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Sandor 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.2
Let ƥ(n), σ(n) resp. d(n) denote the classical arithmetic functions representing Euler's totient, the sum of divisors, resp. the number of divisors of n: In this note we offer improvements of the Bagchi{Gupta inequality σ(n) ≥ ƥ(n) + d(n); resp the Makowski inequality nd(n) ≥ƥ(n) + σ(n):
Recent Trends in Elevator Group Control Systems
Sandor Markon,Ken’ichi Aoki,Masami Nakagawa,Takeshi Sudo 대한전자공학회 2008 ITC-CSCC :International Technical Conference on Ci Vol.2008 No.7
The latest elevator systems have structural differences from traditional systems, such as the use of destination calls, or multiple cars in the same hoistway. This requires the development of new elevator group control systems, which is best done by adopting modern soft-computing methods. We review some of these systems and the results of research so far, and suggest further directions of research.
Bifurcations in a human migration model of Scheurle-Seydel type--II: Rotating waves,
Sandor Kovacs 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.16 No.-
This paper treats the conditions for the existence of rotating wave solutions of a system modelling the behavior of students in graduate programs at neighbouring universities near each other which is a modified form of the model proposed by Scheurle and Seydel. We assume that both types of individuals are continuously distributed throughout a bounded two-dimension spatial domain of two types (circle and annulus), across whose boundaries there is no migration, and which simultaneously undergo simple (Fickian) diffusion. We will show that at a critical value of a systemparameter bifurcation takes place: a rotating wave solution arises.
Aspirin resistance as cardiovascular risk after kidney transplantation
Sandor, Barbara,Varga, Adam,Rabai, Miklos,Toth, Andras,Papp, Judit,Toth, Kalman,Szakaly, Peter 한국유변학회 2014 Korea-Australia rheology journal Vol.26 No.2
International surveys have shown that the leading cause of death after kidney transplantation has cardiovascular origin with a prevalence of 35-40%. As a preventive strategy these patients receive aspirin (ASA) therapy, even though their rate of aspirin resistance is still unknown. In our study, platelet aggregation measurements were performed between 2009 and 2012 investigating the laboratory effect of low-dose aspirin (100 mg) treatment using a CARAT TX4 optical aggregometer. ASA therapy was considered clinically effective in case of low (i.e., below 40%) epinephrine-induced ($10{\mu}M$) platelet aggregation index. Rate of aspirin resistance, morbidity and mortality data of kidney transplanted patients (n = 255, mean age: $49{\pm}12$ years) were compared to a patient population with cardio- and cerebrovascular diseases (n = 346, mean age: $52.6{\pm}11$ years). Rate of aspirin resistance was significantly higher in the renal transplantation group (RT) compared to the positive control group (PC) (35.9% vs. 25.6%, p < 0.002). Morbidity analysis demonstrated significantly higher incidence of myocardial infarction, hypertension and diabetes mellitus in the RT group (p < 0.05). The subgroup analysis revealed significantly higher incidence of infarction and stroke in the ASA resistant RT group compared to the RT patients without ASA resistance (p < 0.05). Furthermore, the incidence of myocardial infarction and hypertension was significantly higher in the non-resistant RT group than in the group of PC patients without ASA resistance (p < 0.05). These results may suggest that the elevated rate of aspirin resistance contributes to the high cardiovascular mortality after kidney transplantation.
SPATIAL INHOMOGENITY DUE TO TURING BIFURCATION IN A SYSTEM OF GIERER-MEINHARDT TYPE
Sandor, Kovacs 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.11 No.1
This paper treats the conditions for the existence and stability properties of stationary solutions of reaction-diffusion equations of Gierer-Meinhardt type, subject to Neumann boundary data. The domains in which diffusion takes place are of three types: a regular hexagon, a rectangle and an isosceles rectangular triangle. Considering one of the relevant features of the domains as a bifurcation parameter it will be shown that at a certain critical value a diffusion driven instability occurs and Turing bifurcation takes place: a pattern emerges.