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素变量混合幂丢番图逼近
丢番图不等式 素数 Davenport-Heilbronn方法
2019/4/17
设λ1，λ2，λ3，λ4为不全为负的非零实数，λ1/λ2是无理数和代数数.V是具有良好间隔的序列，δ>0.本文证明了：对于任意ε>0及v∈V，v≤X，使得不等式|λ1p12+λ2p22+λ3p33+λ4p43-v|
Abel群的一些分解定理的推广(II)
拟循环模 A-宽 A-不变子空间
2019/4/17
本文讨论了2类具体的主理想整环上的拟循环模，研究了A-宽有限的向量空间，刻画了该类向量空间的结构，阐述了A-宽有限的向量空间的A-不变子空间构成的偏序集必满足极小条件，并给出了带有线性变换的向量空间作为F[λ]-模构成拟循环模的一个充要条件.
基于属性签名的属性远程证明方案
可信计算 远程证明 属性证明 属性基签名
2018/7/4
可信计算中的远程二进制平台完整性证明方式存在平台（软，硬件）配置泄露问题，导致针对性攻击、差别化服务和匿名性破坏。提出利用属性基签名（attribute based signature，ABS）构造远程证明中的属性证明方案（property based attestation，PBA）。将属性签名中的签名策略（属性树）映射到远程证明中的安全属性。利用属性签名的匿名性的特点，验证者无法得知证明方的具...
混合式CRP面元法计算对比
混合式CRP 面元法 整体计算模型 迭代计算模型
2019/1/2
目前，对于混合式CRP（contra-rotating propeller）的数值研究大部分是基于黏流方法，这主要是由于混合式CRP组成构件较多，运用势流方法求解存在一定的困难.但势流方法求解效率较高，在混合式CRP的设计方面，具有独特的优势.为建立混合式CRP的高效数值分析方法，从而为混合式CRP的设计工作奠定基础，研究首先将混合式CRP分成前桨和吊舱推进器两部分，以单个螺旋桨面元法和吊舱推进器...
STACER伸展变形的一种计算方法
伸展机构 薄壁钢带 大应变大挠度 变分方法
2019/1/2
STACER是一种航天器上广泛应用的伸展机构，其储能部件由薄壁钢带经冷加工涡卷最终成型为螺旋管状.由于伸展长度可达装载高度的几十倍，钢带在展开过程中呈现为大挠度、大应变形变，机构伸展力的计算必然涉及强非线性问题；同时，钢带的构型、边界条件在伸展过程中不断变化，这些因素又增加了问题的难度，致使常用的商业软件已无法直接处理此类问题.此研究工作应用变分方法的思想，以研究钢带变形的几何特性为基础，构造出钢...
We show that, for random walks on Cayley graphs, the long time behavior of the probability of
return after 2n steps is invariant by quasi-isometry.
On the deletion channel with small deletion probability
Delete channel point-to-point communication small expansion remove probability
2015/8/21
The deletion channel is the simplest point-to-point communication channel that models lack of synchronization. Despite significant effort, little is known about its capacity, and even less about...
How to Find Good Finite-Length Codes: From Art Towards Science
LDPC coding transmission binary probability
2015/8/21
We explain how to optimize finite-length LDPC codes for transmission over the binary erasure channel. Our approach relies on an analytic approximation of the erasure probability. This is in turn...
PERIODIC BOXCAR DECONVOLUTION AND DIOPHANTINE APPROXIMATION
BOXCAR DECONVOLUTION DIOPHANTINE APPROXIMATION
2015/8/20
We consider the nonparametric estimation of a periodic function that is
observed in additive Gaussian white noise after convolution with a “boxcar,”
the indicator function of an interval. This is an...
Symmetry analysis of reversible Markov chains
Reversible markov chain orbital diagram characteristic vector；the mixture of markov chain an arbitrary number
2015/8/11
We show how to use subgroups of the symmetry group of a reversible Markov chain to give useful bounds on eigenvalues and their multiplicity. We supplement classical representation theoretic tools invo...
Fast computation of optimal contact forces
Calculation of point-contact friction model power optimization problem semidefinite programming
2015/8/10
We consider the problem of computing the smallest contact forces, with point-contact friction model, that can hold an object in equilibrium against a known external applied force and torque. It is kno...
Subspaces that minimize the condition number of a matrix
Matrix the condition number subspace subspace
2015/8/10
We define the condition number of a nonsingular matrix on a subspace, and consider the problem of finding a subspace of given dimension that minimizes the condition number of a given matrix. We give a...
Quanta mathematica instrumentalis, from Latin, might mean How much mathematics for physical applications. But we try to give this expression another meaning.
We discuss how mathematics and its inst...
One interesting application of Theorem 0.1 is given in [DG, x3], where it is used to analyze the niteness
of the number of solutions to certain generalized Fermat equations. Another application of T...
POWER LAWS FOR MONKEYS TYPINGS RANDOMLY: THE CASE OF UNEQUAL PROBABILITIES
TYPINGS RANDOMLY UNEQUAL PROBABILITIES
2015/7/6
The case where letters are hit with unequal probability has been the subject of recent confusion, with
some suggesting that in this case the rank-frequency distribution follows a lognormal distributi...