关于随机独立性和回归独立性的几个命题的证明

有3种情形来描述随机变量X和Y之间的关系：（i）X和Y随机独立；（ii）Y回归独立于；（iii）X和Y不相关。主要证明了：1）若X和Y随机独立，则Y回归独立于X；2）若Y回归独立于X，则X和Y不相关；3）若X和Y均为两值随机变量或（X，Y）服从二维正态分布，则三种情形等价。同时得到一个推广：设Y为两值随机变量，X是离散型随机变量，若Y回归独立于X，则X和Y随机独立。     

实验检验累积前景理论

累积前景理论是前景理论的改进版本.前者使用CE范式对美国被试进行研究,得出如下几点结论:(1)人们的风险态度呈四分模式;(2)概率中大时,得时的风险回避比失时的风险寻求更明显;(3)价值函数的指数、权重函数的指数都小于1.采用相同的范式对中国被试进行考察,发现:(1)仍适用;(3)并不总是适用;(2)总是并不适用.     

Chronology of the early Solar System from chondrule-bearing calcium-aluminium-rich inclusions

Chondrules and Ca-Al-rich inclusions (CAIs) are high-temperature components of meteorites that formed during transient heating events in the early Solar System. A major unresolved issue is the relative timing of CAI and chondrule formation. From the presence of chondrule fragments in an igneous CAI, it was concluded that some chondrules formed before CAIs (ref. 5). This conclusion is contrary to the presence of relict CAIs inside chondrules, as well as to the higher abundance of 26Al in CAIs; both observations indicate that CAIs pre-date chondrules by 1-3 million years (Myr). Here we report that relict chondrule material in the Allende meteorite, composed of olivine and low-calcium pyroxene, occurs in the outer portions of two CAIs and is 16O-poor (Delta17O approximately -1 per thousand to -5 per thousand). Spinel and diopside in the CAI cores are 16O-rich (Delta17O up to -20 per thousand), whereas diopside in their outer zones, as well as melilite and anorthite, are 16O-depleted (Delta17O = -8 per thousand to 2 per thousand). Both chondrule-bearing CAIs are 26Al-poor with initial 26Al/27Al ratios of (4.7 +/- 1.4) x 10(-6) and <1.2 x 10(-6). We conclude that these CAIs had chondrule material added to them during a re-melting episode approximately 2 Myr after formation of CAIs with the canonical 26Al/27Al ratio of 5 x 10(-5).     

一类n维环型Lotka-Volterra系统正平衡点全局渐近稳定的充要条件

讨论了一类n维环型Lotka-Volterra系统 x=X(b Ax)存在正平衡点的充分条件及正平衡点全局渐近稳定的充分必要条件,得到结论:i)若-A∈P,系统有唯一的正平衡点;ii)系统的正平衡点全局渐近稳定的充要条件是-A∈P.     

周期力诱导下Lorentz系统的混沌动力学研究

研究了Ｌｏｒｅｎｔｚ系统处于非混沌区域时,周期性外力秀导混沌的动力学,通过数值计算,观察到了列现象：（ｉ）不对称极限环榈周期分叉导致混沌;（ｉｉ）对称极限环同突横截导致混沌;（ｉｉｉ）对称极限环异突横截导致混沌;（ｉｖ）极限环对称破缺导致混沌。     

点传递的2-(p,k,1)区组设计

利用素数次数的传递群的分类 ,给出了点的个数为素数 p的点传递的 2 - ( p,k,1 )设计的分类 :( i) d-维射影空间 ;( ii) n阶射影平面 ;( iii) G AGL ( 1 ,p) ,且点等同于域 GF( p)上的 1维向量空间 V( 1 ,p)的所有向量 (点 )的 2 - ( p,k,1 )设计     

不定长认知诊断计算机化自适应测验终止规则研究

目前大多数认知诊断计算机化自适应测验采用定长终止规则,该文提出3种不定长终止规则。通过实验对比,新方法较已有方法具有如下优势:i）能够较好地保障测验精度;ii）大幅降低了人均测验用题数;iii）人均测验用时也有所下降;iv）项目调用均衡性和题库安全性有所增强。     

Evaporation in the young solar nebula as the origin of 'just-right' melting of chondrules

Chondrules are millimetre-sized, solidified melt spherules formed in the solar nebula by an early widespread heating event of uncertain nature. They were accreted into chondritic asteroids, which formed about 4.56 billion years ago and have not experienced melting or differentiation since that time. Chondrules have diverse chemical compositions, corresponding to liquidus temperatures in the range 1,350-1,800 degrees C. Most chondrules, however, show porphyritic textures (consisting of large crystals in a distinctly finer grained or glassy matrix), indicative of melting within the narrow range 0-50 degrees C below the liquidus. This suggests an unusual heating mechanism for chondrule precursors, which would raise each individual chondrule to just the right temperature (particular to individual bulk composition) in order to form porphyritic textures. Here we report the results of isothermal melting of a chondritic composition at nebular pressures. Our results suggest that evaporation stabilizes porphyritic textures over a wider range of temperatures below the liquidus (about 200 degrees C) than previously believed, thus removing the need for individual chondrule temperature buffering. In addition, we show that evaporation explains many chondrule bulk and mineral compositions that have hitherto been difficult to understand.     

Moran sets and Moran classes

The purpose of this survey is to present Moran sets and Moran classes which generalize the classical selfsimilar sets from the following points: (i) The placements of the basic sets at each step of the constructions can be arbitrary; (ii) the contraction ratios may be different at each step; and (iii) the lower limit of the contraction ratios permits zero. In this discussion we will present geometrical properties and results of dimensions of these sets and classes, and discuss conformai Moran sets and random Moran sets as well.     

