Results 41 to 50 of about 1,117,147 (144)
Euler Characteristic of real nondegenerate tropical complete intersections [PDF]
, 2007 We define nondegenerate tropical complete intersections imitating the corresponding definition in complex algebraic geometry. As in the complex situation, all nonzero intersection multiplicity numbers between tropical hypersurfaces defining a ...
Bertrand, Benoit, Bihan, Frederic
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Solving the sign problems of the massless lattice Schwinger model with a dual formulation
Nuclear Physics B, 2015 We derive an exact representation of the massless Schwinger model on the lattice in terms of dual variables which are configurations of loops, dimers and plaquette occupation numbers. When expressed with the dual variables the partition sum has only real
Christof Gattringer +2 more
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Binary frames with prescribed dot products and frame operator
, 2018 This paper extends three results from classical finite frame theory over real or complex numbers to binary frames for the vector space ${\mathbb Z}_2^d$.
Furst, Veronika, Smith, Eric P.
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Erlangen Program at Large-1: Geometry of Invariants
Symmetry, Integrability and Geometry: Methods and Applications, 2010 This paper presents geometrical foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theories based on the representation theory of SL_2(R) group. We describe here geometries of corresponding
Vladimir V. Kisil
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On tertions and dual numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn a previous author's paper [1], the mathematical object called "tertion" was discussed. Some operations over tertions were introduced and their properties were studied. There, it was showed that the complex numbers and quaternions can be represented by
Krassimir T. Atanassov
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Calculation of machine precision second order derivatives using dual-complex numbers
Numerical AlgorithmsAbstract It is well known that both complex and dual numbers can be employed to obtain machine precision first-order derivatives; however, neither, on their own, can compute machine precision 2nd order derivatives. To address this limitation, it is demonstrated in this paper that combined dual-complex numbers can be used to compute machine ...
H. Millwater, M. Balcer, N. Millwater
openaire +2 more sources
, 2012 We discuss a representation of the Z(3) Gauge-Higgs lattice field theory at finite density in terms of dual variables, i.e., loops of flux and surfaces. In the dual representation the complex action problem of the conventional formulation is resolved and
Alexander Schmidt +8 more
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IMPLEMENTATION OF THE ALGEBRA OF HYPERDUAL NUMBERS IN NEURAL NETWORKS
Scientific Journal of Astana IT UniversityFor the numerical solution of problems arising in various fields of mathematics and mechanics, it is often necessary to determine the values of derivatives included in the model.
Bimurat Sagindykov, Zhanar Bimurat
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Winding numbers and generalized mobility edges in non-Hermitian systems
Physical Review Research, 2020 The Aubry-André-Harper (AAH) model with a self-dual symmetry plays an important role in studying the Anderson localization. Here we find a self-dual symmetry determining the quantum phase transition between extended and localized states in a non ...
Qi-Bo Zeng, Yong Xu
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Modular perverse sheaves on flag varieties I: tilting and parity sheaves [PDF]
, 2015 In this paper we prove that the category of parity complexes on the flag variety of a complex connected reductive group is a "graded version" of the category of tilting perverse sheaves on the flag variety of the dual group, for any field of coefficients
A Joint +3 more
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