Forcing with Proper Classes

ＦｏｒｃｉｎｇｗｉｔｈＰｒｏｐｅｒＣｌａｓｓｅｓＬｉＮａ（ＤｅｐａｒｔｍｅｎｔｏｆＰｏｌｉｔｉｃｓ，ＨｅｎａｎＵｎｉｖｅｒｓｄｙ，Ｋａｉｆｅｎｇ，４７５００１）Ａｂｓｔｒａｃｔ：Ｔｈｉｓｐａｐｅｒ，ｕｓｉｎｇｔｈｅｍｏｄｅｌＲΔ（Ｂ）－ａｇｅｎｅｒａ...     

CONVERGENCE OF SOLUTIONS FOR A CLASS OF DIFFERENCE EQUATIONS WITH VARIABLE DELAY

Ｃｏｎｓｉｄｅｒｔｈｅｄｉｆｅｒｅｎｃｅｅｑｕａｔｉｏｎｗｉｔｈａｖａｒｉａｂｌｅｄｅｌａｙｘｎ－ｘｎ－１＝Ｆ（ｘｎ，ｘｒ（ｎ），ｎ＝ｎ０，ｎ０＋１，…（１）ｗｈｅｒｅ（Ｈ１）：Ｆ∈Ｃ（Ｒ×Ｒ，Ｒ），Ｆ（ｕ，ｖ）ｉｓｄｅｃｒｅａｓｉｎｇｗｉｔｈｒｅｓ...     

A COMPLETE SOLUTION OF HOSOYA'S MYSTERY

ＺＨＡＮＧＦＵＪＩ（张福基）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉａｍｅｎＵｎｉｖｅｒｓｉｔｙ，Ｘｉａｍｅｎ３６１００５，Ｃｈｉｎａ）ＣＨＥＮＲＯＮＧＳＩ（陈荣斯）（ＣｏｌｌｅｇｅｏｆＦｉｎａｎｃｅａｎｄＥｃｏｎｏｍｉｃｓ，Ｆｕｚｈｏ...     

Convergency of Periodogram and Frequency Estimation on Random Filed(Ⅱ)

ＣｏｎｖｅｒｇｅｎｃｙｏｆＰｅｒｉｏｄｏｇｒａｍａｎｄＦｒｅｑｕｅｎｃｙＥｓｔｉｍａｔｉｏｎｏｎＲａｎｄｏｍＦｉｅｌｄ（Ⅱ）ＨｅＳｈｕｙｕａｎ（何书元）（ＰｅｋｉｎｇＵｎｉυｅｒｓｉｔｙ，，Ｂｅｉｊｉｎｇ，１００８７１，ＰＲＣ）Ｃｏｍｍｕｎｉｃａｔｅ...     

On the Construction of Indecomposable Definite Hermitian Forms(Ⅲ)

ＯｎｔｈｅＣｏｎｓｔｒｕｃｔｉｏｎｏｆＩｎｄｅｃｏｍｐｏｓａｂｌｅＤｅｆｉｎｉｔｅＨｅｒｍｉｔｉａｎＦｏｒｍｓ（Ⅲ）ＺｈｕＦｕｚｕ（朱福祖）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＥａｓｔＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎ...     

Fekete┐SzegoProblemforStronglyBazilevicFunctions

Ｆｅｋｅｔｅ┐ＳｚｅｇｏＰｒｏｂｌｅｍｆｏｒＳｔｒｏｎｇｌｙＢａｚｉｌｅｖｉｃＦｕｎｃｔｉｏｎｓＧａｏＣｈｕｎｙｉ（高纯一）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＣｈａｎｇｓｈａＣｏｍｍｕｎｉｃａｔｉｏｎｓＩｎｓｔｉｔｕｔｅ，Ｃｈａｎｇｓ...     

BIFURCATIONS OF LIMIT CYCLES FROM A HETEROCLINIC CYCLE OF HAMILTONIAN SYSTEMS

§１．ＮｏｒｍａｌＦｏｒｍｓｏｆＤｉｓｐｌａｃｅｍｅｎｔＦｕｎｃｔｉｏｎｓＣｏｎｓｉｄｅｒａｐｌａｎａｒＣ∞ｓｙｓｔｅｍｏｆｔｈｅｆｏｒｍｘ＝ｆ（ｘ）＋λｆ０（ｘ，δ，λ）≡ｆ（ｘ，δ，λ），（１．１）ｗｈｅｒｅｘ∈Ｒ２，λ∈Ｒ，δ∈Ｒｍ，ａｎｄｔｒ...     

Convergency of Periodogram and Frequency Estimation on Random Field(Ⅰ)

ＣｏｎｖｅｒｇｅｎｃｙｏｆＰｅｒｉｏｄｏｇｒａｍａｎｄＦｒｅｑｕｅｎｃｙＥｓｔｉｍａｔｉｏｎｏｎＲａｎｄｏｍＦｉｅｌｄ（Ⅰ）ＨｅＳｈｕｙｕａｎ（何书元）（ＰｅｋｉｎｇＵｎｉυｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ，１００８７１，Ｐ．Ｒ．Ｃ．）Ｃｏｍｍｕｎｉｃａ...     

