ALBERT

Note: Contents: List of Figures. - List of Tables. - 1. Introduction. - a. An Overview of Principal Component Analysis (PCA). - b. Outline of the Book. - c. A Brief History of PCA. - d. Acknowledgments. - 2. Algebraic Foundations of PCA. - a. Introductory Example: Bivariate Data Sets. - Monterey, California air temperatures. - Centering and rotating the data set. - Variances in the rotated frame. - Principal angles. - Principal variances. - Principal covariance. - Principal directions. - Principal components; principal directions as basis vectors. - Matrix representation. - The PCA property. - Invariance of the total variance under rotation. - Principal variances for standardized data sets. - PCA and estimates of the statistical parameters of normal populations. - PCA and the construction of Monte Carlo experiments. - Eigenvalues and eigenvectors of the covariance and scatter matrices. - b. Principal Component Analysis: Real-valued Scalar Fields. - t-centering the data set. - The scatter probe and the scatter matrix. - The eigenstructures of PCA. - The basic data set representations; analysis and synthesis formulas. - The PCA property. - Second-order properties of PCA; the total scatter . - The singular value decomposition (SVD) of a data set. - Second-order properties of PCA; correlations. - PCA characterized by the PCA property. - The asymptotic PCA property and dynamical systems. - PCA of spatial composites of data sets. - PCA of temporal composites of data sets. - c. Principal Component Analysis: Complex-valued Scalar Fields, and Beyond. - PCA of complex-valued data sets (C-PCA). - Complex algebra conventions. - The scatter probe and scatter matrix for C-PCA. - Derivation of the eigenstructures of C-PCA. - The fundamental formulas of C-PCA. - Generalization of PCA to quaternion-valued data sets (Q-PCA). - Matrix representations of complex and quaternion numbers. - PCA of matrix-valued data sets (M-PCA). - Reduction of M-PCA to C-PCA form. - d. Bibliographic Notes and Miscellaneous Topics. - Alternate interpretation of the scatter probe. - Numerical calculations of eigenstructures of a scatter matrix. - Some elementary properties of eigenstructures of a scatter matrix. - Sample space vs. state space: choosing the dual computation. - PCA for continuous domains. - PCA for continuous domains: the viewpoint of empirical orthogonal functions. - The sixteen possible domain pairs for PCA: abstract PCA. - 3. Dynamical Origins of PCA. - a. One-dimensional Hannonic Motion. - A spring-linked-mass model; general form. - A spring-linked-mass model; special form. - A numerical example of the asymptotic PCA property. - Further investigations of the asymptotic PCA property and of EOF's. - b. Two-dimensional Wave Motion. - Solution of a two-dimensional damped-wave model. - Demonstration of the asymptotic PCA property (forcing and friction absent). - Demonstration of the asymptotic PCA property (forcing and friction present). - Physical basis for eigenframe rotations. - c. Dynamical Origins of Linear Regression (LR). - From continuous to discrete solutions to the regression model. - The linear regression procedure. - Comparison of LRA and PCA. - d. Random Processes and Karhunen-Loeve Analysis. - Origins of random processes in linear settings. - Karhunen-Loeve representation of random data sets and comparison with PCA. - e. Stationary Processes and PCA. - Derivation of the PCA representation of a one-dimensional stationary process via a simple wave model. - Connections between PCA and stationary processes: the case of one dimension. - Connections between PGA and stationary processes: extension to two dimensions. - f. Bibliographic