莱州湾沿岸的地貌类型

通过野外实地考察，室内卫片、地形图分析，并参照前人研究成果，对莱州湾沿岸地貌类型作了系统分类。这对于进一步研究海水入侵途径及海水入侵与地貌的关系有着极为重要的意义。     

The Dabie-Sulu UHP rocks belt: review and prospect

The new results in the studies of the Dabie-Sulu UHP rocks belt during the past 5 years were summarized and discussed. The discussion included the following key points: ( i ) UHP eclogite has two kinds of country rocks, with one being UHP eclogite facies rocks and the other non-UHP granitic gneiss. ( ii ) The FeTiO₃ in olivine indicated exsolution at depth of 300–400 km. However, the key point is to prove the peridotite in which the FeTlO₃ in olivine was found once had been subducted down that depth. ( iii ) UHP hydrous phase evidenced that fluids had taken part in the UHP metamorphism, while the meter-scale inhomogeneous distribution of O-, C-isotope indicated no fluid activity in the deep subduction environment. ( IV ) No agreement has been arrived on many problems related to the tectonic background of the UHP rocks, such as “whether or not ophiolitic rocks there exist now?”, “when did UHP metamorphism proceed?”, “what is the subdution polarity?”, etc. ( V ) How did the UHP rocks exhume from mantle depth? The future studies will focus on the following three subjects: ( i ) thermal dynamics of the UHP metamorphism, ( ii ) relationship between UHP metamorphism and collision orogeny, as well as their geodynamics, and ( iii ) interactions between crust and mantle, and between continental lithosphere and asthenosphere during the collision orogenic process, as well as their constraints to the evolution of continental lithosphere.     

关于正则环的几点注记

环Ｒ称为左（右）ＳＦ）环，如果所有单左（右）Ｒ－模是平坦的。环Ｒ称为Ｉ－环，如果Ｒ的每个非零左理想含有非零幂等元。在本文中，我们证明了如下主要结果：（一）对于环Ｒ，如下条件是等价的：（１）Ｒ是Ａｒｔｉｎ半单环；（２）Ｒ是左ＳＦ－环县Ｒ／Ｚ（ＲＲ）是Ａｒｔｉｎ单环；（３）Ｒ是左非奇异的，左ＳＦ－环县ＲＲ具有有限秩；（４）Ｒ是正交有限的Ｉ－环。（二）Ｒ是基层不为零的正则左自内射环当县仅当Ｒ是包含非奇异     

Discovery of potassic spilite (or poenite) in Langshan Group of Tanyaokou District, Inner Mongolia, China

It is believed that the albite-potash-feldspar-greenschists in the middle Proterozoic Langshan Group in Tanyackou District are synsedimentary potassic spilite (or poenite) based on the following facts and features: (i) they occur in beds and look blackish (or apple) green and compact; (ii) they bear blasto-glomeroporphyritic and blastocrystalloclastic crystals which consist of (altered) albite laths with hollow skeleton crystal texture in which there are slender dark strips and minor pyroxene, and blasto-amygdaloid filled with pyrite, chlorite, magnetite, etc.; (iii) the results of the petrochemical diagrams show that they are orthometamorphites; (iv) Sm-Nd isotopic age of them is 1 824 Ma (model age (t_DM) is 2 006–2 132 Ma).     

相互作用体系的极化率

本文从分子间相互作用对分子极化率的影响出发,研究了极性气体的第二克尔(Kerr)维里系数、分子间电荷转移络合物的Raman 散射增强和表面增强Raman光谱(SERS)等三个方面的问题.     

Photo-induced reactions of sulfonated aluminum phthalocyanine with peptide

The photosensitized oxidation mechanism of peptide in the presence of the ClAIPcS is studied by UV-Vis spectroscopic method. It is found that the oxidation of peptide is totally quenched in 1.1 × 10-2 mol/L NaN3 solution, and the same reaction cannot proceed in the dark. K3Fe(CN)6 and L-Cys cannot quench the reaction. Therefore, the reaction mechanism is mainly Foote's type Ⅱ. This reaction process can be inferred as follows: ( i ) active oxygen can attack acylamide bond near by carbon atom; ( ii ) carboxyl group departs from peptide; (iii ) l-benzazole cycle is destroyed when reaction is continued; (iv) the peptide is completely damaged.     

关于凸算子的一个结果

本文利用u_0-凹算子的性质来研究u_o—凸算子,给出关于一类u_0—凸算子正解存在的充要条件。     

试述中国历史文献积聚与散佚的一般特征

历史文献在历史研究中起着极其重要的作用。中国古代历史文献数量浩大,其积聚与散佚始终并存,相互作用。其积聚过程有四个特征:一是历代统治阶级的重视;二是史官制度的完善;三是私人藏书的兴盛,四是造纸术与印刷术的推动。历史文献的散佚则有三个特点:一是由于战乱;二是版本之间的优胜劣汰;三是由于保管不善。     

基于二次剩余的最优公平电子商务交换协议

设计了一个可适用于计算机网络如Internet上进行电子货物交易的高效最优公平电子商务协议.考虑到现有的电子支付手段的实际使用情况,协议中使用在线的电子支付系统.新设计的协议具有高效、实用、离线的TTP、真正公平、易于实现等优点.     

关于具有不变函数的自治系统周期解的几个问题

考虑系统ｘ·＝ ｆ（ ｘ） ,ｘ ∈ Ｒｎ＋ （ ｎ ≥３） 。假设（ｉ） 系统为 Ｋ 型;（ｉｉ） 系统具有正梯度的不变函数;（ｉｉｉ） ｄｉｖｆ（ ｘ） ＞ ０ ,ｘ ∈ Ｒｎ＋ 。我们得到相应的定理１ ,２ 。