A characterization of half-factorial orders in algebraic number fields [PDF]
We give an algebraic characterization of half-factorial orders in algebraic number fields.
Rago, Balint
core +1 more source
Character sums in algebraic number fields [PDF]
The Pólya-Vinogradov inequality is generalized to arbitrary algebraic number fields K of finite degree over the rationals. The proof makes use of Siegel's summation formula and requires results about Hecke's zeta-functions with Grössencharacters.
Hinz, Jürgen G, Jürgen G Hinz
core +1 more source
Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection
We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan +1 more
wiley +1 more source
On finite arithmetic groups [PDF]
Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
doaj
Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica +38 more
wiley +1 more source
Exotic integral witt equivalence of algebraic number fields [PDF]
Two algebraic number fields K and L are said to be exotically integrally Witt equivalent if there is a ring isomorphism W(OK) ~ W(OL) between the Witt rings of the number rings OK and OL of K and L, respectively. This dissertation studies exotic integral
Kang, Changheon
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Designing Wire Mazes for Replicating Natural Echoes to Study Bat Biosonar Function
A validated framework combining efficient physical modeling (multiple scattering model) and deep learning is presented to guide wire‐maze design for bat biosonar studies. This approach rapidly generates large datasets to test acoustic distinguishability among wire arrangements.
Chunlin Jia +3 more
wiley +1 more source
Unit group of the ring of negacirculant matrices over finite commutative chain rings
Circulant matrices form an important class of matrices that have been continuously studied due to their nice algebraic structures and wide applications. In this study, we focus specifically on negacirculant matrices, which are known as extensions of the ...
Naksing Prarinya, Jitman Somphong
doaj +1 more source
Strongly secure quantum ramp secret sharing constructed from algebraic curves over finite fields [PDF]
The first construction of strongly secure quantum ramp secret sharing by Zhang and Matsumoto had an undesirable feature that the dimension of quantum shares must be larger than the number of shares.
Matsumoto, Ryutaroh
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Farm labor scarcity and its uneven impacts on crop producers in the United States
Abstract This study is the first to evaluate the impacts of farm labor scarcity on producers in the United States across different crop production systems. Between 2002 and 2017, we disentangle the effects of labor scarcity from the impacts of rising commodity demand, technological change, and supply of other inputs on labor market outcomes.
Srabashi Ray +4 more
wiley +1 more source

