Sharif Digital Repository

Fuzzy dark matter ( FDM ) or wave dark matter is an alternative theory designed to solve small-scale problems faced by the standard cold dark matter, such as the missing satellites problem, core cusp problem, and too big to fail problem. FDM is made up of ultra-light ax- ions having mass 10−22eV that typically have de Broglie wavelength of several kpc, so in small-scales behave like a wave. For this thesis, I aim to explore how the sub-halo structure and its features change with FDM particles masses which may be able to solve small-scale problems. We derived the halo mass function for FDM by solving the excursion set problem with a mass-dependent barrier func- tion; then, we compared the... 

MIMO radar is a next generation radar which transmits arbitrary waveforms at each one of its apertures. It has been shown that design of waveforms for MIMO radars in order to synthesize a desired spatial beampattern, is mapped into a waveform correlation matrix (R) design in the narrowband case. Therefore, waveform design in MIMO radar for beamforming could be broken into two steps, namely correlation matrix design and waveform synthesis for achieving given R. As of now, given a desired beampattern or estimated location information of targets, calculating R has been modeled as an optimization problem like SDP. Also, in some special cases like rectangular beampattern, close form solutions for... 

In this thesis, we simulate the competition between some investment strategies based on dividends with each other and with mean-variance strategy (Markowitz) in an evolutionary finance framework. We perform simulations by two different approaches. In the first one, we use real dividend data and, in the second one we use dividends that are generated according to a dividend factor model. The dividend factor model which relates the dividends to the macro-economic factors is estimated from data using principal component analysis. Our simulations show that in this competition, the evolutionary portfolio rule will eventually hold the total market wealth. According to this simple rule the portfolio... 

In the industry, there are nonlinear processes that can not be controlled with classical methods. Also, there are many processes that are more than one controlled variable that with classical methods, the design of a multiple input - multiple output controler is very difficult for them as well as the constraints on the inputs and outputs of the process exist, using classical controllers will be far more difficult. A model-based predictive control method for controlling nonlinear processes is useful in addition to having very high efficiency, extended to multi-mode interference together with constraints on the control variables and other controlled Problem with dynamic properties such as... 

One of the most important parts of the human’s body is spine. Its anatomy is very complex and has many degrees off freedom. Many kinds of diseases might occur for this part. One of the ways of treatment for this part is surgery that it has different types. In the past decades the surgeries have been done very simple without the help of computers or robots. In other words the surgeon did the surgery with no use of lateral tools. For this reason the error in those surgeries was high. Doing a surgery on the spine level needs a special attention. As the technology improved very much in the last 2 decades the amount of errors has been reduced and various kinds of techniques came in the scene to... 

Economical strategy of developed countries imposes to improve energy efficiency and a rational renewable energies usage in the buildings. Ground source heat pumps are one of the most important tools in the way moving toward this goal. This study focuses on studying the effect of applying different refrigerants in the direct expansion ground source heat exchangers. In order to compare the performance of the ground source heat pumps using different refrigerants, a specific methodology is presented and implemented. First on this study, the thermal performance of a geothermal borehole filled with both CO2 and a zeotropic mixture of CO2 and R32 (20/80) is studied and the quality, temperature, and... 

Organ-on-chip microfluidic devices create a three-dimensional and dynamic model that allows researchers to model diseases and test different drug candidates. In this regard, using a lung-on-a-chip microfluidic device, Covid-19 disease was numerically modeled. Initially, the distribution of oxygen concentration in the blood and respiratory membrane in the healthy state; when the respiratory membrane is the only barrier between air and blood; was found and observed that in this case, the length that the blood had to travel to reach full saturation was the same in the alveolar capillaries and the lung-on-a-chip microdevice. Then, to simulate the different phases of the disease, the formation of...