ALBERT

Note: Inhaltsverzeichnis = Table of contents = Table des matières. - Einleitung = Introduction = Introduction. - Bemerkungen zum Inhalt und zur Gestaltung des Buches = Comments on the Contents and lay-out of the book = Remarques quant au contenue et à la structure du livre. - Methode = Methods = Methode. - Oekogramm = Ecogram = Ecogramme. - Bestimmungsschlüssel = Identification key = Clé d'identification. - Charakterisierung der Makroreste = Description of the macro-remains = Description des macrorestes. - Weitere Makroreste = Further macro-remains = Autres macrorestes. - Literatur = Literature = Litterature. - Index der Arten = Index of species = Index des espèces. , Text dt., engl. u. franz.

Note: CONTENTS: PREFACE. - INTRODUCTION. - 1 DESCRIBING INVERSE PROBLEMS. - 1.1 Formulating Inverse Problems. - 1.2 The Linear Inverse Problem. - 1.3 Examples of Formulating Inverse Problems. - 1.4 Solutions to Inverse Problems. - 2 SOME COMMENTS ON PROBABILITY THEORY. - 2.1 Noise and Random Variables. - 2.2 Correlated Data. - 2.3 Functions of Random Variables. - 2.4 Gaussian Distributions. - 2.5 Testing the Assumption of Gaussian Statistics. - 2.6 Confidence Intervals. - 3 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 1: THE LENGTH METHOD. - 3.1 The Lengths of Estimates. - 3.2 Measures of Length. - 3.3 Least Squares for a Straight Line. - 3.4 The Least Squares Solution of the Linear Inverse Problem. - 3.5 Some Examples. - 3.6 The Existence of the Least Squares Solution. - 3.7 The Purely Underdetermined Problem. - 3.8 Mixed-Determined Problems. - 3.9 Weighted Measures of Length as a Type of A Priori Information. - 3.10 Other Types of A Priori Information. - 3.11 The Variance of the Model Parameter Estimates. - 3.12 Variance and Prediction Error of the Least Squares Solution. - 4 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 2: GENERALIZED INVERSES. - 4.1 Solutions versus Operators. - 4.2 The Data Resolution Matrix. - 4.3 The Model Resolution Matrix. - 4.4 The Unit Covariance Matrix. - 4.5 Resolution and Covariance of Some Generalized Inverses. - 4.6 Measures of Goodness of Resolution and Covariance. - 4.7 Generalized Inverses with Good Resolution and Covariance. - 4.8 Sidelobes and the Backus-Gilbert Spread Function. - 4.9 The Backus-Gilbert Generalized Inverse for the Underdetermined Problem. - 4.10 Including the Covariance Size. - 4.11 The Trade-off of Resolution and Variance. - 5 SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 3: MAXIMUM LIKELIHOOD METHODS. - 5.1 The Mean of a Group of Measurements. - 5.2 Maximum Likelihood Solution of the Linear Inverse Problem. - 5.3 A Priori Distributions. - 5.4 Maximum Likelihood for an Exact Theory. - 5.5 Inexact Theories. - 5.6 The Simple Gaussian Case with a Linear Theory. - 5.7 The General Linear, Gaussian Case. - 5.8 Equivalence of the Three Viewpoints. - 5.9 The F Test of Error Improvement Significance. - 5.10 Derivation of the Formulas of Section 5.7. - 6 NONUNIQUENESS AND LOCALIZED AVERAGES. - 6.1 Null Vectors and Nonuniqueness. - 6.2 Null Vectors of a Simple Inverse Problem. - 6.3 Localized Averages of Model Parameters. - 6.4 Relationship to the Resolution Matrix. - 6.5 Averages versus Estimates. - 6.6 Nonunique Averaging Vectors and A Priori Information. - 7 APPLICATIONS OF VECTOR SPACES. - 7.1 Model and Data Spaces. - 7.2 Householder Transformations. - 7.3 Designing Householder Transformations. - 7.4 Transformations That Do Not Preserve Length. - 7.5 The Solution of the Mixed-Determined Problem. - 7.6 Singular-Value Decomposition and the Natural Generalized Inverse. - 7.7 Derivation of the Singular-Value Decomposition. - 7.8 Simplifying Linear Equality and Inequality Constraints. - 7.9 Inequality Constraints. - 8 LINEAR INVERSE PROBLEMS AND NON-GAUSSIAN DISTRIBUTIONS. - 