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Linear algebra and differential geometry on abstract Hilbert space
Published 2005-01-01“…The formalism itself and its applications in linear algebra, differential equations, and differential geometry are carefully analyzed.…”
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On differential geometry of tangent and cotangent bundles of Riemannian manifold
Published 1999-12-01Get full text
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The Interconnection Between Calculus of Variations, Partial Differential Equations and Differential Geometry
Published 2024-12-01Subjects: Get full text
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A Moving Frame Trajectory Tracking Method of a Flying-Wing UAV Using the Differential Geometry
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Differential geometry of nonholonomic complexes NGr(1, n, 2n − 4) in n-dimensional affine space
Published 2023-09-01“… In this article the differential geometry of the nonholonomic complex NGr(1, n, 2n − 4) in the n-dimensional affine space is studied. …”
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A new approach to the geometric modeling of Iranian domes
Published 2023-09-01Subjects: Get full text
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Irreducible representation of surface distributions and Piola transformation of external loads sustainable by third gradient continua
Published 2023-04-01Subjects: Get full text
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A direct relation between bending energy and contact angles for capillary bridges
Published 2023-09-01Subjects: “…Fenchel’s theorem in differential geometry…”
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A Multiscale Model for Virus Capsid Dynamics
Published 2010-01-01“…In this work, we propose a differential geometry-based multiscale paradigm to model complex biomolecule systems. …”
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Geometry of nonholonomic complexes in threedimensional projective space
Published 2003-12-01“… In this article the differential geometry of nonholonomic complexes in threedimensional projective space is considered. …”
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Geometry of two-parametric family of linear line complexes
Published 2005-12-01“… In this article differential geometry of two-parametric family of linear line complexes in the three-dimensional projective space is considered. …”
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On the Geometry of the Movements of Particles in a Hamilton Space
Published 2013-01-01“…We studied on the differential geometry of the Hamilton space including trajectories of the motion of particles exposed to gravitational fields and the cotangent bundle.…”
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Osculating paraboloid
Published 2005-12-01“… Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. …”
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Osculating paraboloid
Published 2023-09-01“… Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. …”
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On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space
Published 1998-12-01“… In this paper the differential geometry of semi-non-holonomic hypercomplexes in n-dimensional affine space is constructed in an invariant analytic form. …”
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Mechanical analogy for the wave-particle: helix on a vortex filament
Published 2002-01-01“…The complex-valued algebra of quantum mechanics finds a simple mechanical interpretation in terms of differential geometry of the space curve. The wave function takes the meaning of the velocity, with which the helix rotates about the screw axis. …”
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Research of the Modeling of Globoidal Indexing Cam with Tapered Roller and Motion Simulation based on Adams
Published 2019-12-01“…Construction method of the universal surface equation of the globoidal indexing cam mechanism with tapered roller is presented based on transformation of homogeneous coordinate after the theoretical analysis of conjugate surface theory and the differential geometry. Data collection system of the undeveloped ruled surface points is developed based on VB and the 3D modeling of the indexing mechanism is set up in Creo. …”
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Research of Modeling and Motion Simulation of Globoidal Indexing Cam based on Transformation of Homogeneous Coordinate
Published 2018-01-01“…Aiming at the globoidal indexing cam mechanism,through the theoretical analysis of conjugate surface theory and the differential geometry,the construction method of the universal surface equation of globoidal indexing cam is presented based on transformation of homogeneous coordinate. …”
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