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41 Strobach, Peter Linear Prediction Theory I01472 1990 eBook  
42 Turner, A.K Three-Dimensional Modeling with Geoscientific Information Systems I01460 1992 eBook  
43 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I01250 1997 eBook  
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41.    
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TitleLinear Prediction Theory : A Mathematical Basis for Adaptive Systems
Author(s)Strobach, Peter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1990.
DescriptionXVI, 422 p : online resource
Abstract NoteLnear prediction theory and the related algorithms have matured to the point where they now form an integral part of many real-world adaptive systems. When it is necessary to extract information from a random process, we are frequently faced with the problem of analyzing and solving special systems of linear equations. In the general case these systems are overdetermined and may be characterized by additional properties, such as update and shift-invariance properties. Usually, one employs exact or approximate least-squares methods to solve the resulting class of linear equations. Mainly during the last decade, researchers in various fields have contributed techniques and nomenclature for this type of least-squares problem. This body of methods now constitutes what we call the theory of linear prediction. The immense interest that it has aroused clearly emerges from recent advances in processor technology, which provide the means to implement linear prediction algorithms, and to operate them in real time. The practical effect is the occurrence of a new class of high-performance adaptive systems for control, communications and system identification applications. This monograph presumes a background in discrete-time digital signal processing, including Z-transforms, and a basic knowledge of discrete-time random processes. One of the difficulties I have en?? countered while writing this book is that many engineers and computer scientists lack knowledge of fundamental mathematics and geometry
ISBN,Price9783642752063
Keyword(s)1. APPLIED MATHEMATICS 2. CALCULUS OF VARIATIONS 3. Calculus of Variations and Optimal Control; Optimization 4. COMBINATORICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. Mathematical Methods in Physics 10. Numerical and Computational Physics, Simulation 11. PHYSICS 12. SYSTEM THEORY 13. Systems Theory, Control
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I01472     On Shelf    

42.     
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TitleThree-Dimensional Modeling with Geoscientific Information Systems
Author(s)Turner, A.K
PublicationDordrecht, Springer Netherlands, 1992.
DescriptionXX, 443 p : online resource
Abstract NoteA. K. TURNER Department of Geology and Geological Engineering Colorado School of Mines Golden, Colorado 80401 USA Geology deals with three-dimensional data. Geoscientists are concerned with three?? dimensional spatial observations, measurements, and explanations of a great variety of phenomena. The representation of three-dimensional data has always been a problem. Prior to computers, graphical displays involved specialized maps, cross-sections, fence diagrams, and geometrical constructions such as stereonets. All were designed to portray three-dimensional relationships on two-dimensional paper products, and all were time?? consuming to develop. Until recently, computers were of little assistance to three-dimensional data handling and representation problems. Memory was too expensive to handle the huge amounts of data required by three-dimensional assessments; computational speeds were too slow to perform the necessary calculations within a reasonable time; and graphical displays had too Iowa resolution or were much too expensive to produce useful visualizations. Much experience was gained with two-dimensional geographic information systems (GIS), which were applied to many land-use management and resource assessment problems. The two-dimensional GIS field matured rapidly in the late 1980's and became widely accepted. The advent of the modern computer workstation, with its enhanced memory and graphical capabilities at ever more affordable prices, has largely overcome these earlier constraints
ISBN,Price9789401125567
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Geology???Statistical methods 4. GEOPHYSICS 5. Geophysics/Geodesy 6. Quantitative Geology 7. SYSTEM THEORY 8. Systems Theory, Control
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I01460     On Shelf    

43.    
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliot H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1997.
DescriptionXI, 676 p : online resource
Abstract NoteThe first edition of "The Stability of Matter: From Atoms to Stars" was sold out after a time unusually short for a selecta collection and we thought it ap?? propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo Together with Elliott Lieb and Jan Philip Solovej it was eventually worked out that one has to distinguish 5 regionso If one takes as a dimensionless measure of the magnetic field strength B the ratio Larmor radius/Bohr radius one can compare it with N "' Z and for each of the domains 4 3 (i) B ?? N 1 , 4 3 (ii) B "' N 1 , 4 3 3 (iii) N 1?? B ?? N , 3 (iv) B "' N , 3 (v) B ?? N a different version ofmagnetic Thomas-Fermi theory becomes exact in the limit N --+ ooo In two dimensions and a confining potential ("quantum dots") the situation is somewhat simpler, one has to distinguish only (i) B ?? N, (ii) B "'N
ISBN,Price9783662034361
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CONDENSED MATTER 6. CONDENSED MATTER PHYSICS 7. EBOOK 8. EBOOK - SPRINGER 9. MATHEMATICAL ANALYSIS 10. QUANTUM COMPUTERS 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. SYSTEM THEORY 15. Systems Theory, Control
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I01250     On Shelf    

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