Although relativistic physics tend to omit nondynamical "absolute objects" such as a flat metric tensor or a preferred time foliation, there exist interesting questions related to such entities, such as worries about the "flow" of time in special relativity, and the apparent disappearance of time altogether in canonical general relativity. This latter problem is related to the lack of a fixed causal structure with repect to which one might posit "equal-time" commutation relations, for example. In view of these issues, we consider whether including a flat background metric, and perhaps a preferred foliation, is physically worthwhile. We show how a derivation of Einstein's equations from flat spacetime can be generalized to include a preferred foliation, the possible significance of which we discuss, though ultimately we suggest why such a foliation might be present in metaphysics and yet absent from physics. We also derive a new "slightly bimetric" class of theories using the flat spacetime approach. However, such derivations are only formally special relativistic, because they give no heed to the flat metric's causal structure, which the curved effective metric might well violate. After reviewing the history of this problem, we introduce new variables to give a kinematic description of the relation between the two null cones. Then we propose a method to enforce special relativistic causality by using the guage freedom to restrict the configuration space suitably. Consequences for exact solutions, such as the Schwarzschild solution and its 'singularity,' are discussed. Advantages and difficulties regarding adding a mass term to the theory are discussed briefly. / text

When many people think of fractals, they think of the beautiful images created by Mandelbrot’s set or the intricate dragons of Julia’s set. However, these are just the artistic stars of the fractal community. The theory behind the fractals is not necessarily pretty, but is very important to many areas outside the world of mathematics. This paper takes a closer look at various types of fractals, the fractal dimensionality of surfaces and chaotic dynamical systems. Some of the history and introduction of creating fractals is discussed. The tools used to prevent a modified Koch’s curve from overlapping itself, finding the limit of a curves length and solving for a surfaces dimensional measurement are explored. Lastly, an investigation of the theories of chaos and how they bring order into what initially appears to be random and unpredictable is presented. The practical purposes and uses of fractals throughout are also discussed. / text

Infrared cameras can directly measure the apparent temperature of objects, providing thermal imaging. However, the raw output from most infrared cameras suffers from a strong, often limiting noise source called nonuniformity. Manufacturing imperfections in infrared focal planes lead to high pixel-to-pixel sensitivity to electronic bias, focal plane temperature, and other effects. In turn, different pixels within the focal plane array give a drastically different electronic response to the same irradiance. The resulting imagery can only provide useful thermal imaging after a nonuniformity calibration has been performed. Traditionally, these calibrations are performed by momentarily blocking the field of view with a flat temperature plate or blackbody cavity. However because the pattern is a coupling of manufactured sensitivities with operational variations, periodic recalibration is required, sometimes on the order of tens of seconds. A class of computational methods called Scene-Based Nonuniformity Correction (SBNUC) has been researched for over 20 years where the nonuniformity calibration is estimated in digital processing by analysis of the video stream in the presence of camera motion. The most sophisticated SBNUC methods can completely and robustly eliminate the high-spatial frequency component of nonuniformity with only an initial reference calibration or potentially no physical calibration. I will demonstrate a novel algorithm that advances these SBNUC techniques to support all spatial frequencies of nonuniformity correction. Long-wave infrared microgrid polarimeters are a class of camera that incorporate a microscale per-pixel wire-grid polarizer directly affixed to each pixel of the focal plane. These cameras have the capability of simultaneously measuring thermal imagery and polarization in a robust integrated package with no moving parts. I will describe the necessary adaptations of my SBNUC method to operate on this class of sensor as well as demonstrate SBNUC performance in LWIR polarimetry video collected on the UA mall.

Syftet med denna uppsats är att undersöka om de som är sjukskrivna med diagnosen psykisk sjukdom reagerar annorlunda vid ersättningsförändringen i sjukförsäkringen år 1998 jämfört med övriga sjukskrivna. I detta syfte har vi tillämpat två Fixed effects modeller på paneldata över en fyraårsperiod, 1996 till 1999, som innefattar Sveriges län. Som approximation på andelen med psykisk sjukdom bland de sjukskrivna har vi använt Apotekets statistik över konsumtionen av antidepressiva medel och sömn- och lugnande medel. Under förutsättning att läkemedelskonsumtion är en god approximation för andelen med psykisk sjukdom i länen. Får vi ett statistisk signifikant resultat som tyder på att andelen med psykisk sjukdom bland de sjukskrivna reagerar mindre positivt på ersättningsförändringen år 1998 jämfört med övriga sjukskrivna.

Decisions regarding the mapping of system-on-chip (SoC) components onto a NoC become more difficult with increasing complexity of system design. These complex systems capable of providing multiple functionalities tend to operate in multiple modes of operation. Modeling the system communication in these multimodes aids in efficient system design. This research provides a heuristic that gives a flexible mapping solution of the multimode system communications onto the NoC topology of choice. The solution specifies the immediate neighbors of the SoC components and the routes taken by all communications in the system. We validate the mapping results with a network-on-chip simulator (NoCSim). This thesis also investigates the cost associated with the interfacing of the components to the NoC. With the goal of reducing communication latency, we examine the packetization strategies in the NoC communication. Three schemes of implementations were analyzed, and the costs in terms of latency, and area were projected through actual synthesis.

