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Journal of KONBiN
2006 No. 1 49--56
EN Using the concept of a ship’s domain at a waterway intersection, the ships’ traffic equations were determined, describing a situation where they pass each other at the intersection without collision. A field of limit velocity vectors was established, at which the vessel can pass through the intersec[...]
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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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Opuscula Mathematica
EN The geometric structure of characteristic surfaces related with partial differential equations of first and higer orders is studied making use the vector field technique on hypersurfaces. It is shown, that corresponding characteristics are defined uniquely up to some smooth tensor fields, thereby su[...]
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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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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 We construct some extension [...] of the flow operator [...] fibred frame bundle functor. Next using operator [...] we present some construction of general connections[...] depending on classical (not necessarily projectable) linear connections V on Y.
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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 For natural numbers n > 2 and r > 1 all natural operators T* (Jr(*2T*)) lifting vector fields from n-manifolds M into 1-forms on Jr(*2T*) are classified. It's proved that the set of all natural operators A.
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Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska
2018 T. 8, nr 2 79--82
PL Artykuł dotyczy sposobu wskazania rodzaju ruchu przy pomocy przetwarzania i analizy obrazu cyfrowego na przykładzie sekwencji przemieszczania się pyłu węglowego. Prezentowane podejście ma poszerzyć perspektywę zastosowania systemów wizyjnych w kontroli procesów spalania, podnosząc tym samym ich efek[...]
EN The article refers to the method of indicating the type of movement by means the digital image processing and analysis on the example of a coal dust movement sequence. Presented approach is broaden the perspective of use the vision systems in the combustion processes control, thus increasing their e[...]
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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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