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Bioinformatics: Sequence and Genome Analysis |
Posted on 2008-04-19
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Contents:
1 Historical Introduction and Overview
2 Collecting and Storing Sequences in the Laboratory
3 Alignment of Pairs of Sequences
4 Multiple Sequence Alignment
5 Prediction of RNA Secondary Structure
6 Phylogenetic Prediction
7 Database Searching for Similar Sequences
8 Gene Prediction
9 Protein Clasisfication and Structure Prediction
10 Genome Analysis
Glossary. . . . . |
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Evolution of Networks: From Biological Nets to the Internet and WWW |
Posted on 2008-04-18
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Contents: Modern architecture of random graphs; What are networks? ; Popularity is attractive; Real networks; Equilibrium networks; Non-equilibriurn networks; Global topology of networks; Growth of networks and self-organized criticality; Philosophy of a small world. . . . . |
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Combinatorial Number Theory |
Posted on 2008-04-15
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Contents: Roth' Theorem; Freiman's theorem and the circle method; Four term arithmetic progressions; Progressions among the primes.
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Reversibility and Stochastic Networks |
Posted on 2008-04-14
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Contents: Markov Processes and Reversibility; Migration Processes;Queueing Networks; Examples of Queueing Networks; Electrical Analogues;Reversible Migration Processes;
Population Genetics Models; Clustering Processes; Spatial Processes; References. . . . . |
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Relieving the fermionic and the dynamical sign problem: Multilevel Blocking Monte Carlo |
Posted on 2008-04-13
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This article gives an introduction to the multilevel blocking (MLB) approach to both the fermion and the dynamical sign problem in path-integral Monte Carlo simulations. MLB is able to substantially relieve the sign problem in many situations. Besides an exposition of the method, its accuracy and several potential pitfalls are discussed, providing guidelines for the proper choice of certain MLB parameters. Simulation results are shown for strongly interacting electrons in a 2D parabolic quantum dot, the real-time dynamics of several simple mode . . . . |
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Linear Controller Design: Limits of Performance |
Posted on 2008-04-13
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The main topic of the book is closed-loop design and the computation
of performance limits using convexity. The book introduces a standard
framework for the control design problem and describes many practical
design specifications in this framework. It is shown that many of
these specifications are closed-loop convex; the corresponding control
design problems can therefore be cast as infinite-dimensional
nondifferentiable convex optimization problems. The book shows how
these problems can be solved using the ellipsoid and cutting-plan . . . . |
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Linear Matrix Inequalities in System and Control Theory |
Posted on 2008-04-13
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In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control . . . . |
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Lectures on instantons |
Posted on 2008-04-07
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This is a self-contained set of lecture notes on instantons in (super) Yang-Mills theory in four dimensions and in quantum mechanics. First the basics are derived from scratch: the regular and singular one-instanton solutions for Yang-Mills theories with gauge groups SU(2) and SU(N), their bosonic and fermionic zero modes, the path integral instanton measure, and supersymmetric Yang-Mills theories in Euclidean space. Then we discuss applications: the \theta-angle of QCD, the solution of the U(1) problem, the way Higgs fields solve the large-ins . . . . |
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Fluctuation-Dissipation: Response Theory in Statistical Physics |
Posted on 2008-04-04
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General aspects of the Fluctuation-Dissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the relaxation of spontaneous fluctuations, and the response to an external perturbation. These studies date back to Einstein's work on Brownian Motion, were continued by Nyquist and Onsager and culminated in Kubo's linear response theory.