8.1 L1 Norms and Exponential Distributions. - 8.2 Maximum Likelihood Estimate of the Mean of an Exponential Distribution. - 8.3 The General Linear Problem. - 8.4 Solving L1 Norm Problems. - 8.5 The L [Infinity symbol] Norm. - 9 NONLINEAR INVERSE PROBLEMS. - 9.1 Parameterizations. - 9.2 Linearizing Parameterizations. - 9.3 The Nonlinear Inverse Problem with Gaussian Data. - 9.4 Special Cases. - 9.5 Convergence and Nonuniqueness of Nonlinear L2 Problems. - 9.6 Non-Gaussian Distributions. - 9.7 Maximum Entropy Methods. - 10 FACTOR ANALYSIS. - 10.1 The Factor Analysis Problem. - 10.2 Normalization and Physicality Constraints. - 10.3 Q-Mode and R-Mode Factor Analysis. - 10.4 Empirical Orthogonal Function Analysis. - 11 CONTINUOUS INVERSE THEORY AND TOMOGRAPHY. - 11.1 The Backus-Gilbert Inverse Problem. - 11.2 Resolution and Variance Trade-off. - 11.3 Approximating Continuous Inverse Problems as Discrete Problems. - 11.4 Tomography and Continuous Inverse Theory. - 11.5 Tomography and the Radon Transform. - 11.6 The Fourier Slice Theorem. - 11.7 Backprojection. - 12 SAMPLE INVERSE PROBLEMS. - 12.1 An Image Enhancement Problem. - 12.2 Digital Filter Design. - 12.3 Adjustment of Crossover Errors. - 12.4 An Acoustic Tomography Problem. - 12.5 Temperature Distribution in an Igneous Intrusion. - 12.6 L1, L2, and L [infinity symbol] Fitting of a Straight Line. - 12.7 Finding the Mean of a Set of Unit Vectors. - 12.8 Gaussian Curve Fitting. - 12.9 Earthquake Location. - 12.10 Vibrational Problems. - 13 NUMERICAL ALGORITHMS. - 13.1 Solving Even-Determined Problems. - 13.2 Inverting a Square Matrix. - 13.3 Solving Underdetermined and Overdetermined Problems. - 13.4 L2 Problems with Inequality Constraints. - 13.5 Finding the Eigenvalues and Eigenvectors of a Real Symmetric Matrix. - 13.6 The Singular-Value Decomposition of a Matrix. - 13.7 The Simplex Method and the Linear Programming Problem. - 14 APPLICATIONS OF INVERSE THEORY TO GEOPHYSICS. - 14.1 Earthquake Location and the Determination of the Velocity Structure of the Earth from Travel Time Data. - 14.2 Velocity Structure from Free Oscillations and Seismic Surface Waves. - 14.3 Seismic Attenuation. - 14.4 Signal Correlation. - 14.5 Tectonic Plate Motions. - 14.6 Gravity and Geomagnetism. - 14.7 Electromagnetic Induction and the Magnetotelluric Method. - 14.8 Ocean Circulation. - APPENDIX A: Implementing Constraints with Lagrange Multipliers. - APPENDIX B: L2 Inverse Theory with Complex Quantities. - REFERENCES. - INDEX

Note: Geophysics of the Caledonian-Appalachian Orogen --- R. T. Haworth, R. Hipkin, R. D. Jacobi, M. Kane, J. P. Lefort, M. D. Max, H. G. Miller, and F. Wolff: Geophysical framework and the Appalachian-Caledonide connection / Geological Society, London, Special Publications, 38:3-20, doi:10.1144/GSL.SP.1988.038.01.01 --- F. A. Cook, D. H. Matthews, and A. W. B. Jacob: Crustal and upper mantle structure of the Appalachian-Caledonide orogen from seismic results / Geological Society, London, Special Publications, 38:21-33, doi:10.1144/GSL.SP.1988.038.01.02 --- J. C. Briden, D. V. Kent, P. L. Lapointe, J. L. Roy, R. A. Livermore, A. G. Smith, M. K. Seguin, R. Van der Voo, and D. R. Watts: Palaeomagnetic constraints on the evolution of the Caledonian-Appalachian orogen / Geological Society, London, Special Publications, 38:35-48, doi:10.1144/GSL.SP.1988.038.01.03 --- J. P. Lefort, M. D. Max, and J. Roussel: Geophysical evidence for the location of the NW boundary of Gondwanaland and its relationship with two older satellite sutures / Geological Society, London, Special Publications, 38:49-60, doi:10.1144/GSL.SP.1988.038.01.04 --- Pre-Arenig Activity in the Caledonian-Appalachian Orogen --- Derek Powell, T. B. Andersen, A. A. Drake, Jr, Leo Hall, and J. D. Keppie: The age and