zf'Xz) /'(*) g 1, zeB,
IfA{Q) > 0, fAe« equality occurs at a single point if and only if log f is a .... using the Jacobian elliptic functions sn, en, and dn, relative to the ...
http://rmmc.asu.edu/TO%20DOUGLAS/RMJ/vol12/vol12-3/min.pdf - Cached

ON THE CHUNG-DIACONIS-GRAHAM RANDOM PRO- CESS 1 Introduction
(log p) log(log p), the variation distance Pn − U is far from 0 for certain ... distribution of Yn, then the independence of en and dn implies Pn −U ≤Qn ...
http://www.emis.de/journals/EJP-ECP/_ejpecp/ECP/include/getdocc9d5.ps - Cached

Distribution of additive and multiplicative functions
the choice of x k = 0 and Yk = t log Ig(qk) I , the expression on the .... E N and D N has been shown, through several examples, by Levin and Fainleib [19]. ...
http://www.springerlink.com/index/D7678P02626Q701N.pdf

Monotonicity Rules in Calculus
quotient of derivatives of this function is, in turn, 2 + log(l + jc), ... Clearly, en and dn are decreasing functions from [0, /C(r)] onto [0, ...
http://www.jstor.org/stable/27642062

Adaptive Classification Procedures
Along with en and dn we also tabulate, for given a, the efficiencies fn of the Bayes procedure ... fn - ca are of order log (Cn)ln for some constants C. A ...
http://www.jstor.org/stable/2288284

arXiv:quant-ph/0209124v3 28 Nov 2002
decoder is a trace-preserving completely positive (TP-CP) map En and Dn, .... log |Ω|+log dimHω, which is a random variable obeying the probability PE ...
http://arxiv.org/pdf/quant-ph/0209124 - Cached

<a href="http://arXiv.org/abs/math/0508427v2">arXiv:math/0508427v2 ...
there exists a value c2 (depending on a, b, and c) such that if n<c2(log p) ... Qn is the probability distribution of Yn, then the independence of en and dn ...
http://arxiv.org/pdf/math/0508427 - Cached

Quantum universal variable-length source coding
(TP-CP) map En and Dn, respectively. The average of. the total error is given by ... by log |Ω|+ log dim Hω, which is a random variable obey- ...
http://www.qci.jst.go.jp/~masahito/ronbun/variable-eqis2002.ps - Cached

Dynamic Susceptibility of Classical. Anharmonic Oscillator
sn, en and dn represent the Jacobian elliptic functions, and their modulus .... energy-dependence about E=0, ft/log(64/E) for E^>0 and 2zr/log( — 64/E) for ...
http://ptp.ipap.jp/link?PTP/44/1477/

Duality in fractional programming
En and dn are similar to dual variables in linear programming, .... Log. Quart. Vol. 11 (1964). [ll] Simonnard, M., Linear Programming (Prentice Hall, ...
http://doi.wiley.com/10.1002/nav.3800190409

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