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An Introduction to Rigid Analytic Geometry
, M.Sc. Thesis Sharif University of Technology ; Rastegar, Arash (Supervisor)
Abstract
Rigid analytic geometry was developed by John Tate in 1971. Although it seems that a rigid analytic spaces on non-Archimedean field F, is like something called F-analytic manifold; however in general these two are distinct concepts.
In this thesis; we introduce rigid analytic spaces. It begins in chapter one by non-Archimedean fields. In this chapter also contains theorem 1-3-7; which there is no proof for it without usage of methods of this chapter; up to the present. Topics discussed in this chapter are interesting subjects of other applica¬tions of non-Archimedean fields. There is a visualization of the field Q_p; and an appendix includes some definitions and consequences of ordered...
In this thesis; we introduce rigid analytic spaces. It begins in chapter one by non-Archimedean fields. In this chapter also contains theorem 1-3-7; which there is no proof for it without usage of methods of this chapter; up to the present. Topics discussed in this chapter are interesting subjects of other applica¬tions of non-Archimedean fields. There is a visualization of the field Q_p; and an appendix includes some definitions and consequences of ordered...
Simulation of Mass Transfer in Cartilage Regeneration
, M.Sc. Thesis Sharif University of Technology ; Abd Khodaei, Mohammad Jafar (Supervisor)
Abstract
The in vivo cell culture process as the main part of tissue engineering was investigated through mathematical modelling and computational fluid dynamic (CFD) simulation of cartilage cell growth. Simulations can provideprocess insights for defining the optimum conditions in order to reach higher culture efficiency. In the mathematical modelling of the cell growth, it was intended to consider the most influencing factors such as biomass concentration, volume fraction, glucose concentration and shear stress levels. These results can be obtained mathematically by solving a set of partial differential equations coupling the glucose concentration, the velocity field and cell growth with each other....
Investigation of the Effect of Interleaved Memory on WCET in Real-Time Embedded System
, M.Sc. Thesis Sharif University of Technology ; Ejlali, Alireza (Supervisor)
Abstract
Worst case execution time (WCET) and energy consumption are two of the most important design constraints of real-time embedded systems and memory subsystem has a major impact on both of them. Therefore, many recent studies have tried to improve the memory subsystem of embedded systems by using emerging non-volatile memories instead of conventional memories such as SRAM and DRAM. Indeed, the low leakage power dissipation and improved density of emerging non-volatile memories, makes them prime candidates for replacing the conventional memories. However, accessing these memories imposes performance and energy overhead and using them as the code memory may increase the WCET.Furthermore, most...
Quantum Walk Application in Search Algorithms
, M.Sc. Thesis Sharif University of Technology ; Karimipour, Vahid (Supervisor)
Abstract
Providing an Algorithm whi? can solve the sear? problem using minimum resources(su? as time, memory and so on)has been ?allenged by computer science experts for many years. By discovering the quantum computer it can be asked that does the quantum algorithm provide a be?er solution to sear? problem? ?e answer is yes. In this thesis the grover’s algorithm, the quantum sear? algorithm using the quantum walk, probabilistic quantum sear? algorithm and finally the two-qubit grover sear? algorithm implementation in physical world will be discussed
A rewiring mechanism to improve synchronization in Kuramoto networks
, Article Journal of Statistical Mechanics: Theory and Experiment ; Volume 2022, Issue 11 , 2022 ; 17425468 (ISSN) ; Hesaam, B ; Sarbazi Azad, H ; Sharif University of Technology
Institute of Physics
2022
Abstract
The emergence of synchronization among a set of individual oscillators that are coupled in a network is an amazing physical phenomenon that appears in many different systems, from natural sciences to even human behavior. The phenomenon has attracted the attention of many researchers in many fields of science and engineering by the science behind its unique collective behavior without some kind of external organization. One of the most popular models for the dynamical evolution of coupled phase oscillators is the Kuramoto model, which gives a simple yet powerful formalization together with a numerical measure called the degree of synchronization. The crucial role of structural properties of...
