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  • MPI Ethno. Forsch.  (22)
  • 1965-1969  (22)
  • Berlin : Springer  (22)
Datasource
Material
Language
Years
Year
Author, Corporation
Publisher
Keywords
Subjects(RVK)
  • 1
    Journal/Serial
    Journal/Serial
    Afrika-Studien (from 1964-)
    München : Weltforum-Verl. | Berlin : Springer ; 1.1964 - 127.1999; damit Ersch. eingest.
    Details
    Language: German
    Dates of Publication: 1.1964 - 127.1999; damit Ersch. eingest.
    DDC: 050
    Keywords: Monografische Reihe
    Library Location Call Number Volume/Issue/Year Availability
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    Journal/Serial
    DNB
    Weltkulturen Museum
    Ethn. Museum Berlin
    MPI Ethno. Forsch.
    GRASSI Mus. Leipzig
  • 2
    Journal/Serial
    Journal/Serial
    Beiträge zum ausländischen öffentlichen Recht und Völkerrecht (from 1927-)
    Baden-Baden : Nomos | Berlin : de Gruyter | Berlin : Heymanns | Berlin : Springer ; 1.1927 - 26.1940; 27.1951 -
    Details
    ISSN: 0172-4770 , 0172-4770 , 0172-4770
    Language: German
    Dates of Publication: 1.1927 - 26.1940; 27.1951 -
    Additional Information: 26=10,1-2 von Zeitschrift für ausländisches öffentliches Recht und Völkerrecht München : Beck, 1929 0044-2348
    Additional Information: Index 27/56=Index 21/30; Index 57/77=Index 31/40 von Zeitschrift für ausländisches öffentliches Recht und Völkerrecht München : Beck, 1929 0044-2348
    Parallel Title: Erscheint auch als Beiträge zum ausländischen öffentlichen Recht und Völkerrecht
    Former Title: Institut für Ausländisches Öffentliches Recht und Völkerrecht
    DDC: 340
    RVK:
    PS 2700
    Keywords: Monografische Reihe ; Öffentliches Recht ; Völkerrecht ; Recht
    Note: Repr.: Bad Feilnbach : Schmidt Periodicals, 1999 , Ersch. unregelmäßig
    Library Location Call Number Volume/Issue/Year Availability
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    Journal/Serial
    DNB
    MPI-MMG
    MPI Ethno. Forsch.
    GRASSI Mus. Leipzig
  • 3
    Journal/Serial
    Journal/Serial
    Beiträge zum ausländischen öffentlichen Recht und Völkerrecht (from 1927-)
    Baden-Baden : Nomos | Berlin : de Gruyter | Berlin : Heymanns | Berlin : Springer ; 1.1927 - 26.1940; 27.1951 -
    Details
    ISSN: 0172-4770 , 0172-4770 , 0172-4770
    Language: German
    Dates of Publication: 1.1927 - 26.1940; 27.1951 -
    Additional Information: 26=10,1-2 von Zeitschrift für ausländisches öffentliches Recht und Völkerrecht München : Beck, 1929 0044-2348
    Additional Information: Index 27/56=Index 21/30; Index 57/77=Index 31/40 von Zeitschrift für ausländisches öffentliches Recht und Völkerrecht München : Beck, 1929 0044-2348
    Parallel Title: Erscheint auch als Beiträge zum ausländischen öffentlichen Recht und Völkerrecht
    Former Title: Institut für Ausländisches Öffentliches Recht und Völkerrecht
    DDC: 340
    RVK:
    PS 2700
    Keywords: Monografische Reihe ; Öffentliches Recht ; Völkerrecht ; Recht
    Note: Repr.: Bad Feilnbach : Schmidt Periodicals, 1999 , Ersch. unregelmäßig
    Library Location Call Number Volume/Issue/Year Availability
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    Journal/Serial
    DNB
    BSZ
    GBV
    MPI-MMG
    MPI Ethno. Forsch.
    GRASSI Mus. Leipzig
  • 4
    Microfilm
    Microfilm
    Zeitschrift für Ethnologie : ZfE = Journal of social and cultural anthropology : JSCA (1869-)
    Berlin : Reimer | Berlin : Wiegandt u. Hempel | Berlin : Wiegandt, Hempel & Parey | Berlin : Parey | Braunschweig : Limbach | Berlin : Asher | Berlin : Springer ; 1.1869 - 74.1942(1944); 75.1950 - 113.1988; 120.1995(1996) -
    Associated volumes
    Details
    ISSN: 0044-2666 , 2942-5387
    Language: German , English
    Edition: Berlin Staatsbibliothek zu Berlin 2002-2002 Mikrofiche-Ausg.: Berlin : Staatsbibliothek zu Berlin, 2002
    Dates of Publication: 1.1869 - 74.1942(1944); 75.1950 - 113.1988; 120.1995(1996) -
    Additional Information: Darin Berliner Gesellschaft für Anthropologie, Ethnologie und Urgeschichte Verhandlungen der Berliner Gesellschaft für Anthropologie, Ethnologie und Urgeschichte
    Additional Information: Erg.-Blätter Nachrichten über deutsche Altertumsfunde
    Additional Information: Supplement Deutsche Gesellschaft für Anthropologie, Ethnologie und Urgeschichte. Kommission für Prähistorische Typenkarten Bericht über die Tätigkeit der von der Deutschen Anthropologischen Gesellschaft gewählten Kommission für Prähistorische Typenkarten
    Additional Information: 114.1989 - 119.1994 Deutsche Gesellschaft für Völkerkunde Zeitschrift für Ethnologie der Deutschen Gesellschaft für Völkerkunde und der Berliner Gesellschaft für Anthropologie, Ethnologie und Urgeschichte Berlin : Reimer, 1989 0949-6718
    Parallel Title: Erscheint auch als Zeitschrift für Ethnologie
    Parallel Title: Elektronische Reproduktion Zeitschrift für Ethnologie
    Former Title: Zeitschrift für Ethnologie und ihre Hülfswissenschaften als Lehre vom Menschen in seinen Beziehungen zur Natur und zur Geschichte
    DDC: 390
    Keywords: Zeitschrift ; Ethnologie ; Anthropologie ; Physiologie ; Medizin
    Note: Herausgeber bis 2017: Deutsche Gesellschaft für Völkerkunde und Berliner Gesellschaft für Anthropologie, Ethnologie und Urgeschichte , Paralleltitel ab Vol. 145, 1 (2020) , Repr.: Amsterdam : Swets & Zeitlinger; Niedernberg : Repro Pfeffer , Mikrofiche-Ausg.: Berlin : Staatsbibliothek zu Berlin, 2002
    Library Location Call Number Volume/Issue/Year Availability
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    Microfilm
    DNB
    HU Berlin
    Weltkulturen Museum
    BSZ
    GBV
    Ethn. Museum Berlin
    MEK Berlin
    MPI-MMG
    MPI Ethno. Forsch.
