Sentence examples for a denoted from inspiring English sources

A soft topology on F A, denoted by τ ~ Open image in new window, is a collection of soft subsets of F A having the following properties: (1) F Φ, F A ∈ τ ~ Open image in new window.

Then A is said to be more accurate than B (or B includes A), denoted by A ⊂ B, if and only if A x ≤ B x for each x ∈ X.

The gap pattern of a sequence S i ∈ A, denoted G(S i ), is the set G(S i ) = { j : s i, j = -}.

CytoSolve dynamically integrates the computations of each model M to derive the species concentration of the integrated model O (derived in Appendix A), denoted as S O (defined in Appendix B).

One may also use strictly diabatic electronic wave functions, with the two nuclear coordinates fixed at their equilibrium or average values in the respective PES basins (or, indeed, effective PES or PFES basins, following the analysis of Appendix A), denoted by R n and Q n.

Closure of the set A is the smallest closed set containing A, denoted by A̅.

Unlike the other typical models, our approach takes a step further: the end of execution of a node A does not mean that the successor nodes A' (denoted A′≻ D A), that depend on A, will be immediately triggered (like it usually happens).

The identity function on a set $A$, denoted by $Id A\to A$, and which consists of all the pairs $aa,a)$, with $a\in A$, is trivially a bijection.

It is a model of an ABox (mathcal {A}), denoted by (mathcal {I}models mathcal {A}), if it satisfies all the individual assertions of (mathcal {A}).

Thus, for example, a group is just a triple $A , +, 0 $, where $A$ is a non-empty set, $+$ is a binary function on $A$ that is associative, $0$ is an element of $A$ such that $a+0=0+a=a$, for all $a\in A$, and for every $a\in A$ there is an element of $A$, denoted by $-a$, such that $a+ -a a+ -a+a= -a

The support of (Asubseteq {mathcal A}), denoted as supp(A), is the ratio of cardinality ({vert }rho {(A)}vert ) to ({vert } {mathcal O} {vert }), i.e. (supp {A}) buildrel mathrm{def} over = vert rho {(A)}vert / vert {mathcal O} {vert }).