Sentence examples for subset of elements from inspiring English sources

However, most industrial applications have focused on only a small subset of elements from the periodic table, centered around carbon biochemistry.

The results indicate that the aggregation functions can be categorized according to whether they entail (a) selection of a subset of elements and/or (b) non-linear operations on the elements.

Given a set of positive integers S, the minimum generating set problem consists in finding a set of positive integers T with a minimum cardinality such that every element of S can be expressed as the sum of a subset of elements in T. It constitutes a natural problem in combinatorial number theory and is related to some real-world problems, such as planning radiation therapies.

A module in this context would be a subset of elements having more connections among them than with other parts of the web (Wagner et al. 2007).

Sparse representation, on the other hand, finds a subset of elements from a dictionary and the corresponding weights to reconstruct an entire patch (dictionary learning simultaneously finds a dictionary).

To each subregion, we associate a subset of elements of the state vector x k given by Figure 3 Vertices collected in 2 clusters L , their boundary sets ∂ L and neighbor sets N.

A positive by-product of Richard's paradox in Brouwer's work (1907, p. 149) is the notion of denumerably unfinished set, i.e., a set in which we can determine only denumerable subsets of elements, but where these denumerable subsets do not exhaust the given set, so that one can immediately produce new elements of the set from any given denumerable such subset.

(iv) (forall U, U in 2^{mathcal A}: varnothing subset U subseteq V), we have ({U} cap Minimal(V subseteq Minimal(U)), i.e. if (exists Min U cap Minimal(V)), then ({M} in Minimal(U)), where the set Minimal(U) consists of all minimal subsets of elements of U according to the normal order relation "(subseteq )" on subsets.

(forall U, U in 2^{mathcal A}: varnothing subset U subseteq V), we have ({U} cap Minimal(V subseteq Minimal(U)), i.e. if (exists Min U cap Minimal(V)), then ({M} in Minimal(U)), where the set Minimal(U) consists of all minimal subsets of elements of U according to the normal order relation "(subseteq )" on subsets.

They belong to the subsets of elements classified as Chapaev3 in Repbase.

However, in practice, this event-handler is only responsible for a subset of the elements inside the body element.