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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
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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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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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Some Geometric Characterizations of f-Curves Associated with a Plane Curve via Vector Fields
Published 2022-01-01“…The differential geometry of plane curves has many applications in physics especially in mechanics. …”
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Special Kähler geometry and holomorphic Lagrangian fibrations
Published 2024-06-01“…Given a holomorphic Lagrangian fibration of a compact hyperkähler manifold, we use the differential geometry of the special Kähler metric that exists on the base away from the discriminant locus, and show that the pullback of the tangent bundle of the base to the total space of a family of minimal rational curves admits a parallel splitting. …”
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Radar Cross-Section Formulation of a Shell-Shaped Projectile Using Modified PO Analysis
Published 2012-01-01“…The projectile is modeled using differential geometry. The paper presents a detailed analysis procedure for RCS formulation using physical optics (PO) method. …”
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The Exact Linearization and LQR Control of Semiactive Connected Hydropneumatic Suspension System
Published 2015-01-01“…Based on differential geometry theory, the nonlinear system of connected hydropneumatic suspension was transformed to a linear one. …”
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