Moore's Conjecture for Polyhedral Products
Moore's Conjecture is shown to hold for generalized moment-angle complexes and a criterion is proved that determines when a polyhedral product is elliptic or hyperbolic....
General complex envelope solutions of coupled-mode optics with quadratic or cubic nonlinea…
The analytic general solutions for the complex field envelopes are derived using Weierstrass elliptic functions for two and three mode systems of differential equations coupled via quadratic $χ_2$ type nonlinearity as well as two mode systems couple...
An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometri…
Radial basis function generated finite difference (RBF-FD) methods for PDEs require a set of interpolation points which conform to the computational domain $Ω$. One of the requirements leading to approximation robustness is to place the interpolatio...
Implicit certificate - Wikipedia
article, such certificates will be called "explicit" certificates. Elliptic Curve Qu-Vanstone (ECQV) is one kind of implicit certificate scheme. It is
Mathieu Moonshine and Symmetry Surfing
Mathieu Moonshine, the observation that the Fourier coefficients of the elliptic genus on K3 can be interpreted as dimensions of representations of the Mathieu group M24, has been proven abstractly, but a conceptual understanding in terms of a repres...
Two-grid discretizations and a local finite element scheme for a non-selfadjoint Stekloff…
In this paper, for a new Stekloff eigenvalue problem which is non-selfadjoint and not $H^1$-elliptic, we establish and analyze two kinds of two-grid discretization scheme and a local finite element scheme. We present the error estimates of approximat...
The lower bound property of the Morley element eigenvalues
In this paper, we prove that the Morley element eigenvalues approximate the exact ones from below on regular meshes, including adaptive local refined meshes, for the fourth-order elliptic eigenvalue problems with the clamped boundary condition in any...
Miraging a Majorana
The image of a Majorana mode located on the focus of an elliptical corral of free electrons is studied. The Majorana mode may be taken at the edge of a topological wire superimposed on the two-dimensional electron gas. At low energies the states of t...
Elliptic Dichroism in Angular Distributions in Free-Free Transitions in Hydrogen
We discuss here the effect of the photon helicity in laser induced and inverse bremstrahlung for {\it high energy scattering} of electrons by hydrogen atoms. We demonstrate that it is possible to find EDAD for high scattering energies of the electron...
Lowered Nonextensive Stellar Distribution
The structure of globular clusters and elliptical galaxies are described in an unified way through a new class of lowered models inspired on the nonextensive kinetic theory. These power law models are specified by a single parameter q which quantif...
The Mass Distribution in the Elliptical Galaxy NGC 3377: Evidence for a 2 x 10**8 Solar Ma…
We have measured the mass distribution in the central 35" = 1.7 kpc of the E5 galaxy NGC 3377. Stellar rotation velocity and velocity dispersion profiles (seeing sigma_* = 0.20 - 0.56 arcsec) and V-band surface photometry (sigma_* = 0.20 - 0.26 arc...
starkware-libs/starkware-crypto-utils
Signatures, keys and Pedersen hash on STARK friendly elliptic curve (⭐ 54)
RadioAstron: An Earth-Space Radio Interferometer with a 350,000 km Baseline
RadioAstron is a Russian space based radio telescope with a ten meter dish in a highly elliptical orbit with an eight to nine day period. RadioAstron works together with Earth based radio telescopes to give interferometer baselines extending up to 35...
Dome - definition of dome by The Free Dictionary
Define dome. dome synonyms, dome pronunciation, dome translation, English dictionary definition of dome. dome n. 1. a. A roof or vault having a circular, polygonal, or elliptical base and a generally …
Bra-Ket Representation of the Inertia Tensor
We employ Dirac's bra-ket notation to define the inertia tensor operator that is independent of the choice of bases or coordinate system. The principal axes and the corresponding principal values for the elliptic plate are determined only based on th...
Orbifolds and the modular curve
We provide an account of the construction of the moduli stack of elliptic curves as an analytic orbifold. While intimately linked to Thurston's point of view on the subject (discrete groups acting properly and effectively on differentiable manifolds)...
Vector Beams with Parabolic and Elliptic Cross-Sections for Laser Material Processing Appl…
Beam profile engineering, where a desired optical intensity distribution can be generated by an array of phase shifting (or amplitude changing) elements is a promising approach in laser material processing. For example, a spatial light modulator (SLM...
Discovery of O VII line emitting gas in elliptical galaxies
In the cores of ellipticals, clusters, and groups of galaxies, the gas has a cooling time shorter than 1 Gyr. It is possible to probe cooling flows through the detection of Fe XVII and O VII emission lines, but so far O VII has not been detected in a...
Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotrop…
We prove a sharp upper bound for the first Dirichlet eigenvalue of a class of nonlinear elliptic operators which includes the p-Laplace and the pseudo-p-Laplace operators. Moreover, we prove a stability result by means of a suitable isoperimetric def...
Pursuing polynomial bounds on torsion
We show that for all epsilon > 0, there is a constant C(epsilon) > 0 such that for all elliptic curves E defined over a number field F with j(E) in Q we have #E(F)[tors] \leq C(epsilon)[F:Q]^{5/2+epsilon}. We pursue further bounds on the size of the...