Results 251 to 260 of about 866,589 (283)
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World-line invariance in predictive mechanics
Journal of Mathematical Physics, 1979The Currie–Hill conditions for the relativistic world-line invariance of a Newtonian-like dynamical system of interacting particles are generalized to cover the case of invariance under any given finite-dimensional continuous group of transformations of space–time. Necessary and locally sufficient conditions are obtained both in the general case and in
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Rotational invariant formulation for line process
1990 IJCNN International Joint Conference on Neural Networks, 1990The vector line field is used to restore rotational invariance. The energy function for the vector line field can be constructed in a rotationally invariant way by using vector calculus. This energy function can be used both in stochastic relaxation and in an analog neural net.
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Line matching based on line-points invariant and local homography
Pattern Recognition, 2018Abstract Line matching across views is a fundamental task in many applications. Existing methods are hardly applicable to across view scenarios due to the limitation of line descriptors and matching strategy. In this paper, we present a novel line-points invariant based on a new projective invariant named characteristic number.
Qi Jia +5 more
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On physical property tensors invariant under line groups
Acta Crystallographica Section A Foundations and Advances, 2014The form of physical property tensors of a quasi-one-dimensional material such as a nanotube or a polymer can be determined from the point group of its symmetry group, one of aninfinitenumber of line groups. Such forms are calculated using a method based on the use of trigonometric summations.
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Invariant Half-Lines of Nonexpansive Piecewise-Linear Transformations
Mathematics of Operations Research, 1980It is shown that if f is a nonexpansive piecewise-linear mapping of Rm into itself, there exists a unique half-line that f maps into itself and such that restriction of f thereto is a translation. One easy consequence of this result is that there exists a unique m-vector α such that for every m-vector x, the sequence fn(x) − nα remains bounded.
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Cubic systems with four real line invariants
Mathematical Proceedings of the Cambridge Philosophical Society, 1995A polynomial system is a real autonomous system of ordinary differential equations on the plane with polynomial nonlinearities:with aij, bij ∈ ℝ and where x = x(t) and y = y(t) are real-valued functions.The problem of analysing limit cycles (isolated periodic solutions) in polynomial systems was first discussed by Poincaré[16]. Then, in the famous list
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Invariant lines in two‐dimensional matrix geometry
International Journal of Mathematical Education in Science and Technology, 1987The aim of this article is to present some results on invariant lines in two‐dimensions under matrix transformation without the introduction of eigenvalues. We use the transformation TM,v representing the multiplication by a matrix M and a translation by a vector v. We treat the cases v = 0 and v ? 0 separately although the following result, proved in §
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