Results 101 to 110 of about 511,555 (281)

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

Automorphism groups of some non-nilpotent Leibniz algebras

Researches in Mathematics
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[a,[b,c]]=[[a,b],c]+[b,[a,c]]$ for all $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko, P.Ye. Minaiev, O.O. Pypka   +2 more
doaj   +1 more source

Precision Restoration to Minimize Soil Loss in a Watershed in the Atlantic Forest Domain

Land Degradation &Development, EarlyView.
ABSTRACT The Turvo River Watershed, located in the Zona da Mata region of Minas Gerais and part of the Doce River Basin, faces serious problems of erosion and soil degradation, which compromise and reduce the quality of local water resources. Given this scenario, it is essential to implement environmental recovery strategies that prioritize the ...
Rodrigo Nobre Santana, Luíza Maria Affonso Lopes da Silva, Sady Júnior Martins da Costa Menezes, Getúlio Fonseca Domingues, Carlos Antônio Alvares Soares Ribeiro, Plinio Antonio Guerra Filho, Alexandre Rosa dos Santos   +6 more
wiley   +1 more source

The tensor product of m-partition algebras as a centralizer algebra of

Mathematics Open
In this paper, we concentrate on the generalized Jones result in Kennedy and Jaish (2021) which says that [Formula: see text], the tensor product of m-partition algebras is a centralizer algebra of the action of the direct product of symmetric groups ...
Amani M. Alfadhli
doaj   +1 more source

Pulsed Quantum Excitation

Laser &Photonics Reviews, EarlyView.
This manuscript demonstrates the improvements that single photon sources can gain if their source of excitation is quantum rather than classical. Illuminating a pair of identical two‐level systems, the author shows that the excitation with pulses of quantum light yields more antibunched and more indistinguishable emission than if the excitation were ...
Juan Camilo López Carreño
wiley   +1 more source

Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$

Mathematische Nachrichten, EarlyView.
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley   +1 more source

POLYCYCLIC GROUPS, ANALYTIC GROUPS AND ALGEBRAIC GROUPS

Proceedings of the London Mathematical Society, 2002
A group \(G\) is poly-(infinite cyclic) if it has a finite subnormal series \(G=G_n\geq G_{n-1}\geq\cdots\geq G_1\geq G_0=1\) such that each quotient \(G_i/G_{i-1}\) is infinite cyclic. A basis for a poly-(infinite cyclic) group is a sequence of elements \((x_1,\dots,x_n)\) such that \(G_i=(x_1,\dots,x_i)\).
openaire   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Unit group of algebra of circulant matrices [PDF]

International Journal of Group Theory, 2013
Let Crn(Fp) denote the algebra of nXn circulant matrices over Fp, finite field of order p of prime characteristic p. The order of the unit groups U(Cr3(Fp)), U(Cr4(Fp)) and U(Cr5(Fp)) of algebras of circulant matrices over Fp are characterized.
Rajendra Sharma, Pooja Yadav
doaj  

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source