Notes. - 4. Extensions of PCA to Multivariate Fields. - a. Categories of Data and Modes of Analysis. - Examples. - Generalized notation: the concepts of "individual" and "variable" in PCA. - b. Local PCA of a General Vector Field. - The PCA formalism. - Squared correlations. - Variational origin of the scatter matrix. - Examples. - c. Global PCA of a General Vector Field: Time-Modulation Form. - The PGA formalism. - Squared correlations. - Degeneracy of global PGA to local PGA. - Variational origin of the scatter matrix. - d. Global PCA of a General Vector Field: Space-Modulation Form. - The PCA formalism. - Squared correlations. - Variational origin of the scatter matrix. - e. PCA of Spectral Components of a General Vector Field. - Fourier analysis of the vector field components. - The scatter matrix in the spectral setting. - Example of spectral PCA of a windfield. - f. Bibliographic Notes and Miscellaneous Topics. - The eight modes of analysis and Cattell's classifications. - Time-modulation PGA as a special case of matrix-valued PGA. - Applications to the PGA of wind fields. - Distinction between time-modulation PGA and complex PGA. - Applications to the PGA of storm tracks. - 5. Selection Rules for PCA. - a. Random Reference Data Sets. - b. Dynamical Origins of the Dominant-Variance Selection Rules. - A dynamical model. - Rationale for selection rules. - c. Rule A4. - Statistical basis and discussion. - Choice of λ0. - d. Rule N . - Statistical basis and discussion. - Adjustments for correlated data: effective sample size. - Asymptotic eigenvalues for large data sets. - e. Rule M. - f. Comments on Dominant-Variance Rules . - g. Dynamical Origins of the Time-History Selection Rules. - h. Rule KS2. - The white spectrum and the cumulative periodogram. - Statement of Rule KS2. - i. Rules AMPλ. - Fisher's test. - Siegel's test. - Statement of Rules AMPλ. - j. Rule Q. - k. Selection Rules for Vector-Valued Fields. - Local PCA rules. - Global PCA (time-modulated) rules. - Global PCA (space-modulated) rules. - I. A Space-map Selection Rule. - Canonic direction angles. - Differential relations between unit vectors and canonic direction angles. - An r-tile metric for comparing canonic direction angles. - Statistical aspects: critical values for class errors. - Statement of the selection rule. - m. Bibliographic Notes and Miscellaneous Topics. - Puzzles and problems underlying Rule N; the logarithmic eigenvalue curve. - Numerical intractability of the classical formulas for the eigenvalues of a random matrix. - Monte Carlo approaches to the eigenvalue distribution problem. - Comparison of Monte Carlo methods and asymptotic formulas for eigenvalue distributions. - The problem of closely spaced eigenvalues; tests for equal eigenvalues. - The generalized basis for dominant variance selection rules. - Parallel work in atomic physics. - 6. Factor Analysis (FA) and PCA. - a. Comparison of PCA, LRA, and FA. - Similarities between PCA, LRA, and FA. - Dissimilarities between PCA, LRA, and FA. - The usual algebraic form of FA; its PC and LR interpretations. - b. The Central Problems of FA. - The matrix formulation of FA. - The detailed sub-problems of FA. - c. Bibliographic Notes. - The selection rule problem in FA. - The parameter estimation problem in FA. - 7. Diagnostic Procedures via PCA and FA. - a. Dual Interpretations of a Data Set: State Space and Sample Space. - b. Interpreting E-frames in PCA State Space. - Example: graphical display of eigenvectors. - Rationales for interpreting eigenmaps and time series. - PCA as a means, rather than an end. - c. Informative and Uninformative E-frames in PCA State Space. - d. Rotating