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Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
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Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
2004 Vol. 37, nr 3 697--707
EN For any product-preserving bundle functor F denned on the category F2 M of fibered-fibered manifolds, we determine all natural operators transforming projectable-projectable vector fields on Y 6 Ob(F2M) to vector fields on FY. We also determine all natural affinors on FY and prove a composition prop[...]
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Przegląd Geofizyczny
2005 Z. 1-2 59-72
EN In the paper there is presented the method designed for vector fields classification. It is based on the algorithm proposed by Lund (1963). The replacement of Pearson correlation coefficient with vector correlation coefficient defined by Crosby (1993) is the essential change that makes this techniqu[...]
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Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
2004 Vol. 37, nr 3 689--696
EN The definition of a prefoliation (M,F) of a K-differential space and the theorem about regularity of the inclusion of a leaf of a prefoliation are reminded. An example of a pair (M, F) of SC-differential spaces with the same set of points, which shows that even if the identity of .M is an immersion [...]
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International Journal of Applied Mathematics and Computer Science
EN The article is devoted to a motion control problem for a differentially driven mobile robot in the task of trajectory tracking in the presence of skid-slip effects. The kinematic control concept presented in the paper is the Vector Field Orientation (VFO) feedback approach with a nonlinear feed-forw[...]
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Journal of Applied Computer Science
2013 Vol. 21, nr 1 107--117
EN In this paper, we present an interactive method for visualizing three-dimensional nonlinear, unsteady vector fields. Visualization of three-dimensional electromagnetic fields is a difficult issue because the user has to be able to assess the distribution of the vector in the context of complex geome[...]
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Czasopismo Techniczne. Mechanika
PL W czterowymiarowej przestrzeni afinicznej został zbudowany zestaw obiektów geometrycznych oraz zdefiniowana stała. Reper kanoniczny został zbudowany dla szczególnych przypadków.
EN In four-dimensional equiaffine space the set of geometric objects of vector field has been built, the invariant straight has been defined. Canonic reper has been built for a particular case.
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Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
2004 Vol. 37, nr 2 447--462
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International Journal of Applied Mathematics and Computer Science
EN This paper is devoted to the way point following motion task of a unicycle where the motion planning and the closed-loop motion realization stage are considered. The way point following task is determined by the user-defined sequence of way-points which have to be passed by the unicycle with the ass[...]
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Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
EN Let F : FMm &rarr FM be a bundle functor. We describe all FMm,n- natural operators L transforming functions f : Y &rarr R, Y is an element of Obj(FMm,n), into functions L(f) : FY &rarr R.
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Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
EN The aim of this paper is to study the notion of almost 1-principal Gołąb connections. We characterize some deformation algebras having the same principal vector fields. The last section is devoted to the study of some Gołąb connections on hypersurfaces.
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Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
EN In this paper we show that the set of solutions to the following integral equation.
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Demonstratio Mathematica. Warsaw Technical University Institute of Mathematics
2004 Vol. 37, nr 4 905--920
EN In this paper we consider the right invertibility problem of some linear operators defined on the algebra of smooth function on a differential space.
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