Path integrals on manifolds by finite dimensional approximation

Let M be a compact Riemannian manifold without boundary and let H be a self-adjoint generalized Laplace operator acting on sections in a bundle over M. We give a path integral formula for the solution to the corresponding heat equation. This is based on approximating path space by finite dimensional spaces of geodesic polygons. We also show a uniform convergence result for the heat kernels. This yields a simple and natural proof for the Hess-Schrader-Uhlenbrock estimate and a path integral formula for the trace of the heat operator.Comment: 23 page

Transformer models for electromagnetic transient studies with particular reference to HVdc transmission.

In this thesis a formulation for incorporating general magnetic equivalent circuits in electromagnetic transient programs is presented. The formulation is applied to create new single-phase, and the first three-limb three-phase PSCAD-EMTDC program transformer models. The new models proposed are validated with laboratory, factory, and field data. Problems associated with magnetically independent phase representations of three-limb three-phase transformers are discussed. Considerable differences are shown in the behaviour of three-phase bank and three-limb three-phase transformers, particularly for the case of in-rush studies. The new transformer models arc applied to: the first intervalidation of the Harmonic Domain Analysis program with the widely accepted PSCAD-EMTDC program, investigating the division of magnetising current harmonics between transformer windings, and the development of a new means to reduce HVdc converter dc side harmonics; the smoothing transformer. The first set of field measurements from a group connected generator HVdc converter station are presented. A PSCAD-EMTDC model for the group connection is validated with the field data and used to investigate the transient behaviour of three-phase bank and three-limb three-phase converter transformers. Considerable differences are shown in the case of a single-phase ground fault

Проект парогазовой ТЭЦ с противодавленческими турбинами

Дипломный проект 86страниц, 5рисунков, 10таблиц, 10 источников, 1 приложение, 7 листов графического материала, ТЕПЛОВАЯ СХЕМА, ПАРОГАЗОВАЯ УСТАНОВКА, КОТЕЛ-УТИЛИЗАТОР, ПАРОВАЯ ТУРБИНА СХЕМА КИП и А. Объектом исследования является парогазовый энергоблок. Цель работы – проект парогазового энергоблока. В процессе работы выполнен расчет тепловой схемы расчетный для проектирования отопления режим. режим, проектирование котла-утилизатора, технико-экономические расчеты. В результате выполнения работы показаны преимущества парогазового энергоблока на базе высокотемпературной газотурбинной установки SGT-800, проект позволяет повысить КПД энергоблока в сравнении с традиционными паросиловыми установками. Технико-экономические расчеты показали быструю окупаемость проекта и низкую себестоимость электроэнергии. Пояснительная записка выполнена в текстовом редакторе Microsoft Of- fice Word 2007, чертежи в графических редакторах Компас.Graduation project 86stranits, 5risunkov, 10tablits 10 sources 1 annex, 7 sheets of graphic material, Thermal circuit, combined cycle gas turbine, heat recovery boiler, steam turbine and instrumentation A. SCHEME The object of the research is combined-cycle unit. Objective - combined cycle power project. In the process, calculated the thermal circuit current mode for heating design. mode, design recovery boiler, technical and economic calculations. As a result of the work shows the benefits of combined cycle gas turbine power on the basis of high-temperature gas turbine SGT-800 installation, the project improves the power efficiency compared to conventional steam power plants. Technical and economic calculations have shown a rapid return on the project and the low cost of electricity. The explanatory note is made in the text editor Microsoft Of- fice Word 2007 drawing in the graphic editors Compass

Управление запасами на предприятии

Выпускная квалификационная работа содержит 92 страниц, 14 рисунков, 25 таблицы, 20 использованных источников. Объектом исследования является: материальные запасы предприятия. Цель работа - разобраться в структуре складских запасов на предприятии ООО «МИР КРЕПЕЖА», для обеспечения полного контроля товарно-материальных запасов, реализации детального оперативного учёта ТМЦ, для минимизации их на предприятии с целью повышения эффективного функционирования, управление запасами на предприятии, исследование выборки основных поставщиков, выбор лучшего поставщика. В процессе исследования проводились: анализ управления запасами, группировка материальных запасов, дифференцирование ассортимента методом АВС анализа, оценка поставщиков методом взвешивания, графическим методом и методом нормализации критериев. В результате исследования: выявлена проблема логистики складских запасов, выбран лучший поставщик. Основные конструктивные, технологические и технико-эксплуатационные характеристики: эффективное распределение ресурсов организации, более эффективное хранение складских запасов.Final qualification work contains 92 pages, 14 drawings, the 25th tables, 20 used sources. Object of research is: material stocks of the enterprise. Aim work - to understand structure of warehouse stocks at the LLC MIR KREPEZHA enterprise, for providing complete control of inventory holdings, implementation of the detailed operational accounting of TMTs, for their minimization at the enterprise for the purpose of increase of effective functioning, stockpile management at the enterprise, research of selection of the main suppliers, the choice of the best supplier. In the course of research were carried out: analysis of stockpile management, group of material stocks, differentiation of the range by the ABC analysis method, assessment of suppliers by a weighing method, by a graphic method and by method of normalization of criteria. As a result of research: the problem of logistics of warehouse stocks is revealed, the best supplier is chosen. Main constructive, technical and technical and operational characteristics: effective distribution of resources of the organization, more effective storage of warehouse stocks

