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746
Black Hole Entropy Function, Attractors and Precision Counting of Microstates
, 2007
"... In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy of a class of quarter BPS dyons in N = 4 supersymmetric strin ..."
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Cited by 324 (28 self)
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In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy of a class of quarter BPS dyons in N = 4 supersymmetric
Lecture Notes
"... Methods. The first part is introductory in nature and attempts to provide a basic review of concept, theories and application of computer programming. The C programming language will be used for demonstration. The second part focuses on how to develop, and use computer algorisms in solving numerical ..."
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numerical problems. COURSE OBJECTIVES: The first part of this course is intended to enable LEARNERS: To appreciate the importance of computer in solving numerical engineering problems, To understand the principles of programming and operation of computer To acquaint learners with the skill of planning
Lectures
"... Description: Advanced theory and techniques for the analysis of electromagnetic systems applied to electrical engineering problems. Advanced study of Maxwell’s Equations. Construction of solutions and study of the wave equation, with emphasis in propagation, scattering and radiation. Study of the el ..."
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Description: Advanced theory and techniques for the analysis of electromagnetic systems applied to electrical engineering problems. Advanced study of Maxwell’s Equations. Construction of solutions and study of the wave equation, with emphasis in propagation, scattering and radiation. Study
The Weiner Lecture Archives: An Ontology-Driven Interface for Viewing Synchronized Lectures and Notes
"... For several years, the lectures in our introductory Electrical Engineering and Computer Science (EECS) courses have been videotaped and webcast, mainly as an aid to students with time conflicts that prevent them from attending class. We present the Weiner Lecture Archives-- a project to identify, ar ..."
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For several years, the lectures in our introductory Electrical Engineering and Computer Science (EECS) courses have been videotaped and webcast, mainly as an aid to students with time conflicts that prevent them from attending class. We present the Weiner Lecture Archives-- a project to identify
Lecture Notes on Applied Stochastic Differential Equations
, 2014
"... The purpose of these notes is to provide an introduction to stochastic differential equations (SDEs) from an applied point of view. The main application described is Bayesian inference in SDE models, including Bayesian filtering, smoothing, and parameter estimation. However, we have also included so ..."
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some SDE examples aris-ing in physics and electrical engineering. Because the aim is in applications, much more emphasis is put into solution methods than to analysis of the theoretical prop-erties of the equations. From pedagogical point of view the purpose of these notes is to provide an intuitive
Lecture notes on Graph Theory
"... 2Graph theory is unanimously given a precise birthday: the solution to a then-famous problem concerning the traversability of seven bridges in the town of Königsberg in Eastern Prussia (now Kaliningrad, Russia). Problem 0.1. Is there a way to traverse all bridges of Königsberg in a single trip, wi ..."
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that electrical circuits can be represented as graphs and introduced methods from linear algebra in order to derive electrodynamical results. Both the theory of graphs and its applications have been much developed ever since. As one can expect from a field which is almost 300 years old, it is absolutely
). (Lecture Notes in Computer Science)
"... Abstract. The automatic recognition of symbols can be used to automatically convert scanned drawings into digital representations compatible with computer aided design software. We propose a novel approach to automatically recognize architectural and electrical symbols. The proposed method extends ..."
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Abstract. The automatic recognition of symbols can be used to automatically convert scanned drawings into digital representations compatible with computer aided design software. We propose a novel approach to automatically recognize architectural and electrical symbols. The proposed method extends
Class for Lecture Notes in Computational Science and Engineering
"... . This paragraph shall summarize the contents of the paper in short terms. 1 Fixed-Period Problems: The Sublinear Case With this chapter, the preliminaries are over, and we begin the search for periodic solutions . . . 1.1 Autonomous Systems In this section we will consider the case when the Hamil ..."
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the Hamiltonian H(x) . . . The General Case: Nontriviality. We assume that H is (A1 ; B1 )- subquadratic at infinity, for some constant . . . Notes and Comments. The first results on subharmonics were . . . Proposition 1. Assume H 0 (0) = 0 and H(0) = 0. Set . . . Proof (of proposition). Condition (8) means
Results 1 - 10
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746