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1.
本文将一类修正的Kdv方程ut+auux + au2ux +μux3+β(1+u2)(1+ux2)(1+ut2)(1+ux32)(ux3+σux  相似文献   

2.
本文证明了d2k2k =d2k ≥b2k,其中d2k2k , b2k分别表示A(BlMp)在lNq下的Kolmogorov,线性,Bernstein 2k-宽度,d2k 表示A(BlN相似文献   

3.
本文首次提出用激光诱导敏化荧光光谱法测量铀原子5f36d7s7p-7M7,5f6d7s7p-?L6,5f37p-5K6,5f26d27s2-5L7,5f4d7s-7L6,(17070cm-1)-5L6,5f26d27s2-5K6,5f36d7s7p-7L5,5f36d7s7p-7K5,5f26d27s2-5I5 10个能级向基态跃迁的自发发射分支比;采用空心阴极发射光谱法测量了它们的相对振子强度;测量并计算了这些能级的寿命及其基态跃迁的自发发射跃迁几率,获得了较高的测量准确度和分辨率。  相似文献   

4.
设Euclid空间n+1元点集A,B及其度量和C所构成的单形的体积、外接球半径分别为V,V2,V和R,R2,R.本文给出不等式V2/n≥V12/n+V22/n,R2≤R12+R22一种简单的证法.该  相似文献   

5.
部分和乘积的几乎处处中心极限定理   总被引:1,自引:0,他引:1       下载免费PDF全文
设Xn, n≥1是独立同分布正的随机变量序列, E(X1)=u >0, Var(X1)=σ2, E|X1|3<∞, 记Sn==∑Nk=1Xk, 变异系数γ=σ/u.g是满足一定条件的无界可测函数, 证明了 limN→∞1/logN∑Nn=11/n g((∏nk=1Sk/n!un )1/γ√n )=∫0g(x)dF(x),a.s., 其中 F(•) 是随机变量e√2ξ 的分布函数, ξ 是服从标准正态分布的随机变量.  相似文献   

6.
本文利用Davenport-Heilbronn 方法证明了对于自然数xj, 表达式
λ1x132x233x334x445x546x64
的整数部分在给定条件下可表示无穷多素数, 深化了Brüdern 等人的广义Riemann 假设下等幂次的结果.  相似文献   

7.
作者研究了相对宽度Kn(W2α(T), MW2β(T), L2(T)), T=[0,2π], 确定了使等式Kn(W2α(T), MW2β(T), L2(T))=dn(W2α(T), L2(T))成立的最小M值, 得到了相对宽度Kn(W2α(T), W2α(T), Lq(T))的渐近阶, 其中α≥β>0, 1≤q≤∞, Kn(., ., Lq(T)) 和 dn(., Lq(T))分别表示Kolmogorov意义下Lq(T)尺度下的相对宽度和宽度, MWpα(T), 1≤ p≤∞, 表示有如下卷积表达式的2π 周期函数类, f(t)=c+(Bα* g)(t),c∈ R, Bα*g 表示 Bα 和g 的卷积, g∈Lp(T) 满足∫0g(τ)dτ=0 和||g||p≤M, Bα∈ L1(T) 有如下Fourier展开: Bα(t)=1/2π∑' k∈ Z(ik)eikt,∑'表示去掉 k=0的项.  相似文献   

8.
我们讨论了如下形式的向量值连分式这里bn=(bn1,bn2,…,bnd)满足Samelson逆,而且an,bn1,bn2,…,bnd均为正.给出了形如(#)的向量值连分式收敛的充分和必要条件,同时给出了收敛时的截断误差估计.  相似文献   

9.
设{Xn, n ≥1}是独立同分布随机变量序列, Un 是以对称函数(x, y) 为核函数的U -统计量. 记Un =2/n(n-1)∑1≤i h(Xi, Xj), h1(x) =Eh(x, X2). 在一定条件下, 建立了∑n=2(logn)δ-1EUn2I {I U n |≥n 1/2√lognε}及∑n=3(loglognε)δ-1/logn EUn2 I {|U n|≥n1/2√log lognε} 的精确收敛速度.  相似文献   

10.
黄沙 《中国科学A辑》1996,39(3):227-236
讨论Clifford分析中的双正则函数,研究它的Coxo-Plemelj公式和一个非线性边值问题:A(t1,t2++(t1,t2)+B(t1,t2+-(t1,t2)+C(t1,t2-+(t1,t2)+D(t1,t2--(t1,t2)=g(t1,t2)f[t1,t2++(t1,t2),φ+-(t1,t2),φ-+(t1,t2),φ--(t1,t2)].利用积分方程方法和Schauder不动点定理证明了问题解的存在性,并给出了解的积分表示式以及线性情况下解的存在唯一性.  相似文献   

