Results 61 to 70 of about 382,616 (334)
Advanced Photonics Research, EarlyView.Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang +2 more
wiley +1 more source
Splitting fields of elements in arithmetic groups
, 2011 We prove that the number of unimodular integral matrices in a norm ball whose characteristic polynomial has Galois group different than the full symmetric group is of strictly lower order of magnitude than the number of all such matrices in the ball, as ...
Gorodnik, Alex, Nevo, Amos
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On the computation of the class number of an algebraic number field [PDF]
Mathematics of Computation, 1989 It is shown how the analytic class number formula can be used to produce an algorithm which efficiently computes the class number h of an algebraic number field F. The method assumes the truth of the Generalized Riemann Hypothesis in order to estimate the residue of the Dedekind zeta function of F at s = 1 s = 1
Buchmann, Johannes, Williams, H. C.
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Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Characterizing algebraic curves with infinitely many integral points
, 2009 A classical theorem of Siegel asserts that the set of S-integral points of an algebraic curve C over a number field is finite unless C has genus 0 and at most two points at infinity. In this paper we give necessary and sufficient conditions for C to have
Bilu, Yuri +2 more
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The geometry of numbers over algebraic number fields [PDF]
Transactions of the American Mathematical Society, 1958 1. The Geometry of Numbers was founded by Minkowski in order to attack certain arithmetical problems, and is normally concerned with lattices over the rational integers. Minkowski himself, however, also treated a special problem over complex quadratic number fields [5], and a number of writers have since followed him.
Rogers, K., Swinnerton-Dyer, H. P. F.
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Advanced Theory and Simulations, EarlyView.Phase‐field method based numerical modelling of the capillary rise in millimeter‐sized tubes, aiming for anti‐slip applications. The experimental validation was performed through capillary assays in polyethylene oxide (PEO) bulk modified polydimethylsiloxane (PDMS) channels.
Shivam Sharma +7 more
wiley +1 more source
Catalytic Electron‐Driven Non‐Equilibrium Phase Transition in Quantum Electronic Heterostructures
Advanced Science, EarlyView.This study proposes an innovative method to control the phase of heterostructured materials via electron flow manipulation. Leveraging this technique, a new topological phase is achieved that hosts excitons at the interface of a topological insulator.
Byung Cheol Park +5 more
wiley +1 more source
Super Time‐Resolved Tomography
Advanced Science, EarlyView.A super time‐resolved tomography (STRT) approach is presented to reconstruct 4D X‐ray movies with an order‐of‐magnitude improvement in temporal resolution without sacrificing spatial resolution. By leveraging a physics‐informed deep learning algorithm that shares spatiotemporal features, STRT achieves high‐fidelity 3D reconstructions from sparse‐view ...
Zhe Hu +6 more
wiley +1 more source
Diophantine equations related to quasicrystals: a note
, 2001 We give the general solution of three Diophantine equations in the ring of integer of the algebraic number field ${\bf Q}[{\sqr 5}]$. These equations are related to the problem of determination of the minimum distance in quasicrystals with fivefold ...
Pelantová, E., Perelomov, A. M.
core +2 more sources