具（口（t），P（t））-Laplacian项的二阶非自治系统周期解的存在性

本文用临界点理论中的能量最小原理得到了一类具（q（t）,P（t））-Laplacian项的二阶非自治系统存在周期解的充分条件．     

算法的发现（Ⅱ）──对称差（的）分解法及其应用

本文摹仿古典数学的导数、差分概念，在组合优化中建立枚举章法下的一个方法一一对弥差分解法，给出一个求解某些问题的一般模式。用它统一地讨论组合最优化的六个基本图论问题：最短路问题，最小生成树问题，匹配问题，巡迥商问题，中国邮路问题和最大流问题。讨论表明，Ｂｅｌｌｍａｎ最优性原理，交错链，增值路等概念都是对称差分解法在具体问题中的自然结果。还表明，涉及上述大个问题的２０多个著名定理都是定理４的具体推论。     

关于（k,h）-Fibonacci和（k,h）-Lucas数的置换因子循环矩阵的谱范数

给出了置换因子循环矩阵A=Percirc P（F_0^（k,h）,F_1^（k,h）,＊＊＊,F_n-1^（k,h）和B=Percirc P（L_0^（k,h）,L_1^（k,h）,＊＊＊,L_n-1^（k,h）的谱范数的上界与下界,得到了矩阵A与B的Kronecker积与Hadamard积的谱范数的一些界．     

关于K_（1，r）－free图的连通因子

本文证明了每个连通的Ｋ１，ｒ－ｆｒｅｅ图Ｇ，如果有［ｆ，ｇ］－因子Ｆ，则它就有包含Ｆ的［ｆ，ｇ＋ｒ－１］连通因子．     

（mg＋k,mf—k）—图中正交于r个不相交子图的边不变的（g,f）—因子

设m,k和r为正整数,且使l≤k＜m.设G是一个具有顶点集合V(G)和边集合E(G)的图,并设g和f是定义在V(G)上的使对每个x∈V(G)有r≤g(x)≤f(x)的整数值函数.设H1,H2,…,Hr是G的r个顶点不相交的子图且|E(Hi)|=k,1≤i≤r.本文证明了每个(mg+k,mf-k)-图有k个边不相交的(g,f)-因子正交于Hi,1≤i≤r.     

图中具有推广的正交（g，f）-因子分解的子图

设G是一个图，具有顶点集V（G）和边集E（G）．设g和f是定义在V（G）上的整数值函数且对每个x∈y（G）有g（x）≤f（x）．本文证明了如下的结果：若G是一个（mg＋kr，mf-kr）一图，且对每个x∈V（G）有g（x）≥r-1，H和G的任意给定的有kr条边的子图，则G中含有一个子图R，使R有（g，f）-因子分解r-正交于H，其中m，k和r是正整数且k〈m.     

布朗运动在（r，p）－容度意义下的下极限性质

本文证明了布朗运动在（ｒ,ｐ）－容度意义下的一些基本下极限性质．     

布朗运动在（r，p）－容度意义下的下极限性质

本文证明了布朗运动在（ｒ，ｐ）－容度意义下的一些基本下极限性质．     

推广的（2＋1）维浅水波方程的精确解及其混沌行为

利用Riccati方程映射法和变量分离法,得到了推广的（2＋1）维浅水波系统的变量分离解（包括孤波解、周期波解和有理函数解）.根据得到的孤波解,构造出了方程的单孤子和双孤子结构,研究了孤子的混沌行为.     

圆孔内单边（或双边）裂纹平台巴西圆盘应力强度因子的全面标定

虽然径向压缩含内单边裂纹的圆环型试样已有学者进行了分析,但在该试样上增加有益于加载的平台,就形成了新的试样——圆孔内单边裂纹平台巴西圆盘（holed single cracked flattened Brazilian disc,HSCFBD),并对其进行了研究.此外,对圆孔内（双边）裂纹平台巴西圆盘（holed cracked flattened Brazilian disc,HCFBD）做了进一步研究.通过有限元分析,对含有不同内外半径比、无量纲裂纹长度、平台角的HSCFBD和HCFBD的无量纲应力强度因子Y进行了全面标定,给出Y的曲线和拟合公式,拟合公式计算结果与数值标定结果相对误差在±1.39%以内.分析了试件形状参数对应力强度因子的影响:内外半径比越大,平台角越小,无量纲应力强度因子越大.根据应力强度因子的变化规律,推荐了适合测试Ⅰ型断裂韧度的HSCFBD和HCFBD的参数.进行了HCFBD的初步试验,还用国际岩石力学学会建议的人字形切槽巴西圆盘做了对比试验.     

