Results 21 to 30 of about 537 (169)
Taiyuan Ligong Daxue xuebao, 2022 In view of the fact that the current automatic position adjustment model of Five-hundred-meter Aperture Spherical radio Telescope (FAST)main cable nodes and actuators is only limited to point-to-point model and lacks the establishment of dynamic change ...
Xuejun GUO +4 more
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Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
Journal of High Energy Physics, 2023 We give the first numerical calculation of the spectrum of the Laplacian acting on bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the approximate eigenvalues and eigenmodes of the Dolbeault Laplacian acting on bundle-
A. Ashmore +3 more
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Primality deterministic and primality probabilistic tests
Statistica, 2007 In this paper the A. comments the importance of prime numbers in mathematics and in cryptography. He remembers the very important researches of Eulero, Fermat, Legen-re, Rieman and others scholarships.
Alfredo Rizzi
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Depth Optimization of FLT-Based Quantum Inversion Circuit
IEEE Access, 2023 Works on quantum computing and cryptanalysis have increased significantly in the past few years. Various constructions of quantum arithmetic circuits as one of the primary elements in the field have also been proposed. However, there have only been a few
Harashta Tatimma Larasati +4 more
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Can the Applied Optics Employ Modern Approaches Developed in Seismic Prospecting? A Review
Physics, 2022 The concept of infinitesimal elastic deformation and the theory of elastic seismic waves was formed in the first part of the 19th century and was based mainly on the Fermat, Huygens and Snell developments in the theory of optics.
Alexander Berkovitch, Lev V. Eppelbaum
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The twentieth Fermat number is composite [PDF]
Mathematics of Computation, 1988 The twentieth Fermat number, F 20 = 2 2 20 + 1 {F_{20}
Young, Jeff, Buell, Duncan A.
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Trigonometric Polynomial Solutions of Bernoulli Trigonometric Polynomial Differential Equations
Mathematics, 2022 We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being trigonometric polynomials of degree at most μ≥1 in variables θ and Bn(θ)≢0.
Claudia Valls
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Distribution of generalized Fermat prime numbers [PDF]
Mathematics of Computation, 2001 Summary: Numbers of the form \(F_{b,n}=b^{2^n}+1\) are called Generalized Fermat Numbers (GFN). A computational method for testing the probable primality of a GFN is described which is as fast as testing a number of the form \(2^m-1\). The theoretical distributions of GFN primes, for fixed \(n\), are derived and compared to the actual distributions ...
Dubner, Harvey, Gallot, Yves
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New factors of Fermat numbers [PDF]
Mathematics of Computation, 1995 Forty-six new factors of Fermat numbers are given, along with a summary of the search limits.
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New Factors of Fermat Numbers [PDF]
Mathematics of Computation, 1964 From Table 1, in turn, we may compute [3], [4] the Hardy-Littlewood constants ha for a = =t5 and ? 10. Together with previously computed values, we may thus complete an 8D table of ha for a = -10(1)10 except for a = 47. The L+7(s), needed to fill this gap, may also be expressed in terms of I, (a) and R8( a), but this time the arguments a are not given ...
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