Analise indéterminée. Recherche systématique des formules les plus propres à calculer les logarithmes
Méthode facile pour exécuter le développement des puissances des polynomes ; pour faire suite à l'article précédent
Analyse indéterminée. Recherche systématique des formules les plus propres à calculer les logarithmes
Anleitung zur Algebra Theil 2, Abtheilung 1
Elements of Geometry, with Practical Applications for the Use of Schools
Select Exercises for Young Proficients in the Mathematicks
Clavis geometrica catholica: sive janua aequationum reserata
An Essay on Algebraic Development
The operation of infimal convolution
AbstractThis paper is a survey article on the theory and applications of infimal convolution. We consider the convex as well as the nonconvex case. In particular, we provide a detailed investigation of the regularizing effects of infimal convolution, and study continuity properties of the operation with respect to notions of variational convergence. Several examples are included and well-known results are complemented, unified or extended in various ways. CONTENTS1. Introduction and...
C*-semigroup bundles and C*-algebras whose irreducible representations are all finite dimensional
We investigate the structure of C*-algebras with a finite bound on the dimensions of their irreducible representations, sometimes called “subhomogeneous”.In the first chapter we develop the theory of C*-semigroup bundles. These are C*-bundles over semigroups together with a “structure map” which links the semigroup structure of the base space lo the bundle. Under suitable conditions we prove the existence of “enough” bounded sections, which arc “compatible” with the C*-semigroup bundle structure....
Theoretische und praktische Anleitung zur militärischen Feldmeßkunst oder zum militärischen Aufnehmen Theil 2, Abtheilung 2
Gründliche und vollständige theoretisch-praktische Anleitung zum Feldmessen oder zur praktischen Geometrie Theil 1, Abtheilung 2
Anleitung zur analytischen Geometrie, der analytischen ebenen und sphärischen Trigonometrie und der höhern Geometrie oder der Lehre von den Kegelschnitten Theil 3, Abtheilung 1
On convergence in distribution of the Markov chain generated by the filter kernel induced by a fully dominated Hidden Markov Model
Consider a Hidden Markov Model (HMM) such that both the state space and the observation space are complete, separable, metric spaces and for which both the transition probability function (tr.pr.f.) determining the hidden Markov chain of the HMM and the tr.pr.f. determining the observation sequence of the HMM have densities. Such HMMs are called fully dominated. In this paper we consider a subclass of fully dominated HMMs which we call regular. A fully dominated, regular HMM...
On ab-initio computations for phase change problems in solids
Lorentzian manifolds with special holonomy and parallel spinors
The author studies the holonomy group of a simply connected indecomposable and reducible Lorentzian spin manifold under the condition that they admit parallel spinors. He shows that there are only two possible situations: either the manifold is a so-called Brinkmann wave or it has Abelian holonomy and is a pp-manifold – a generalization of a plane-wave. The author gives also sufficient conditions for a Brinkmann wave to have as holonomy the semidirect product of holonomy group of a Riemannian manifold...
-curvature and spectral invariants
Spectral theory of invariant operators, sharp inequalities, and representation theory
The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.
On the conformal relation between twistors and Killing spinors
[For the entire collection see Zbl 0699.00032.] The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension . A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated.
On types of non-integrable geometrie
A G-structure on a Riemannian manifold is said to be integrable if it is preserved by the Levi-Civita connection. In the presented paper, the following non-integrable G-structures are studied: SO(3)-structures in dimension 5; almost complex structures in dimension 6; G-structures in dimension 7; Spin(7)-structures in dimension 8; Spin(9)-structures in dimension 16 and F-structures in dimension 26. G-structures admitting an affine connection with totally skew-symmetric torsion are characterized....
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