Nonlinear dimensionality

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  • It is more than a century since Karl Pearson invented the concept of Principal Component Analysis (PCA). Nowadays, it is a very useful tool in data analysis in many fields. PCA is the technique of dimensionality reduction, which transforms data in the high-dimensional space to space of lower dimensions. The advantages of this subspace are numerous. First of all, the reduced dimension has the effect of retaining the most of the useful information while reducing noise and other undesirable artifacts. Secondly, the time and memory that used in data processing are smaller.

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  • Nonlinear Analysis of Bridge Structures 36.1 36.2 36.3 Introduction Analysis Classification and General Guidelines Classifications • General Guidelines 36 Geometrical Nonlinearity Formulations Two-Dimensional Members • Three-Dimensional Members 36.4 Material Nonlinearity Formulations Structural Concrete • Structural and Reinforcement Steel 36.5 Nonlinear Section Analysis Basic Assumptions and Formulations • Modeling and Solution Procedures • Yield Surface Equations 36.

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  • A new type of semiconductor laser is studied, in which injected carriers in the active region are quantum mechanically confined in localized finite self-assembled wire-like quantumdash (Qdash) structures that are varied in sizes and compositions. Effects of such carrier distribution and quasi three-dimensional density of states contribute to a quasisupercontinuum interband lasing characteristics, which is a new laser design platform as compared to continuous broad emission spectrum generated by nonlinear media pumped with ultrashort laser pulse....

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  • This volume, based on the proceedings of the Sixth International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines and Propellers aims at promoting an international exchange of current research in unsteady flow phenomena in turbomachines and propellers.

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  • Modeling multi-level complex systems is the object of this book. Complex systems are assemblies of several subsystems and are characterized by emergent behavior resulting by nonlinear interactions among subsystems for multiple levels of organization. The complexity of numerous systems is rooted in the existence of many levels of self-organization corresponding to different time and space scales. There is a need to provide general frameworks able to combine several scales and reality levels of the complex systems in one coherent and transdisciplinary discourse.

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  • One-dimensional nonlinear systems, although simple in form, are applicable in a surprisingly wide variety of engineering contexts.

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  • Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Research Article On Lyapunov-Type Inequalities for Two-Dimensional Nonlinear Partial Systems

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  • (BQ) Part 1 book "Engineering optimization theory and practice" has contents: Introduction to optimization, classical optimization techniques, linear programming I-Simplex method, linear programming II-Additional topics and extensions, nonlinear programming I-One dimensional minimization methods,...and other contents.

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  • One-dimensional nonlinear systems, although simple in form, are applicable in a surprisingly wide variety of engineering contexts. As models for engineering systems, their richly complex behavior has provided insight into the operation of, for example, analog-to-digital converters [1], nonlinear oscillators [2], and power converters [3]. As realizable systems, they have been proposed as

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  • Combinations for Three-Dimensional Force Measurements Scanning and Control Systems Piezotubes • Piezoeffect • Scan Range • Nonlinearities, Creep • Linearization Strategies • Alternative Scanning Systems • Control Systems

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  • Marti, O. Ò"AFM Instrumentation and Tips"Ó Handbook of Micro/Nanotribology. Ed. Bharat Bhushan Boca Raton: CRC Press LLC, 1999 © 1999 by CRC Press LLC AFM Instrumentation and Tips Othmar Marti 2.1 2.2 Force Detection The Mechanics of Cantilevers Compliance and Resonances of Lumped Mass Systems • Cantilevers • Tips and Cantilevers • Materials and Geometry • Outline of Fabrication 2 2.3 2.4 2.5 2.6 2.7 2.

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  • As discussed in Chapter 10, the pel recursive technique is one of the three major approaches to two-dimensional displacement estimation in image planes for the signal processing community. Conceptually speaking, it is one type of region-matching technique. In contrast to block matching (which was discussed in the previous chapter), it recursively estimates displacement vectors for each pixel in an image frame. The displacement vector of a pixel is estimated by recursively minimizing a nonlinear function of the dissimilarity between two certain regions located in two consecutive frames.

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  • In the second chapter, Juan Carlos Jáuregui presents an application of phase space to the identification of nonlinearities and transients. In this interesting approach, a phase diagram is represented as a three-dimensional plot which can then be used for frequency and dynamic identification of a system. The application of this approach to nonlinear mechanical systems such as gears, bearings and friction is also included in the chapter.

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  • Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-curvature under generic assumptions. The problem amounts to solving a fourth-order nonlinear elliptic equation with variational structure. Since the corresponding Euler functional is in general unbounded from above and from below, we employ topological methods and min-max schemes, jointly with the compactness result of [35]. 1.

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  • In the two parts of this paper we prove that the Reidemeister torsion invariants determine topological equivalence of G-representations, for G a finite cyclic group. 1. Introduction Let G be a finite group and V , V finite dimensional real orthogonal representations of G. Then V is said to be topologically equivalent to V (denoted V ∼t V ) if there exists a homeomorphism h : V → V which is G-equivariant. If V , V are topologically equivalent, but not linearly isomorphic, then such a homeomorphism is called a nonlinear similarity. ...

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  • Mathematical theories and methods and effective computational algorithms are crucial in coping with the challenges arising in the sciences and in many areas of their application. New concepts and approaches are necessary in order to overcome the complexity barriers particularly created by nonlinearity, high-dimensionality, multiple scales and uncertainty. Combining advanced mathematical and computational methods and computer technology is an essential key to achieving progress, often even in purely theoretical research.

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  • SAP2000 represents the most sophisticated and user-friendly release of the SAP series of computer programs. When initially released in 1996, SAP2000 was the first version of SAP to be completely integrated within Microsoft Windows. It features a powerful graphical user interface that is unmatched in terms of ease-of-use and productivity. Creation and modification of the model, execution of the analysis, and checking and optimization of the design, and production of the output are all accomplished using this single interface.

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  • This manual introduces you to SAP2000 Version 11. The step-by-step instructions guide you through development of your first model. The in-tent is to demonstrate the fundamentals and to show how quickly and easily a model can be created using the program. Completing the tutorial will give you hands-on experience working with SAP2000, which for most people is the quickest way to become familiar with the program. If you are viewing this manual as a .pdf file, we strongly recommend that you print it before starting the tutorial.

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  • This book is devoted to one of the most interesting and rapidly developing areas of modern nonlinear physics and mathematics – theoretical, analytical and numerical, study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear wave packets described by the Korteweg–de Vries (KdV), Kadomtsev–Petviashvili (KP), nonlinear Schr¨odinger (NLS) and derivative nonlinear Schr¨odinger (DNLS) classes of equations.

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