E-frames in PCA State Space (varimax). - A two-dimensional example of the varimax procedure. - The general varimax procedure. - The loss of the PCA property for rotated E-frames. - e. Projections onto E-frames in PCA State Space (procrustes). - Derivation of the procrustes technique. - Some observations on the generality of the procrustes technique. - f. Interpreting A-frames in PCA Sample Space. - g. Rotating A-frames in PCA Sample Space (varimax). - h. Projections onto A-frames in PCA Sample Space (procrustes). - i. Detecting Clusters of Points in PCA State or Sample Spaces. - Minimal spanning trees. - Defining cluster pairs, and te

Note: INHALTSVERZEICHNIS: Einleitung u. Vorbemerkungen . - I. KNOCHENBRÜCHE UND VERRENKUNGEN. - 1.00 Knochenbrüche (nur die häufigsten). - 1.10 Geschlossene Knochenbrüche. - 1.11 Radiusfraktur. - 1.12 Schlüsselbeinbruch. - 1.13 Fingerbrüche. - 1.14 Zehenbrüche. - 1.15 Außenknöchelbruch (Verletzungen am Außenknöchel). - 1.20 Offene Knochenbrüche (allgemeine Behandlungs­grundsätze). - 2.00 Verrenkungen (Schulter). - 3.00 Nasenbluten (Methoden der Blutstillung). - 4.00 Schädelverletzungen (Allgemeines). - 4.10 Schädelhirntrauma (Leitsymptome). - 4.11 Vorgehen. - 4.20 Befunderhebungsbogen (Glasgow-Coma-Scale). - 5.00 Sonstige Verletzungen. - 5.10 Stark blutendeWunden. - 5.20 Offene Thoraxverletzungen. - 5.30 Offene Bauchverletzungen. - II. THERMISCHE SCHÄDEN. - 1.00 Verbrennungen. - 1.10 Sonnenbrand. - 1.20 Verblitzen der Augen (Schneeblindheit). - 2.00 Erfrierungen. - 3.00 Unterkühlung. - III. SCHÄDIGUNG DURCH CHEMIKALIEN (Vergiftung). - 1.00 Vergiftung durch Benzin und Diesel. - 1.10 Einwirkung von Batteriesäure. - 1.20 Rauch und Reizgasvergiftung. - IV. SONSTIGES. - 1.00 Appendicitis. - 2.00 Zahnschmerzen. - 3.00 Eingeschleppte Infektionserkrankungen. - 3.10 Malaria. - V. TECHNIKEN. - 1.00 Zur Technik der intramuskulären Injektion. - 2.00 Das Anlegen einer Infusion. - 3.00 Die Anwendung der Kramerschiene. - Anhang. - Die Ausstattung der Sankiste.

Note: Inhaltsverzeichnis 1. Einleitende Übersicht 2. Nationale und internationale Zusammenarbeit 3. Forschungsarbeiten 3.1 Expeditionen 3.1.1 ANT 1V/3 (mit Kottas-und Filchner-Expeditionen) 3.1.2 ANT IV/4 3.1.3 ANT V/1, 2, 3 Die erste Winter-Weddellmeer-Expedition 3.1.4 ANT V/4 3.1.5 ANT V/5 3.1.6 ARK IV 3.2 Forschungsarbeiten der Sektionen 3.2.1 Biologie I (Zoologie) 3.2.2 Biologie II (Botanik + Mikrobiologie) 3.2.3 Chemie 3.2.4 Geologie 3.2.5 Geophysik, Glaziologie 3.2.6 Meeresphysik und Meßwesen 3.2.7 Theoretische Physik des Ozeans und der Atmosphäre 3.2.8 Experimentelle Physik des Ozeans und der Atmosphäre 3.3 Aus den Forschungsarbeiten 4. Logistik 4.1 Antarktisstationen 4.2 FS "Polarstern" und FS "Victor Hensen" 4.3 Flugzeuge und Hubschrauber 4.4 Schneefahrzeuge 4.5 Hafenlager 5. Zentrale Einrichtungen 5.1 Öffentlichkeitsarbeit 5.2 Bibliothek 5.3 Rechenzentrum 5.4 Elektroniklabor 6. Personeller Aufbau des Instituts und Entwicklung des Institutshaushalts in den Jahren 1986 und 1987 6.1 Personal 6.2 Haushalt Anhang I Anhang II Anhang III Anhang IV Anhang V

Note: Inhaltsverzeichnis: AUFGABEN, ZIELE UND RESSOURCEN DES INSTITUTS = Objectives, Targets, and Resources of the Institute. - 1. DAS GEKOPPELTE SYSTEM : OZEAN-ATMOSPHÄRE-KRYOSPHÄRE = The coupled system : Ocean-Atmosphere-Cryosphere. - 1.1 PHYSIKALISCHE PROZESSE IN DEN POLARMEEREN = Physical processes in polar seas. - 1.1.1 Modeliierung der thermohalinen Zirkulation und Spurenstoffausbreitung = Modelling of thermohaline and trace matter circulation. - 1.1.2 Bestimmung der ozeanischen Zirkulation aus Beobachtungen = Determination of ocean circulation from observations. - 1.1.3 