11.
两类带有确定潜伏期的SEIS传染病模型的分析   总被引:2,自引:0,他引:2  
通过研究两类带有确定潜伏期的SEIS传染病模型,发现对种群的常数输入和指数输入会使疾病的传播过程产生本质的差异.对于带有常数输入的情形,找到了地方病平衡点存在及局部渐近稳定的阈值,证明了地方病平衡点存在时一定局部渐近稳定,并且疾病一致持续存在.对于带有指数输入的情形,发现地方病平衡点当潜伏期充分小时是局部渐近稳定的,当潜伏期充分大时是不稳定的.  相似文献   

12.
整环R称为ω-凝聚整环,是指R的每个有限型理想是有限表现型的.本文证明了ω-凝聚整环是v-凝聚整环,且若(RDTF,M)是Milnor方图,则在Ⅰ型情形,R是ω-凝聚整环当且仅当D和T都是ω-整环,且T_M是赋值环;对于Ⅱ-型情形,R是ω-凝聚整环当且仅当D是域,[F:D]<∞,M是R的有限型理想,T是ω-凝聚整环,且R_M是凝聚整环.  相似文献   

13.
A set-covering problem is called regular if a cover always remains a cover when any column in it is replaced by an earlier column. From the input of the problem - the coefficient matrix of the set-covering inequalities - it is possible to check in polynomial time whether the problem is regular or can be made regular by permuting the columns. If it is, then all the minimal covers are generated in polynomial time, and one of them is an optimal solution. The algorithm also yields an explicit bound for the number of minimal covers. These results can be used to check in polynomial time whether a given set-covering problem is equivalent to some knapsack problem without additional variables, or equivalently to recognize positive threshold functions in polynomial time. However, the problem of recognizing when an arbitrary Boolean function is threshold is NP-complete. It is also shown that the list of maximal non-covers is essentially the most compact input possible, even if it is known in advance that the problem is regular.  相似文献   

14.
A kind of chaotic synchronization method is presented in the paper. In the transmitter, part signals are transformed by wavelet and the detail information is removed. In the receiver, the component with low frequency is reconstructed and discrete feedback is used, we show that synchronization of two identical structure chaotic systems is attained. The effect of feedback on chaotic synchronization is discussed. Using the synchronous method, the transmitting signal is transported in compressible way, system resource is saved, the component with high frequency is filtered and the effect of disturbance on synchronization is reduced. The synchronization method is illustrated by numerical simulation experiment.  相似文献   

15.
This paper is concerned with two kinds of multiple outlier problems in multivariate regression. One is a multiple location-slippage problem and the other is a multiple scale-inflation problem. A multi-decision rule is proposed. Its optimality is shown for the first problem in a class of left orthogonally invariant distributions and is also shown for the second problem in a class of elliptically contoured distributions. Thus the decision rule is robust against departures from normality. Further the null robustness of the decision statistic which the rule is based on is pointed out in each problem.  相似文献   

16.
孙向荣  贺伟 《数学进展》2007,36(3):354-362
空间式locale范畴SLoc是locale范畴Loc的余反射满子范畴,但对locale乘积不封闭.本文引入弱空间式locale,证明弱空间式locale范畴WSloc为范畴Loc的余反射满子范畴,且对locale秉积封闭.还证明了一个locale A是空间式的当且仅当它的枝映射localeN(A)是弱空间式的;一个空问式locale的每一个子locale都是空间式的当且仅当它的每一个子locale是弱空间式的.最后,证明了弱空间式性在定向函子下保持不变.  相似文献   

17.
POINTEDREPRESENTATIONSOFINFINITEDIMENSIONALLIEALGEBRAS¥XUXIANGAbstract:AcontravariedbilinearpairingXoneveryM(ρ)×M(ρθ)isdeterm...  相似文献   

18.
Banach空间有界线性算子强连续双半群   总被引:3,自引:0,他引:3  
本文在Banach空间上研究单参数有界线性算子族-强连续双半群。  相似文献   

19.
A general framework is presented in which the relation of the set of noninferior points and the set of compromise solutions is studied. It is shown that the set of compromise solutions is dense in the set of noninferior points and that each compromise solution is properly noninferior. Also, under convexity of the criteria space, a characterization of the properly noninferior points in terms of the compromise solutions is presented. In this characterization, the compromise solutions depend continuously on the weights. Use of the maximum norm is studied also. It is shown that a subset of these max-norm solutions, obtained by taking certain limits of compromise solutions, is dense and contained in the closure of the set of noninferior points.  相似文献   

20.
递推阻尼最小二乘法的收敛性与稳定性   总被引:6,自引:0,他引:6  
递推最小二乘法是参数辨识中最常用的方法,但容易产生参数爆发现象,因此对一种更稳定的辨识方法--递推阻尼最小二乘法进行了收敛特性的分析,在使用算法之前先旭一化测量向量,结果表明,参数化距离收敛于一个零均值随机变量并且在持续激励条件下,适应增益矩阵的条件数有界。参数化距离的方差有 。  相似文献   

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