The FDR has been originally developed in the framework of statistical mechani . . . . |
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An Introduction to Topos Physics |
Posted on 2008-04-03
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The basic notion of how topoi can be utilized in physics is presented here. Topos and category theory serve as valuable tools which extend our ordinary set-theoretical conceptions, can further the study of quantum logic and give rise to new and 'neo-realistic' descriptions of quantum physics, i.e. make possible the construction of a general scheme for quantum physics, which 'looks like' the classical one. A novel way of writing theories of physics, by representing a formal language of a physical system, into an appropriate topos, is analyzed he . . . . |
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The large deviation approach to statistical mechanics |
Posted on 2008-04-03
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The theory of large deviations is concerned with the exponential decay of probabilities of large fluctuations in random systems. These probabilities are important in many fields of study, including statistics, finance, and engineering, as they yield valuable information about the large fluctuations of a random system around its most probable state or trajectory. In the context of equilibrium statistical mechanics, the theory of large deviations provides exponential-order estimates of probabilities that refine and generalize Einstein's theory of . . . . |
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The BEM in Acoustics |
Posted on 2008-04-02
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The boundary element method (BEM) is an important technique in the computational solution of engineering or scientific problems. In applying the boundary element method, only a mesh of the surfaces is required, making it easier to use and often more eficient that the more common finite element method. . . . . |
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Notes on Differential Geometry |
Posted on 2008-03-30
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Contents: Manifolds; hypersurfaces of Rn; surfaces in R3; Tensors and forms; connexions; rienmann manifolds and submanifolds; operators on forms and integration; gauss-bonnet theory of rigidity; existence theory; topics in Riemannian geomatry. . . . . |
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Fundamental Aspects of the Expansion of the Universe and Cosmic Horizons |
Posted on 2008-03-30
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In the context of the new standard LambdaCDM cosmology we resolve conflicts in the literature regarding fundamental aspects of the expansion of the universe and cosmic horizons and we link these concepts to observational tests. We derive the dynamics of a non-comoving galaxy and use this to demonstrate the counter-intuitive result that objects at constant proper distance can have a non-zero redshift. Receding galaxies can be blueshifted and approaching galaxies can be redshifted, even in an empty universe for which one might expect special rela . . . . |
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Mécanique quantique |
Posted on 2008-03-16
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Contents: Principes Fondamentaux et Revision; Théorie de la symétrie; Théorie des perturbations; Deuxième Quantification; Applications à la physique du solide; Bosons; Interactions lumière-matière; Théorie relativiste de l’électron; Méthodes Fonctionnelles. . . . . |
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Physique subatomique |
Posted on 2008-03-16
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Contents: Processus élémentaires;Modèles élémentaires du noyau; Instabilités nucléaires; Réactions nucléaires; Particules élémentaires : généralités; Quantification du champ et interactions; Théorie relativiste de l’électron; Introduction à la théorie des groupes; Théories de jauge; Modèle standard des interactions électro-faibles. . . . . |
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Ondes électromagnétiques |
Posted on 2008-03-16
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Contents: Le champ electromagnetique; Ondes planes dans le vide et les dielectriquees; Theorie de la constante dielectrique; Reflexion et refraction; Propagation dans un dielectrique anisotrope; Guides d’onde; Guides a section circulaire; Cavites electromagnetiques; Rayonnement d’ondes electromagnetiques; A Diffusion de la lumiere; Antennes; Diffraction; Rayonnement par des charges ponctuelles.
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Mécanique I |
Posted on 2008-03-15
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Contents: Rappels sur les vecteurs; Mouvement d’un point; Les lois du mouvement; Les forces macroscopiques; Applications des lois du mouvement; Energie et Travail; Applications de la conservation de la quantita de mouvemente;
Mouvement dans un champ de force central; Mouvement dans un champ de force central; Moment cinetique et rotation des corpe; Referentiels accelere; Relativita restreinte; Le systeme international d’unita;
Constantes physiques et astronomiques
L’alphabet grec.
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Logic and Proof |
Posted on 2008-03-08
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Contents:
1 Introduction and Learning Guide
2 Propositional Logic
3 Proof Systems for Propositional Logic
4 Ordered Binary Decision Diagrams
5 First-order Logic
6 Formal Reasoning in First-Order Logic
7 Clause Methods for Propositional Logic
8 Skolem Functions and Herbrand’s Theorem
9 Unification
10 Applications of Unification
11 Modal Logics
12 Tableaux-Based Methods. . . . . |
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Fundamentals of Nuclear Magnetic Resonance |
Posted on 2008-03-08
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Contents: 1.1 INTRODUCTION;
1.2 MAGNETIC RESONANCE; 1.3 THE NUCLEAR MAGNETIC RESONANCE EXPERIMENT; 1.4 RELAXATION; 1.5 OTHER NUCLEAR MAGNETIC RESONANCE PARAMETERS; 1.6 NUCLEAR OVERHAUSER EFFECT
1.7 CHEMICAL EXCHANGE. . . . . |
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Programming for Engineers |
Posted on 2008-03-05
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The programming was taught using the inbuilt programming language of Mathematica.