    GRASSI Mus. Leipzig
    E-Book on demand
  • 5
    Journal/Serial
    Journal/Serial
    Afrika-Studien (from 1964-)
    München : Weltforum-Verl. | Berlin : Springer ; 1.1964 - 127.1999; damit Ersch. eingest.
    Details
    Language: German
    Dates of Publication: 1.1964 - 127.1999; damit Ersch. eingest.
    DDC: 050
    Keywords: Monografische Reihe
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Journal/Serial
    DNB
    Weltkulturen Museum
    BSZ
    GBV
    Ethn. Museum Berlin
    MPI Ethno. Forsch.
    GRASSI Mus. Leipzig
  • 6
    Microfilm
    Microfilm
    Zeitschrift für Ethnologie : ZfE = Journal of social and cultural anthropology : JSCA (1869-)
    Berlin : Reimer | Berlin : Wiegandt u. Hempel | Berlin : Wiegandt, Hempel & Parey | Berlin : Parey | Braunschweig : Limbach | Berlin : Asher | Berlin : Springer ; 1.1869 - 74.1942(1944); 75.1950 - 113.1988; 120.1995(1996) -
    Associated volumes
    Details
    ISSN: 0044-2666 , 2942-5387
    Language: German , English
    Edition: Berlin Staatsbibliothek zu Berlin 2002-2002 Mikrofiche-Ausg.: Berlin : Staatsbibliothek zu Berlin, 2002
    Dates of Publication: 1.1869 - 74.1942(1944); 75.1950 - 113.1988; 120.1995(1996) -
    Additional Information: Darin Berliner Gesellschaft für Anthropologie, Ethnologie und Urgeschichte Verhandlungen der Berliner Gesellschaft für Anthropologie, Ethnologie und Urgeschichte
    Additional Information: Erg.-Blätter Nachrichten über deutsche Altertumsfunde
    Additional Information: Supplement Deutsche Gesellschaft für Anthropologie, Ethnologie und Urgeschichte. Kommission für Prähistorische Typenkarten Bericht über die Tätigkeit der von der Deutschen Anthropologischen Gesellschaft gewählten Kommission für Prähistorische Typenkarten
    Additional Information: 114.1989 - 119.1994 Deutsche Gesellschaft für Völkerkunde Zeitschrift für Ethnologie der Deutschen Gesellschaft für Völkerkunde und der Berliner Gesellschaft für Anthropologie, Ethnologie und Urgeschichte Berlin : Reimer, 1989 0949-6718
    Parallel Title: Erscheint auch als Zeitschrift für Ethnologie
    Parallel Title: Elektronische Reproduktion Zeitschrift für Ethnologie
    Former Title: Zeitschrift für Ethnologie und ihre Hülfswissenschaften als Lehre vom Menschen in seinen Beziehungen zur Natur und zur Geschichte
    DDC: 390
    Keywords: Zeitschrift ; Ethnologie ; Anthropologie ; Physiologie ; Medizin
    Note: Herausgeber bis 2017: Deutsche Gesellschaft für Völkerkunde und Berliner Gesellschaft für Anthropologie, Ethnologie und Urgeschichte , Paralleltitel ab Vol. 145, 1 (2020) , Repr.: Amsterdam : Swets & Zeitlinger; Niedernberg : Repro Pfeffer , Mikrofiche-Ausg.: Berlin : Staatsbibliothek zu Berlin, 2002
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Microfilm
    DNB
    HU Berlin
    Weltkulturen Museum
    Ethn. Museum Berlin
    MEK Berlin
    MPI-MMG
    MPI Ethno. Forsch.
    GRASSI Mus. Leipzig
    E-Book on demand
  • 7
    Online Resource
    Online Resource
    Introduction to the Theory of Bases (1969)
    Berlin : Springer
    Details
    ISBN: 9783642871405
    Language: English
    Pages: Online-Ressource (XII, 151 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 18
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Mathematics ; Functional analysis.
    Abstract: I. Linear Transformations -- 1. Linear Topological Spaces -- 2. Linear Transformations -- 3. Conjugate Spaces and Weak Topologies -- 4. Special Banach Spaces -- II Convergence of Series in Banach Spaces -- 1. Relations among Different Types of Convergence -- 2. Unconditional and Absolute Convergence -- III. Bases for Banach Spaces -- 1. Bases Corresponding to Different Topologies -- 2. Biorthogonal Systems -- 3. Shrinking and Boundedly Complete Bases -- 4. Unconditional Bases -- 5. Absolutely Convergent Bases and Uniform Bases -- 6. T-Bases -- 7. Bases for Special Spaces -- IV. Orthogonality, Projections and Equivalent Bases -- 1. Bases and Projections -- 2. Orthogonality, simple N1-Spaces and Monotone Bases -- 3. Equivalent Bases -- V. Bases and Structure of the Space -- 1. Bases, Completeness and Separability -- 2. Bases and Reflexivity -- 3. Criteria for Finite Dimension -- VI. Bases for Hilbert Spaces -- 1. Monotone and Orthonormal Bases -- 2. Unconditional Bases for Hilbert Spaces -- VII. Decompositions -- 1. Decompositions of F-Spaces -- 2. Decompositions of Banach Spaces -- VIII. Applications to the Theory of Banach Algebras -- 1. Two-Sided Ideals of Operators of Finite Rank -- 2. ?-Rings -- 3. Proper ?-Rings of Schauder Decompositions -- 4. Minimal Schauder Decompositions -- 5. Banach Algebras and Unconditional Bases -- IX. Some Results on Generalized Bases for Linear Topological Spaces -- 1. Definition and Fundamental Properties of Generalized Bases -- 2. Dual Generalized Bases -- 3. Examples -- 4. Similar Bases -- 5. Continuity of the Coefficient Functionals -- Author and Subject Index.
    Abstract: Since the publication of Banach's treatise on the theory of linear operators, the literature on the theory of bases in topological vector spaces has grown enormously. Much of this literature has for its origin a question raised in Banach's book, the question whether every sepa­ rable Banach space possesses a basis or not. The notion of a basis employed here is a generalization of that of a Hamel basis for a finite dimensional vector space. For a vector space X of infinite dimension, the concept of a basis is closely related to the convergence of the series which uniquely correspond to each point of X. Thus there are different types of bases for X, according to the topology imposed on X and the chosen type of convergence for the series. Although almost four decades have elapsed since Banach's query, the conjectured existence of a basis for every separable Banach space is not yet proved. On the other hand, no counter examples have been found to show the existence of a special Banach space having no basis. However, as a result of the apparent overconfidence of a group of mathematicians, who it is assumed tried to solve the problem, we have many elegant works which show the tight connection between the theory of bases and structure of linear spaces.
    DOI: 10.1007/978-3-642-87140-5
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  • 8
    Online Resource
    Online Resource
    The Physics of Large Deformation of Crystalline Solids (1968)
    Berlin : Springer
    Details
    ISBN: 9783642884405
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 14
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Physics ; Mathematical physics.
