Various sequences that possess explicit analytic expressions can be analysed asymptotically through integral representations due to Lindelöf, which belong to an attractive but largely forgotten chapter of complex analysis. One of the outcomes of such analyses concerns the non-existence of linear recurrences with polynomial coefficients annihilating these sequences, and, accordingly, the non-exi...

where the A{ are rational integers, is called an integral linear recurrence of order k. Given such a linear recurrence and an integer c, one would like to know for what n does f(n) — c? In a very few particular instances (e.g. see [2], [6]) this question has been answered, but in general the question is very difficult. A less exacting problem is the determination of upper and lower bounds on th...

We prove that for arbitrary partitions λ ⊆ κ, and integers 0 6 c < r 6 n, the sequence of Schur polynomials S(κ+k·1c)/(λ+k·1r)(x1, . . . , xn) for k sufficiently large, satisfy a linear recurrence. The roots of the characteristic equation are given explicitly. These recurrences are also valid for certain sequences of minors of banded Toeplitz matrices. In addition, we show that Widom’s determin...

We present an automatic method for mapping a system of linear recurrence equations onto systolic architectures. First, we show that systolic architectures can be derived from linear recurrence equations using the notion of directed recurrence equations. Next, we provide a procedure called CUBIZATION to achieve better performance while mapping such equations. The CUBIZATION procedure is complete...

Along the lines of this theorem, Selmer [1] has shown how one can form a higher-order linear recurrence consisting of the term-wise products of two other linear recurrences. In particular, let {sn} be an m-order and {tn} be a p-order linear integral recurrence with the associated polynomials s(x) and t(x), respectively. Let a^, i = 1,2, ..., m, and 3j, j = 1, 2, ..., p, be the roots of the poly...

Beta-thalassemia is one of the most common autosomal recessive disorders in the world population resulting from over 200 different mutations of HBB gene. Beta-thalassemias are caused by point mutations or, more rarely, deletions in the HBB gene leading to reduced (beta+) or absent (beta0) synthesis of the beta chains of hemoglobin (Hb). High-resolution melting of polymerase chain reaction (PCR)...

Emotion, as a psychophysiological state, plays an important role in human communications and daily life. Emotion studies related to the physiological signals are recently the subject of many researches. In This study a hybrid feature based approach was proposed to examine affective states. To this effect, Electrocardiogram (ECG) signals of 47 students were recorded using pictorial emotion elici...

In this study, an improved second-order difference plot is proposed to analyze the variability of heart rate variability. Although variation physiological status cardiovascular system can be shown graphically by plot, descriptive ability existing indicators for insufficient. As a result, information contained in cannot extracted adequately. Addressing problem, temporal measure analysis presente...

This paper introduces the projection methods for describing and testing the differences between pairs of continuous distributions. These methods include the projection plot, the projection spline, and the iter-1 test. The projection plot displays the difference between corresponding quantiles against the average of the corresponding quantiles. It is analogous to an empirical quantile-quantile p...