Results 61 to 70 of about 8,500 (257)

Algebraic bases of some algebras of polynomials on Banach spaces

Математичні Студії
The work is devoted to the study of algebraic bases of algebras of continuous polynomials on real and complex Banach spaces. A subset of an algebra is called an algebraic basis if every element of the algebra can be uniquely represented as a linear ...
R. V. Ponomarov, T. V. Vasylyshyn
doaj   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Idempotent vector spaces and their linear transformations

Concrete Operators
This article extends topics about linear algebra and operator theoretic linear transformations on complex vector spaces to those on bicomplex spaces.
Johnston William, Wahl Rebecca G.
doaj   +1 more source

Gröbner Basis Cryptanalysis of Ciminion and Hydra

IACR Transactions on Symmetric Cryptology
Ciminion and Hydra are two recently introduced symmetric key Pseudo- Random Functions for Multi-Party Computation applications. For efficiency, both primitives utilize quadratic permutations at round level.
Matthias Johann Steiner
doaj   +1 more source

Study on fracture parameter calibration and failure characteristics of rock with hole and crack

Deep Underground Science and Engineering, EarlyView.
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley   +1 more source

Review and prospects of shear test of bolted rock joints

Deep Underground Science and Engineering, EarlyView.
The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren, Fan Yang, Manchao He, Yong Yuan, Zhigang Tao   +4 more
wiley   +1 more source

Computation of Difference Grobner Bases [PDF]

Computer Science Journal of Moldova, 2012
This paper is an updated and extended version of our note \cite{GR'06} (cf.\ also \cite{GR-ACAT}). To compute difference \Gr bases of ideals generated by linear polynomials we adopt to difference polynomial rings the involutive algorithm based on Janet ...
Vladimir P. Gerdt, Daniel Robertz
doaj  

DeepSeek in Education: Exploring the Transformative Potential of AI‐Driven Educational Intelligence

Future in Educational Research, EarlyView.
ABSTRACT The integration of artificial intelligence into education remains challenged by issues of scalability, interpretability, and multimodal adaptability. DeepSeek's AI‐driven educational tools show potential to improve educational applications through advances in reasoning efficiency, lightweight deployment, and multimodal fusion.
Jian Liao, Fan Sun, Yajie Liu, Yuli Hu
wiley   +1 more source

A minimal approach to the scattering of physical massless bosons

Journal of High Energy Physics, 2018
Tree and loop level scattering amplitudes which involve physical massless bosons are derived directly from physical constraints such as locality, symmetry and unitarity, bypassing path integral constructions.
Rutger H. Boels, Hui Luo
doaj   +1 more source

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley   +1 more source