关于丢番图方程1+X+Y=Z

设x,y,z,u为非负整数,用计算机辅助方法给出了丢番图方程1+11x+2y11z=2u,x+z0;1+11x+3y11z=3u,x+z0;1+2x+2y11z=11u,x+y0;1+3x+3y11z=11u,x+y0;1+2x+11y=2z11u,zu0;1+3x+11y=3z11u,zu0的全部非负整数解.     

关于一个不定方程组正整数解的上界

运用Baker方法得到不定方程组13x2-11y2=2,48x2-13z2=35正整数解的上界,即记S={(x,y,z)|x,y,z∈Z,并且满足方程组13x2-11y2=2,48x2-13z2=35},T={y|(x,y,z)∈S}若能求得T的上界,只要将解内的y值代入方程组,就可求得方程组的全部正整数解。可以得到上界方程组13x2-11y2=2,48x2-13z2=35的上界为(x,y,z)=(0.92×2418393,2418393,1.92×2418393)。     

关于丢番图方程x2±y4=±z6

利用简洁初等方法,证明了丢番图方程x2±y4=z6,x2+y6=z4,x4±4y4=z3,x4-y4=2z3均无正整数解,方程x4+y4=2z3,(x,y)=1,仅有正整数解x=y=z=1.     

区间值模糊集中蕴涵算子基于重叠和分组函数的分配性

用区间值模糊集的方法和原理,通过引入可表示的区间值重叠函数和分组函数的概念,在边界条件下给出以下4种方程及类似方程的解:I(x,O_1(y,z))=O_2(I(x,y),I(x,z));I(O_(x,y),z)=G(I(x,z),I(y,z));I(G(x,y),z)=O_(I(x,z),I(y,z));I(x,G1(y,z))=G2(I(x,y),I(x,z)).并说明t-可表示的连续Archimedean三角模(三角余模)分配性方程的解类似于上述结果.     

条件极值的一个充分条件

设函数f(x,y,z)与φ(x,y,z)在空间区域Ω上具有二阶连续偏导数,讨论了函数ω=f(x,y,z)在条件φ(x,y,z)=0下取得极值的充分条件及其推广.     

素环的T-对称双导

设R是一环 ,称D :R×R→为R的一个T_对称双导 ,如果它满足 (ⅰ )D(x,y) =D(y ,x) ;(ⅱ )D(x+y ,z) =D(x ,z) +D(y ,z) ;(ⅲ )D(xy ,z) =D(x ,z)T(y) +T(x)D(y ,z) .其中T为R的非恒等自同态 .该文研究素环T 对称双性质 ,得出两个主要结论 ,从而推广了他人的结论     

关于丢番图方程Ax4+Bx2y2+Cy4=z2的解

证明了丢番图方程4x4-6x2y2 3y4=z2,(x,y)=1的全部正整数解为(x,y,z)=(x0／2,ab,(3a4 b4)／4), (Xn,2yn,2zn),认为仅有正整数解(x,y,z)=(1,1,1)是不妥的,它漏掉了(xn,2yn,2zn)及(x0／2,ab,(3a4 b4)／ 4);丢番图方程x4-6x2y2 12y4=z2,(x,y)=1的全部正整数解为(x,y,z)=(x0,ab,(3a4 b4)／2),(xn,yn, zn),认为仅有正整数解(xn,yn,zn),则漏掉了(x0,ab,(3a4 b4)／2)。     

三角代数上Lie积为平方零元的非线性双可导映射

设U是一个三角代数,Ω是U上平方零元的集合,φ:U×U →U是U上的一个映射(在每个变量上都没可加假设).若对任意的x,y,z∈ U且[x,y],[y,z]∈ Ω分别有φ(xy,z)= φ(x,z)y+xφ(y,z)和φ(x,yz)= φ(x,y)z+yφ(x,z),则φ是U上的一个双导子.     

蕴涵格、弱Ro代数与正则剩余格

讨论了蕴涵格、弱Ro代数以及正则剩余格之间的相互关系,证明了以下结论:(1) 弱Ro代数既是蕴涵格又是正则剩余格;(2) 蕴涵格L是正则剩余格(弱Ro代数)的充分必要条件是:对任意x,y,z∈L,x→(y→z)=y→(x→z);(3) 正则剩余格L是蕴涵格(弱Ro代数)的充分必要条件是:对任意x,y,z∈L,x→y∨z=(x→y)∨(x→z).     

Fermat大定理的较简证明

对任三个正整数x、y、z,证明了(x/z)~n+(y/z)~n≠1(n≥3的整数),进而证明了n次不定方程x~n+y~n=z~n(n≥3的整数)无正整数解.因为由任三个x、y、z组成的三数组有无限多个,把这些三数组分成五类,并对各类三数组证明都有(x/z)~n+(y/z)~n≠1.前三类x、y、z易证有(x/z)~n+(y/z)~n≠1,第四类x、y、z用无限整体与有限部份间的关系可证(x/z)~n+(y/z)~n≠1,第五类x、y、z,先引入N_小概念,又对N_小3的x、y、z引入N_大概念,再用引2的结果证明N_小与N_大是相邻整数,于是可证(x/z)~n+(y/z)~n≠1,从而易证Fermat大定理正确.     

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.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

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.     

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-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the