On the performance of some statistics in discriminant analysis based on covariates

In this paper we study the behavior of three statistics suggested for testing the hypothesis, H₀ : μ₁ = μ₂, in the two sample case, in the presence of covariables. Power comparisons are made in the case when δ₂, the difference of the mean vectors in the covariates, is not equal to zero. This extends an earlier paper of the authors [Sanklya Ser. B35 51–78], where δ₂ was assumed to be equal to zero. The results reiterate those obtained in the above cited paper that for low observed values of D_q² one would use t₂ otherwise t₃ would be recommended. The statistic t₁ does not seem to be appropriate for testing this hypothesis.     

Properties of some statistics for AR-ARCH model with application to technical analysis

In this paper, we investigate some popular technical analysis indexes for AR-ARCH model as real stock market. Under the given conditions, we show that the corresponding statistics are asymptotically stationary and the law of large numbers hold for frequencies of the stock prices falling out normal scope of these technical analysis indexes under AR-ARCH, and give the rate of convergence in the case of nonstationary initial values, which give a mathematical rationale for these methods of technical analysis in supervising the security trends.     

Representations of order statistics,based on exponential variables with different scaling parameters

One presents a representation for order statistics, encountered frequently in the theory of queuing systems.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 136, pp. 162–164, 1984.     

On the skewness of order statistics with applications

Order statistics from heterogeneous samples have been extensively studied in the literature. However, most of the work focused on the effect of heterogeneity on the magnitude or dispersion of order statistics. In this paper, we study the skewness of order statistics from heterogeneous samples according to star ordering. The main results extend the corresponding results in Kochar and Xu (J. Appl. Probab. 46:342–352, 2009; J. Appl. Probab. 48:271–284, 2011). Examples and applications are highlighted as well.     

中国工业、环境和居民健康的相关性分析

通过向量自回归模型(VAR模型)和分位数回归模型来定量地分析我国工业发展水平、环境和居民健康之间的动态影响过程.研究表明:工业发展水平对环境污染影响以及环境污染对健康的影响都是持续增长的,从侧面反映了我国工业的发展仍是以环境污染为代价,并通过环境污染对居民健康造成了深远影响,最终导致居民死亡率的增加.     

基于中医健康云的健康养老服务平台设计与应用

中医健康云能将中医的特色化、标准化与大数据、人工智能应用完美融合。本文基于中医健康云技术和老龄群体对养老服务的迫切需求,对中医健康云服务平台和架构设计进行建设性研究,同时分析中医健康云平台的关键技术所在,进而提出中医健康云在健康养老服务中的应用设计。以期利用互联网与大数据,融合传统中医智慧,对老龄群体的健康进行动态跟踪与实时咨询,为老年群体提供及时、有效和针对性的健康养老服务。     

Fracture of plates,the compression of which is accompanied by cracking

The appearance of fracture shapes, analogous to fractures in the shape of a "Chinese lantern" in rectangular plates has been discussed, the compression of which is accompanied by cracking. It has been shown that one or two cracks can appear when rectangular hinged plates are subjected to compression. An arbitrary number of cracks can be formed when a cylindrical shell is subjected to compression.Paper presented at the 9th International Conference on the Mechanics of Composite Materials, Riga, October (1994).Translated from Mekhanika Kompozitnykh Materialov, Vol. 31, No. 3, pp. 326–329, May–June, 1995.     

Unimodality of uniform generalized order statistics,with applications to mean bounds

We prove that uniform generalized order statistics are unimodal for an arbitrary choice of model parameters. The result is applied to establish optimal lower and upper bounds on the expectations of generalized order statistics based on nonnegative samples in the population mean unit of measurement. The bounds are attained by two-point distributions.     

On the rate of convergence to asymptotic independence between order statistics under power normalization with extension to the generalized order statistics

Based on the notion of the associated copula for order statistics and some L ₁-distances, we derive a symmetric nonparametric measure of asymptotic dependence between the order statistics under power normalization. This nonparametric criterion of dependence is extended to the generalized, as well as the dual generalized, order statistics.