    Abstract: I. Introduction -- Plan of Monograph -- II. Finite Amplitude Wave Propagation Experiments -- Transition Velocities -- Determination of Maximum Stress -- III. Quasi-static Polycrystalline Uniaxial Stress Experiments -- Aluminum -- Uranium -- Zinc -- Germanium -- Tantalum -- Iridium, Rhenium, Molybdenum, Rhodium, and Niobium -- Gold -- Silver -- Copper -- Lead -- Nickel -- Molybdenum -- Niobium (Columbium) -- Chromium -- Iron -- Yttrium -- Summary -- IV. Single Crystal Uniaxial Stress Experiments -- Aluminum -- Gold -- Silver -- Nickel -- Lead -- Copper -- Iron -- Tantalum -- Summary of Single Crystal Data -- V. The Discrete Distribution of Zero-point Isotropic Elastic Shear Moduli of the Elements -- The Experimental Data -- VI. Multiple Isotropic Linear Elastic Moduli -- Multiple Elasticity Experiments -- VII. The Portevin - le Chatelier Effect -- VIII. Binary Combinations -- IX. Transition Phenomena -- X. Experiment and Theory -- Appendix I -- Appendix II -- References -- Author Index.
    Abstract: Historically, a major problem for the study of the large deformation of crystalline solids has been the apparent lack of unity in experimentally determined stress-strain functions. The writer's discovery in 1949 of the unexpectedly high velocity of incremental loading waves in pre-stressed large deformation fields emphasized to him the pressing need for the independent, systematic experimental study of the subject, to provide a firm foundation upon which physically plausible theories for the finite deformation of crystalline solids could be constructed. Such a study undertaken by the writer at that time and continued uninterruptedly to the present, led in 1956 to the development of the diffraction grating experiment which permitted, for the first time, the optically accurate determination of the strain-time detail of non-linear finite amplitude wave fronts propagating into crystalline solids whose prior history was precisely known. These experimental diffraction grating studies during the past decade have led to the discovery that the uniaxial stress-strain functions of 27 crystalline solids are unified in a single, generalized stress-strain function which is described, much of it hitherto unpublished, in the present monograph. The detailed study of over 2,000 polycrystal and single crystal uni­ axial stress experiments in 27 crystalline solids, in terms of the variation of a large number of pertinent parameters, has provided new unified pat­ terns of understanding which, it is hoped, will be of interest and value to theorists and experimentalists alike.
    DOI: 10.1007/978-3-642-88440-5
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  • 9
    Online Resource
    Online Resource
    Mathematical Foundations of Network Analysis (1968)
    Berlin : Springer
    Details
    ISBN: 9783642874246
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 16
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: 1. Connected Networks -- 1.0 Introduction -- 1.1 Set Theory -- 1.2 Sets with Two or Less Elements -- 1.3 Generalized Union -- 1.4 Relations and Functions -- 1.5 Superpositions and Inverses -- 1.6 Restrictions -- 1.7 Cartesian Products -- 1.8 Some Special Symbols -- 1.9 Finite Sequences -- 1.10 Networks -- 1.11 Geometrical Realization of a Network -- 1.12 Subnetworks -- 1.13 Degree of a Vertex -- 1.14 Path in a Network -- 1.15 Proper Path in a Network -- 1.16 Reduction of a Path to a Proper Path -- 1.17 Connected Networks -- 1.18 Isolated Vertices -- 1.19 Connected Sets of Branches -- 1.20 Path Connected Set of Branches -- 1.21 Union of Connected Sets of Branches -- 1.22 Connectedness of Paths -- 1.23 Component of a Set of Branches -- 1.24 Existence of Components -- 1.25 Partition into Components -- 1.26 Removal of a Branch -- 2. Loops, Trees, and Cut Sets -- 2.0 Introduction -- 2.1 Loop in a Network -- 2.2 Loops -- 2.3 Subloops of a Loop -- 2.4 Branches and Vertices of a Loop -- 2.5 Paths in a Loop -- 2.6 Removal of a Branch from a Loop -- 2.7 Tree in a Network -- 2.8 Trees -- 2.9 Connected Subset of a Tree -- 2.10 Branches and Vertices of a Tree -- 2.11 Number of Vertices of a Connected Set of Branches -- 2.12 Addition of a Branch to a Tree -- 2.13 Existence of Maximal Trees -- 2.14 Cut Set in a Network -- 2.15 Existence of Cut Sets -- 2.16 Alternate Characterization of Cut Sets -- 3. Incidence Functions and Incidence Matrices -- 3.0 Introduction -- 3.1 Incidence Functions -- 3.2 Matrices and Arrays -- 3.3 Submatrices -- 3.4 Determinants -- 3.5 Incidence Matrices -- 3.6 Square Submatrices of an Incidence Matrix -- 3.7 Unimodular Matrices -- 3.8 Laplacian Expansion of a Determinant -- 3.9 Reduced Incidence Matrix of a Tree -- 3.10 Incidence Matrix of a Loop -- 4. Linear Algebra Review -- 4.0 Introduction -- 4.1 The Field of Scalars -- 4.2 Addition and Scalar Multiplication of Functions -- 4.3 Linear Space of 0-Chains -- 4.4 Canonical Base of the Space of 0-Chains -- 4.5 Inner Product -- 4.6 Linear Maps -- 4.7 Transpose of a Linear Map -- 4.8 Direct Sum Decomposition -- 4.9 Dimension and Direct Sum Decomposition -- 5. Boundary Operator and Coboundary Operator -- 5.0 Introduction -- 5.1 Assumptions of This Chapter -- 5.2 Chain Spaces -- 5.3 The Boundary Operator -- 5.4 Boundaries and Cycles -- 5.5 Summation Over Finite Sets -- 5.6 The Coboundary Operator -- 5.7 Coboundaries and Cocycles -- 5.8 Boundaries, Coboundaries, and Inner Products -- 5.9 Orthogonality of Cycles and Coboundaries -- 5.10 Orthogonality of Boundaries and Cocycles -- 5.11 Decomposition of ?(K) into Cycles and Coboundaries -- 5.12 Decomposition of ? (V) into Boundaries and Cocycles -- 5.13 Isomorphism of Coboundaries and Boundaries -- 5.14 Dimension of the Space of Cocycles -- 6. Axioms of Network Analysis -- 6.0 Introduction -- 6.1 Assumptions of This Chapter -- 6.2 Resistive Networks -- 6.3 Currents and Voltages -- 6.4 Ohm’s Law -- 6.5 Sources -- 6.6 Kirchhoff’s Laws for Voltage Sources -- 6.7 Kirchhoff’s Laws for Current Sources -- 7. Existence and Uniqueness of Solutions -- 7.0 Introduction -- 7.1 Assumptions of This Chapter -- 7.2 Linearity of L and H -- 7.3 Existence and Uniqueness with Voltage Sourcess -- 7.4 Existence and Uniqueness with Current Sources -- 7.5 Current Variables -- 7.6 Voltage Variables -- 8. Kirchhoff’s Third and Fourth Laws -- 8.0 Introduction -- 8.1 Assumptions of This Chapter -- 8.2 The Cycle Map -- 8.3 The Chord Map -- 8.4 The Sum of Tree Chord Products -- 8.5 The Current Chain with Voltage Sources -- 8.6 The Coboundary Map -- 8.7 The Tree Branch Map -- 8.8 The Sum of Tree Branch Products -- 8.9 The Voltage Chain with Current Sources -- 8.10 Invariance Under Change of Incidence -- References.
