共查询到20条相似文献,搜索用时 62 毫秒
1.
设k,r分别是自然数和非零整数,Jk(n)是Jordan函数.文[3]求出了和式∑n≤xJrk(n)的渐近公式.以E(x;k,r)表示该公式中的误差项,本文研究了E(x;k,r)的算术均值和积分均值 相似文献
2.
有限局部环Z/p^kZ上辛几何中计数定理 总被引:1,自引:0,他引:1
本文计算了N(m,s;2v)与n(m,s,t,r1,…,rt;2v).并以推论形式得到Sp2v(Z/pkZ)的阶.N(m,s;2v)表示环Z/pkZ上2v维向量空间V2v(Z/pkZ)上的指数为s的m维子空间的个数;n(m,s,t,r1,…,r1,2v)是秩为m,不变因子为(r,s,t,r1,rt)的m×2v矩阵的个数 相似文献
3.
薛留根 《数理统计与应用概率》1994,9(3):54-60
设(Xn)是R^1中的平稳,强混合序列,具有公共的密度f(x),则可定义f(x)及其导函数f^(r)(x)的核估计与最近邻估计f^(r)n(x)=(nh^r+1n(x))^-1n∑i=1K^(r)(Xi-X/hn(x)),fn(x)=(nan(x))^-1n∑i=1K(Xi-x/an(x))其中核函数K(X)为取定的概率密度函数,且具有r(r≥0)阶导数,窗宽hn(x)=hn(x;X1,...,X 相似文献
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祁永成 《数学年刊A辑(中文版)》1994,(3)
投{Xn,n≥1}i.i.d.,Xn,1≤Xn,2≤…≤Xn,n是X1,X2,…,Xn的次序统计量.对非负整数k,r,k+r≤n,令.本文研究当k=kn,r=rn满足min(k,r)→∞,max(k,r)→0时截断和Sn(k,r)的弱大数律.设βn>0,Cn∈R,文中给出了依概率收敛的充要条件. 相似文献
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关于模N的原根及其整除性 总被引:2,自引:1,他引:1
设整数n≥3存在原根,对给定的正整数1<k<n且(k,n)=1,本文证明了如下的结论:当n充分大时一定存在模n的二个原根r及s使得rs≡1(modn)且k|r+s。 相似文献
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复数域上线性系统x=A(t)x,当A(t)=(aij(t))n×n具有(n,N,r) 差异性质且rn时,解的特征数j有估计λj-limt→∞1t∫tt0Reaj(τ)dτn-1r+1-nlimt→∞1t∫tt0A(τ)dτ,j=1,2,…,n,其中A(t)=max{|aij(t)|:i,j=1,2,…,n,i≠j.} 相似文献
10.
武同锁 《数学年刊A辑(中文版)》1995,(6)
本文讨论U1-sr条件,这一条件有益于计算环的K1群.得到主要结果为;(1)完全确定满足U1-sr条件的半局部环:(2)给出使EndR(M)满足U1-sr条件的一个刻划;(3)引进比U1-sr更强的一个条件SU1-sr,利用上述结果证明了:若R∈SU1-sr,则Mn(R)∈U1-sr;(4)证明了对于满足SU1-sr的环R,K1R=GL1(R)ab. 相似文献
11.
A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL 总被引:1,自引:0,他引:1
The El Nio/La Nia and the Southern Oscillation(ENSO)is an interan- nual phenomenon involved in the tropical Pacific ocean-atmosphere interactions.In this article,the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models.And on the basis of a class of oscillator of ENSO models,using the method of homotopic mapping,the approximation of solution of corresponding problem is stud- ied.It is proved from the results that homotopic method can be used for analyzing the SST anomaly... 相似文献
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本文研究了球面稳定同伦中同伦元素β2γs的非平凡性.利用May谱序列和Adams谱序列证明:同伦元素β2γs在一定条件下是阶为p的非平凡元素,其中p≥7是奇素数. 相似文献
13.
R. W. Kieboom 《Applied Categorical Structures》1997,5(2):131-142
It is well known that the concept of monomorphism in a category can be defined using an appropriate pullback diagram. In the homotopy category of TOP pullbacks do not generally exist. This motivated Michael Mather to introduce another notion of homotopy pullback which does exist. The aim of this paper is to investigate the modified notion of homotopy monomorphism obtained by applying the pullback characterization using Mather's homotopy pullback. The main result of Section 1 shows that these modified homotopy monomorphisms are exactly those homotopy monomorphisms (in the usual sense) which are homotopy pullback stable, hence the terminology “stable” homotopy monomorphism. We also link these stable homotopy monomorphisms to monomorphisms and products in the track homotopy category over a fixed space. In Section 2 we answer the question: when is a (weak) fibration also a stable homotopy monomorphism? In the final section it is shown that the class of (weak) fibrations with this additional property coincides with the class of “double” (weak) fibrations. The double (weak) covering homotopy property being introduced here is a stronger version of the (W) CHP in which the final maps of the homotopies involved play the same role as the initial maps. 相似文献
14.
LIN Jinkun 《数学年刊B辑(英文版)》1999,20(1):93-102
1.IntroductionLetAbethemodSteenrodalgebraandSthespherespectrumlocalizedatanoddprime.TodeterminethestablehomotopygroupsofspheresisoneofthecentralprobleminhomotopytheoryOneofthemaintoolstoreachitistheAdamsspectralsequence(ASS)wherethe-termisthecohomolo... 相似文献
15.
By a method improving that of [1], the authors prove the existence of a non-trivial product of filtration, s + 6, in the stable homotopy groups of sphere, πt-6S, which is represented up to non-zero scalar by β^-s+2ho(hmbn-1 -hnbm-1) ∈ ExtA^s+6,t+s(Zp, Zp) in the Adams spectral sequence, where p ≥ 7, n ≥ m + 2 ≥ 5, q = 2(p- 1), 0 ≤ s 〈 p - 2, t= (s + 2 + (s + 2)p + p^m + p^n)q. The advantage of this method is to extend the range of s without much complicated argument as in [1]. 相似文献
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当p≥7,n≥3时,本文找到一个永久循环 ,它在Adams谱序列中收敛到 的一个非零元素,由Adams分解得到 ,使得 ,进而得到 并且它具有第六滤子. 相似文献
17.
大范围求解非线性方程组的指数同伦法 总被引:1,自引:0,他引:1
为了解决关于奇异的非线性方程组求根问题,提出了一种由同伦算法推出大范围收敛的连续型方法-指数同伦法,构造了一类指数同伦方程,克服了Jacobi矩阵的奇异,分析了指数同伦方 相似文献
18.
Yildiray Ozan 《Geometriae Dedicata》2004,108(1):131-140
Let X
0 be a topological component of a nonsingular real algebraic variety and i:X → X
C
is a nonsingular projective complexification of X. In this paper, we will study the homomorphism on homotopy groups induced by the inclusion map i:X
0 → X
C
and obtain several results using rational homotopy theory and other standard tools of homotopy theory. 相似文献
19.
显示了在设置C上的单纯广群的准层的范畴是个封闭模型范畴.证明了在一个单纯广群的准层G上的单纯函子X是局部弱等价于同伦纤维. 相似文献
20.
We give a 2-track-theoretical characterisation of the homotopy pushout of a 3-corner by recognising the mapping 2-simplex as an initial object in a coherent homotopy category of Hausdorff spaces under a 3-corner with morphisms expressed in terms of the 1-morphisms and 2-morphisms of a homotopy 2-groupoid. 相似文献