Results 61 to 70 of about 7,736 (267)

𝐶*-algebras and differential topology [PDF]

Bulletin of the American Mathematical Society, 1985
Let M be a smooth closed manifold. The isotopy classes of smooth structures on M can be made into a finite abelian group \(\Sigma(M).\) The author constructs the homomorphism \(\vartheta(\Sigma(M)\to K^ 0(M))\) into the multiplicative group of units. The main results: there is a manifold M with a second structure \(\alpha \in \Sigma (M)_{(2)}\), for ...
openaire   +3 more sources

Physics‐Constrained Constitutive Learning of Rate‐Limiting Timescales for Efficient Hydrogen‐Based Direct Reduction for Green Steel Making

Advanced Science, EarlyView.
A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai, Barak Ratzker, Pasquale Cavaliere, Dierk Raabe   +3 more
wiley   +1 more source

Differential Gerstenhaber Algebras Associated to Nilpotent Algebras [PDF]

Asian Journal of Mathematics, 2008
30 Pages. 3 Tables. Proof of Theorem 29 is revised.
Cleyton, Richard, Poon, Yat-Sun
openaire   +3 more sources

TRIM: Simultaneous Thermometry, Ranging, and Imaging via a Monolithic Metalens

Advanced Science, EarlyView.
ABSTRACT While metasurfaces offer a pathway beyond the discrete architectures of conventional LWIR systems, physically fusing high‐precision thermometry and passive ranging onto a single metalens remains a formidable challenge. Here, we demonstrate a monolithic, dual‐focus metalens capable of simultaneous multidimensional sensing.
Man Yuan, Yuqing Zhang, Wangzhe Zhou, Zhaojian Zhang, Xiaoyun He, Xinpeng Jiang, Yiyi Li, Xin He, Jiagui Wu, Yuanmu Yang, Junbo Yang   +10 more
wiley   +1 more source

Generalised symmetries of remarkable (1+2)-dimensional Fokker–Planck equation

European Journal of Applied Mathematics
Using an original method, we find the algebra of generalised symmetries of a remarkable (1+2)-dimensional ultraparabolic Fokker–Planck equation, which is also called the Kolmogorov equation and is singled out within the entire class of ultraparabolic ...
Dmytro R. Popovych, Serhii D. Koval, Roman O. Popovych   +2 more
doaj   +1 more source

On differential Rota–Baxter algebras

Journal of Pure and Applied Algebra, 2008
A Rota-Baxter operator of weight $λ$ is an abstraction of both the integral operator (when $λ=0$) and the summation operator (when $λ=1$). We similarly define a differential operator of weight $λ$ that includes both the differential operator (when $λ=0$) and the difference operator (when $λ=1$).
Guo, Li, Keigher, William
openaire   +3 more sources

Beyond Percolation: Graphene‐Enabled Network Reinforcement Enhances Thermal Transport in Paraffin Phase‐Change Composites

Advanced Science, EarlyView.
Expanded‐graphite/graphene‐nanoplatelet hybrids deliver a near‐order‐of‐magnitude thermal‐conductivity enhancement in paraffin phase‐change materials. A microCT‐informed 3D modeling framework resolves the percolating EG backbone and captures sub‐voxel GNP enrichment, quantitatively linking microstructure to heat flow and revealing a graphene‐enabled ...
Thomas Hoke, Jackson Hoke, Shucheng Guo, Brittany Chan, Xi Chen   +4 more
wiley   +1 more source

Quantum Riemannian geometry of phase space and nonassociativity

Demonstratio Mathematica, 2017
Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
doaj   +1 more source

An exciting Approach to Theoretical Spectroscopy

Advanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

Correcting Apparent Priming Bias Unveils Fertilizer Nitrogen‐Risk Archetypes of Surplus and Depletion Across Asian Rice Systems

Advanced Science, EarlyView.
Correcting the apparent priming effect resolves systematic biases in Asian rice fertilizer nitrogen accounting. Net soil retention drops below 7%, while 48% of fertilizer escapes, inflicting US$98.53 billion in annual reactive‐nitrogen damages. High‐resolution mapping uncovers N‐risk archetypes across 42% of the rice area, delivering a spatially ...
Xiuyun Liu, Siyuan Cai, Longlong Xia, Jagdish K. Ladha, Xiaoyuan Yan, Xu Zhao   +5 more
wiley   +1 more source