    Abstract: In this book we attempt to develop the fundamental results of resistive network analysis, based upon a sound mathematical structure. The axioms upon which our development is based are Ohm's Law, Kirchhoff's Voltage Law, and Kirchhoff's Current Law. In order to state these axioms precisely, and use them in the development of our network analysis, an elaborate mathematical structure is introduced, involving concepts of graph theory, linear algebra, and one dimensional algebraic topology. The graph theory and one dimensional algebraic topology used are developed from first principles; the reader needs no background in these subjects. However, we do assume that the reader has some familiarity with elementary linear algebra. It is now stylish to teach elementary linear algebra at the sophomore college level, and we feel that the require­ ment that the reader should be familiar with elementary linear algebra is no more demanding than the usual requirement in most electrical engineering texts that the reader should be familiar with calculus. In this book, however, no calculus is needed. Although no formal training in circuit theory is needed for an understanding of the book, such experience would certainly help the reader by presenting him with familiar examples relevant to the mathematical abstractions introduced. It is our intention in this book to exhibit the effect of the topological properties of the network upon the branch voltages and branch currents, the objects of interest in network analysis.
    DOI: 10.1007/978-3-642-87424-6
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  • 10
    Online Resource
    Online Resource
    Nonlinear Differential Equations of Chemically Reacting Systems (1968)
    Berlin : Springer
    Details
    ISBN: 9783642876431
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 17
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Mathematics ; Chemistry ; Mathematics ; Chemistry
    Abstract: 1. Uniform Systems with Chemical Change -- 1.1 Stoichiometry and Kinetics of Chemical Reactions -- 1.2 Invariant Manifolds and Extents of Reactions -- 1.3 Existence and Uniqueness of Solutions -- 1.4 Equilibrium Points of the Kinetic Equations -- 1.5 Convergence to the Equilibrium State -- 1.6 Ideal Gas Mixtures -- 1.7 The Number and Stability of Equilibrium States in Closed Systems -- 1.8 Uniform Open Systems -- 1.9 Uniqueness and Stability of Steady States in Open Systems -- 2. Distributed Chemical Reaction Systems -- 2.1 Physical Description and Formulation of the Conservation Differential Equations -- 2.2 One Reaction. Invariant Manifolds and A Priori Bounds -- 2.3 A Closed Form Solution -- 2.4 General Reaction Systems. Invariant Manifolds and A Priori Bounds -- 2.5 Existence of Solutions -- 2.6 Preliminaries on the Uniqueness of Steady States -- 2.7 Reaction Limited Regime-Uniqueness -- 2.8 Asymptotic Behavior in the Transport Limited Regime -- 2.9 On the Stability of the Steady States -- Notation -- References.
    Abstract: In recent years considerable interest has developed in the mathe­ matical analysis of chemically reacting systems both in the absence and in the presence of diffusion. Earlier work has been limited to simple problems amenable to closed form solutions, but now the computer permits the numerical solution of complex systems of nonlinear differ­ ential equations. The numerical approach provides quantitative infor­ mation, but for practical reasons it must be limited to a rather narrow range of the parameters of the problem. Consequently, it is desirable to obtain broader qualitative information about the solutions by in­ vestigating from a more fundamental mathematical point of view the structure of the differential equations. This theoretical approach can actually complement and guide the computational approach by narrow­ ing down trial and error procedures, pinpointing singularities and suggesting methods for handling them. The study of the structure of the differential equations may also clarify some physical principles and suggest new experiments. A serious limitation ofthe theoretical approach is that many of the results obtained, such as the sufficient conditions for the stability of the steady state, turn out to be very conservative. Thus the theoretical and computational approaches are best used to­ gether for the purpose of understanding, designing, and controlling chemically reacting systems. The present monograph is intended as a contribution to the theory of the differential equations describing chemically reacting systems.
    DOI: 10.1007/978-3-642-87643-1
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  • 11
    Online Resource
    Online Resource
    Foundations of Physics (1967)
    Berlin : Springer
    Details
    ISBN: 9783642492877
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 10
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Physics ; Physics ; Astronomy.
    Abstract: Foundations Research -- 1. Object: Fundamental Theories -- 2. Aims: Analysis and Synthesis -- 3. Why Foundations ? -- 4. How FR ? -- 5. Present State of FR -- 6. Outlook -- 1 Toolbox -- 1. Form and Content -- 2. Predicates -- 3. Hypotheses -- 4. Theories -- 5. Theory Checking -- 2 Protophysics -- 1. Zerological Principles -- 2. Physical Probabilities -- 3. Chronology -- 4. Physical Geometry -- 5. General Systems Theory -- 6. Analytical “Dynamics” -- 3 Classical Mechanics -- 1. Particle Mechanics -- 2. Continuum Mechanics -- 4 Classical Field Theories -- 1. Classical Electromagnetism -- 2. Special Relativity -- 3. General Relativity -- 5 Quantum Mechanics -- 1. Quantum Heuristics -- 2. Background and Building Blocks -- 3. Comprehensive Postulates -- 4. Comprehensive Theorems -- 5. Specific Postulates -- 6. Specific Theorems -- 7. Measurement Theory -- 8. Debated Questions -- Epilogue.
    Abstract: This is not an introduction to physics but an analysis of its founda­ tions. Indeed, the aims of this book are: (1) to analyze the form and content of some of the key ideas of physics; (2) to formulate several basic physical theories in an explicit and orderly (i. e. , axiomatic) fashion; (3) to exhibit their presuppositions and discuss some of their philosoph­ ical implications; (4) to discuss some of the controversial issues, and (5) to debunk certain dusty philosophical tenets that obscure the under­ standing of physics and hinder its progress. To the extent to which these goals are attained, the volume can serve as a companion to studies in theoretical physics aiming at deepening the understanding of the logical structure and the physical meaning of our science. In order to keep the book slender, whole fields of basic physical research had to be excluded - chiefly many-body physics, quantum field theories, and elementary particle theories. A large coverage was believed to be less important than a comparatively detailed analysis and reconstruction of three representative monuments: classical mechan­ ics, general relativity, and quantum mechanics, as well as their usually unrecognized presuppositions. The reader is invited to join the project and supply some of the many missing chapters - or to rewrite the present ones entirely.