Chiral Asymmetry and the Spectral Action

We consider orthogonal connections with arbitrary torsion on compact Riemannian manifolds. For the induced Dirac operators, twisted Dirac operators and Dirac operators of Chamseddine-Connes type we compute the spectral action. In addition to the Einstein-Hilbert action and the bosonic part of the Standard Model Lagrangian we find the Holst term from Loop Quantum Gravity, a coupling of the Holst term to the scalar curvature and a prediction for the value of the Barbero-Immirzi parameter

Beyond Einstein-Cartan gravity: Quadratic torsion and curvature invariants with even and odd parity including all boundary terms

Recently, gravitational gauge theories with torsion have been discussed by an increasing number of authors from a classical as well as from a quantum field theoretical point of view. The Einstein-Cartan(-Sciama-Kibble) Lagrangian has been enriched by the parity odd pseudoscalar curvature (Hojman, Mukku, and Sayed) and by torsion square and curvature square pieces, likewise of even and odd parity. (i) We show that the inverse of the so-called Barbero-Immirzi parameter multiplying the pseudoscalar curvature, because of the topological Nieh-Yan form, can only be appropriately discussed if torsion square pieces are included. (ii) The quadratic gauge Lagrangian with both parities, proposed by Obukhov et al. and Baekler et al., emerges also in the framework of Diakonov et al.(2011). We establish the exact relations between both approaches by applying the topological Euler and Pontryagin forms in a Riemann-Cartan space expressed for the first time in terms of irreducible pieces of the curvature tensor. (iii) Only in a Riemann-Cartan spacetime, that is, in a spacetime with torsion, parity violating terms can be brought into the gravitational Lagrangian in a straightforward and natural way. Accordingly, Riemann-Cartan spacetime is a natural habitat for chiral fermionic matter fields.Comment: 12 page latex, as version 2 an old file was submitted by mistake, this is now the real corrected fil

The Spectral Action for Dirac Operators with skew-symmetric Torsion

We derive a formula for the gravitational part of the spectral action for Dirac operators on 4-dimensional manifolds with totally anti-symmetric torsion. We find that the torsion becomes dynamical and couples to the traceless part of the Riemann curvature tensor. Finally we deduce the Lagrangian for the Standard Model of particle physics in presence of torsion from the Chamseddine-Connes Dirac operator.Comment: Longer introduction and conclusion adde

The Holst Action by the Spectral Action Principle

We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst action can be recovered from the heat asymptotics for the natural Dirac operator acting on left-handed spinor fields.Comment: We correct a sign mistake in Proposition 2.3. As a consequence the main result (Theorem 3.4) becomes more natura

Defective minor spliceosome mRNA processing results in isolated familial growth hormone deficiency

The molecular basis of a significant number of cases of isolated growth hormone deficiency remains unknown. We describe three sisters affected with severe isolated growth hormone deficiency and pituitary hypoplasia caused by biallelic mutations in the RNPC3 gene, which codes for a minor spliceosome protein required for U11/U12 small nuclear ribonucleoprotein (snRNP) formation and splicing of U12-type introns. We found anomalies in U11/U12 di-snRNP formation and in splicing of multiple U12-type introns in patient cells. Defective transcripts include preprohormone convertases SPCS2 and SPCS3 and actin-related ARPC5L genes, which are candidates for the somatotroph-restricted dysfunction. The reported novel mechanism for familial growth hormone deficiency demonstrates that general mRNA processing defects of the minor spliceosome can lead to very narrow tissue-specific consequences.Peer reviewe

The spectral action and cosmic topology

The spectral action functional, considered as a model of gravity coupled to matter, provides, in its non-perturbative form, a slow-roll potential for inflation, whose form and corresponding slow-roll parameters can be sensitive to the underlying cosmic topology. We explicitly compute the non-perturbative spectral action for some of the main candidates for cosmic topologies, namely the quaternionic space, the Poincare' dodecahedral space, and the flat tori. We compute the corresponding slow-roll parameters and see we check that the resulting inflation model behaves in the same way as for a simply-connected spherical topology in the case of the quaternionic space and the Poincare' homology sphere, while it behaves differently in the case of the flat tori. We add an appendix with a discussion of the case of lens spaces.Comment: 55 pages, LaTe