The aim of this paper is to study the (clinical) time-series data of three diseases with complex dynamics: Parkinson’s disease, Huntington’s disease and Amyotrophic Lateral Sclerosis. For this purpose, first all of the time series data are embedded in a vector space of suitable dimension and then the correlation dimension of the above mentioned diseases is estimated. The results are also compar...

In the above-mentioned paper, 1 the author found a minor error that only affects " book keeping " within the theory of Biscay distributions. Therefore, (14) and (15) should read In the above-mentioned paper, 1 the author found the following errors. — On p. 1721, the three last lines of Section D must be modified as follows: the process of the joint diagonalization of 1 V 1 and 2 V 2 may give (6...

In this paper we extend the classical Bohr’s inequality to setting of non-commutative Hardy space $H^1$ associated with a semifinite von Neumann algebra. As consequence, obtain for operators in Neumann-Schatten class $\mathcal C_1$ and square matrices any finite order. Interestingly, establish that optimal bound $r$ above mentioned concerning is 1/3 whereas it 1/2 case $2\times 2$ reduces $\s...

A paradox of dynamic routing in the Cohen-Kelly network is studied. Intuitively, we expect that adding capacity to a network improves the performance of the users. Braess showed an example wherein the opposite occurs. We refer to such a situation as a paradox. In this paper, we deal with a class of queueing networks in which Cohen and Kelly discovered a paradox in static routing. We consider th...

First we should mention legislation related to the higher education (HE) in the Republic of Latvia. The key laws regulating HE are as follows: ‘Law on higher education establishments’ passed in 1995 (revised in 2000), and ‘Frame Law on Education’ passed in 1998. Regulation of HE is referred to also in the ‘Law on Professional Education’ passed in 1999 and other laws, for instance, the law ‘On S...

We consider the half-linear second-order difference equation Δ rkΦ Δxk ckΦ xk 1 0, Φ x : |x|p−2x, p > 1, where r, c are real-valued sequences. We associate with the above-mentioned equation a linear second-order difference equation and we show that oscillatory properties of the abovementioned one can be investigated using properties of this associated linear equation. Themain tool we use is a l...

Active Knowledge Engineering Lab The Active Knowledge Engineering Lab activities include investigations that are about discovering, externalizing, expressing, representing, sharing, exploring, configuring, activating, growing and managing enterprise knowledge as well as designing new programming platforms based on mentioned above principles. This year we have been focused on the following topic...

and Applied Analysis 3 The vector representation of the above-mentioned truncated series can be written in the following form: y N (t)