Dominating coloring number of claw-free graphs
, Article Electronic Notes in Discrete Mathematics ; Vol. 45, issue , January , 2014 , pp. 91-97 ; ISSN: 15710653 ; Akbari, S ; Hossein Ghorban, S ; Qajar, S ; Sharif University of Technology
2014
Abstract
Let G be a graph. It is well-known that G contains a proper vertex-coloring with χ(G) colors with the property that at least one color class of the coloring is a dominating set in G. Among all such proper vertex-coloring of the vertices of G, a coloring with the maximum number of color classes that are dominating sets in G is called a dominating-χ-coloring of G. The number of color classes that are dominating sets in a dominating-χ-coloring of G is defined to be the dominating-χ-color number of G and is denoted by dχ(G). In this paper, we prove that if G is a claw-free graph with minimum degree at least two, then dχ(G)≥2
Modeling and Simulation of Vacuum Assisted Resin Transfer Molding Process with Flexible Tooling
, M.Sc. Thesis Sharif University of Technology ; Abedian, Ali (Supervisor)
Abstract
Resin Transfer Molding (RTM) which is one of the categories of Liquid Composite Molding (LCM) process, is considered as one of the most important process in polymer composite manufacturing. To improve this manufacturing method and reaching higher qualities, numerous modified methods has been developed. One of these modified methods is Vaccum Assisted Resin Trasnfer Molding with Flexible Tooling which is considerably applicable in manufacturing parts with high quality, large and complex geometry. Although, this manufacturing method has variety of advantages, there are some problems such as void formation making production difficult and dependent to experimental trial and error. So numerical...
Experimental Study of the Performance of Fuel System of Single-Tube Pulse Detonation Engine
, M.Sc. Thesis Sharif University of Technology ; Farshchi, Mohammad (Supervisor) ; Durali, Mohammad (Co-Advisor)
Abstract
Fuel system is one of the most important parts of pulse detonation engine which has the responsibility of fuel, oxidizer and also purge gas in the different operational frequencies of engine. Although pulse detonation engines are sort of air breathing engines and purge gas and oxidizer one in the same unit in their structure, due to existence idea in the pulse detonation rocket engines coverage of functional condition, fuel, oxidizer and purge gas, will study it in three different structures.
In this study purpose is improvement of the pulse detonation engine of Sharif University which will provide as the possibility of safe functional condition and high operational frequency in...
In this study purpose is improvement of the pulse detonation engine of Sharif University which will provide as the possibility of safe functional condition and high operational frequency in...
Quantitative Assessment of Parkinson Patient’s Health Improvement Using Kinect for Telerehabilitation
, M.Sc. Thesis Sharif University of Technology ; Behzadipour, Saeed (Supervisor) ; Taghizade, Ghorban (Co-Supervisor)
Abstract
Parkinson's disease is the most common progressive neurological disorder after Alzheimer, which is associated with motor disabilities. One of the most effective ways to improve patient’s condition with this disease, is rehabilitation.Assessment of the patient during rehabilitation is very important in order to give a better understanding of patient's status to the specialist, but qualitative assessment methods in traditional rehabilitation are ineffective in fast and accurate evaluation of the patient's condition; and because of their need for patient’s attendance in clinic, they will incur huge medical costs. Therefore, the purpose of the present study is to present a quantitative method to...
Balance Assessment in Parkinson Disease based on a Combination of Posturographic Indices
, M.Sc. Thesis Sharif University of Technology ; Behzadipour, Saeed (Supervisor) ; Taghizadeh, Ghorban (Supervisor)
Abstract
Parkinson's disease is a progressive neurodegenerative disease in which balance disorders are a common symptom. Clinical and non-clinical methods have been developed to evaluate the quality of maintaining balance. Clinical methods include questionnaires and tests that are scored by the therapist and therefore depend on the examiner's skill. On the other hand, there are biomechanical methods that do not depend on the therapist's skill. Posturography -based methods are among the biomechanical tests used today to assess balance. In these methods, some indicators are extracted from the patient's foot center of pressure that can measure the quality of balance. These studies usually examine the...
