多项式根的定位与估计

将多项式的根的估计与定位和矩阵特征值的估计与定位联系起来,讨论数论命题中几类特殊的多项式特征根的估计方法,得到一般多项式的特征根的估计方法。     

矩阵多项式方程根的求解问题

本文讨论了当f（x）为矩阵多项式时,矩阵方程f（x）=A的求解问题。首先根据一些已知结论,得出了多项式方程有根的充分必要条件,并对有根的矩阵多项式讨论了根的形式,然后指出求解根的步骤。     

关于有理数域上多项式无理根的若干结果

实数域上多项式有虚数根共轭成对的重要性质。本文推出有理数域上多项式的相应性质：在一系列无理数中，若其中有一个是有理数域上多项式f（x）的根，那么其余的也都是f（x）的根。     

区间上多项式根数目的显式判定

给出文字系数多项式在区间（α，＋∞）内的根数目的一个显式判定，由此可判定一般区间内根的数目。     

关于EuJer—Frobineus多项式的注记

本文把Euler—Frobenius多项式表成初等函数并估计根的界限。     

Selmer多项式不可约性的一个新证明

由n次多项式f（x）的全部根α_1,α_2,…,α_n,构造一个关于根的对称多项式S（f）=∑（α_i-1/α_i）,如果多项式f（x）在Q[x]可以分解为多项式g（x）h（x）,利用恒等式S（f）=S（g）＋S（h）,得出多项式g（x）的可能形式,并利用上述方法给出Selmer多项式不可约性的一个统一证明.     

牛顿迭代法与剖分相结合的一种多项式求根算法

牛顿迭代法是多项式求根的一种效率很高的算法,但是它有两个缺点：第一每次只能求出一个ε－根,求其它根时若采用降次处理又会产生精度降低的问题。第二有时会遇到由于初始点选择不当而使算法失效。如果将牛顿迭代法与剖分相结合,可以产生一个新的多项式求根算法。经过对１１０个１０次到２０次多项式的求根检验发现：１）一次求根率（求出根数与应有根数之比）达到８８％以上;２）已经求出的每一个根的平均迭代次数Ｋ（ｄ）＝ｃ（ｄ）·ｄ,其中ｄ为多项式的次数,ｃ（ｄ）＜１４;３）在复数域内求一个根的计算量为Ｏ（ｄ３）次实数乘法。     

基于经验分布函数快速收敛的信噪比估计器

通过Kolmogorov-Smirnov检验，基于经验分布函数（EDF）的信噪比估计器在宽信噪比范围内对各种多级星座的信噪比估计都是有效的.然而，在本地累积分布函数（CDF）和EDF之间需要进行大量的匹配操作和加法运算.基于这个问题，提出了一种通过线性多项式连续迭代来加速匹配过程的信噪比估计器.在保证估计精度的前提下，使用"以直代曲"的思想，用线性多项式的根不断迭代逼近最大距离曲线的零点，并将零点所对应的信噪比作为接收信号信噪比的估计值.仿真结果表明，与原算法估计器相比，该方法的迭代次数减少了90%以上，降低了原算法的匹配复杂度和运算量.与现有降复杂度的估计器相比，该估计器具有更快的收敛速度和更好的估计性能.      

多项式判别系统的推广和应用

对于两个多项式ｆ（ｘ）,ｇ（ｘ）定义了推广的多项式判别序列Ｄ（ｆ,ｇ）并给出两多项式的根的相对分布的显式判定。     

三次多项式的Newton方法

对于二次多项式，寻求逼近它的根的初始值区域比较容易，但对于三次多项式，问题要困难得多。本文研究了三次多项式Ｐλ（Ｚ）＝Ｚ３＋（λ－１）Ｚ＋λ，证明了在牛顿迭代下，逼近根Ｚ＝１的初始值区域包含了实轴上除去区间（－３．１，３．１）以及复平面上圆｜Ｚ｜＜２．６外的点     

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.     

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.     

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.     

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.     

A computer generator for randomly layered structures

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

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.     

Jane Eyre——A Feminist In The 19th Century

In the 19th century the society was controlled by men, and women were just appendants of them, they had not any rights and freedom. But Jane was an exception, she showed some characteristics of early feminist. Jane showed her characteristics of feminism in three aspects: rebellion, equality, and independence. These characteristics were helpful to her success, and feminism is the only way out for women of that time.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-