Sentence examples for bound is given for from inspiring English sources

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In [5], an upper bound is given for the smallest local maxima (m_{n} (E ) ): m_{n} (E )< frac{2}{pi} bigl(log(n+2)+log2+gamma bigr).

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Analytic expressions for the ergodic channel capacity or its lower bound are given for SISO, SIMO, and MISO cases.

An outer bound for the HBC protocol using the cut-set bound is given in [3].

A lower bound of 3724≈1.5416 is given for the competitiveness of any trackless online algorithm for the same problem, i.e., an algorithm that keeps track of no page outside the cache.

Assuming ideal coherent detection, BER bound for is given by [20], (4).

For each promoter, the strength of transcription initiation for each site that is either: [empty, bound by Gal4p, bound by Gal4-80p] is given in square brackets.

In addition, we remark that a lower bound for this product is given by prod_{n=1}^{8} biggl( 1+ frac{1}{4^{a_{n}}} biggr)=1.016932255cdots.

In conventional coding, the two signals are jointly encoded and it is well known that the lower bound for the rate is given by the joint entropy.

The bound for the third summand is given by (40) while, for the fourth one, use (30).

A bound for the ergodic distribution is given in Theorem 4.4 which is sharp.

The lower bound for the superhedging costs is given by ({underline {p}}^{s}_{t} left (x_{t},mathcal {C}^{t}right)={ess,inf} mathcal {H}^{s}_{t} (x_{t},mathcal {C}^{t})) where begin{array}rcl@ mathcal{H}^{s}_{t}left(x_{t},mathcal{C}^{t}right):=left{ p^{s}_{t}in mathcal{G}_{t} mid p^{s}_{t} textrm{ is a superhedging cost for }mathcal{C}^{t} right} end{array} (44).

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