Linearization error in synchronization of Kuramoto oscillators
, Article Applied Mathematics and Computation ; Volume 411 , December , 2021 ; 00963003 (ISSN) ; Baharifard, F ; Hesaam, B ; Zarei, M ; Sarbazi Azad, H ; Sharif University of Technology
Elsevier Inc
2021
Abstract
Synchronization among a set of networked nodes has attracted much attention in different fields. This paper thoroughly investigates linear formulation of the Kuramoto model, with and without frustration, for an arbitrarily weighted undirected network where all nodes may have different intrinsic frequencies. We develop a mathematical framework to estimate errors of the linear approximation for globally and locally coupled networks. We mathematically prove that the eigenvector corresponding to the largest eigenvalue of the network's Laplacian matrix is enough for examining synchrony alignment and that the functionality of this vector depends on the corresponding eigenvalue. Moreover, we prove...
Classification of Pd Patients Based on the Quality of the Upper Extremity Movements Using a Combination of the Kinematic Indices
, M.Sc. Thesis Sharif University of Technology ; Behzadipour, Saeed (Supervisor) ; Taghizadeh, Ghorban (Supervisor)
Abstract
Parkinson's disease, after Alzheimer's, is the most important and common progressive neurodegenerative disorders. There are various methods for assessing the quality of patients’ movements. One of them is biomechanical methods. The application of these methods in telerehabilitation has been considered by many researchers. Telerehabilitation improves the efficiency of the therapists and reduces problems such as commute costs, traffic stress, and patient fatigue.In the present study, 21 Parkinson patients were treated and evaluated remotely using SANA system. This study aimed to investigate the effects of the therapist absence during the tele-assessment and its impact on the validity and...
Natural frequencies of C60, C70, and C80 fullerenes
, Article Applied Physics Letters ; Volume 96, Issue 2 , 2010 ; 00036951 (ISSN) ; Vafai, A ; Sharif University of Technology
2010
Abstract
This letter adopts an atomistic modeling approach to study free vibrational characteristics of C60, C70, and C80 fullerenes. In this regard, we use the molecular structural mechanics consisting of equivalent structural beams to calculate the nonzero natural frequencies. The simulation results indicate that the first natural frequency of the fullerene is in the order terahertz and decreases nonlinearly with respect to the number of the carbon atoms
A macroscopic traffic flow model that includes driver sensitivity to the number of free spaces ahead
, Article Transportmetrica B ; 2017 , Pages 1-17 ; 21680566 (ISSN) ; Nassiri, H ; Sharif University of Technology
2017
Abstract
This paper addresses the first-order extension of the Lighthill–Whitham– Richards (LWR) macroscopic traffic flow model. Although previous studies have focused on the fluid aspect of traffic flow, none have addressed the sensitivity of drivers to the number of free spaces within a certain distance ahead of the subject driver. To incorporate driver behavior, we used the number of free spaces ahead of subject drivers and their sensitivity to the number of free spaces within a certain distance ahead. The resulting model is a convection-diffusion model. By computing Einstein's diffusion equation and comparing it with the diffusion coefficient in the extended model, a theoretical relation for the...
A macroscopic traffic flow model that includes driver sensitivity to the number of free spaces ahead
, Article Transportmetrica B ; Volume 8, Issue 1 , 2020 , Pages 290-306 ; Nassiri, H ; Sharif University of Technology
Taylor and Francis Ltd
2020
Abstract
This paper addresses the first-order extension of the Lighthill–Whitham– Richards (LWR) macroscopic traffic flow model. Although previous studies have focused on the fluid aspect of traffic flow, none have addressed the sensitivity of drivers to the number of free spaces within a certain distance ahead of the subject driver. To incorporate driver behavior, we used the number of free spaces ahead of subject drivers and their sensitivity to the number of free spaces within a certain distance ahead. The resulting model is a convection-diffusion model. By computing Einstein's diffusion equation and comparing it with the diffusion coefficient in the extended model, a theoretical relation for the...
