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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Monotonicity of the second Neumann eigenfunction in symmetry domain
对称域 第二个 诺依曼特征函数 单调性
2023/4/18
针对混凝土重力坝等大体积混凝土结构中,受原材料、混凝土拌合过程以及浇筑施工影响而产生的材料特性空间分布的随机性问题,采用平稳随机场局部平均法离散理论,推导了基于Neumann展开随机有限元的重力坝结构随机响应计算公式,提出了重力坝可靠度计算方法,并开发了相应Matlab计算程序。通过悬臂梁算例对该方法进行验证,并运用该方法研究了随机场离散单元尺寸及相关偏度对结构可靠度的影响,进而计算了典型重力坝坝...
本文通过经典的可导映射,运用矩阵分块的方法,证明了因子vonNeumann代数A上的每一个非线性混合Lie三重可导映射都是可加的*-导子.
(Never) Mind your p's and q's:Von Neumann versus Jordan on the Foundations of Quantum Theory
Pascual Jordan John von Neumann transformation theory probability amplitudes canonical transformations Hilbert space spectral theorem
2016/5/30
In early 1927, Pascual Jordan (1927b) published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von N...
A Tamper and Leakage Resilient von Neumann Architecture
tamper resistance non-malleable codes
2016/1/9
We present a universal framework for tamper and leakage resilient computation on a von
Neumann Random Access Architecture (RAM in short). The RAM has one CPU that accesses
a storage, which we call t...
In a celebrated paper published in 1951, von Neumann presented a simple procedure allowing to correct the bias of random sources. This device outputs bits at irregular intervals. However, cryptographi...
Insights from von Neumann analysis of high-order flux reconstruction schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method
2015/7/3
Additionally, twodimensional non-linear numerical experiments are undertaken in order to assess whether results of the 1D von Neumann analysis (which is inherently linear) extend to real world problem...
Spatially constrained harvest scheduling for strip allocation under Moore and Neumann neighbourhood adjacency
integer programming Moore and Neumann neighbourhood adjacency Shelterwood management strip cutting
2015/3/27
Adjacency constraints can be represented by Moore or Neumann neighbourhood adjacency, depending upon how candidate neighbours are assigned at corners adjacent to the target cell. Considering Moore and...
Succinct Non-Interactive Arguments for a von Neumann Architecture
Succinct Non-Interactive Arguments a von Neumann Architecture
2014/3/5
We design and build a system that enables clients to verify the outputs of programs executed by
untrusted servers. A server provides a succinct non-interactive zero-knowledge proof (also known as a
...
Does the theory of tracial von Neumann algebras have a model companion?
the theory of tracial von Neumann algebras model companion Logic
2012/7/11
In this note, we show that, assuming a positive solution to the Connes Embedding Problem (CEP), the theory of tracial von Neumann algebras does not have a model companion. This will follow from the fa...
二阶常微分方程Neumann边值问题正解的全局分歧
Neumann边值问题 Dancer全局分歧定理 正解 最优条件
2013/10/18
本文考虑二阶常微分方程Neumann边值问题正解的存在性,其中f:[0,1]×R→R(R=(-∞,+∞))为连续函数.运用Dancer全局分歧定理建立了上述问题正解的全局分歧,并且获得了保证上述问题存在正解的若干最优充分条件.
We will introduce the Rohlin property for flows on von Neumann algebras and classify them up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as ...
二阶奇异耦合微分方程组Neumann边值问题的解
Neumann边值问题 奇异耦合方程组 正解 Schauder不动点定理
2012/11/12
利用Schauder不动点定理研究二阶非自治半正的耦合微分方程组Neumann边值问题正解的存在性. 在扰动项积分值符号同正、 同负和异号的情况下, 分别获得了该奇异耦合微分方程组Neumann边值问题存在正解的条件。
Contact angles on a soft solid: from Young's law to Neumann's law
Contact angles soft solid Neumann's law Fluid Dynamics
2012/6/6
The contact angle that a liquid drop makes on a soft substrate does not obey the classical Young's relation, since the solid is deformed elastically by the action of the capillary forces. The finite e...