    DOI: 10.1007/978-3-642-49287-7
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  • 12
    Online Resource
    Online Resource
    Delaware Seminar in the Foundations of Physics (1967)
    Berlin : Springer
    Details
    ISBN: 9783642861024
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Studies in the Foundations Methodology and Philosophy of Science 1
    DDC: 530
    Keywords: Physics
    DOI: 10.1007/978-3-642-86102-4
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  • 13
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    Online Resource
    Quantum Theory and Reality (1967)
    Berlin : Springer
    Details
    ISBN: 9783642880261
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Studies in the Foundations Methodology and Philosophy of Science 2
    DDC: 530
    Keywords: Physics
    DOI: 10.1007/978-3-642-88026-1
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  • 14
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    Structural Linguistics and Human Communication : An Introduction into the Mechanism of Language and the Methodology of Linguistics (1967)
    Berlin : Springer
    Details
    ISBN: 9783642883019
    Language: English
    Pages: Online-Ressource , digital
    Edition: Second revised edition
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Kommunikation und Kybernetik in Einzeldarstellungen 2
    Series Statement: Communication and Cybernetics 2
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Computer science ; Language and languages—Style.
    Abstract: I. Signs and Symbols. The Linguistic Sign -- II. The Communication Process -- III. Preliminary Expression Analysis. Acoustic and Physiological Variables. Information -- IV. Segmentation. Forms of Expression. Oppositions and Distinctions. Paradigmatic Structures -- V. Redundancy and Relevancy. Levels of Abstraction -- VI. The Distinctive Feature Concept. The Binary Choice -- VII. Syntagmatic Structures. Distribution and Probability -- VIII. Content Analysis -- IX. The Functions of Language -- X. Perception and Linguistic Interpretation -- XI. Primitive Structures and Defective Language -- XII. Linguistic Change -- Bibliographical Notes -- Author Index.
    Abstract: The point of departure of this general survey of modern structural linguistics is the place of language in human relations. Linguistics will consequently be understood as a science of communication. My book is not intended as an elementary handbook. The readers are supposed to be in the first place advanced students of linguistics and phonetics and of neighbouring fields where a real awareness of linguistic methods and problems is essential (such as psychology, phoniatrics, speech therapy, language teaching, communication engineering). The book may, however, be of some value also for the general reader who is interested in language, in language learning, or in communication processes. It might finally serve as an introduction to structural theories and practice for those linguists of traditional orientation who would like to make contact with the new trends in the study of language. It is self-evident that, under such circumstances, any reader will find certain chapters in this book rather complicated, others irritatingly elementary. This is, however, unavoidable in a work whose aim is to cover a vast field of knowledge and to offer the reader a synthesis of what appears at first sight to be widely disparate facts and phenomena. Many of the facts brought together here may, regarded superficially, seem to have few or no mutual connections. They can, nevertheless, be combined into a wide humanistic and scientific unity within which numerous lines of relationship bind together physical and psychic, individual and social phenomena.
    DOI: 10.1007/978-3-642-88301-9
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  • 15
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    Approximation of Functions: Theory and Numerical Methods (1967)
    Berlin : Springer
    Details
    ISBN: 9783642856433
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 13
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: I. Linear Approximation -- § 1. The General Linear Approximation Problem -- § 2. Dense Systems -- § 3. General Theory of Linear Tchebycheff Approximation -- § 4. Special Tchebycheff Approximations -- § 5. Estimating the Magnitude of Error in Trigonometric and Polynomial Approximation -- § 6. Approximation by Polynomials and Related Functions -- § 7. Numerical Methods for Linear Tchebycheff Approximation -- II. Non-linear Approximation -- § 8. General Theory of Non-linear Tchebycheff Approximation -- § 9. Rational Approximation -- § 10. Exponential Approximation -- § 11. Segment Approximation.
    Abstract: for example, the so-called Lp approximation, the Bernstein approxima­ tion problem (approximation on the real line by certain entire functions), and the highly interesting studies of J. L. WALSH on approximation in the complex plane. I would like to extend sincere thanks to Professor L. COLLATZ for his many encouragements for the writing of this book. Thanks are equally due to Springer-Verlag for their ready agreement to my wishes, and for the excellent and competent composition of the book. In addition, I would like to thank Dr. W. KRABS, Dr. A. -G. MEYER and D. SCHWEDT for their very careful reading of the manuscript. Hamburg, March 1964 GUNTER MEINARDUS Preface to the English Edition This English edition was translated by Dr. LARRY SCHUMAKER, Mathematics Research Center, United States Army, The University of Wisconsin, Madison, from a supplemented version of the German edition. Apart from a number of minor additions and corrections and a few new proofs (e. g. , the new proof of JACKSON'S Theorem), it differs in detail from the first edition by the inclusion of a discussion of new work on comparison theorems in the case of so-called regular Haar systems (§ 6) and on Segment Approximation (§ 11). I want to thank the many readers who provided comments and helpful suggestions. My special thanks are due to the translator, to Springer-Verlag for their ready compliance with all my wishes, to Mr.
    DOI: 10.1007/978-3-642-85643-3
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  • 16
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    Scientific Research II : The Search for Truth (1967)
    Berlin : Springer
    Details
    ISBN: 9783642481383
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Studies in the Foundations Methodology and Philosophy of Science 3/2
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Science—Philosophy. ; Social sciences. ; Humanities.
    Abstract: III Applying Scientific Ideas -- 9. Explanation -- 10. Prediction -- 11. Action -- IV Testing Scientific Ideas -- 12. Observation -- 13. Measurement -- 14. Experiment -- 15. Concluding -- Author Index.
    Abstract: This volume is a logical sequel of Volume I, The Search for System: indeed, it concerns the ways theoretical systems are put to work and subjected to test. Yet it can be read independently by anyone familiar with some factual theories, referring back to Volume I when necessary. Special Symbols AS;B the set A is included in the set B AvB the union of the sets A and B AnB the common part of the sets A and B aEB the individual a is in (or belongs to) the set A Card (A) cardinality (numerosity) of the set A AxB Cartesian product of the sets A and B en(A) consequence(s) of the set A of assumptions equals by definition =dt definition Dt· some x (or there is at least one x such that) (3 x) e empirical datum e* translation of e into a semiempirical, semitheoreticallanguage h hypothesis m(r) measured value of the degree r m(;) average (or mean) value of a set of measured values of ,; P-jT T presupposes P p, q arbitrary (unspecified) propositions (statements) P(x) x has the property P (or x is a P) {xl P(x)} set of the x such that every x is a P pVq p and/or q (inclusive disjunction) p &q p and q (conjunction) p-+q if p, then q (conditional or implication) p if and only if q (biconditional or equivalence) p-q sum over i 2:; t theorem, testable consequence.