distribution of basement rocks in the Caledonide orogen of the N Atlantic / Geological Society, London, Special Publications, 38:63-74, doi:10.1144/GSL.SP.1988.038.01.05 --- Frederic L. Schwab, Johan P. Nystuen, and Linda Gunderson: Pre-Arenig evolution of the Appalachian-Caledonide orogen: sedimentation and stratigraphy / Geological Society, London, Special Publications, 38:75-91, doi:10.1144/GSL.SP.1988.038.01.06 --- S. Conway Morris and A. W. A. Rushton: Precambrian to Tremadoc biotas in the Caledonides / Geological Society, London, Special Publications, 38:93-109, doi:10.1144/GSL.SP.1988.038.01.07 --- Nicholas Rast, B. A. Sturt, and A. L. Harris: Early deformation in the Caledonian-Appalachian orogen / Geological Society, London, Special Publications, 38:111-122, doi:10.1144/GSL.SP.1988.038.01.08 --- Ben Harte: Lower Palaeozoic metamorphism in the Moine-Dalradian belt of the British Isles / Geological Society, London, Special Publications, 38:123-134, doi:10.1144/GSL.SP.1988.038.01.09 --- Inge Bryhni: Early Palaeozoic metamorphism in the Scandinavian Caledonides / Geological Society, London, Special Publications, 38:135-140, doi:10.1144/GSL.SP.1988.038.01.10 --- Jo Laird: Pre-Arenig metamorphism in the Appalachians / Geological Society, London, Special Publications, 38:141-147, doi:10.1144/GSL.SP.1988.038.01.11 --- D. W. Rankin, Harald Furnes, A. C. Bishop, B. Cabanis, D. J. Milton, S. J. O’Brien, and R. S. Thorpe: Plutonism and volcanism related to the pre-Arenig evolution of the Caledonide-Appalachian orogen / Geological Society, London, Special Publications, 38:149-183, doi:10.1144/GSL.SP.1988.038.01.12 --- James W. Skehan: Evolution of the Iapetus Ocean and its borders in pre-Arenig times: a synthesis / Geological Society, London, Special Publications, 38:185-229, doi:10.1144/GSL.SP.1988.038.01.13 --- Arenig-Wenlock Activity in the Caledonian-Appalachian Orogen --- R. A. Fortey and L. R. M. Cocks: Arenig to Llandovery faunal distributions in the Caledonides / Geological Society, London, Special Publications, 38:231-246, doi:10.1144/GSL.SP.1988.038.01.14 --- David L. Bruton and David A. T. Harper: Arenig-Llandovery stratigraphy and faunas across the Scandinavian Caledonides / Geological Society, London, Special Publications, 38:247-268, doi:10.1144/GSL.SP.1988.038.01.15 --- Robert B. Neuman: Palaeontological evidence bearing on the Arenig-Caradoc development of the Iapetus Ocean basin / Geological Society, London, Special Publications, 38:269-274, doi:10.1144/GSL.SP.1988.038.01.16 --- C. J. Stillman: Ordovician to Silurian volcanism in the Appalachian—Caledonian orogen / Geological Society, London, Special Publications, 38:275-290, doi:10.1144/GSL.SP.1988.038.01.17 --- Leo M. Hall and David Roberts: Timing of Ordovician deformation in the Caledonian-Appalachian orogen / Geological Society, London, Special Publications, 38:291-309, doi:10.1144/GSL.SP.1988.038.01.18 --- Jo Laird: Arenig to Wenlock age metamorphism in the Appalachians / Geological Society, London, Special Publications, 38:311-345, doi:10.1144/GSL.SP.1988.038.01.19 --- G. J. H. Oliver: Arenig to Wenlock regional metamorphism in the Paratectonic Caledonides of the British Isles: a review / Geological Society, London, Special Publications, 38:347-363, doi:10.1144/GSL.SP.1988.038.01.20 --- R. D. Dallmeyer: Polyphase tectonothermal evolution of the Scandinavian Caledonides / Geological Society, London, Special Publications, 38:365-379, doi:10.1144/GSL.SP.1988.038.01.21 --- David R. Wones and A. K. Sinha: A brief review of early Ordovician to Devonian plutonism in the N American Caledonides / Geological Society, London, Special Publications, 38:381-388, doi:10.1144/GSL.SP.1988.038.01.22 --- W. E. Stephens: Granitoid plutonism in the Caledonian orogen of Europe / Geological