Results 31 to 40 of about 93,087 (303)
Symmetry impedes symmetry discrimination
Objects in the world, natural and artificial alike, are often bilaterally symmetric. The visual system is likely to take advantage of this regularity to encode shapes for efficient object recognition. The nature of encoding a symmetric shape, and of encoding any departure from it, is therefore an important matter in visual perception. We addressed this
Tjan, B., Liu, Z.
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Symmetry breakdown and coupling constants of leptons
Based on a new approach to symmetries of the fundamental interactions we deal, in this paper, with the electroweak interactions of leptons. We show that the coupling constants, arising in the way leptons are coupled to intermediate bosons, can be ...
Gil C. Marques, Dominique Spehler
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The Method of High Accuracy Calculation of Robot Trajectory for the Complex Curves
The geometric model accuracy is crucial for product design. More complex surfaces are represented by the approximation methods. On the contrary, the approximation methods reduce the design quality. A new alternative calculation method is proposed.
Lozhkin Alexander +2 more
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Symmetries of Symmetry Breaking Constraints
Symmetry is an important feature of many constraint programs. We show that any problem symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry class. This simple but powerful idea can be used in a number of different ways.
George Katsirelos, Toby Walsh
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This note begins with an introduction to the inverse isospectral problem popularized by M. Kac's 1966 article in the American Mathematical Monthly, "Can one hear the shape of a drum?" Although the answer has been known for some twenty years now, many open problems remain.
Zhiqin Lu, Julie Rowlett
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The classification of bifurcations with hidden symmetries [PDF]
We set up a singularity-theoretic framework for classifying one-parameter steady-state bifurcations with hidden symmetries. This framework also permits a non-trivial linearization at the bifurcation point.
Manoel, Míriam, Stewart, Ian
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Learning Inverse Statics Models Efficiently With Symmetry-Based Exploration
Learning (inverse) kinematics and dynamics models of dexterous robots for the entire action or observation space is challenging and costly. Sampling the entire space is usually intractable in terms of time, tear, and wear.
Rania Rayyes, Daniel Kubus, Jochen Steil
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Let \(Q(x,y) = \sum_{i=0}^n a_ix^i y^{n-i}\) be a binary form of degree~\(n\) with real or complex coefficients \(a_i\). Classical invariant theory deals with the invariants of binary forms under the action of SL\(_2\). The article under review takes a different point of view.
Irina Berchenko, Peter J. Olver
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Type II duality symmetries in six dimensions [PDF]
We discuss the different discrete duality symmetries in six dimensions that act within and between (i) the 10-dimensional heterotic string compactified on T^4, (ii) the 10-dimensional type IIA string compactified on K3 and (iii) the 10-dimensional type ...
Bergshoeff, E., +5 more
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This paper emphasizes some geometrical properties of the Maxwell–Bloch equations. Based on these properties, the closed-form solutions of their equations are established.
Remus-Daniel Ene +3 more
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