    DOI: 10.1007/978-3-642-48138-3
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  • 17
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    Viscometric Flows of Non-Newtonian Fluids : Theory and Experiment (1966)
    Berlin : Springer
    Details
    ISBN: 9783642886553
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 5
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: I. Introduction -- 1. Limitations of the Classical Theory of Navier and Stokes -- 2. Incompressible Simple Fluids -- 3. Plan and Scope of this Monograph -- II. Theory of Incompressible Simple Fluids -- 4. Kinematics -- 5. The Dynamical Equations -- 6. The Principle of Material Objectivity -- 7. The Definition of an Incompressible Simple Fluid -- 8. Static Behavior of Simple Fluids -- III. General Theory of Viscometric Flows -- 9. The Kinematics of Simple Shearing Flow -- 10. The Viscometric Functions -- 11. The Dynamics of Simple Shearing Flow; Viscosity -- 12. The Definition of a Viscometric Flow -- 13. Curvilineal Flows -- IV. Special Viscometric Flows -- 14. Flow through a Channel -- 15. General Properties of Helical Flows -- 16. Flows between Concentric Cylinders -- 17. Couette Flow -- 18. Flow between Stationary Concentric Cylinders -- 19. Poiseuille Flow -- 20. Normal Stress Effects at Free Boundaries -- 21. Cone and Plate Flow -- 22. Torsional Flow -- V. Experimental Methods and Results -- 23. General Considerations -- 24. Simple Shearing Flow -- 25. Couette Flow -- 26. Other Flows between Coaxial Cylinders -- 27. Poiseuille Flow -- 28. Cone and Plate Flow -- 29. Torsional Flow -- VI. Historical Remarks -- 30. History of the Development of the Theory -- 31. History of Experiments -- A. Appendix on Mathematical Concepts -- A 1. Vectors -- A 2. Bases, Linear Forms -- A 3. Points, Euclidean Space -- A 4. Tensors -- A 5. Multiplication of Tensors -- A 6. Transposition; Symmetric, Skew, and Orthogonal Tensors -- A 7. Traces and Determinants -- A 8. Point, Vector, and Tensor Functions -- A 9. Deformations, Gradients -- A 10. Coordinates -- A 11. Special Coordinate Systems -- References.
    Abstract: We here attempt to give a complete but concise treatment of the theory of steady viscometric flows of simple (non-Newtonian) fluids and to use that theory to discuss the design and interpretation of ex­ periments. We are able to present the theory with less mathematical machinery than was used in our original papers, partly because this Tract has more limited aims than those papers, and partly because we employ a method, found by Noll and published here for the first time, for dealing with visco metric flows without the apparatus of rela­ tive Cauchy-Green tensors and reduced constitutive equations. To make the theory accessible to students not familiar with modern mathematics, we have added to our Tract an appendix explaining some of the mathe­ matical concepts essential to continuum physics. Pittsburgh, July 1965 BERNARD D. COLEMAN HERSHEL MARKOVITZ WALTER NOLL CONTENTS I. Introduction page 1. Limitations of the Classical Theory of Navier and Stokes. 1 5 2. Incompressible Simple Fluids. . . . . . . . . . . . 3. Plan and Scope of this Monograph . . . . . . . . . 7 II. Theory of Incompressible Simple Fluids 4. Kinematics. . . . . . . . . . . . 10 5. The Dynamical Equations . . . . . . . . . . . 12 6. The Principle of Material Objectivity . . . . . . 14 7. The Definition of an Incompressible Simple Fluid . 17 8. Static Behavior of Simple Fluids . . . . . . . . 19 III. General Theory of Viscometric Flows 9. The Kinematics of Simple Shearing Flow 21 10. The Viscometric Functions . . . . . . . . . . 22 11. The Dynamics of Simple Shearing Flow; Viscosity 26 12. The Definition of a Viscometric Flow 29 13. Curvilineal Flows. . . . . . . . 30 1. Kinematical Description . . . .
    DOI: 10.1007/978-3-642-88655-3
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  • 18
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    The Advanced Theory of Language as Choice and Chance (1966)
    Berlin : Springer
    Details
    ISBN: 9783642883880
    Language: English
    Pages: Online-Ressource (XV, 459 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Kommunikation und Kybernetik in Einzeldarstellungen 4
    Series Statement: Communication and Cybernetics 4
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Computer science ; Sociolinguistics. ; Communication.
    Abstract: 1. Introduction -- 1.1. Historical sketch -- 1.2. Language as a mass phenomenon — ‘Quantity Survey’ of language -- 1.3. Chance as a factor of linguistic expression and language structure -- 1.4. Structuralism and statistical linguistics -- 1.5. Language as choice and chance -- 1.6. De Saussure’s ‘Principe Linéaire’ and geometrical duality -- 1.7. Literary statistics, a new branch of applied statistics -- 1.8. Plan of the book -- I. Language as Chance I — Statistical Linguistics -- 2. Stability of Linguistic Distributions -- 3. Explanation of Stability of Linguistic Distributions -- 4. Application of the Theory of Stability of Alphabetic Distributions to a Problem of Language Mixture -- II. Language as Choice I — Stylostatistics -- 5. Style as a Statistical Concept -- 6. Word Count Mathematics -- 7. Style Relationships — Bi-Variate Stylostatistics -- 8. A Guide to Stylo-statistical Investigations -- III. Language as Chance II — Optimal Systems of Language Structure -- III.(A) Combinatorics on the Phonemic (Alphabetic) Level -- 9. The Combinatorial Structure of Words -- 10. Optimality of the Word-Length Distribution -- 11. Combinatorics applied to Problems of Classical Poetry -- III.(B) Combinatorics on the Lexicon Level -- 12. Random Partitioning of Vocabulary — Vocabulary Connectivity -- 13. The Generalised Random Partitioning Function and Stylostatistics -- 14. The “New Statistics” on the Vocabulary Level -- III.(C) Information Theory -- 15. Principles of Information Theory -- 16. Information-Theoretical Analysis as a Tool of Linguistic Research -- 17. Language Translations as Bi-Variate Distributions of Coding Symbols -- IV. Language as Choice II — Linguistic Duality -- 18. The Four-fold Root of Linguistic Duality -- 19. Duality as Correcting Factor — Inadequacy of Truly SeiologicCodes -- 20. Duality and Language Translation -- V. Statistics for the Language Seminary -- V.(A) Statistics of Language in the Mass -- 21. Descriptive Statistics -- 22. Statistical Inference — The Binomial Case -- 23. Statistical Inference in the Case of Multiple Classification of Events -- 24. Theory of Correlation -- V. (B) Statistics of Language in the Line -- 25. The Dimension of Time in Language Statistics -- 26. Linguistic Duality and ‘Parity’ -- Appendix — A Survey of Past and Present-day Statistical Linguistics -- Author Index.