Ultra-broadband polarization-independent perfect absorber based on phase change material (Ge 2Sb 2Te 5 or GST) for the visible and infrared regions
, Article Optical and Quantum Electronics ; Volume 55, Issue 2 , 2023 ; 03068919 (ISSN) ; Arik, K ; Sharif University of Technology
Springer
2023
Abstract
Broadband optical absorbers are increasingly in demand in various applications, including solar cells and radiative cooling systems. Among various types of structures, absorbers based on metamaterial structures have attracted much attention. However, they generally suffer from the issues of narrow bandwidth, high-cost fabrication, and high sensitivity to polarization changes. This paper presents a broadband, polarization-independent metamaterial absorber working in both infrared and visible frequency regimes. This structure is composed of a continuous phase-change material film (Ge 2Sb 2Te 5) separated between two thin spacer layers of SiO 2, and an array of amorphous Silicon particles...
Prediction and Compensation of Intraoperative Brain Shift Using Biomechanical Modeling
, M.Sc. Thesis Sharif University of Technology ; Farahmand, Farzam (Supervisor)
Abstract
The human brain is the most sensitive and important human organ and surgery must be done with high precision and without risk. During surgery, brain tissue deform continuously due to gravity, out of the cerebrospinal fluid and the changing pressure of the cerebrospinal fluid and the surgical maneuvers. Because the surgeon has no direct view on brain internal, the ways to solve this problem is to pay attention. This method makes it possible to the surgeon see in the brain and the brain tissue deformation. This thesis method is based on biomechanical modeling. After forming finite element model from the pre-operative MRI, brain surface and volume datasets during surgery as a load, apply to the...
The Development of a Postural Control Model for People with Parkinson’s disease to Predict Rehabilitation Exercises Effects
, Ph.D. Dissertation Sharif University of Technology ; Behzadipour, Saeed (Supervisor) ; Firoozbakhsh, Keikhosrow (Supervisor) ; Taghizadeh, Ghorban (Co-Supervisor)
Abstract
Background: Parkinson’s disease (PD) patients seriously suffer from instability and impaired postural control. Rehabilitation exercises help them to recover their ability through long-term practical sessions. For designing optimal tasks in each session, and in agreement with each patient’s state, it is essential to employ computational models and approaches.Objective: The goal of this study is to develop a computational postural control model of Parkinson’s disease in order to provide new understanding of the postural control in PD, and to gain insight on the effect of balance trainings on PD (the learning dynamics), from the view of this model.Methods: In the first phase of this study, the...
Finite element model of SWCNT under hydrostatic pressure
, Article AIP Conference Proceedings, 10 April 2007 through 12 April 2007, Sharjah ; Volume 929 , 2007 , Pages 82-88 ; 0094243X (ISSN) ; 0735404399 (ISBN); 9780735404397 (ISBN) ; Ahmadian, M. T ; Sharif University of Technology
2007
Abstract
A finite element technique is used to mimic radial deformation of single-walled carbon nanotubes under hydrostatic pressure. The elastic deformation of nanotubes is modeled via elastic beams. Properties of the beam element are evaluated by considering characteristics of the covalent bonds between the carbon atoms in a hexagonal lattice. Applying the beam model in a three dimensional space, the elastic properties of the nanotube in the transverse direction are evaluated. The effects of diameter and wall thickness on the radial and circumferential elastic moduli of zigzag and armchair nanotubes are considered. Results are in good agreement with molecular structural mechanics data in the...
Deep learning-driven beamforming optimization for high-performance 5g planar antenna arrays
, Article 2023 13th International Conference on Computer and Knowledge Engineering, ICCKE 2023 ; 2023 , Pages 485-490 ; 979-835033015-1 (ISBN) ; Razavi Pour, S. R ; Sharif University of Technology
Institute of Electrical and Electronics Engineers Inc
2023
Abstract
The ability of 5G wireless communication networks to effectively and simultaneously interact with incoming signals is made possible by antenna arrays, which play a vital role in assisting the functioning of 5G wireless communication networks. The utilization of beamforming enables the enhancement of signal strength, expansion of coverage area, and reduction of interference, thereby optimizing the performance of the communication networks. This paper introduces a deep learning approach that utilizes a deep neural network (DNN). This approach establishes an appropriate framework to implement beamforming for planar antenna arrays. The DNN utilizes the desired radiation pattern as an input to...