This thesis provides a discussion on some analytical and empirical models of online auctions. The objective is to provide an alternative framework for analyzing online auctions, and to characterize the distribution of intermediate prices. Chapter 1 provides a mathematical formulation of the eBay auction format and background to the data used in the empirical analysis. Chapter 2 analyzes policies for optimally disposing inventory using online auctions. It is assumed a seller has a fixed number of items to sell using a sequence of, possibly overlapping, single-item auctions. The decision the seller must make is when to start each auction. The decision involves a trade-off between a holding cost for each period an item remains unsold, and a cannibalization effect among competing auctions. Consequently the seller must trade-off the expected marginal gain for the ongoing auctions with the expected marginal cost of the unreleased items by further deferring their release. The problem is formulated as a discrete time Markov Decision Problem. Conditions are derived to ensure that the optimal release policy is a control limit policy in the current price of the ongoing auctions. Chapter 2 focuses on the two item case which has sufficient complexity to raise challenging questions. An underlying assumption in Chapter 2 is that the auction dynamics can be captured by a set of transition probabilities. Chapter 3 shows with two fixed bidding strategies how the transition probabilities can be derived for a given auction format and bidder arrival process. The two specific bidding strategies analyzed are when bidders bid: 1) a minimal increment, and 2) their true valuation. Chapters 4 and 5 provides empirical analyzes of 4,000 eBay auctions conducted by Dell. Chapter 4 provides a statistical model where over discrete time periods, prices of online auctions follow a zero-inflated gamma distribution. Chapter 5 provides an analysis of the 44,000 bids placed in the auctions, based on bids following a gamma distribution. Both models presented in Chapters 4 and 5 are based on conditional probabilities given the price and elapsed time of an auction, and certain parameters of the competing auctions. Chapter 6 concludes the thesis with a discussion of the main results and possible extensions.

Regulations and practical problems of accounting of fixed asset were analysed in the present paper; also, suggestions for solving the problems were presented and analysis of fixed asset in the period of three years was carried out on the example of JSC “Mintuva”. Definitions of fixed assets by Lithuanian and foreign authors, its classification’s meaning in accounting and peculiarities were analysed as well. Moreover, present legislations regulating accounting of fixed asset and their major changes were explored. Analysis of dynamics of the structure of fixed asset was carried out. Indexes of enterprise’s fixed asset’s turnover profitability were calculated, factors which had influenced their change were investigated; also, a prognosis of indexes for a period of three years was worked out. Recommendations on improvement of enterprise’s accounting of fixed asset and indexes of its analysis were presented.

The ePUMA architecture is a novel master-multi-SIMD DSP platform aimed at low-power computing, like for embedded or hand-held devices for example. It is both a configurable and scalable platform, designed for multimedia and communications. Numbers with both integer and fractional parts are often used in computers because many important algorithms make use of them, like signal and image processing for example. A good way of representing these types of numbers is with a floating-point representation. The ePUMA platform currently supports a fixed-point representation, so the goal of this thesis will be to implement twelve basic floating-point arithmetic operations and two conversion operations onto an already existing datapath, conforming as much as possible to the IEEE 754-2008 standard for floating-point representation. The implementation should be done at a low hardware and power consumption cost. The target frequency will be 500MHz. The implementation will be compared with dedicated DesignWare components and the implementation will also be compared with floating-point done in software in ePUMA. This thesis presents a solution that on average increases the VPE datapath hardware cost by 15% and the power consumption increases by 15% on average. Highest clock frequency with the solution is 473MHz. The target clock frequency of 500MHz is thus not achieved but considering the lack of register retiming in the synthesis step, 500MHz can most likely be reached with this design.

In recent decades, significant interest, based on physics and engineering applications, has developed on so-called anomalous diffusion processes that possess different spread functions with classical ones. The resulting differential equation whose fundamental solution matches this decay process is best modeled by an equation containing a fractional order derivative. This dissertation mainly focuses on some inverse problems for fractional diffusion equations. After some background introductions and preliminaries in Section 1 and 2, in the third section we consider our first inverse boundary problem. This is where an unknown boundary condition is to be determined from overposed data in a time- fractional diffusion equation. Based upon the fundamental solution in free space, we derive a representation for the unknown parameters as the solution of a nonlinear Volterra integral equation of second kind with a weakly singular kernel. We are able to make physically reasonable assumptions on our constraining functions (initial and given boundary values) to be able to prove a uniqueness and reconstruction result. This is achieved by an iterative process and is an immediate result of applying a certain fixed point theorem. Numerical examples are presented to illustrate the validity and effectiveness of the proposed method. In the fourth section a reaction-diffusion problem with an unknown nonlinear source function, which has to be determined from overposed data, is considered. A uniqueness result is proved and a numerical algorithm including convergence analysis under some physically reasonable assumptions is presented in the one-dimensional case. To show effectiveness of the proposed method, some results of numerical simulations are presented. In Section 5, we also attempted to reconstruct a nonlinear source in a heat equation from a number of known input sources. This represents a new research even for the case of classical diffusion and would be the first step in a solution method for the fractional diffusion case. While analytic work is still in progress on this problem, Newton and Quasi-Newton method are applied to show the feasibility of numerical reconstructions. In conclusion, the fractional diffusion equations have some different properties with the classical ones but there are some similarities between them. The classical tools like integral equations and fixed point theory still hold under slightly different assumptions. Inverse problems for fractional diffusion equations have applications in many engineering and physics areas such as material design, porous media. They are trickier than classical ones but there are also some advantages due to the mildly ill-conditioned singularity caused by the new kernel functions.

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