Floer Cohomology of Lagrangian Intersection:I~*(T~n, RP~n: CP~n)

）（陈柏辉，李安民）ＦｌｏｅｒＣｏｈｏｍｏｌｏｇｙｏｆＬａｇｒａｎｇｉａｎＩｎｔｅｒｓｅｃｔｉｏｎ：Ｉ~＊（Ｔ~ｎ，ＲＰ~ｎ：ＣＰ~ｎ）ＦｌｏｅｒＣｏｈｏｍｏｌｏｇｙｏｆＬａｇｒａｎｇｉａｎＩｎｔｅｒｓｅｃｔｉｏｎ：Ｉ~＊（Ｔ~ｎ，ＲＰ~ｎ：ＣＰ~ｎ）￥）Ｃ...     

Partial Orderings in the Category of Matrices over the Quaternion Field

ＰａｒｔｉａｌＯｒｄｅｒｉｎｇｓｉｎｔｈｅＣａｔｅｇｏｒｙｏｆＭａｔｒｉｃｅｓｏｖｅｒｔｈｅＱｕａｔｅｒｎｉｏｎＦｉｅｌｄＺｈｕａｎｇＷａｊｉｎ（庄瓦金）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＺｈａｎｇＮｏｒｍａｌＣｏｌｌｅｇｅ，Ｆｕｊｉ...     

Factorizations of fitting classes

In this paper, we prove that there exists a infinite set of non-trivial local Fitting classes every element in which is decomposable as a non-trivial product of Fitting classes such that every factor in the product is neither local nor a formation. In particular, this gives a positive answer to Problem 11.25 a) in The Kourovka Notebook.     

Nevanlinna functions as quotients

Let be a holomorphic function in the unit ball. Then is a Nevanlinna function if and only if there exist Smirnov functions , such that and has no zeros in the ball.

     

Axiomatizability and completeness of some classes of partially ordered polygons

We study partially ordered monoids over which a class of free (over sets and over posets), projective, and (strongly, weakly) flat partially ordered polygons is axiomatizable, complete, or model complete. Similar issues for polygons were dealt with in papers by V. Gould and A. Stepanova. Supported by the Council for Grants (under RF President) and State Aid of Leading Scientific Schools (grant NSh-2810.2008.1). Translated from Algebra i Logika, Vol. 48, No. 1, pp. 90–121, January–February, 2009.     

Coloring edges of embedded graphs

In this paper, we prove that any graph G with maximum degree , which is embeddable in a surface Σ of characteristic χ(Σ) ≤ 1 and satisfies , is class one. © 2000 John Wiley & Sons, Inc. J Graph Theory 35: 197–205, 2000     

Finite Groups with Conjugacy Classes Number One Greater than Its Same Order Classes Number

ABSTRACT

Let k(G) be the number of conjugacy classes of finite groups G and π _e (G) be the set of the orders of elements in G. Then there exists a non-negative integer k such that k(G) = |π _e (G)| + k. We call such groups to be co(k) groups. This article classifies all finite co(1) groups. They are isomorphic to one of the following groups: A ₅, L ₂(7), S ₅, Z ₃, Z ₄, S ₄, A ₄, D ₁₀, Hol(Z ₅), or Z ₃ ? Z ₄.     

复Stiefel流形的商空间

本文研究了复Stiefel流形关于群S1的商空间的伦型,并且计算了该空间的上同调群.通过纤维化,为这些商空间的上同调找到一组典则的生成元.再利用推广的吴公式,讨论了这些生成元在Sqi下的行为.最后,作为应用,本文对S.Gitler和D.Handel的结果作了部分改进.     

阶层流动变化下的马尔科夫预测模型

针对总体内不同阶层随机流动的变化过程,分析了阶层结构的随机性质,利用马尔科夫方法建立了多次流动下阶层结构变化趋势的预测模型,并展示了模型应用的良好效果。研究结果为劳动力市场人才流动、城乡二元人口流动、社会经济阶层流动等问题的研究,提供了一种有效的思路和方法。     

一些循环代数函数域的不分明理想类

本文研究了一些l次循环函数域的理想类群的不分明理想类的结构问题.利用函数域的素理想分解理论和理想的一阶上同调理论,得到了这几类循环函数域的理想类群的l-秩的下界.进一步,我们还得了一些不分明理想类中不含不分明理想的域的充分条件.     

一种随机聚类法

本文给出了一种新的随机聚类法 ,并应用这种方法分析了银行帐号 ,对于银行系统选择帐号校验码的算法这类问题有参考价值 .     

超幂零根环类的一个刻划

给出了超幂零根环类是特别根环类(无幂零元根环类、无零因子根环类)的判定条件；阐述超幂零根环类的一个等价定义，并得出了几个相应的结论。