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Generalized heat diffusion equations with variable coefficients and their fractalization from the Black-Scholes equation

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Communications in Theoretical Physics 2021年第5期73卷 10-17页

作者： Rami Ahmad EI-Nabulsi alireza khalili golmankhaneh Biomedical Device Innovation Center Shenzhen Technology University3002 Lantian RoadPingshan DistrictShenzhen518118China Research Center for Quantum Technology Faculty of ScienceChiang Mai UniversityChiang Mai50200Thailand Athens Institute for Education and Research Mathematics and Physics Divisions8 Valaoritou StreetKolonaki10671AthensGreece Department of Physics Urmia BranchIslamic Azad UniversityUrmiaIran

In this study,we prove that modified diffusion equations,including the generalized Burgers'equation with variable coefficients,can be derived from the Black-Scholes equation with a time-dependent parameter based on the propagator method known in quantum and statistical *** extension for the case of a local fractal derivative is also addressed and analyzed.

关键词： Black-Scholes equation heat kernels modified diffusion equations generalized Burger's equation fractal calculus

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A New Characterization of L_2(r) by Their Sylow Numbers

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Acta Mathematica Sinica,English Series 2015年第10期31卷 1593-1598页

作者： alireza khalili ASBOEI Department of Mathematics Farhangian University Department of Mathematics Buinzahra Branch Islamic Azad University

Let G be a finite centerless group, let π（G） be the set of prime divisors of the order of G, and let np（G） be the number of Sylow p-subgroups of G, that is, np（G） = ｜Sylp（G）｜. Set NS（G）：= ｜np（G）｜ p ∈ π（G）}. In this paper, we are investigating whether L2（r） is determined up to isomorphism by NS（L2（r）） when r is prime.

关键词： Finite group simple group Sylow subgroup

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Especial nurse call system for ICU patient<br>—Nurse call system

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Journal of Biomedical Science and Engineering 2013年第8期6卷 843-846页

作者： Soheila Mojdeh Mohammad Mehdi Nadi Kasra Gordiz Gholamreza khalili alireza Sadri Computer Engineering Student Islamic Azad University Khorasgan (Isfahan) Branch Isfahan Iran Department of Anesthesiology School of Medicine Isfahan University of Medical Sciences Isfahan Iran Electrical Engineering Isfahan University of Technology Isfahan Iran Medical Engineering School of Technology and Health KTH University Stockholm Sweden Nursing and Midwifery School Isfahan University of Medical Sciences Isfahan Iran

Introduction: The ring system is one of the devices that are necessary for patients in hospital. Patients can use it in emergencies and call nurses for help. Patients who have a tracheal tube cannot make the simplest requests, and they do not have verbal communication due to tracheal tube or tracheostomy tube. According to surveys, patients’ survival is 55.5% in intensive care unit (ICU). They experience severe stressful conditions. This project is designed to solve communicational problems for ICU patients. We have developed and successfully tested a new moveable “nurse call system” for ICU patient. Material Methods: this is an interventional study. Regarding the main goal of this project, it seems that the best design for “nurse call system” is horizontal panels. The Panel of device contains a touchable board, which consists of symbols that allow patients to select them despite of their physical limitation. When patient touches any symbol, the message will be sent and heard by the nurse and the patient as well, so the patient will be sure that the massages is received properly. A notepad device will be used on which patients are able to write too. It is finger touch, and has virtual keywords in both Persian and English alphabets. The voice messages and other data will be transmitted to the computer in central nurse station by a wireless accesses point. In this study, we evaluated the viewpoint of nurses and patients who have used this device. Results: 40 questionnaires were distributed, but 30 cases were collected. Results showed that 26.7% (8 cases) were men, 73.3% (22 cases) women. 26.7% (23 cases) were nurses, 6.7% (2 cases) doctor, 6.7% (2 cases) nurse assistant. 33.3% (9 cases) were in the morning shift, 66.7% (21 cases) worked in other shifts. About patient 60% (6 cases) were men, 40% (4 cases) women and in 98% comments were completely compliant and device was full consent. Conclusion: The Nurse Call system caused patients’ satisfaction. In addition, this de

关键词： ICU Patient Nurse Call System

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