Sentence examples for a pair of element from inspiring English sources

Furthermore, if there exists a pair of element x 0 ∈ Q and operator S 0 ∈ L such that ∥ A x 0 ∥ Y = U ( A, S 0 ; Q ) + ∥ S 0 ∥ ⋅ ∥ x 0 ∥ X (11).

Also unique to lissamphibians is the columella-opercular complex, a pair of elements associated with the auditory capsule that transmit airborne (columella) or seismic (operculum) signals.

For a pair of elements in such that, put (2.1).

To put it quickly, a permutation of a pair of elements that are arbitrarily far apart cannot be ensured otherwise.

Thus, it starts by finding a pair of elements such as their distance is maximized argmax d(s1,s2)∈S.

The concept of fuzzy hyperoperation is a natural extension of crisp hyperoperation: as already mentioned, a crisp hyperoperation maps a pair of elements to a crisp subset of elements; a fuzzy hyperoperation maps a pair of elements to a fuzzy subset.

A pair of elements is introduced to describe a user, one represents its attribute set while the other one indicates its identity information.

For a pair of elements x, y in E such that x ≼ y, put [x, y] = {z ∈ E : x ≼ z ≼ y}.

The time constant at low frequency region is related to the properties of passive film present on the stainless steel surface, and a pair of elements of R1 and Q1 in parallel represents its resistance and CPE.

An algebraic hyperstructure (henceforth simply called a hyperalgebra) is a set endowed with one or more hyperoperations, i.e., multi-valued operations mapping a pair of elements to a set of elements.

A profile is value-restricted if every minimally inconsistent subset Y ⊆ X has a pair of elements p, q such that no individual i ∈ N has {p, q} ⊆ Ji.