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   Articles with "geometric objects" as a keyword



Configuration Space of Geometric Objects

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recommendations! Published in 2018 at "Cybernetics and Systems Analysis"

DOI: 10.1007/s10559-018-0073-5

Abstract: The concept of configuration space of geometric objects is introduced. Its generalized variables are metric parameters of the spatial form and parameters of the location of objects. The properties of configuration spaces of complex geometric… read more here.

Keywords: configuration space; geometric objects; space geometric; configuration ... See more keywords

Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra

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recommendations! Published in 2019 at "Advances in Applied Clifford Algebras"

DOI: 10.17863/cam.46117

Abstract: Typically we do not add objects in conformal geometric algebra (CGA), rather we apply operations that preserve grade, usually via rotors, such as rotation, translation, dilation, or via reflection and inversion. However, here we show… read more here.

Keywords: geometric objects; geometric algebra; linear interpolation; direct linear ... See more keywords

Entropy and Geometric Objects

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recommendations! Published in 2018 at "Entropy"

DOI: 10.3390/e20060453

Abstract: Different notions of entropy can be identified in different scientific communities: (i) the thermodynamic sense; (ii) the information sense; (iii) the statistical sense; (iv) the disorder sense; and (v) the homogeneity sense. Especially the “disorder… read more here.

Keywords: entropy geometric; black hole; sense; geometry ... See more keywords

Invariant Geometric Objects of the Equitorsion Canonical Biholomorphically Projective Mappings of Generalized Riemannian Space in the Eisenhart Sense

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recommendations! Published in 2025 at "Mathematics"

DOI: 10.3390/math13081334

Abstract: The study of the equitorsion biholomorphically projective mappings between two generalized Riemannian spaces in the sense of Eisenhart’s definition is continued. Some new invariant geometric objects of an equitorsion canonical biholomorphically projective mapping are found,… read more here.

Keywords: invariant geometric; biholomorphically projective; projective mappings; geometric objects ... See more keywords