    Abstract: In trying to give an account of the statistical properties of language, one is faced with the problem of having to find the common thread which would show the many and multifarious forms of language statistic- embodied in scattered papers written by linguists, philosophers, mathe­ maticians, engineers, each using his own professional idiom - as belong­ ing to one great whole: quantitative linguistics. This means that the investigator has to find the system of this branch of science which would enable him to arrange the vast material in an orderly fashion, and present it as an organic whole. Such a system is conceived in this book, as comprising the following disciplines as the four main branches of literary statistics: Statistical Linguistics, Stylostatistics, Optimal Systems of Language Structure, and Linguistic Duality (Parts I-IV). The Introduction is meant to define the position of the book with regard to both, linguistics and statistics.
    DOI: 10.1007/978-3-642-88388-0
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  • 19
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    Magnetoelastic Interactions (1966)
    Berlin : Springer
    Details
    ISBN: 9783642873966
    Language: English
    Pages: Online-Ressource (VIII, 156 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 9
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Physics ; Mathematical physics.
    Abstract: I Fundamental Concepts and Definitions -- 1. Introduction -- 2. Magnetostatic Fundamentals -- 3. Concepts of Elasticity Theory -- 4. Thermodynamic Principles -- II Force and Stress Relations in a Deformable Magnetic Material -- 5. The Forces in General -- 6. Equilibrium in a Magnetizable Elastic Solid -- III The Energy Method -- 7. Formal Theory -- 8. Terms in the Free Energy -- 9. The Small-Displacement Approximation -- IV Applications -- 10. The Magnetostriction of a Uniformly Magnetized Ellipsoid -- 11. Problems of Micromagnetics -- Appendix A -- The Variation of the Magnetic Self-Energy -- Appendix B -- Proof of the Magnetic Reciprocity Theorem (11.32) -- Appendix C -- On Angular Velocity -- References -- Author Index.
    Abstract: The modern theory of ferromagnetic magnetization processes has from the beginning recognized the importance of magnetoelastic inter­ actions. Most of the magnetoelastic calculations, however, have been basecl on the theory developed by R. BECKER and others in the early 1930's. That theory has several defects; how to remedy them is the subject of this monograph. I first became aware of the shortcomings of the traditional theory thru a critical study of electric and magnetic forces, which I undcrtook as a member of the COULOMB'S Law Committee of the American Asso­ ciation of Physics Teachers. My conclusions were published in 1951 in the American 10Z/rnal of Physics; an application of them to a problem in magnetostriction was published in 1953 in Reviews oflvlodern Physics. With the development, in 1956, of the "nucleation field" theory of micromagnetics, the need for a systematic and self-consistent theory of magnetoelastic interactions became more pressing. The traditional theory predicted that the nucleation field should differ negligibly from that of a rigid body; but my 1953 magnetostriction calculation suggested that terms omitted in that theory might be important. In the academic year 1963/64, 1 was finally able - thanks to a sabbatical furlough - to find the time needed for systematic development of a basic theory of magnetoelastic interactions in a ferromagnet.
    DOI: 10.1007/978-3-642-87396-6
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  • 20
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    The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point (1965)
    Berlin : Springer
    Details
    ISBN: 9783642884122
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 7
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Physics ; Mathematical physics.
    Abstract: I: Single rigid body -- I: Heavy rigid body -- II: Self — excited rigid body -- III: Externally excited rigid body -- II: Several coupled rigid bodies -- IV: Gyrostats -- V: Gyroscope in a Cardan suspension -- III: Gyroscopes and artificial Earth satellites -- VI: Rigid body in a central Newtonian field of forces -- VII: Motion of an artificial Earth satellite about its mass center -- Author Index.
    Abstract: In the theory of motion of several coupled rigid bodies about a fixed point one can distinguish three basic ramifications. 1. The first, the so-called classical direction of investigations, is concerned with particular cases of integrability ot the equations of motion of a single rigid body about a fixed point,1 and with their geo­ metrical interpretation. This path of thought was predominant until the beginning of the 20th century and its most illustrious represen­ tatives are L. EULER (1707-1783), J L. LAGRANGE (1736-1813), L. POINSOT (1777-1859), S. V. KOVALEVSKAYA (1850-1891), and others. Chapter I of the present monograph intends to reflect this branch of investigations. For collateral reading on the general questions dealt with in this chapter the reader is referred to the following textbooks and reports: A. DOMOGAROV [1J, F. KLEIN and A. SOMMERFELD [11, 1 , 1 J, A. G. 2 3 GREENHILL [10J, A. GRAY [1J, R. GRAMMEL [4 J, E. J. ROUTH [21' 2 , 1 2 31' 32J, J. B. SCARBOROUGH [1J, and V. V. GOLUBEV [1, 2J.
    DOI: 10.1007/978-3-642-88412-2
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  • 21
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    Studies in Non-Linear Stability Theory (1965)
    Berlin : Springer
    Details
    ISBN: 9783642883170
    Language: English
    Pages: Online-Ressource , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Springer Tracts in Natural Philosophy 6
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: 1. Introduction -- 1.1 The notion of stability -- 1.2 The nature of non-linear stability problems -- 1.3 Formal approach to stability theory -- 2. A Class of Problems in One-Dimensional Space -- 2.1 Preliminary remarks -- 2.2 Formulation -- 2.3 Behaviour and properties of the linearized solutions -- 2.4 Series expansion in the case of self-adjoint operators -- 2.5 Series expansion in the case of not self-adjoint operators -- 2.6 Interpretation of the series expansion in terms of the Green’s function -- 2.7 The system of equations for the amplitude-functions -- 3. Behaviour of Solutions -- 3.1 Formal simplification of the system of equations -- 3.2 Stable and unstable stationary solutions -- 3.3 Effects of interactions. Forced solutions -- 3.4 Analysis of forced solutions -- 3.5 Instability to finite size perturbations -- 3.6 Other types of behaviour -- 4. Asymptotic Methods for Problems in One-Dimensional Space 2S -- 4.1 General outline -- 4.2 Weak stability or instability: the case aij(n) = 0 -- 4.3 Weak stability or instability: the case a0 0(0) = 0 -- 4.4 Weak stability and instability: the case a0 0(0) ? 0 -- 4.5 Method of approximation for the case of simple developed instability -- 4.6 Behaviour of solutions as functions of time -- 5. Analysis of Some One-Dimensional Problems -- 5.1 Introductory remarks -- 5.2 Burgers’ mathematical model of turbulence -- 5.3 Modification of Burgers’ model. The problem of stability -- 5.4 Asymptotic expansions in Burgers’ model -- 5.5 Another simple mathematical model -- 6. A Class of Problems in Two-Dimensional Space -- 6.1 Introductory remarks -- 6.2 Formulation -- 6.3 The problem of stability. Linearized theory -- 6.4 Fourier-analysis of the non-linear stability problem -- 6.5 Orthogonality relations -- 6.6 Initial conditions -- 7. Asymptotic Theory of Periodic Solutions -- 7.1 Basic equations and transformations -- 7.2 Forced solutions for the components ?m,m ? 1 -- 7.3 Analysis of the component ?1 -- 7.4 Further analysis of the forced solutions for ?m, m ? 1 -- 7.5 The equations of the asymptotic approximation -- 7.6 Harmonic solutions -- 7.7 A simple example -- 8. Stability of Periodic Solutions -- 8.1 Introduction -- 8.2 Formulation of the stability problem -- 8.3 Analysis of small parameters -- 8.4 Perturbations in the region ?0(k) = 0 (1) -- 8.5 Perturbations in the region ?0(k) = 0 (?2) -- 8.6 Reduction of the system of equations -- 8.7 Forced solutions for ?? ? and $$ {\psi _{2{k_0}}} \pm \varepsilon \sigma $$ -- 8.8 The equations for A0(k,) and A0(k,,) -- 8.9 Solution of the stability problem for k0 = kcr -- 8.10 Regions of validity of the asymptotic results -- 8.11 Stability of periodic solutions in the case k0 ? kcr -- 8.12 Summary and interpretation of results -- 9. Periodic Solutions in Poiseuille Flow -- 9.1 Introduction -- 9.2 Formulation of the stability problem -- 9.3 Linearized stability theory -- 9.4 The adjoint linearized problem -- 9.5 Periodic solutions -- 9.6 Discussion of the results.
