup H. end{aligned}The index of H in G is the smallest possible number m.
A sub-semigroup H of a semigroup G of endomorphisms of (mathbb C^k) is of co-finite index if there is a finite collection of elements say (psi _1,psi _2,ldots,psi _{m-1} in G) such that either begin{aligned} psi circ psi _{j} in H ; text{ or }; psi in H end{aligned}for every (psi in G) and for some (1 le j le m-1).
Third, Euclid showed that no finite collection of primes contains them all.
For each finite collection of sets, Conv( ∑ Qn ) = ∑ Conv Qnn ).
An agent chose action at from a finite collection of actions at time step, t.
Let x 1 *, …, x s * be another finite collection of covariate vectors.
However, restricting to any finite collection of subregions yields a valid outer-approximation of, and hence of.
Thus, GPR allows the prediction of f(x) at any finite collection of covariate vectors, x 1 *, …, x s *.
There is an operation of conjunction on facts, restricted to finite collections of facts, due to limitations in expressive power.
A classical (crisp) set is normally defined as a collection of elements or objects x ∈ X which can be finite, accountable, or overcountable.
