We propose the method to compute the nonlinear parameters of heart rhythm (correlation dimension D₂ and correlation entropy K₂) using 5-minute ECG recordings preferred for screening of population. Conversion of RR intervals' time series into continuous function x(t) allows getting the new time series with different sampling rate dt. It has been shown that for all dt (250, 200, 125, and 100 ms) ...

In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p + 1 distinct decimated sequences s(dt + l) is derived. For an odd prime p, an even integer n, and d = pk + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period pn − 1 because gcd(d, pn − 1) = p + 1. The maximum magnitude of the...

LLE Review, Volume 88 183 Introduction Direct drive1 offers the potential of higher target gain for the National Ignition Facility (NIF)2 than indirect drive.3 Directdrive targets have been designed that reach a gain of 45 in onedimensional (1-D) simulations using primarily a pure cryogenic DT shell driven on an isentrope where the pressure is three times the Fermi-degenerate pressure (α = 3). ...

For an odd prime p, an even integer n, and d = p + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period p − 1 since gcd(d, p − 1) = p + 1. In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p+1 distinct decimated sequences s(dt+ l) is derived. The maximum magnitude Cmax of their ...

This paper is concerned with a class of even order nonlinear differential equations of the form d dt “ ̨

We consider the Hardy-type operator (Tf) (x) := v(x) ∫ x a u(t)f(t)dt, x > a, and establish properties of T as a map from L(a, b) into L(a, b) for 1 < p ≤ q ≤ 2, 2 ≤ p ≤ q < ∞ and 1 < p ≤ 2 ≤ q < ∞. The main result is that, with appropriate assumptions on u and v, the approximation numbers an(T ) of T satisfy the inequality c1 ∫ b a |uv|dt ≤ lim inf n→∞ nan(T ) ≤ lim sup n→∞ nan(T ) ≤ c2 ∫ b a ...

Let i = Es∼di π∗ [eπ̂(s)] for i = 1, 2, . . . , T the expected 0-1 loss at time i of π̂, such that = 1 T ∑T i=1 i. Note that t corresponds to the probability that π̂ makes a mistake under distribution dπ∗ . Let pt represent the probability π̂ hasn’t made a mistake (w.r.t. π∗) in the first tstep, and dt the distribution of state π̂ is in at time t conditioned on the fact it hasn’t made a mistake so f...

Let D be a connected balanced digraph. The classical distance dijD from vertex i to j is the length of shortest directed path in D. L Laplacian matrix and L†=(lij†) Moore–Penrose inverse L. resistance rijD then defined by rijD≔lii†+ljj†−2lij†. C collection digraphs, each member which finite union form D1∪D2∪....∪Dk where Dt digraph with Dt∩(D1∪D2∪⋯∪Dt−1) being single vertex, for all 1<t≤k. In t...