离散非线性Schr(o)dinger方程的离散呼吸子解的存在性

讨论了一维格点系统中参数驱动和有阻尼的离散非线性Schrdinger方程的离散呼吸子的存在性.我们使用同宿轨的方法证明了当阻尼δ、驱动外力h和耦合常数V满足|h|＞|δ|＞0,V＞0,ω τ＞0时,存在频率为ω=Ω/2的离散呼吸子解,其中τ=√h2-δ2＞0.     

四阶抛物型方程的样条子域精细积分配置法

对于四阶抛物模型方程周期初值问题,可用有限差分方法进行求解.通常的有限差分方法在使用过程中受到精度和稳定性的限制.本文首先将四阶抛物型方程转化为一个二阶的偏微分方程组,然后对时间项采用子域精细积分的方法、空间项采用三次样条基本公式进行离散,得到了一个含参数α＞0(α＜h)的无条件稳定的差分格式,所得到的差分方程为五点、两层隐格式,它的局部截断误差为O(τ2 ατ2 h4).τ,h分别为时间及空间步长,最后的数值实验表明,本文的方法具有很好的数值精度和良好的实用性.     

关于非单位步长的紧优双环网络G(N;r,s)

双环网络是计算机互连网络或通讯系统的一类重要拓扑结构,其图论模型是指一个有向图G(N;r,s):每个顶点记为0,1,2,…,N-1,并从每个顶点I发出两条有向边I→I r(mod N)和I→I s(mod N),其中r和s是自然数,且1≤r≠s＜N.若G(N;r,s)存在k紧优双环网络,G(N;1,s)存在k1紧优双环网络,且满足k1＞k,称G(N;r,s)为非单位步长双环网络.在L形瓦理论的基础上,给出一个求非单位步长双环网络的方法,求得两个关于模型G(N;r,s)的紧优双环网络无限族;结合中国余数定理和数论中的素数理论,给出一个求非单位步长双环网络无限族(k1-k≥1且k＞0)的方法;作为具体应用,求得两个非单位步长双环网络无限族(k1-k≥2且k＞0).     

带双势的非线性Schr(o)dinger方程解的坍塌性质

研究一类带双势的非线性Schr(o)dinger方程.通过对势函数V(x)和K(x)作适当假设,运用能量方法和一些先验估计式,得到了该Schr(o)dinger方程初值问题的解在有限时间内坍塌的充分条件为E(φ0)＜0或E(φ0)=0,h2Im∫RNxφ0 φ0dx＞0或E(φ0)＞0,hIm∫RNxφ0 φ0dx≥[2E(φ0)∫RN|x|2|φ0|2dx]1/2.     

带双势的非线性Schrsdinger方程解的坍塌性质

研究一类带双势的非线性Schr(o)dinger方程.通过对势函数V(x)和K(x)作适当假设,运用能量方法和一些先验估计式,得到了该Schr(o)dinger方程初值问题的解在有限时间内坍塌的充分条件为E(φ0)＜0或E(φ0)=0,h2Im∫RNxφ0 φ0dx＞0或E(φ0)＞0,hIm∫RNxφ0 φ0dx≥[2E(φ0)∫RN|x|2|φ0|2dx]1/2.     

解双曲型方程的分组并行格式

构造了求解双曲型方程ut aux=0的初边值问题的一组含双参数分组并行算法(GE、GEL 、GER),格式的局部截断误差阶一般为o(τ h),当β=1、1-4/r2＜α＜1时,稳定性条件为r＞0;当β=1、1-4/r2=α＜1时,稳定性条件为r＞0且r≠1.特别当α=1/2、β=r-1/2r时,GE、GEL 、GER格式的局部截断误差阶为o(τ2 h2),稳定性条件为0＜r≤4/3.实算表明,格式的稳定性性能和理论结果是一致的.     

全纯函数和整函数的正规族

在全纯函数及整函数上讨论了{f(z)}和{f(f(z))}的正规族之间的关系,得到关于全纯函数及整函数族的一些正规定则:设F={f(z)}是整函数族,记p(z)=f[f(z)],若在单位圆盘Δ内,f(z)≠0,当p'(z)=a≠0时,|p(z)|=|f[f(z)]|≥h＞0;或Vf(z)∈F,|f(0)|＜1,当p'(z)=a≠0时,|p(z)|≥h1＞0;且当p(z)=0时,|p'(z)|≤h2(＞0),则F在Δ上正规.最后给出了其应用.     