Transformation und Ausbreitung von Wassermassen im südlichen Atlantischen Ozean = Transformation and distribution of water masses in the southern Atlantic Ocean. - 1.1.4 Thermohaliner Aufbau und Zirkulation des Nordpolarmeers = Thermohaline structure and circulation of the Arctic Ocean. - 1.1.5 Untersuchung von Küstenpolynyas: Nordwasser-Polynya = lnvestigation of coastal polynyas: North water. - 1.1.6 Transporte und Wassermassenbildung in der Grönlandsee = Transports and formation of water masses in the Greenland Sea. - 1.1.7 Modellierung von Konvektion im Ozean = Modelling of convection in the ocean. - 1.1.8 Variationen des anorganischen Kohlenstoffs in der ozeanischen Deckschicht = Variations of anorganic carbon in the oceanic surface layer. - 1.1.9 Die großräumige Verteilung des Meereises und ihre zeitliche Entwicklung in der Arktis und Antarktis = The large-scale distribution of sea-ice and its evolution in time in the Arctic and Antarctic. - 1.1.10 Die Mikrostruktur des Meereises und ihre physikalischen Auswirkungen = Sea-ice micro-structure and its physical effects. - 1.1.11 Neue Methoden zur Bestimmung der Meereisdicke und ihre Erprobung unter verschiedenen Umgebungsbedingungen = New methods to determine sea-ice thickness and their testing under different environmental conditions. - 1.2 PHYSIKALISCHE UND CHEMISCHE PROZESSE IN DER POLAREN ATMOSPHÄRE = Physical and chemical processes in the polar atmosphere. - 1.2.1 Einfluß heterogener Randbedingungen auf die Turbulenz und die mittleren Größen in der atmosphärischen Grenzschicht = lnfluence of heterogeneaus boundary conditions on turbulence and mean values in the atmospheric boundary layer. - 1.2.2 Die Wirkung von Wolken und Dunst auf den Ozean-Atmosphären-Austausch in Meereisregionen = The effect of clouds and haze on the ocean-atmosphere exchange in sea-ice covered regions. - 1.2.3 Spurenstoffe und Ozon in der polaren Stratosphäre = Trace matters and ozone in the polar atmosphere. - 1.2.4 Die Zirkulation der Stratosphäre über der Arktis und ihr Einfluß auf die Ozonkonzentration = Stratospheric circulation over the Arctic and its influence on ozone concentration. - 1.2.5 Arktischer Dunst und troposphärische Spurenstoffe = Arctic haze and tropospheric trace matter. - 1.2.6 Modellierung von Klimaprozessen der arktischen Tropo- und Stratosphäre = Modelling of climatic processes in the Arctic troposphere and stratosphere. - 1.2.7 Niederfrequente Variabilität der atmosphärischen Zirkulation in polaren Breiten = Low frequency variability of atmospheric eirculation in polar latitudes. - 1.3 PHYSIKALISCHER AUFBAU, MASSENHAUSHALT UND DYNAMIK VON SCHELF- UND INLANDEISEN = Physical structure, mass balance and dynamics of ice shelves and inland-ice. - 1.3.1 Zirkulation und Wassermassentransformation unter dem Filchner-Ronne-Schelfeis = Circulation and transformation of water masses under the Filchner-Ronne Ice Shelf. - 1.3.2 Die physikalischen Eigenschaften, der Massenhaushalt und das Bewegungsfeld des Filchner-Ronne- und des Ekström-Schelfeises = Physical properties, mass balance and dynamics of the Filchner-Ronne and Ekström Ice Shelves. - 1.3.3 Wechselwirkung zwischen Inlandeis und antarktischen Oasen am Beispiel der Schirmacheroase = Interaction between inland ice and Antarctic oases, e.g. at Schirmacher Oasis. - 1.3.4 Numerische Modellierung von Inlandeisen und Schelfeisen = Numerical modelling of inland-ice and ice shelves. - 1.3.5 Struktur, Massenhaushalt, Bewegung und Geschichte des Grönländischen Eisschildes = Structure, mass balance, dynamics and history of the Greenland Ice sheet. - 1.4 KLIMAGESCHICHTE AUS DEM EIS = Climate history derived from ice. - 1.4.1 