    Abstract: Non-linear stability problems formulated in terms of non-linear partial differential equations have only recently begun to attract attention and it will probably take some time before our understanding of those problems reaches some degree of maturity. The passage from the more classical linear analysis to a non-linear analysis increases the mathematical complexity of the stability theory to a point where it may become discouraging, while some of the more usual mathematical methods lose their applicability. Although considerable progress has been made in recent years, notably in the field of fluid mechanics, much still remains to be done before a more permanent outline of the subject can be established. I have not tried to present in this monograph an account of what has been accomplished, since the rapidly changing features of the field make the periodical literature a more appropriate place for such a review. The aim of this book is to present one particular line of research, originally developed in a series of papers published in 'Journal de Mecanique' 1962-1963, in which I attempted to construct a mathematical theory for certain classes of non-linear stability problems, and to gain some understanding of the non-linear phenomena which are involved. The opportunity to collect the material in this volume has permitted a more coherent presentation, while various points of the analysis have been developed in greater detaiL I hope that a more unified form of the theory has thus been achieved.
    DOI: 10.1007/978-3-642-88317-0
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  • 22
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    Speech Analysis Synthesis and Perception (1965)
    Berlin : Springer
    Details
    ISBN: 9783662008492
    Language: English
    Pages: Online-Ressource (VIII, 317 p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Kommunikation und Kybernetik in Einzeldarstellungen 3
    Series Statement: Communication and Cybernetics 3
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Science (General) ; Social sciences. ; Humanities.
    Abstract: I. Voice Communication -- 1.1. The Advent of Telephony -- 1.2. Efficient Transmission of Speech -- 1.3. Capacity of the Human Channel -- 1.4. Analysis-Synthesis Telephony: An Approach to Improved Efficiency -- II. The Mechanism of Speech Production -- 2.1. Physiology of the Vocal Apparatus -- 2.2. The Sounds of Speech -- 2.3. Quantitative Description of Speech -- III. Acoustical Properties of the Vocal System -- 3.1. The Vocal Tract as an Acoustic System -- 3.2. Equivalent Circuit for the Lossy Cylindrical Pipe -- 3.3. The Radiation Load at the Mouth and Nostrils -- 3.4. Spreading of Sound About the Head -- 3.5. The Source for Voiced Sounds -- 3.6. The Source for Noise and Transient Excitation of the Tract. -- 3.7. Some Characteristics of Vocal Tract Transmission -- 3.8. Fundamentals of Speech and Hearing in Analysis-Synthesis Telephony -- IV. The Ear and Hearing -- 4.1. Mechanism of the Ear -- 4.2. Computational Models for Ear Operation -- 4.3. Illustrative Relations Between Subjective and Physiological Behavior -- V. Techniques for Speech Analysis -- 5.1. Spectral Analysis of Speech -- 5.2. Formant Analysis of Speech -- 5.3. Analysis of Voice Pitch -- 5.4. Articulatory Analysis of the Vocal Mechanism -- 5.5. Automatic Recognition of Speech -- 5.6. Automatic Speaker Recognition -- VI. Speech Synthesis -- 6.1. Mechanical Speaking Machines; Historical Efforts -- 6.2. Electrical Methods for Speech Synthesis -- VII. Perception of Speech and Speech-Like Sounds -- 7.1. Differential vs Absolute Discrimination -- 7.2. Differential Discriminations Along Signal Dimensions Related to Speech -- 7.3. Absolute Discrimination of Speech and Speech-Like Sounds.. -- 7.4. Effects of Context and Vocabulary Upon Speech Perception -- 7.5. The Perceptual Units of Speech -- 7.6. Articulation Tests for Transmission System Evaluation -- 7.7. Calculating Intelligibility Scores from System Response and Noise Level: The Articulation Index -- 7.8. Supplementary Sensory Channels for Speech Perception -- VIII. Systems for Analysis-Synthesis Telephony -- 8.1. Channel Vocoders -- 8.2. Reduced Redundancy Channel Vocoders -- 8.3. Voice-Excited Vocoders -- 8.4. Correlation Vocoders -- 8.5. Formant Vocoders -- 8.6. Articulatory Vocoders -- 8.7. Other Methods for Bandwidth Reduction -- References -- Author Index.
    Abstract: This book has its origin in a letter. In November of 1959, the late Prof. Dr. WERNER MEYER-EpPLER wrote to me, asking if I would contribute to a series he was planning on Communication. His book " Grundlagen und Anwendungen der Informationstheorie" was to serve as the initial volume of the series. After protracted consideration, I agreed to undertake the job provided it could be done outside my regular duties at the Bell Telephone Laboratories. Shortly afterwards, I received additional responsibilities in my research organization, and felt that I could not conveniently pursue the manuscript. Consequently, except for the preparation of a detailed outline, the writing was delayed for about a year and a half. In the interim, Professor MEYER-EpPLER suffered a fatal illness, and Professors H. WOLTER and W. D. KEIDEL assumed the editorial re­ sponsibilities for the book series. The main body of this material was therefore written as a leisurc­ time project in the years 1962 and 1963. The complete draft of the manuscript was duplicated and circulated to colleagues in three parts during 1963. Valuable comments and criticisms were obtained, revisions made, and the manuscript submitted to the publisher in March of 1964. The mechanics of printing have filled the remaining time. If the reader finds merit in the work, it will be owing in great measure to the people with whom I have had the good fortune to be associated.
    DOI: 10.1007/978-3-662-00849-2
    URL: Volltext  (lizenzpflichtig)
    URL: lizenzpflichtig
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