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Recurrence relation for the 6j-symbol of su_q(2) from an eigenvalue problem
Racah-Wigner coefficients 6j-symbol quantum group eigenvalue problem
2010/12/3
A new, linear, three-term recurrence relation for the 6j-symbol of the quantum group suq(2) is derived. It is cast in the form of a symmetric eigenvalue problem, generalizing a result of Schulten and ...
Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients
point perturbation bounded variation asymptotics of orthogonal polynomials
2010/12/1
We present the construction of a probability measure d with compact support on R such that adding a discrete pure point results in changes in the recursion coecients without expo-
nential decay.
Topological recursion for the Poincare polynomial of the combinatorial moduli space of curves
Topological recursion Poincare polynomial combinatorial moduli space of curves
2010/12/3
We show that the Poincare polynomial associated with the orbifold cell decomposition of the moduli space of smooth algebraic curves with distinct marked points satis es a topological
recursion formu...
A generalized backwards scheme for solving non monotonic stochastic recursions
Stochastic recursions Stationary solutions Enriched probability space
2010/12/1
We propose an explicit construction of a stationary solution for a stochastic recursion of the form X ◦q = j(X) on a partially-ordered Polish space, when the monotonicity of j is not assumed. Un...
基于Samelson逆的矩阵ε-算法和η算法及对矩阵指数的应用
矩阵指数 η算法 矩阵ε-算法 Samelson逆
2009/10/26
The Samelson inverse mains Pade approximation (SMPA) is introduced in [3]. Bymeans of Samelson invrese for matrices, s-algorithm and n-algorithm, which are used asthe computation for SMPA, are establi...
结合区间算术和退火遗传算法的曲面求交
曲面求交 退火遗传算法 区间算术
2009/10/26
曲面求交问题,由于在几何实体建模中的重要性,而得到广泛地重视和讨论.目前,已有文献中记载的方法大致可分为:解析法、隐函数法、离散网格法、自适应分割法、局部跟踪法等,其中解析法、隐函数法虽然求解精确、可靠,但依赖于曲面的解析性质及曲面方程,故只能适用于特定类型的曲面求交.离散网格法、自适应分割法虽然对曲面类型没有限制,但存在离散精度与运算效率的矛盾,并普遍存在病态情况.局部跟踪法由于不限定曲面类型且...
适用于两种特定数据结构的CG算法与SOR算法
SOR算法 CG算法 数据结构
2009/10/23
许多科学、工程计算问题都归结为大型线性方程组的求解.共轭斜量法与逐次超松弛方法是最常用的迭代法,它们或直接用于线性方程组的求解,或用于对直接法求出的近似解进行磨光.在上述两种迭代方法中,系数矩阵与列向量的乘积占很大计算量.因此,减少寻找运算数据所占用的时间,特别是对于大型稀疏方程组,系数矩阵分块存在外存贮器的情况下,减少寻址和数据I/O次数,对提高运行效率是举足轻重的.本文给出的是适用于两种常见...
一类递归小波神经网络的稳定性研究
递归小波神经网络 渐近稳定性 非线性系统 Liapunov函数
2008/2/11
卷期页码：第28卷 第4期
(2007年4月) P.428
文章编号：1000-0887(2007)04-0428-05
一类递归小波神经网络的稳定性研究
邓韧，李著信，樊友洪
后勤工程学院，重庆 400016
摘要：在小波神经网络（WNNs）和递归神经网络（RNNs）的基础上，提出了一类递归小波神经网络（RWNNs）模型，它具有两种网络模型的优点A·D2根据Liapunov渐近...
The Universal Kolyvagin Recursion Implies the Kolyvagin Recursion
Euler system universal distribution Kolyvagin recursion
2007/12/13
Let $\mathscr U_z$ be the universal norm distribution and $M$ a fixed power of prime $p$. By using the double complex method employed by Anderson, we study the universal Kolyvagin recursion occurring ...
高型递归论,Kleene-递归论及一般递归论之间的一个关系
2007/12/12
这篇文章中,我们用算子代替泛函作为量词变量定义递归分层和推广递归论,证明半递归于$^{\lambda}E$的子集集合在量词$\exists ^l$下封闭,这样就使得更高型递归论与型-2递归论在许多方面都是一致的;而在一般定义下,更高型递归论与型-2递归论之间有一个主要差别就是半递归于$^n E$的子集集合在量词$\exists^{n-1}$下不封闭,尽管在量词$\exists^{n-2}$下封闭...
递归集的k-1-度上半格的不可补性与不可分配性
2007/12/11
我们在[11]中证明了多项式时间强图灵归约$\leq_{sn}T$与多项式时间多一归$\leq_{pm}$有表现在完全集上的本质差别,在本文中我们证明了递归集的$\leq_{sn}T$-归约约度上半格$\langleR_k^1;\leq\rangle$不可分配,籍此得$\langleR_k^1;\leq\rangle$与$\langleR_m^p;\leq\rangle$不同构.这表明此二种归约...
每一个Cappable度都有ω个两两组成最小对的r.e.度与之组成最小对
2007/12/11
本文证明了,对任意Cappable度α=deg($W_i$),b=deg($W_i$)可以一致地找到r.e.度c=deg($W_{f(i,f)}$)使得a∩ c=b∩c=0这里f(x,y)是一个递归函数.进而,本文证明了,对任意Cappable度a=deg(W_e),ω个r.e.度b_i=deg(W_(f(e,t)))可以一致地找到,使得a∩$b_i$=0,i∈ω.这里f(x,y)也是递归函数.在...
Bivariate Recursive Equations on Excess-of-loss Reinsurance
recursive equation $R_1(a b)$ family excess-of-loss reinsurance
2007/12/11
This paper investigates bivariate recursive equations on excess-of-loss reinsurance. For an insurance portfolio, under the assumptions that the individual claim severity distribution has bounded conti...
Regularity for $p$-Harmonic Systems with Gradient Below the Critical Growth
controllable growth p-harmonic systems full regularity
2007/12/11
In this paper, we shall establish that each weak solution of p-harmonic type systems with the gradients below the controllable growth belongs to, H\"older continuity spaces with any H\"older exponent ...