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This new edition offers a comprehensive introduction to the analysis of data using Bayes rule. It generalizes Gaussian error intervals to situations in which the data follow distributions other than Gaussian. This is particularly useful when the observed parameter is barely above the background or the histogram of multiparametric data contains many empty bins, so that the determination of the validity of a theory cannot be based on the chi-squared-criterion. In addition to the solutions of practical problems, this approach provides an epistemic insight: the logic of quantum mechanics is obtained as the logic of unbiased inference from counting data. New sections feature factorizing parameter...
Solving a longstanding problem in the physical sciences, this text and reference generalizes Gaussian error intervals to situations in which the data follow distributions other than Gaussian. The text is written at introductory level, with many examples and exercises.
In this book Rowlands interrogates the theological and philosophical foundations of the 'Quest' for the historical Jesus, from Reimarus to the present day, culminating in a call for greater metaphysical transparency and diversity in the discipline. This multidisciplinary approach to historical Jesus research, drawing on historiography, sociology, philosophy, and theology, makes a significant and original contribution to the field. Part I outlines the implicit role of metaphysical presuppositions in historical methodology by examining the concept of an historiographical worldview. Part II provides an overview of the 'Quest' for the historical Jesus, demonstrating that the disparate historiographical worldviews operative in the 'Quest' evidence a particular shared characteristic, in that they might accurately be described as ‘secular.’ Rowlands’ study concludes with a call for a greater plurality and openness regarding the philosophical and theological presuppositions at work in historical Jesus research. The Metaphysics of Historical Jesus Research is of interest to students and scholars working on New Testament studies and historical Jesus research.
This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.