Sturm-Liouville型一维P-Laplacian方程奇异边值问题的正解存在性

本文讨论如下P-Laplacian方程{-(h(t)∣u'(t)∣p-2u'(t))' q(t)∣u(t)∣p-2u(t)=f(t,u(t)),t∈(0,1)u(0)=u(1)=0奇异边值问题的正解存在性,其中p＞1,h(t)∈C1[0,1],q(t)∈C[0,1],h(t)＞0,q(t)≥0,函数f(t,x)可能在t=0,1时都有奇性.     

车灯线光源的优化模型

设线光源的长度为2h,旋转抛物面的反射为全反射,反射光按扩展光源处理,即对可以反射到测试屏上B或C点的线光源区域按一定步长划分为有限个小点光源,再按点光源的反射照度公式计算B或C点的照度E i=(△I)/(r 2 i)cosα i(其中△I为点光源的功率,r i为投射距离,α i为投射光线对被照面法线的倾斜角),然后求和可得该线光源对B或C点的光照度E=∑niE i.根据题意可建立如下数学模型min h s.t. E c(h)=∑ni=1(△I)/(r 2 c i)cos α i E 0(h 1.56mm) E B(h)=∑ni=1(△I)/(r 2 b i)cos β i 2E 0(h 0.78mm)其中E 0为某一额定光照度 ,I =kh ( k 为比例常数), r b i,r c i ,α i,β i 均为h的函数.在假设E B(h)=2E c(h) 的条件下,用搜索法算出了模型的最优解2h min=3.84mm .最后对h min应用Matlab软件得出了测试屏反射光的亮区图.     

金属露天矿最终境界优化算法改进

锥体之间的重合问题是锥体排除法在露天矿最终境界优化中的一个固有缺陷.鉴于此,本文对已有锥体排除算法进行改进,在垂直方向缩小锥体扫描步长,将步长分别设置为模块高度的1倍,1/2和1/4,并根据矿体的实际赋存情况选择对应的扫描步长或者多步长组合进行分等级优化,以此提高优化精度.三个矿山的实例应用表明,在相同的技术经济参数条件下,改进后的优化算法得到的最终境界要优于原锥体排除算法,三个矿山利润值分别增加了0217亿,0417亿和2333亿元.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3～4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰～ -7.8‰, PDB) and matrix dolomites (-6.6‰～ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084～0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078～0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

A computer generator for randomly layered structures

AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

海南岛地体及其毗邻陆缘晚中生代—新生代古地磁研究和构造演化

本文叙述了对海南岛及其毗邻大陆边缘白垩纪到第四纪地层岩石进行古地磁研究的全部工作过程。通过分析岩石中剩余磁矢量的磁偏角及磁倾角的变化,提出海南岛白垩纪以来经历的构造演化模式如下:早期伴随顺时针旋转而向南迁移,后期伴随逆时针转动并向北运移。联系该地区及邻区的地质、地球物理资料,对海南岛上述的构造地体运动提出以下认识:北部湾内早期有一拉张作用,主要是该作用使湾内地壳显著伸长减薄,形成北部湾盆地。从而导致了海南岛的早期构造运动,而海南岛后期的构造运动则主要是受南海海底扩张的影响。海南地体运动规律的阐明对于了解北部湾油气盆地的形成演化有重要的理论和实际意义。     

An Index mechanism for multi-scale view in spatial databases

There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.     

《Chinese Science Bulletin》SUBJECT INDEX TO VOLUME 59(2014)

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Achieving Unusual States of Matter Under High Pressure

The elongation method,originally proposed by Imamura was further developed for many years in our group.As a method towards O(N)with high efficiency and high accuracy for any dimensional systems.This treatment designed for one-dimensional(ID)polymers is now available for three-dimensional(3D)systems,but geometry optimization is now possible only for 1D-systems.As an approach toward post-Hartree-Fock,it was also extended to