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Lexical Error Compensation in Handwritten-Based Mathematical Information Retrieval

Ahmadi, Seyed Ali, Youssef, Abdou (2008)

Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008

Entering mathematical queries, in general, can be a demanding task. Mathematical notation is two-dimensional and cannot be easily typed with a standard QWERTY keyboard. Handwriting appears to be the most intuitive and promising method to express mathematical queries. Recognition technology for handwritten mathematical notation has never been applied in math search. The objective of this research is to design and implement an automated symbol-recognition error compensation system for the handwritten-based...

Liftings of 1-forms to some non product preserving bundles

Doupovec, Miroslav, Kurek, Jan (1998)

Proceedings of the 17th Winter School "Geometry and Physics"

Summary: The article is devoted to the question how to geometrically construct a 1-form on some non product preserving bundles by means of a 1-form on an original manifold M . First, we will deal with liftings of 1-forms to higher-order cotangent bundles. Then, we will be concerned with liftings of 1-forms to the bundles which arise as a composition of the cotangent bundle with the tangent or cotangent bundle.

L'implication statistique entre variables modales

Marc Bailleul, Régis Gras (1994)

Mathématiques et Sciences Humaines

L'implication statistique, selon R.Gras, permet d'associer à un ensemble de variables binaires ou fréquentielles un préordre représentable par un graphe non symétrique et par une hiérarchie ascendante. L'analyse d'un questionnaire à modalités totalement ordonnées nous contraint, pour conserver l'information maximale, à étendre cette notion à des variables modales et, par suite et a fortiori, à des variables ordinales qui s'y ramènent. A la suite de cette construction, on examine les contributions...

Linear stability of Euler equations in cylindrical domain

Čermák, Libor (2008)

Programs and Algorithms of Numerical Mathematics

The linear stability problem of inviscid incompressible steady flow between two concentric cylinders is investigated. Linearizing the transient behavior around a steady state solution leads to an eigenvalue problem for linearized Euler equations. The discrete eigenvalue problem is obtained by the spectral element method. The algorithm is implemented in MATLAB. The developed program serves as a simple tool for numerical experimenting. It enables to state rough dependency of the stability on various...

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