Results 101 to 110 of about 2,443 (266)

In Situ Measurement of Oxygen Vacancy Dynamics and Surface Exchange Reactions in Oxide Electrode under Solid Electrochemical Cell Operating Conditions

Advanced Energy Materials, EarlyView.
This study establishes an in situ electrochemical framework using dense bulk electrodes to identify defect chemistry and surface kinetics. While oxygen vacancy concentration is derived via bias modulation, surface exchange coefficients are quantified at open circuit voltage conditions to isolate kinetics.
Taeyun Kim, Jinsil Lee, Hee Jung Park, Ji Haeng Yu, José M. Serra, Jong Hoon Joo   +5 more
wiley   +1 more source

Unit, Irreducible, and Prime Elements of The Integral Domain Z[sqrt (5)]

Jurnal Matematika
In abstract algebra at the undergraduate level, the ring Z[sqrt(5)] is often used as a simple example of an integral domain that does not satisfy the unique factorization domain (UFD) but Z[sqrt(5)] is Halfway Factorial Domain (HFD).
Daisyah Alifian Fatahillaj
doaj   +1 more source

Graph‐based imitation and reinforcement learning for efficient Benders decomposition

AIChE Journal, EarlyView.
Abstract This work introduces an end‐to‐end graph‐based agent for accelerating the computational efficiency of Benders Decomposition. The agent's policy is parameterized by a graph neural network, which takes as input a bipartite graph representation of the master problem and proposes a candidate solution.
Bernard T. Agyeman, Zhe Li, Ilias Mitrai, Prodromos Daoutidis   +3 more
wiley   +1 more source

Minimum flows in the total graph of a finite commutative ring [PDF]

Transactions on Combinatorics, 2014
Let $R$ be a commutative ring with zero-divisor set $Z(R)$. The total graph of $R$, denoted by $T(Gamma(R))$, is the simple (undirected) graph with vertex set $R$ where two distinct vertices are adjacent if their sum lies in $Z(R)$.
Torsten Sander, Khalida Mohammad Nazzal
doaj  

Technoeconomic and sustainability analysis of batch and continuous crystallization for pharmaceutical manufacturing

AIChE Journal, EarlyView.
Abstract In pharmaceutical industries, continuous manufacturing methods have already been well established to improve productivity and process intensification. However, to better understand the trade‐offs of continuous crystallizers over the existing batch production systems, a robust technoeconomic cost and sustainability analysis is necessary to ...
Jungsoo Rhim, Zoltan K. Nagy
wiley   +1 more source

Generating Ideals in Rings of Integer-Valued Polynomials

Canadian Mathematical Bulletin, 1985
AbstractLetRbe a one-dimensional locally analytically irreducible Noetherian domain with finite residue fields. In this note it is shown that if I is a finitely generated ideal of the ring Int(R) of integer-valued polynomials such that for eachx∈ R the idealis stronglyn-generated,n≥ 2, thenIisn-generated, and some variations of this result.
openaire   +1 more source

Comparison of DeePMD, MTP, GAP, ACE and MACE Machine‐Learned Potentials for Radiation‐Damage Simulations: A User Perspective

Advanced Intelligent Discovery, EarlyView.
The authors evaluated six machine‐learned interatomic potentials for simulating threshold displacement energies and tritium diffusion in LiAlO2 essential for tritium production. Trained on the same density functional theory data and benchmarked against traditional models for accuracy, stability, displacement energies, and cost, Moment Tensor Potential ...
Ankit Roy, Ram Devanathan, Sarah Allec, Giridhar Nandipati, Andrew M. Casella, David J. Senor, Duane D. Johnson, Ganesh Balasubramanian, Ayoub Soulami   +8 more
wiley   +1 more source

Graph of Orthogonal Idempotent Elements in Rings of Integers Modulo n With Spectral Clustering

Journal of Mathematics
The zero-divisor graph provides a relationship between abstract algebra and graph theory. Based on this concept, a new graph is defined using the orthogonal idempotent elements in a ring.
Shaimaa H. Ahmad, Mohammed Th. Al-Neima, Zubaida M. Ibraheem, Ahmed M. Ali   +3 more
doaj   +1 more source

Elimination theory for the ring of algebraic integers.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1988
Let \(\mathcal R\) be the ring of all algebraic integers, \(\mathcal R\subset\mathbb C\). The author proves the following elimination theorem: Each elementary problem about \(\mathcal R\) can be effectively reduced to a finite number of ideal membership questions about the algebraic integers constructed by a simple algorithm from the parameters of the ...
openaire   +2 more sources

Unit Fractions in Norm-Euclidean Rings of Integers

, 2014
In this paper we make a Gaussian integer version of the Erd s-Straus conjecture and we solve the Erd s-Straus diophantine equation over the rings of integers of norm-Euclidean quadratic fields.
Bradford, K., Ionascu, E. J.
openaire   +3 more sources