Results 41 to 50 of about 21,261 (267)
Circular Distributions and Euler Systems
Journal of Number Theory, 2001 This article is based on the following observation: Euler systems provide bounds on class groups of real cyclotomic fields. Due to the analytic class number formula, the bounds provided by (Euler systems of) cyclotomic units are already best possible, so in a sense to be made precise, every Euler system has already to be cyclotomic. The exact statement
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Journal fur die reine und angewandte Mathematik (Crelles Journal), 2006 If E is an elliptic curve over Q and K is an imaginary quadratic field, there is an Iwasawa main conjecture predicting the behavior of the Selmer group of E over the anticyclotomic Z_p-extension of K. The main conjecture takes different forms depending on the sign of the functional equation of L(E/K,s). In the present work we combine ideas of Bertolini
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Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
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Real-space approach for the Euler class and fragile topology in quasicrystals and amorphous lattices
SciPost PhysicsWe propose a real-space formalism of the topological Euler class, which characterizes the fragile topology of two-dimensional systems with real wave functions.
Dexin Li, Citian Wang, Huaqing Huang
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Sampled-Data Consensus of Networked Euler-Lagrange Systems: A Discrete Small-Gain Approach
IEEE Access, 2021 This paper studies the sampled-data consensus of networked Euler-Lagrange systems. The sampled-data feedback causes infinities at sampling instants in the control input due to the differentiation of the feedback by the conventional control law designed ...
Yilin Wang +4 more
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Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales
Advanced Engineering Materials, EarlyView.Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik +7 more
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On Euler systems of rank $r$ and their Kolyvagin systems
Indiana University Mathematics Journal, 2010 43 pages, to appear in Indiana U. Math. Journal.
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Advanced Engineering Materials, EarlyView.Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati +11 more
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Advanced Functional Materials, EarlyView.Two‐photon grayscale lithography (2GL) enables high‐speed and precise 3D printing of thermolyzed silica glass microstructures with optical‐grade surface quality, high quality factors, and mechanical strength utilizing a custom‐made pre‐glass resist based on polyhedral oligomeric silsesquioxane (POSS) modified with a high‐sensitivity Norrish type II ...
Jonathan L. G. Schneider +4 more
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Dynamical equations of multibody systems on Lie groups
Advances in Mechanical Engineering, 2015 The Euler–Poinaré principle is a reduced Hamilton’s principle under Lie group framework. In this article, it is applied to derive a hybrid set of dynamical equations of rigid multibody systems, which include four parts: the classical Euler–Lagrange ...
Wenjie Yu, Zhenkuan Pan
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