Search results for "ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION"
showing 10 items of 140 documents
"Table 1" of "Determination of $alpha_{s}$ in second order {QCD} from hadronic $Z$ decays"
1992
Experimental differential Thrust distributions.
Data structures and algorithms for topological analysis
2014
International audience; One of the steps of geometric modeling is to know the topology and/or the geometry of the objects considered. This paper presents different data structures and algorithms used in this study. We are particularly interested by algebraic structures, eg homotopy and homology groups, the Betti numbers, the Euler characteristic, or the Morse-Smale complex. We have to be able to compute these data structures, and for (homotopy and homology) groups, we also want to compute their generators. We are also interested in algorithms CIA and HIA presented in the thesis of Nicolas DELANOUE, which respectively compute the connected components and the homotopy type of a set defined by…
Kolmogorov Superposition Theorem and Its Application to Multivariate Function Decompositions and Image Representation
2008
International audience; In this paper, we present the problem of multivariate function decompositions into sums and compositions of monovariate functions. We recall that such a decomposition exists in the Kolmogorov's superposition theorem, and we present two of the most recent constructive algorithms of these monovariate functions. We first present the algorithm proposed by Sprecher, then the algorithm proposed by Igelnik, and we present several results of decomposition for gray level images. Our goal is to adapt and apply the superposition theorem to image processing, i.e. to decompose an image into simpler functions using Kolmogorov superpositions. We synthetise our observations, before …
The pure descent statistic on permutations
2017
International audience; We introduce a new statistic based on permutation descents which has a distribution given by the Stirling numbers of the first kind, i.e., with the same distribution as for the number of cycles in permutations. We study this statistic on the sets of permutations avoiding one pattern of length three by giving bivariate generating functions. As a consequence, new classes of permutations enumerated by the Motzkin numbers are obtained. Finally, we deduce results about the popularity of the pure descents in all these restricted sets. (C) 2017 Elsevier B.V. All rights reserved.
Stratified Autocalibration of Cameras with Euclidean Image Plane
2020
International audience; This paper tackles the problem of stratified autocalibration of a moving camera with Euclidean image plane (i.e. zero skew and unit aspect ratio) and constant intrinsic parameters. We show that with these assumptions, in addition to the polynomial derived from the so-called modulus constraint, each image pair provides a new quartic polynomial in the unknown plane at infinity. For three or more images, the plane at infinity estimation is stated as a constrained polynomial optimization problem that can efficiently be solved using Lasserre's hierarchy of semidefinite relaxations. The calibration parameters and thus a metric reconstruction are subsequently obtained by so…
Guide pour l'ergonomie des interfaces homme-machine
1998
Rapport de contrat Bull INRIA; Spécifications ergonomiques pour la conception des interfaces logicielles Bull
Guaranteed error bounds for linear algebra problems and a class of Picard-Lindelöf iteration methods
2012
This study focuses on iteration methods based on the Banach fixed point theorem and a posteriori error estimates of Ostrowski. Their application for systems of linear simultaneous equations, bounded linear operators, as well as integral and differential equations is considered. The study presents a new version of the Picard–Lindelöf method for ordinary differential equations (ODEs) supplied with guaranteed and explicitly computable upper bounds of the approximation error. The estimates derived in the thesis take into account interpolation and integration errors and, therefore, provide objective information on the accuracy of computed approximations.
The Role of Corporate Social Responsibility and Its Influences on Vietnamese Small and Medium-sized Enterprises (SMEs) in Ho Chi Minh City
2020
In the new era, the importance of Corporate Social Responsibility (CSR) for business organizations is a matter of primary concern and has been researched by scholars around the world. Interest in CSR in business enterprises is often neglected due to its high-cost factor and the enterprises only focused on its operations and profitability for the existence of a business. If the enterprises have a good CSR policy within their development strategy, they will attain greater success. It was deemed that the empirical study adopted a descriptive survey method, 103 data samples were selected from the SMEs for analysis. The results indicated that SME management who adopted and implemented CSR polici…
Regularity for nonlinear stochastic games
2015
We establish regularity for functions satisfying a dynamic programming equation, which may arise for example from stochastic games or discretization schemes. Our results can also be utilized in obtaining regularity and existence results for the corresponding partial differential equations. peerReviewed
Évaluation ergonomique du serveur intranet Bull
1997
Rapport de contrat Bull INRIA; Évaluation par inspection du serveur intranet Bull