Results 11 to 20 of about 2,188,732 (293)
On the Spectrum of the Local $${\mathbb {P}}^2$$ Mirror Curve [PDF]
AbstractWe address the spectral problem of the formally normal quantum mechanical operator associated with the quantised mirror curve of the toric (almost) del Pezzo Calabi–Yau threefold called local $${\mathbb {P}}^2$$ P 2 in the case of complex values of Planck’s constant.
Rinat Kashaev, Sergey Sergeev
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Spectrum of power laws for curved hand movements [PDF]
Significance In curved hand movements around ellipses, the speed tends to scale inversely with the curvature with a power law having an exponent of −1/3. We examined whether this well-known regularity in motor planning holds for more general shapes. Using an optimality principle, we identified a set of basis shapes, each with a single
Huh, Dongsung, Sejnowski, Terrence J
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Let \(\pi:\Gamma(2)\to H_ 1(\Gamma(2))\cong\mathbb{Z}^ 2\) be the canonical map and let \(R_ N:\mathbb{Z}^ 2\to(\mathbb{Z}/N\mathbb{Z})^ 2\) denote the reduction \(\bmod N\) where \(N\geq 1\) is an integer. The group \(\Phi(N):=\text{ker}(R_ N\circ\pi)\) defines an abelian Galois covering \(\Phi(N)\backslash\mathbb{H}\) of \(\Gamma(2)\backslash\mathbb ...
Philips, R., Sarnak, P.
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Spectrum curves for a discrete Sturm–Liouville problem with one integral boundary condition
This paper presents new results on the spectrum on complex plane for discrete Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters: γ, ξ1 and ξ2.
Kristina Bingelė +2 more
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In this paper, hollow-core photonic crystal fibers (PCFs) infiltrated with benzene and nitrobenzene are designed and investigated. Their dispersion characteristics are numerically simulated.
Thi Thuy Nguyen +7 more
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On the Spectrum of Curved Planar Waveguides
The spectrum of the Laplace operator in a curved strip of constant width built along an infinite plane curve, subject to three different types of boundary conditions (Dirichlet, Neumann and a combination of these ones, respectively), is investigated. We prove that the essential spectrum as a set is stable under any curvature of the reference curve which ...
David Krejčiřík, Jan Kříž
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Selector for the Spectrum Award 2018
Billingham was invited to be part of the selection panel for the first Spectrum Award in 2018 alongside Mark Wallinger, Charming Baker, Professor Simon Baron-Cohen, Sacha Craddock and Mary Simpson.
Billingham, Richard, Spectrum
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Spectrum Curves for Sturm–Liouville Problem with Integral Boundary Condition
We consider Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters γ (multiplier in nonlocal condition), ξ1, ξ2 ([ξ1, ξ2] is a domain of integration).
Agnė Skučaitė, Artūras Štikonas
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Editorial Note: Impact of COVID-19 on Spectrum operations
To support our authors, reviewers and editors during the COVID-19 pandemic, the Spectrum Editorial Board has relaxed its timelines for the publication of this most recent issue (Issue 5). We are working with our authors on their Issue 5 submissions,
Editorial Board, Spectrum
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Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]
The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
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