Klimageschichte aus dem Eis Grönlands: Das Grönländische Eiskern-Projekt (GRIP) = Climate history from the Greenland Ice: The Greenland lce-core Project (GRIP). - 1.4.2 Nördgrönland-Traverse = North Greenland traverse. - 1.4.3 EPICA, Europäisches Eiskern-Programm in der Antarktis = EPICA, European Programme on Polar Ice Coring in the Antarctic. - 1.4.4 Bohrung Berkner Island, Antarktis = Drilling on Berkner lsland, Antarctica. - 2. MARINE ÖKOSYSTEME = Marine Ecosystems. - 2.1 ÖKOLOGIE UND ÖKOPHYSIOLOGIE EINZELNER ARTEN UND GRUPPEN = Ecology and ecophysiology of some species and groups. - 2.1.1 Struktur und Aktivität C-heterotropher Bakterien- und Pilzgesellschaften aus extremen Habitaten = Structures and activities of C-heterotrophic baeteria and fungi communities from extreme habitats. - 2.1.2 Autökologische Untersuchungen zum Planktonwachsturn und zur Planktonmortalität = Auto-ecologieal studies on plankton growth and mortality. - 2.1.3 Genotypische und phenotypische Variationen im Phytoplankton und Phylogenie der Diatomeen und Haptophyten = Genotype and phenotype variations in phytoplankton, and phylogeny of diatoms and haptophytes. - 2.1.4. Vergleiche physiologisch-biochemischer Anpassungen von Benthos- und Nektontieren in polaren und gemäßigten Regionen = Comparison of physiological-biochemieal adaptions of benthic and neotonic animals in polar and moderate regions. - 2.1.5 Ökologie polarer Makroalgen = Ecology of polar macro-algae. - 2.1.6 Lebenszyklen, Lebensstrategien und physiologische Anpassungen polarer Makroalgen und Evertebraten = Life cycles, life strategies and physiological adaptions of polar macro-algae and evertebrates. - 2.2 STRUKTUR UND ENTWICKLUNG MARINER LEBENSGEMEINSCHAFTEN = Structure and evolution of marine living communities. - 2.2.1 Meereis-Lebensgemeinschaften = Sea-ice communities. - 2.2.2 Pelagische Lebensgemeinschaften = Pelagic communities. - 2.2.3 Benthische Lebensgemeinschaften = Benthic communities. - 2.2.4 Biogeographische Zusammenhänge benthischer und planktischer Lebensgemeinschaften der Antarktis mit denen der Magellanregion = Biogeographical connections of benthic and planktonic communities of the Antarctic with those of the Magellan region. - .3 ÖKOLOGISCHE PROZESSE = Ecological processes. - 2.3.1 Nutzungseffizienz der photosynthetisch verwertbaren Unterwasserstrahlung durch das antarktische Phytoplankton = Utilization of the photosynthetically active underwater radiation by Antarctic phytoplankton. - 2.3.2 Messungen und Auswirkungen der UV-B Strahlung auf das Plankton, die Meereisgemeinschaften und die Makroalgen polarer Regionen = Measurements and effects of UV-B radiation on plankton, sea-ice communities, and macro-algae of polar regions. - 2.3.3 Direkte Effekte von CO2 auf das Plankton und deren Auswirkungen auf den marinen Kohlenstoffkreislauf = Direct effects of CO2 on plankton, and their influence on the marine carbon cycle. - 2.3.4 Physikalische und biologische Prozesse an Fronten des Südlichen Ozeans = Physical and biological processes at fronts of the Southern Ocean. - 2.3.5 Biogene Stoffkreisläufe und pelago-benthische Kopplung = Biogeneous cycles and pelago-benthic coupling. - 2.3.6 Energiefluß und Interaktionen in einem antarktischen Flachwasser-System = Energy flux and interactions in an Antarctic shallow water system. - 2.3.7 Robben, Pinguine und ihre Parasiten im Nahrungsnetz antarktischer Schelfgebiete = Seals, penguins and their parasites in the food web of Antarctic shelf areas. - 2.3.8 Biologische Dynamik des Auftriebssystems des Humboldt-Stroms und EI Niño-Einflüsse = Biological dynamics of the upwelling system of the Humboldt Current and influences of "EI N