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Group theory, originating from algebraic structures in mathematics, has long been a powerful tool in many areas of physics, chemistry and other applied sciences, but it has seldom been covered in a manner accessible to undergraduates. This book from renowned educator Robert Kolenkow introduces group theory and its applications starting with simple ideas of symmetry, through quantum numbers, and working up to particle physics. It features clear explanations, accompanying problems and exercises, and numerous worked examples from experimental research in the physical sciences. Beginning with key concepts and necessary theorems, topics are introduced systematically including: molecular vibrations and lattice symmetries; matrix mechanics; wave mechanics; rotation and quantum angular momentum; atomic structure; and finally particle physics. This comprehensive primer on group theory is ideal for advanced undergraduate topics courses, reading groups, or self-study, and it will help prepare graduate students for higher-level courses.
Group theory. --- Matrices. --- Science --- Mathematics.
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Density matrices. --- Computational chemistry. --- Chemistry --- Cheminformatics --- Matrices, Density --- Matrix mechanics --- Quantum theory
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"How to learn both applied statistics (econometrics) and free, open-source software R? This book allows students to have a sense of accomplishment by copying and pasting many hands-on templates provided here. The textbook is essential for anyone wishing to have a practical understanding of an extensive range of topics in Econometrics. No other text provides software snippets to learn so many new statistical tools with hands-on examples. The explicit knowledge of inputs and outputs of each new method allows the student to know which algorithm is worth studying. The book offers sufficient theoretical and algorithmic details about a vast range of statistical techniques. The second edition's preface lists the following topics generally absent in other textbooks. (i) Iteratively reweighted least squares, (ii) Pillar charts to represent 3D data. (iii) Stochastic frontier analysis (SFA) (iv) model selection with Mallows' Cp criterion. (v) Hodrick-Prescott (HP) filter. (vi) Automatic ARIMA models. (vi) Nonlinear Granger-causality using kernel regressions and bootstrap confidence intervals. (vii) new Keynesian Phillips curve (NKPC). (viii) Market-neutral pairs trading using two cointegrated stocks. (ix) Artificial neural network (ANN) for product-specific forecasting. (x) Vector AR and VARMA models. (xi) New tools for diagnosing the endogeneity problem. (xii) The elegant set-up of k-class estimators and identification. (xiii) Probit-logit models and Heckman selection bias correction. (xiv) Receiver operating characteristic (ROC) curves and areas under them. (xv) Confusion matrix. (xvi) Quantile regression (xvii) Elastic net estimator. (xviii) generalized Correlations (xix) maximum entropy bootstrap for time series. (xx) Convergence concepts quantified. (xxi) Generalized partial correlation coefficients (xxii) Panel data and duration (survival) models"--
Econometrics --- R (Computer program language) --- Économétrie --- Matrices R. --- Computer programs. --- Logiciels.
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This open access book covers recent advances in experiments using the ultra-cold, very weakly perturbing superfluid environment provided by helium nanodroplets for high resolution spectroscopic, structural and dynamic studies of molecules and synthetic clusters. The recent infra-red, UV-Vis studies of radicals, molecules, clusters, ions and biomolecules, as well as laser dynamical and laser orientational studies, are reviewed. The Coulomb explosion studies of the uniquely quantum structures of small helium clusters, X-ray imaging of large droplets and electron diffraction of embedded molecules are also described. Particular emphasis is given to the synthesis and detection of new species by mass spectrometry and deposition electron microscopy.
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Tumor Microenvironment. --- Extracellular Matrix. --- Neoplasms. --- Benign Neoplasms --- Malignancy --- Malignant Neoplasms --- Neoplasia --- Neoplasm --- Neoplasms, Benign --- Cancer --- Tumors --- Benign Neoplasm --- Cancers --- Malignancies --- Malignant Neoplasm --- Neoplasias --- Neoplasm, Benign --- Neoplasm, Malignant --- Neoplasms, Malignant --- Tumor --- Medical Oncology --- Matrix, Extracellular --- Extracellular Matrices --- Matrices, Extracellular --- Cancer Microenvironment --- Cancer Microenvironments --- Microenvironment, Cancer --- Microenvironment, Tumor --- Microenvironments, Cancer --- Microenvironments, Tumor --- Tumor Microenvironments --- Extracellular matrix. --- Physiology, Pathological. --- Research. --- Cancer research --- Neoplasms --- Tumours --- Pathology --- Cysts (Pathology) --- Oncology --- Cement substance (Anatomy) --- Ground substance (Anatomy) --- Ground substance (Histology) --- Intercellular matrix --- Interstitial substance --- Connective tissues --- Extracellular space
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What happens to risk as the economic horizon goes to zero and risk is seen as an exposure to a change in state that may occur instantaneously at any time? All activities that have been undertaken statically at a fixed finite horizon can now be reconsidered dynamically at a zero time horizon, with arrival rates at the core of the modeling. This book, aimed at practitioners and researchers in financial risk, delivers the theoretical framework and various applications of the newly established dynamic conic finance theory. The result is a nonlinear non-Gaussian valuation framework for risk management in finance. Risk-free assets disappear and low risk portfolios must pay for their risk reduction with negative expected returns. Hedges may be constructed to enhance value by exploiting risk interactions. Dynamic trading mechanisms are synthesized by machine learning algorithms. Optimal exposures are designed for option positioning simultaneously across all strikes and maturities.
Financial risk management --- Finance --- Nonlinear theories. --- Valuation. --- Gaussian processes. --- Multivariate analysis. --- Mathematical models. --- Multivariate distributions --- Multivariate statistical analysis --- Statistical analysis, Multivariate --- Analysis of variance --- Mathematical statistics --- Matrices --- Distribution (Probability theory) --- Stochastic processes --- Appraisal --- Capitalization (Finance) --- Economic valuation --- Property --- Accounting --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Risk management --- Valuation
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Anàlisi multivariable --- Anàlisi multivariant --- Estadística matemàtica --- Matrius (Matemàtica) --- Anàlisi de conglomerats --- Anàlisi de correspondències (Estadística) --- Anàlisi discriminant --- Modelització multiescala --- Models d'equacions estructurals --- Anàlisi conjunt (Màrqueting) --- Multivariate analysis. --- Dependence (Statistics) --- Dependence of random variables --- Random variables, Dependence of --- Stochastic dependence --- Mathematical statistics --- Multivariate distributions --- Multivariate statistical analysis --- Statistical analysis, Multivariate --- Analysis of variance --- Matrices
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