Society, London, Special Publications, 38:389-403, doi:10.1144/GSL.SP.1988.038.01.23 --- W. S. McKerrow: The development of the Iapetus Ocean from the Arenig to the Wenlock / Geological Society, London, Special Publications, 38:405-412, doi:10.1144/GSL.SP.1988.038.01.24 --- Wenlock to Mid-Devonian Activity in the Caledonian-Appalachian Orogen --- M. F. Thirlwall: Wenlock to mid-Devonian volcanism of the Caledonian-Appalachian orogen / Geological Society, London, Special Publications, 38:415-428, doi:10.1144/GSL.SP.1988.038.01.25 --- David Roberts: Timing of Silurian to middle Devonian deformation in the Caledonides of Scandinavia, Svalbard and E Greenland / Geological Society, London, Special Publications, 38:429-435, doi:10.1144/GSL.SP.1988.038.01.26 --- W.S. McKerrow: Wenlock to Givetian deformation in the British Isles and the Canadian Appalachians / Geological Society, London, Special Publications, 38:437-448, doi:10.1144/GSL.SP.1988.038.01.27 --- P. H. Osberg: Silurian to Lower Carboniferous tectonism in the Appalachians of the USA / Geological Society, London, Special Publications, 38:449-452, doi:10.1144/GSL.SP.1988.038.01.28 --- Peter Robinson, R. J. Tracy, D. S. Santallier, P.-G. Andreasson, and J. I. Gil-Ibarguchi: Scandian-Acadian-Caledonian sensu strictu metamorphism in the age range 430–360 Ma / Geological Society, London, Special Publications, 38:453-467, doi:10.1144/GSL.SP.1988.038.01.29 --- D. V. Kent and J. D. Keppie: Silurian-Permian palaeocontinental reconstructions and circum-Atlantic tectonics / Geological Society, London, Special Publications, 38:469-480, doi:10.1144/GSL.SP.1988.038.01.30 --- N. J. Soper: Timing and geometry of collision, terrane accretion and sinistral strike-slip events in the British Caledonides / Geological Society, London, Special Publications, 38:481-492, doi:10.1144/GSL.SP.1988.038.01.31 --- J. Chaloupský: Caledonian folding in the Bohemian Massif / Geological Society, London, Special Publications, 38:493-498, doi:10.1144/GSL.SP.1988.038.01.32 --- Robert D. Hatcher, Jr: The third synthesis: Wenlock to mid-Devonian (end of Acadian orogeny) / Geological Society, London, Special Publications, 38:499-504, doi:10.1144/GSL.SP.1988.038.01.33 --- Mid-Devonian-Permian Activity in the Caledonian-Appalachian Orogen --- Robert D. Hatcher, Jr: Basement-cover relationships in the Appalachian-Caledonian-Variscan orogen: mid-Devonian (end of Acadian orogeny) to end of Permian / Geological Society, London, Special Publications, 38:507-514, doi:10.1144/GSL.SP.1988.038.01.34 --- William A. Thomas and Paul E. Schenk: Late Palaeozoic sedimentation along the Appalachian orogen / Geological Society, London, Special Publications, 38:515-530, doi:10.1144/GSL.SP.1988.038.01.35 --- K. C. Allen and D. L. Dineley: Mid-Devonian to mid-Permian floral and faunal regions and provinces / Geological Societ

Note: Gondwana, comprising more than 64% of the present day continental mass, is home to 33% of large igneous provinces (LIPs) and key to understanding the lithosphere–atmosphere system and related tectonics that influenced global climate and sediment production on Earth. Gondwana has many of the largest LIPs, with areas of 200 000 to 2 000 000 km2. Several Gondwana LIPs erupted near active continental margins as well as within continents. The rifting of continents continued even after LIP emplacement or was aborted by a coeval compression and did not open into an ocean. Important contemporary frontiers include understanding significant amounts of synchronous silicic volcanic rocks in mafic LIPs, bringing better stratigraphic constraints supported by precise age dating and volume estimation of LIPs, the possible link between LIP emplacement and biotic crisis, refinement of the existing petrogenetic models and assessing large