Background/aim: Hydrochlorothiazide (HCTZ) possesses well-described photosensitizing properties, and a causal association with nonmelanoma skin cancer (NMSC) was recently shown. However, previous studies have not shown whether HCTZ use is associated the risk of recurrence basal cell carcinoma (BCC) or squamous (SCC). This study aims to investigate between in patients NMSC. Materials methods: We...

This paper studies coefficients y h,n of sequences of polynomials y h (x) = n≥0 Σ y h,n x n defined by non-linear recurrences. A typical example to which the results of this paper apply is that of the sequence B 0 (x) = 1 , B h + 1 (x) = 1 + xB h (x) for h ≥ 0 , which arises in the study of binary trees. For a wide class of similar sequences a general distribution law for the coefficients y h,n...

The problem of summing a set of mutual recurrence relations with constant coefficients is investigated. A method is presented for summing an order d system of the form A(n) = ∑d i=1 MiA(n − i) + G(n), where A,G : N → K and M1, . . . ,Md ∈ Mm(K) for some field K and natural number m. The procedure expresses the sum ∑n i=0 A(i) in terms of A(n), . . . , A(n− d), initial conditions and sums of the...

with given a, b, t0, t1 and n ≥ 0. This sequence was introduced by Horadam [3] in 1965, and it generalizes many sequences (see [1, 4]). Examples of such sequences are Fibonacci polynomials sequence (Fn(x))n≥0, Lucas polynomials sequence (Ln(x))n≥0, and Pell polynomials sequence (Pn(x))n≥0, when one has a = x, b = t1 = 1, t0 = 0; a = t1 = x, b = 1, t0 = 2; and a = 2x, b = t1 = 1, t0 = 0; respect...

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 shall give some intriguing applications of the theory of circulants—the circulant matrices—and that of linear recurrence sequences (LRS). The applications of the former in §2 ranges from a simple derivation of the Blahut theorem to the energy levels of hydrogen atoms in circular hydrocarbons, where the Blahut theorem is to the effect that the Hamming weight of a code is equal to the rank of ...

Finite entropy thermal systems undergo Poincaré recurrences. In the context of field theory, this implies that at finite temperature, timelike two-point functions will be quasi-periodic. In this note we attempt to reproduce this behavior using the AdS/CFT correspondence by studying the correlator of a massive scalar field in the bulk. We evaluate the correlator by summing over all the SL(2, Z) ...

Sarcomas are malignant tumors that arise from the connective tissue. Soft tissue is part of and includes fat, muscle, nerves, tendons, blood lymph vessels. sarcomas (STS) account for 1 percent all adult cancers in U.S. Leiomyosarcoma (LMS) a type STS grows smooth muscles. LMS accounts 7-11% cases STS. Generally, treated with wide margin surgical resection some patients offered radiation and/or ...

in order to the enhancement of the quality of speech corrupted by additive noise, a speech enhancement method has been put forward based on the combination of spectral subtraction and binary masking. spectral subtraction is a powerful method for removing noise from speech and binary masking provides essential elements to be used in monaural speech segregation. in the proposed combined method, f...

BACKGROUND Catheter ablation of atrial fibrillation (AF) has proved effective in curing highly symptomatic patients with paroxysmal AF. The aim of this prospective, randomized study was to identify the optimal treatment of patients with AF recurrences after the first ablation. METHODS AND RESULTS Two hundred eighty-six patients with paroxysmal AF underwent ablation (circumferential pulmonary ...