Low probability of detection (or covert) communication refers to the scenario where information must be sent reliably to a receiver, but with low probability of detection by an adversary. Recent works on the fundamental limits of this communication problem have established achievability and converse bounds that are asymptotic in the block length of the code. This paper uses Gallager’s random co...

In this paper we study k-noncrossing RNA structures with minimum arc-length 4 and at most k − 1 mutually crossing bonds. Let T k (n) denote the number of knoncrossing RNA structures with arc-length ≥ 4 over n vertices. We prove (a) a functional equation for the generating function ∑ n≥0 T [4] k (n)z n and (b) derive for k ≤ 9 the asymptotic formula T k (n) ∼ ck n +(k−1)/2) γ k . Furthermore we ...

where px and f\ denote the principal radii of S. For the second of the conditions (5) this gives p1 = />2, that is, S is a sphere, when real. Combining these results we have that minimal surfaces and spheres are the only real surfaces for which the spherical representation of lines of length zero is the system of rectilinear generatrices of the sphere. In order to determine what surfaces have t...

The appropriateness of the Wald-type logarithmic asymptotics for the mean length of sequential discrimination strategies between close alternatives has been already challenged in the well-known controversy over comparative performances of the asymptotically optimal Chernoff’s discrimination strategies and ad hoc heuristic rules of Box and Hill in the seventies. We continue this discussion by sh...

In this paper we study k-noncrossing RNA structures with minimum arc-length 4 and at most k − 1 mutually crossing bonds. Let T [4] k (n) denote the number of k-noncrossing RNA structures with arc-length ≥ 4 over n vertices. We prove (a) a functional equation for the generating function P n≥0 T [4] k (n)z n and (b) derive for k ≤ 9 the asymptotic formula T [4] k (n) ∼ c k n −((k−1) 2 +(k−1)/2) γ...

the growth parameters, mortality rates and exploitation population dynamic parameters and exploitation rate of psettodes erumei were assessed between july 2010 to june 2011 using length frequency analysis. the data were collected from landing sites of jask, bandar abass, kong and qeshm hormozgan province waters. using total weight (w) and total length (tl) data, the length- weight relationship ...

In this paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version ofKirk's fixed point theorem is given for asymptotic contractions and Boyd-Wong type contractions is investigated in uniform spaces.

Finding analytically the statistics of the longest common subsequence (LCS) of a pair of random sequences drawn from c alphabets is a challenging problem in computational evolutionary biology. We present exact asymptotic results for the distribution of the LCS in a simpler, yet nontrivial, variant of the original model called the Bernoulli matching (BM) model which reduces to the original model...