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In the past, discussions of absolute constructions (ACs) have been limited by an imprecise understanding of what ACs are. By examining the nature and function of ACs and related constructions in Greek, Latin and Sanskrit, this new study arrives at a clear and simple definition of ACs. Focussing on the earliest attested material in each language, it highlights how AC usage differs between languages and offers explanations for these differences. Identifying the common core shared by all ACs, it suggests a starting-point and way by which they developed into Greek, Latin and Sanskrit. Further historical study reveals how ACs have been conceived of by grammarians, philologists and even Christian missionaries over the last two thousand years and how enduring misconceptions still affect our discussion of them today. All Sanskrit material is annotated in detail, making it accessible for classicists in particular and allowing a better understanding of ACs in Greek and Latin.

Indo-European languages --- Grammar, Comparative and general --- Absolute constructions --- Constructions absolues (Linguistique) --- Constructions absolues --- Absolute constructions. --- Indogermanische Sprachen. --- Absoluter Kasus. --- Aryan languages --- Indo-Germanic languages --- Absolute constructions (Grammar) --- Absolute phrase (Grammar) --- Dangling participle (Grammar) --- Nominative absolute (Grammar) --- Syntax --- Langues indo-européennes --- Arts and Humanities --- History --- Linguistics --- Philology --- Indo-European languages - Absolute constructions --- Grammar, Comparative and general - Absolute constructions

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La philosophie consiste à donner un autre nom à ce qui a été longtemps cristallisé sous le nom de Dieu » : quel sort réserver à cet énoncé de Merleau-Ponty ? Ces Leçons, qui se focalisent sur quelques désignations emblématiques de l'absolu dans la philosophie moderne, débutent avec le « non-autre » forgé par Nicolas de Cues dans le dernier de ses dialogues philosophiques. En interrogeant successivement la façon dont Descartes, Spinoza, Kant et Schelling ont redéfini l'absolu et les conséquences qu'ils en ont tirées pour la formulation de la question de Dieu, il s'agit de problématiser la notion du « tout autre », décliné de différentes manières dans les Miettes philosophiques de Kierkegaard, la théologie dialectique de Karl Barth, la phénoménologie du sacré de Rudolf Otto et, plus près de nous, chez Heidegger et Derrida. En analysant quelques nœuds remarquables de l'arc historique qui relie ces deux désignations, il s'agit de mieux comprendre le projet de la théologie philosophique moderne et de donner une profondeur de champ historique aux débats contemporains relatifs à l'« onto-théologie », l'« idolâtrie conceptuelle » et les « théologies négatives ».

God --- Absolute, The --- Ontology --- Philosophy and religion --- Religion --- Philosophy & Religion --- Christianity

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Integral geometry can be defined as determining some function or a more general quantity, which is defined on a manifold, given its integrals over submanifolds or a prescribed class. In this book, only integral geometry problems are considered for which the submanifolds are one-dimensional. The book deals with integral geometry of symmetric tensor fields. This section of integral geometry can be considered as the mathematical basis for tomography or anisotropic media whose interaction with sounding radiation depends essentially on the direction in which the latter propagates. The main mathemat

Integral geometry. --- Calculus of tensors. --- Geometry, Differential. --- Differential geometry --- Absolute differential calculus --- Analysis, Tensor --- Calculus, Absolute differential --- Calculus, Tensor --- Tensor analysis --- Tensor calculus --- Geometry, Differential --- Geometry, Infinitesimal --- Vector analysis --- Spinor analysis --- Geometry, Integral

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Ethanol as fuel. --- Ethanol. --- Absolute ethanol --- Alkyl alcohol --- Anhydrol --- Anhydrous alcohol --- Ethyl alcohol --- Ethyl hydrate --- Hydroxyethane --- Alcohols --- Ethanol fuel --- Fuel ethanol --- Fuel

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Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ​

Chemistry. --- Mathematics. --- Numerical analysis. --- Tensor algebra. --- Calculus of tensors --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Mathematics --- Operations Research --- Calculus of tensors. --- Multilinear algebra. --- Absolute differential calculus --- Analysis, Tensor --- Calculus, Absolute differential --- Calculus, Tensor --- Tensor analysis --- Tensor calculus --- Chemistry, Physical and theoretical. --- Physics. --- Numerical Analysis. --- Theoretical and Computational Chemistry. --- Theoretical, Mathematical and Computational Physics. --- Algebra --- Geometry, Differential --- Geometry, Infinitesimal --- Vector analysis --- Spinor analysis --- Physical sciences --- Mathematical analysis --- Mathematical physics. --- Physical mathematics --- Physics --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Mathematics