Contents: 1. Introduction. Getting Started; 2. Expressions and Evaluation; 3. Rules and Patterns; 4. Writing Functions; 5. Writing Modules; 6. Functional Programming ; 7. Rule-based Programming; 8. Graphics Programming; 9. Concluding Techniques; A. Packaging Your Program;B. Programming Project. . . . . |
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Grassmann Algebra |
Posted on 2008-03-04
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Contents: Introduction; The Exterior Product; The Regressive Product;Geometric Interpretations; The Complement; The Interior Product; Exploring Screw Algebra; Exploring Mechanics; Exploring Grassmann Algebra; Exploring the Generalized Product; Exploring Hypercomplex Algebra; Exploring Clifford Algebra; Exploring Grassmann Matrix Algebra. . . . . |
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Science-advisor.net |
Posted on 2008-03-04
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Science-advisor.net is a free articles search engine and online forum for scientific discussions and short reviews.
Search articles in Physics, Astrophysics, Mathematics, Biophysics, etc.
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Nuclear Magnetic Resonance: applications to organic chemistry |
Posted on 2008-02-29
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This brief book is the outgrowth of some forty lectures in which it was attempted to explain the phenomenon of nuclear magnetic resonance absorption and the uses of high-resolution nuclear magnetic resonance spectroscopy to organic chemists whose background, like that of the author, has often been deficient in nuclear and electromagnetic theory. Quite a number of suggestions were received for presentation of the material in printed form with illustrations based on the lecture slides. This has now been done, and it is hoped that the result will . . . . |
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An Introduction to the Analysis of Spin-Spin Splitting |
Posted on 2008-02-29
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An Introduction to the Analysis of Spin-Spin Splitting in High-Resolution Nuclear Magnetic Resonance Spectra. The purpose of this book is to show that the path to making practical calculations of spin-spin splittings is not really difficult. No prior knowledge of quantum mechanics or the mathematics thereof will be assumed. Familiarity with the elements of nuclear magnetic resonance spectroscopy at the level of Roberts, "Nuclear Magnetic Resonance," McGraw-Hill Book Company, Inc., New York, 1959, and Jackman, "Applications of Nuclear Magnetic R . . . . |
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Notes on Molecular Orbital Calculations |
Posted on 2008-02-29
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From the Preface: For practicing organic chemists the simple, linear-combination-of-atomic-orbitals (LCAO), molecular-orbital method permits useful calculations of semi-empirical electronic energies of unsaturated molecules with no more than high school algebra. Anyone who can find the roots of x^4 - 5x^2 4x = 0 graphically, analytically, or by successive substitutions can obtain the energy levels and calculate the [Greek pi]-electron energy of bicyclo[1.1.0]butadiene. [figure of bicyclobutadiene] If in addition he can solve x^4 - 4x^2 = 0, t . . . . |
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Classical Mechanics: An introductory course |
Posted on 2008-02-24
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A complete set of lecture notes for an lower-division classical mechanics course. Topics covered include one-dimensional motion, three-dimensional motion, Newton's laws of motion, energy and momentum conservation, circular and rotational motion, statics, planetary motion, oscillations, and wave motion. . . . . |
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Green's functions for solving differential equations, in non-boundary value problems in optics and in quantum transport |
Posted on 2008-02-24
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Green's functions for solving differential equations, in non-boundary value problems in near-field optics and in quantum transport through point contacts.
This introduction to Green's functions is based on their role as kernels of differential equations. The procedures to construct solutions to a differential equation with an external source or with an inhomogeneity term are put together to derive the Dyson equation for the Green's function of the inhomogeneous system. Very different areas of physics such as, for example, electrodynamics and q . . . . |
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Farmacología Básica |
Posted on 2008-02-23
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Contents: Nociones Básicas de Farmacología; Principios de Toxicología; Farmacología Autonómica y Autacoidea; Quimioterapia; Farmacología Cardiovascular; Farmacología Neurológica; Farmacología Digestiva, Uterina y Respiratoria; Farmacología Endocrina y Metabólica. . . . . |
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Electrons and Chemical Bonding |
Posted on 2008-02-23
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THIS BOOK WAS DEVELOPED from my lectures on chemical bonding in Chemistry 10 at Columbia in in the spring of 1962, and is mainly intended for the undergraduate student in chemistry who desires an introduction to the modern theories of chemical bonding. The material is designed for a one-semester course in bonding, hut it may have greater use as a supplementary text in the undergraduate chemistry curriculum. The book starts with a discussion of atomic structure and proceeds to the principal subject of chemical bonding. . . . . |
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