Sharif Digital Repository

In this thesis, we first define the pseudo-distance p on the group of Hamiltonian diffeomorphisms.Using the concept of displacement energy, we show that the pseudo-distance p is degenerate and if the manifold is closed, p will be zero for each p = 1; 2; 3; : : : Then, we introduce Lagrangian submanifolds and prove that if L R2n is a rational Lagrangian submanifold, we have the following inequality e(L) ≥ 1γ(L). : Finally, using the above inequality and the concept of displacement energy, for M = R2n we prove that 1 is non-degenerate. Therefore, the hypothesis for 1 to be a metric, are satisfied. This metric is called Hofer’s metric  

For measuring damping capacity of shape memory alloy, samples containing Fe- 27Mn-6Si-4Cr-4Ni were prepared. In order to produce the alloy 99% pure elemental powders were mixed and pressed in a matrix rod. The packed powders put in 15cc alumina crucibles were held in a 200 °C oven for 10 hours before they were melted inside two–layered alumina and graphite grucible an induction furnace. Resulting samples went under hot and cold rolling, thermomechanical treatment and were shaped into strips by wirecut. Chemical composition ascertainment, Tensile, bending, differential scanning calorimetry (DSC), micro hardness and modal tests were operated. Microstructural investigation was done using... 

In the present study, the electrochemical oxidation process was introduced as a green process for complete degradation and removal of non-biodegradable pollutants from aquatic environments and effluents of various industries without the need to use chemicals and toxins. Research stages include comprehensive preliminary studies in the field of electrochemistry and wastewater treatment, software design of electro-oxidation reactor using titanium mesh anode and stainless steel cathode mesh inside a body made of polypropylene, designed cell construction and then evaluation of device performance in polluting environment Are different. In software simulation using COMSOL MULTIPHYSICS software, it... 

Blood is the most important liquid in human body. Red blood cells (RBCs) are the main part of blood. RBCs are rounded, but this shape would be changed during different disease. Blood tests taken to diagnose blood diseases. Current instruments do not provide any information about RBCs morphology, and an expert recognize the RBCs morphology by looking at blood smear under microscope. Regards to low accuracy and performance of this method, an automate method must be presented. Capturing images from blood smear under microscope is simple and low-cost. Although there is few methods on RBCs detection and very limited one on RBCs recognition on the literature, no general method to recognize most of... 

We introduce a refinement of the Ozsváth-Szabó complex associated by Juhász [8] to a balanced sutured manifold (X; ). An algebra A is associated to the boundary of a sutured manifold. For a fixed class s of a Spinc structure over the manifold X, which is obtained from X by filling out the sutures, the Ozsváth-Szabó chain complex CF(X; ; s) is then defined as a chain complex with coefficients in A and filtered by the relative Spinc classes in Spinc(X; ). The filtered chain homotopy type of this chain complex is an invariant of (X; ) and the Spinc class s 2 Spinc(X). The construction generalizes the construction of Juhász. It plays the role of CF (X; s) when X is a closed three-manifold,... 

In this research energy and exergy Balance has been studied for a turbocharged three-cylinder engine. Energy balance is a method based on the first law of thermodynamics and based on this method the control volume is selected on the engine and the input and output energies of the control volume are calculated. Exergy balance is also a method based on the second law of thermodynamics which achieves the amount of irreversibility and ability to convert useful work for different energies in the control volume. In the tests performed, the net output power, output exhaust energy, energy transferred to the cooling fluid and other energies, including convection and radiation heat transfer from the... 

Suppose that K and K^' are knots inside the homology spheres Y and Y^', respectively. Let X=Y(K,K^') be the 3-manifold obtained by splicing the complements of K and K^' and Z be the three-manifold obtained by 0-surgery on K. When Y^' is an L-space, we use Eftekhary's splicing formula to show that the rank of (HF) ̂(X) is bounded below by the rank of (HF) ̂(Y) if τ_(K^' )=0 and is bounded below by rank((HF) ̂(Z))-2 rank((HF) ̂(Y))+1 if τ_(K^' )≠0.
 

In this thesis, we study a homological invariant in Knot theory, called Khovanov homology. The main property of this invariants is that it gives us the Jones polynomial, as its graded Euler characteristic. Besides, the functor (1+1) TQFT, from the category of closed one-manifolds to the category of vector spaces is employed in its construction. By making some changes to this functor and defining another functor and some other steps, the so-called Lee spectral sequence is derived which starts from Khovanov homology and converges to another homological invariant of links, called Lee-Khovanov homology. Computation of this homology is very simple. By using this spectral sequence, a numerical... 

Recently Infrared imaging has been very much considered for its applications.and because the infrared wavelengths are harmless, considered in medical and industrial applications. the imaging system examined in this thesis is passive and the object's own radiation is received by a single-pixel detector, these images are taken by two superconducting sensors and a pyroelectric Sensor. the purpose of this thesis is to improve the quality of images And reconstruction for the resulting images and if possible, optimize the system. to improve this system, various work has been proposed and done. including parabolic mirror distortion survey available in the system and compensated for it, take a...