Sentence examples for notation result from inspiring English sources

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We use the newly obtained notation result in a x = ( a n x n ) ∈ ℓ 1 whenever x = ( x k ) ∈ c 0 λ ( B ˜ ) or c λ ( B ˜ ) iff H λ y ∈ ℓ 1 whenever y = ( y k ) ∈ c 0 or c with the help of (5.4).

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Of the five Balinese syllables, only their vowels are used in written form i, o, e, u, a so that a letter notation results; this is still an abbreviated syllabic notation, not an alphabetical one.

Using the Shapiro structure as an alternative representation to calculate neutrality shifted the neutrality lower (structured median = 0.7777, unstructured medians = 0.6553, 0.6850, 0.6925, 0.6925, 0.6615), but the results remain highly correlated (ρ=0.9306) (Table 2) with the db structure notation results indicating similar performance.

We now recollect some basic definitions, notation, and results.

II and introduce some useful notation and results after which we present, in Sect.

In Section 2, we present some notation and results in regular variation theory.

Some basic notation and results for problem (1.1) are recalled in Section 2.

We assume the reader is familiar with the standard notation and results of Nevanlinna value distribution theory (see, e.g., [1 3]).

In Section 3, we construct a variational framework for (1.1)–(1.4) and present some basic notation and results.

The proposed extensions to statecharts are symbolic notations that result from an analogy with multi-layer Printed Circuit Boards (PCB).

In this subsection, we collect some notation and results on the Weinstein kernel, the Weinstein transform, and the Weinstein convolution.

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