eruptions and associated societal risk. This volume covers topics on magma emplacements, petrology and geochemistry, source characteristics, flood basalt–carbonatite linkage, tectonics and geochronology of LIPs distributed in Gondwana continents. | Contents: Gondwana Large Igneous Provinces (LIPs): distribution, diversity and significance / Sarajit Sensarma, Bryan C. Storey and Vivek P. Malviya / Geological Society, London, Special Publications, 463, 1-16, 27 November 2017, https://doi.org/10.1144/SP463.11 --- Gondwana Large Igneous Provinces: plate reconstructions, volcanic basins and sill volumes / H. H. Svensen, T. H. Torsvik, S. Callegaro, L. Augland, T. H. Heimdal, D. A. Jerram, S. Planke and E. Pereira / Geological Society, London, Special Publications, 463, 17-40, 30 August 2017, https://doi.org/10.1144/SP463.7 --- The Ferrar Large Igneous Province: field and geochemical constraints on supra-crustal (high-level) emplacement of the magmatic system / David H. Elliot and Thomas H. Fleming / Geological Society, London, Special Publications, 463, 41-58, 10 July 2017, https://doi.org/10.1144/SP463.1 --- The Panjal Traps / J. Gregory Shellnutt / Geological Society, London, Special Publications, 463, 59-86, 6 July 2017, https://doi.org/10.1144/SP463.4 --- Mantle source heterogeneity in continental mafic Large Igneous Provinces: insights from the Panjal, Rajmahal and Deccan basalts, India / K. Vijaya Kumar, More B. Laxman and K. Nagaraju / Geological Society, London, Special Publications, 463, 87-116, 11 July 2017, https://doi.org/10.1144/SP463.5 --- Imprints of modal metasomatism in the post-Deccan subcontinental lithospheric mantle: petrological evidence from an ultramafic xenolith in an Eocene lamprophyre, NW India / Rohit Pandey, N. V. Chalapathi Rao, Dinesh Pandit, Samarendra Sahoo and Prashant Dhote / Geological Society, London, Special Publications, 463, 117-136, 5 July 2017, https://doi.org/10.1144/SP463.6 --- Origin of the Amba Dongar carbonatite complex, India and its possible linkage with the Deccan Large Igneous Province / Jyoti Chandra, Debajyoti Paul, Shrinivas G. Viladkar and Sarajit Sensarma / Geological Society, London, Special Publications, 463, 137-169, 10 July 2017, https://doi.org/10.1144/SP463.3 --- Mineralogy, geochemistry and geochronology of mafic magmatic enclaves and their significance in evolution of Nongpoh granitoids, Meghalaya, NE India / Mohd. Sadiq, Ravi K. Umrao, B. B. Sharma, S. Chakraborti, S. Bhattacharyya and A. Kundu / Geological Society, London, Special Publications, 463, 171-198, 6 July 2017, https://doi.org/10.1144/SP463.2 --- Regional volcanism of northern Zealandia: post-Gondwana break-up magmatism on an extended, submerged continent / N. Mortimer, P. B. Gans, S. Meffre, C. E. Martin, M. Seton, S. Williams, R. E. Turnbull, P. G. Quilty, S. Micklethwaite, C. Timm, R. Sutherland, F. Bache, J. Collot, P. Maurizot, P. Rouillard and N. Rollet / Geological Society, London, Special Publications, 463, 199-226, 16 August 2017, https://doi.org/10.1144/SP463.9 --- Modelling basalt weathering at elevated CO2 concentrations: implications for terminal to post-magmatic rifting in the Deccan Traps, Kachchh, India / Kaushik Mitra, Souvik Mitra, Saibal Gupta, Satadru Bhattacharya, Prakash Chauhan and Nirmala Jain / Geological Society, London, Special Publications, 463, 227-241, 17 July 2017, https://doi.org/10.1144/SP463.8 --- Geochemical and Sm–Nd isotopic constraints on the petrogenesis and tectonic setting of the Proterozoic mafic magmatism of the Gwalior Basin, central India: the influence of Large Igneous Provinces on Proterozoic crustal evolution / Jwellys D. Samom, Talat Ahmad and A. K. Choudhary / Geological Society, London, Special Publications, 463, 243-268, 10 July 2017, https://doi.org/10.1144/SP463.10