Results 61 to 70 of about 739,586 (175)
Riemannian L-systems: modelling growing forms in curved spaces
Quantitative Plant BiologyIn the past 50 years, the formalism of L-systems has been successfully used and developed to model the growth of filamentous and branching biological forms. These simulations take place in classical 2-D or 3-D Euclidean spaces.
Christophe Godin, Frédéric Boudon
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Some aspects of noncommutative differential geometry [PDF]
, 1995 We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential calculus based on derivations as generalization of vector fields, and we ...
Dubois-Violette, Michel
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Fermions, differential forms and doubled geometry
Nuclear Physics B, 2018 We show that all fermions of one generation of the Pati–Salam version of the Standard Model (SM) can be elegantly described by a single fixed parity (say even) inhomogeneous real-valued differential form in seven dimensions.
Kirill Krasnov
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Nonlinear Observability Algorithms with Known and Unknown Inputs: Analysis and Implementation
Mathematics, 2020 The observability of a dynamical system is affected by the presence of external inputs, either known (such as control actions) or unknown (disturbances).
Nerea Martínez, Alejandro F. Villaverde
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Heat Kernel Embeddings, Differential Geometry and Graph Structure
Axioms, 2015 In this paper, we investigate the heat kernel embedding as a route to graph representation. The heat kernel of the graph encapsulates information concerning the distribution of path lengths and, hence, node affinities on the graph; and is found by ...
Hewayda ElGhawalby, Edwin R. Hancock
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Intrinsic Curvatures of Atomic Orbitals for Hydrogen-Like Atoms [PDF]
INCAS BulletinWithin the quantum model for the hydrogen-like atom and taking into account the concepts of differential geometry, we calculate the intrinsic curvature of several types of atomic orbitals. Based on this concept of intrinsic curvature, a classification of
Diana Rodica RADNEF-CONSTANTIN +1 more
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Solving p-Laplacian equations on complete manifolds
Electronic Journal of Differential Equations, 2006 Using a reduced version of the sub and super-solutions method, we prove that the equation $Delta _{p}u+ku^{p-1}-Ku^{p^{ast }-1}=0$ has a positive solution on a complete Riemannian manifold for appropriate functions $k,K:Mo mathbb{R}$.
Mohammed Benalili, Youssef Maliki
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Geometric Aspects of Mixed Quantum States Inside the Bloch Sphere
Quantum ReportsWhen studying the geometry of quantum states, it is acknowledged that mixed states can be distinguished by infinitely many metrics. Unfortunately, this freedom causes metric-dependent interpretations of physically significant geometric quantities such as
Paul M. Alsing +3 more
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Ordinary differential equations in affine geometry
Le Matematiche, 1996 The method of qualitative analysis is used, as applied to a class of fourth order, nonlinear ordinary differential equations, in order to classify, both locally and globally, two classes of hypersurfaces of decomposable type in affine geometry: those ...
Salvador Gigena
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Closed, Two Dimensional Surface Dynamics
Frontiers in Physics, 2018 We present dynamic equations for two dimensional closed surfaces and analytically solve it for some simplified cases. We derive final equations for surface normal motions by two different ways. The solution of the equations of motions in normal direction
David V. Svintradze
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