存在刚体模态的杆、梁连续系统某些振荡性质的补充证明

针对存在刚体运动形态的杆和Euler梁,借助共轭系统的概念和性质,本文证明了它们都具有如下定性性质：设ui（x）是存在刚体运动形态的杆或Euler梁的连续系统的第i（i ＝1,2,…）阶位移振型,则对任意的2≤p≤q和不全为零的实常数ci（i ＝p,p ＋1,…,q）,函数u（x）＝cpup（x）＋cp＋1up＋1（x）＋…＋cquq（x）,0＜x ＜l在区间（0,l）内的节点不少于p -1个,而其零点不多于q -1个。     

有向扇形是优美有向图

1　引言及主要结果本文所用术语及符号遵循文献 [1 ].设 D=( V,A)是 p个顶点 q条弧的有向图 ,如果存在一个单射θ:V( D)→ {0 ,1 ,2 ,… ,q},使得对所有的弧 ( u,v)∈ A( D) ,由 θ′( u,v) =[θ( v) - θ( u) ]( mod( q 1 ) ) ,导出的映射 A( D)→ {1 ,2 ,… ,q},是一个双射 ,则称 θ是 D的一个优美标号 ,D是优美有向图 ,这里 θ′( u,v) =[θ( v) - θ( u) ]( mod( q 1 ) )的意义是指 θ′( u,v) =ru,v,　 1≤ru,v≤ q,　ru,v≡ [θ( v) - θ( u) ]( mod( q 1 ) ) .由路 Pn 的每个顶点都与同一个不在 Pn上的顶点相联接所得到的图…     

一类本原有向图的m-competition指数

设D是一个n阶本原有向图, 对于正整数m及n(1≤m≤n), 定义本原有向图D的m competition指数为最小正整数k, 满足对于任意一对顶点x和y, 在D中都存在m个不同的顶点v1,v2,…,vm,使得xkvi且ykvi(i=1,2,…,m).文中讨论了一个含有两个n-2圈和一个n-3圈的n阶本原有向图D。由D的结构得到本原有向图Dn-2和Dn-3, 再根据m-competition指数的定义, 得到这个本原有向图D的m-competition指数。     

关于不定方程组x2－6y2＝1与y2－Dz2＝4的公解

设p1,…,ps(1≤s≤4)是互异的奇素数.证明了当D＝2p1…ps,1≤s≤4时除开D为2×11×97外,不定方程组x2－6y2＝1与y2－Dz2＝4仅有平凡解(x,y,z)＝(±5,±2,0).     

蕴含强(p,q)哈密尔顿性的几个条件

利用路收缩技术,证明了,如果有向图D满足下列条件中的任何一个,(1)最小半度δ0(D)≥(n+p+q)/2;(2)D是(p+q+1)强连通有向图,且d+(x)+d+(y)+d-(u)+d-(v)≥2(n+p+q)-1,这里,x,y是任意控制顶点对,u,v是任意被控制顶点对;(3)D的弧数超过(n-1)2+q2+p;那么D是强(p,q)哈密尔顿的.     

一类一阶微分方程的通解问题

文章讨论了微分方程y′（x）u（y）=q（x）v（y）解的特殊求法,得出：当{u（y）/v（y）}′=y′/v（y）时y′＋p（x）u（y）=q（x）v（y）有通解u（y）/v（y）=e^-∫p（x）dx[∫q（x）e^∫p（x）dx dx＋c]。     

一类混合型拟线性双曲抛物型方程的非线性边界问题

本讨论了以下两个问题：1．提出形式为α[a(v)αv(x,t)/αx]/αt＝0，αu(x,t)/αt－b(u)α^eu(x,t)/αt^2＝0的混合主程的非线性边界条件问题并将证明已知系数a(v),b(u）和解函数v(x,t),u(x,t)有其它们的各阶偏导数的iiiayдep和ГyДep型定（Aпpиopbbй aceHκa）。     

一类二阶中立型时滞微分方程的振动准则

本文主要利用H（ t,s）型函数和广义Riccati变换技巧,建立二阶中立型时滞拟线性微分方程[r（t）｜x′（t）｜γ－1x′（t）]′＋q0（t）｜y（t －σ）｜γ－1y（t －σ）＋q1（t）｜y（t －σ1）｜α－1y（t －σ1）＋q2（t）｜y（t －σ2）｜β－1y（t －σ2）＝0．其中x（t）＝y（t）＋p（t）y（t－τ）,在0≤p（t）≤1的新的振动准则．     

关于Pell方程x2－6y2＝1与y2－Dz2＝4的公解

该文证明了：1) 若p1，…，ps是不同的奇素数，则当D＝p1…ps(1≤s≤3)时除开D为11,11×89×109,11×97×4801外，方程组G：x2－6y2＝1与y2－Dz2＝4仅有平凡解(x，y，z)＝(±5，±2,0)；2)若D是无平方因子正整数，则当D为偶数且D没有适合p≡1(mod 24)以及p≡7(mod 24)的素因数p，则方程组G仅有平凡解(x，y，z)＝(±5，±2,0).     

一类新混合积分不等式及应用

研究了如下混合积分不等式up（x,y）≤a（x,y）＋b（x,y）f^a（x0∫^a（x）0∫^∞βy[c（s,t）u（s,t）＋e（s,t）]dtds,u^p（x,y）≤a（x,y）＋∫a（x）0b（s,y）[u（s,y）]）^pds＋∫α（x）0∫^∞βy[c（s,t）u（s,t）＋e（s,t）]dtds及u^p（x,y）≤a（x,y）＋∫^a（x）0b（s,y）[u（s,y）]^pds＋∫^α（x）0∫^∞βyF（s,t,u（s,t））dtds,并给出了其具体的应用实例．     

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