Results 81 to 90 of about 1,412,537 (346)
Units in arithmetic progression in an algebraic number field
, 1974 It is shown that a given algebraic number field of degree n ?4 over the rationals can contain at most n units in arithmetic progression, and that this bound is sharp.
M. Newman
semanticscholar +1 more source
Advanced Theory and Simulations, EarlyView.Increasing half‐cycles intensifies turbulence due to enhanced vortex interactions and flow separation at the diverged‐outlets. Longer wavy ducts are shown to increase flow acceleration, resulting in greater output velocities and more turbulent‐kinetic‐energy production. Wave‐period plays a crucial role in determining turbulent intensity, with amplitude
I. L. Animasaun +2 more
wiley +1 more source
The condition number associated with ideal lattices from odd prime degree cyclic number fields
Journal of Mathematical CryptologyThe condition number of a generator matrix of an ideal lattice derived from the ring of integers of an algebraic number field is an important quantity associated with the equivalence between two computational problems in lattice-based cryptography, the ...
de Araujo Robson Ricardo
doaj +1 more source
Моделирование и анализ информационных систем, 2017 We investigate interrelations between the Tate conjecture for divisors on a fibred variety over a finite field and the Tate conjecture for divisors on the generic scheme fibre under the condition that the generic scheme fibre has zero irregularity. Let \(
Tatyana V. Prokhorova
doaj +1 more source
A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher
IEEE Access, 2020 In the symmetric key cryptography, the purpose of the substitution box is to generate confusion and hence improve the security of the whole cryptosystem.
Sadam Hussain +3 more
doaj +1 more source
Lattice index codes from algebraic number fields [PDF]
International Symposium on Information Theory, 2015 Broadcasting K independent messages to multiple users where each user has a subset of the K messages as side information is studied. This problem can be regarded as a natural generalization of the well-known index coding problem to the physical-layer ...
Yu-Chih Huang
semanticscholar +1 more source
Advanced Theory and Simulations, EarlyView.FMint is introduced as a multi‐modal foundation model that integrates human‐designed solvers and data‐driven methods for fast, accurate simulation of dynamical systems. FMint leverages in‐context learning within a transformer‐based framework to refine coarse numerical solutions.
Zezheng Song, Jiaxin Yuan, Haizhao Yang
wiley +1 more source
MIXING FOR PROGRESSIONS IN NONABELIAN GROUPS
Forum of Mathematics, Sigma, 2013 We study the mixing properties of progressions $(x, xg, x{g}^{2} )$ , $(x, xg, x{g}^{2} , x{g}^
TERENCE TAO
doaj +1 more source
Short Principal Ideal Problem in multicubic fields
Journal of Mathematical Cryptology, 2020 One family of candidates to build a post-quantum cryptosystem upon relies on euclidean lattices. In order to make such cryptosystems more efficient, one can consider special lattices with an additional algebraic structure such as ideal lattices.
Lesavourey Andrea +2 more
doaj +1 more source
Label‐Free 3D Photoacoustic Imaging of Tumor Organoids for Volumetric Drug Screening
Advanced Science, EarlyView.A label‐free organoid photoacoustic imaging (LFOPI) system is developed for precise volumetric drug screening evaluation. As a proof of concept, LFOPI's performance in chemotherapy and immunotherapy drug screening assays are further evaluated. The LFOPI offers unique non‐invasive, label‐free capabilities for tumor organoids, and contributes to the ...
Xiaofei Luo +18 more
wiley +1 more source