Sentence examples for define below from inspiring English sources

In the fuzzy model of the abstract economy, which we will define below, for each agent i, the action choice is modelled by the measurable fuzzy mapping X i, and the constraints and the preferences are modelled by the random fuzzy mappings A i and, respectively, P i.

We define below g-ordered complete G-metric spaces.

We define below a cost function C C o n f i g→C o s t to formalise such a table.

We define below a spatial version of the above problem and while we explore the above solution ideas, we consider spatial heuristics for picking items to ask about.

We define below an orthogonal projector with respect to the global domain (varOmega : varPi ^{1,0}_{N}:Vrightarrow V_{N}) such that for all (psiin V), bigl nablabigl psi-varPi ^{1,0}_{N} psibigl nablabigl psi-varPi_{varOmega }=0,quad forallchi_{N} in V_{N}.

For brevity, we define below symbols as: T q, p ( i, j ) = A i, j ( t q ) B p, n ( t q ), R q, p ( i, j ) = λ i j ∫ a b k i j ( s, t q ) B p, n ( s ) d s.

The Small Business Trade Mission competition (the "Competition") is open to UK residents aged 18 and over, working for or with a small business (defined below).

These assumptions guarantee the Markov chain that is defined below is irreducible and a periodic.

QRT was the sum of two components, the personnel-system interface (PSI) and SRT (defined below).

The results were processed as described in the Supporting Information S1 to eliminate all but the rare deletions (defined below).

Each surgical procedure followed the same protocol (defined below).