Sentence examples for elements chain from inspiring English sources

Then there exists a nonzero elements chain from i to j of (mathcal {B}) with j satisfying (|b_{jjcdots j}|> R_{j}(mathcal{B})).

Then there exists a non-zero elements chain of (mathcal{B}) from i to j, such that j satisfies (|b_{jjcdots j}|>r_{j}(mathcal{B})).

On the other hand, if (|b_{iicdots i}|=r_{i}(mathcal{B})), then (iin Nbackslash J); by the assumption, we know that there exists a non-zero elements chain of (mathcal{A}) from i to j, such that (jin J).

If (i) (|a_{iicdots i}|geq r_{i}(mathcal{A})), (forall iin N),   (ii) (N_{1}= {iin N: |a_{iicdots i}|> r_{i}(mathcal{A}) } neqemptyset),   (iii) for any (inotin N_{1}), there exists a non-zero elements chain from i to j such that (jin N_{1}),   then (mathcal{A}) is a strong (mathcal{H} -tensor.

(|a_{iicdots i}|geq r_{i}(mathcal{A})), (forall iin N), (N_{1}= {iin N: |a_{iicdots i}|> r_{i}(mathcal{A}) } neqemptyset), for any (inotin N_{1}), there exists a non-zero elements chain from i to j such that (jin N_{1}), Let (mathcal{A}=(a_{i_{1}i_{2}cdots i_{m}})) be an mth-order n-dimensional complex tensor.

On the other hand, if (|b_{iicdots i}|= R_{i}(mathcal{B})), then (iin(N_{1}setminus J_{1} cup(N_{2}setminus J_{2})), by the assumption, we know that there exists a nonzero elements chain from i to j of (mathcal{A}) such that (jin J_{1}cup J_{2}).

While stream processing blocks are delivered as a standard, yet extensible, library of application-independent processing elements, chains can be defined by the pervasive application engineering team.

But in the United States, few hotels aside from Element chain have installed them.

Each fiber is modeled as a frictionless pin-connected rod element chain, defined as "digital chain".

The different relations between metabolites in both types of networks are illustrated in Fig. 1, which gives a qualitative view in an idealized situation, where all correlations between metabolites are produced by the reactions in a linear four-element chain.

A good way to start is to ask a group of employees to deconstruct your company's business model into its constituent elements: supply chain, value proposition, product configuration, pricing, marketing strategy, and so on.