一类二元容错码的平均汉明距离

利用有限域上特征为2的正交空间中的全奇异子空间构作了一类容错码,并利用特征为2的正交空间中的计数公式给出了这类容错码的平均汉明距离.     

基于有限域上仿射辛空间的Pooling设计的构造

主要利用有限域上仿射辛空间构造了Pooling设计,运用有限域上的仿射辛空间的计数定理,研究其析取性质,计算各个参数及实验效率,并将本设计的实验效率与已有设计的实验效率进行比较,给出本设计优于已有设计的条件.     

具有常数行重的一类d-析取矩阵的界

首先介绍了辛空间上子空间的一些包含性质,利用这些性质构作了一类具有常数行重的dλ-析取矩阵,然后给出了这类矩阵相关参数的界.     

有限辛空间上一类群测模型的构作和性质

利用有限域上辛空间的全迷向子空间的包含关系构造了一类非适应性分组测试理论的群测模型,并计算了这些模型的相关参数.     

ZFD_k码的构作及应用

首先利用有限辛空间上全迷向子空间的性质构作了ZFD_k码,并计算了ZFD_k码的汉明距离和译码率.最后给出了ZFD_k码在光纤传感器方面的一个应用     

伪辛空间的生成及其表现形式

通过对辛空间的深入分析和研究,从空间中的度量与向量的迷向性问题入手并展开较为详细的讨论,定义"伪辛"的概念,阐述"辛"概念的演变、扩充与伪辛空间生成的事实,进而揭示伪辛空间的本质属性及其与辛空间的内在联系与区别.论述过程同时给出了伪辛空间关于辛空间的内蕴和外延表示式.     

可容错群测模型(d,r;z]-析取矩阵的新构作北大核心

(d,r;z]-析取矩阵是群测理论一个可容错、可纠错的数学模型,它应用于许多领域.利用辛空间上一类子空间的特殊组合给出了(d,r;z]-析取矩阵的一个新构作,并利用子空间的计数定理计算了它的参数.     

利用辛空间上子空间构作(d,r;z]-disjunct矩阵

一个(d,r;z]-disjunct矩阵在许多领域有着极为广泛的应用.利用辛空间上m维(m,s)型子空间的性质构作了(d,r;z]-disjunct矩阵,并利用子空间的计数定理计算了它的参数.     

可容错群测模型(d,r;z]-析取矩阵的新构作

(d,r;z]-析取矩阵是群测理论一个可容错、可纠错的数学模型,它应用于许多领域.利用辛空间上一类子空间的特殊组合给出了(d,r;z]-析取矩阵的一个新构作,并利用子空间的计数定理计算了它的参数.     

利用辛空间上子空间构作(ω,r,d)-CFF(N,T)

利用辛空间上m维(m,s)型子空间的性质构作了(w,r,d)-CFF(N,T)系统,并利用子空间的计数定理计算了它的参数.一个(ω,r,d)-CFF(N,T)系统在许多领域有着极为广泛的应用.     

Study of the blow-up of solutions of systems of equations of hydrodynamic type

Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from...     

Characterization of types of asymptotic discernibility of families of hypotheses

We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987.     

Distribution of types of symmetry of tensors of high degree

The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986.     

Axiomatizability of reducts of algebras of relations

In this paper, we prove that any subreduct of the class of representable relation algebras whose similarity type includes intersection, relation composition and converse is a non-finitely axiomatizable quasivariety and that its equational theory is not finitely based. We show the same result for subreducts of the class of representable cylindric algebras of dimension at least three whose similarity types include intersection and cylindrifications. A similar result is proved for subreducts of the class of representable sequential algebras. Received October 7, 1998; accepted in final form September 10, 1999.     

Lengths of periods of continued fractions of square roots of integers

Empirical study of the period’s length T of the continued fractions of $\sqrt{Q}$ (for growing integers Q) shows several strange asymptotical results, for instance, $T\leq C\sqrt{Q}\ln{Q}$ . These results show important differences between the statistics of the elements of the continued fractions of random real numbers and of square roots of random integers.