BC型量子GIM代数及其Lusztig对称

对$\ell$阶BC型Cartan矩阵的2-仿射矩阵$\tilde{A}_{\ell+2}\times\ell+2}$,定义了相应的量子广义相交矩阵(GIM)代数$U_{q}$,对每个$1\leq i\leq\ell+2$,证明了$U_{q}$有自同构$T_{i}$,讨论了它们的基本性质. 所得到的结果推广了经典量子群和ADE型量子广义相交代数的Lusztig对称理论.     

赋Luxemburg范数的广义Orlicz函数空间中的$\lambda$点和$\lambda$性质

为了研究在更一般情形下的Orlicz空间的$\lambda$性质, 借鉴经典Orlicz空间中的方法并发展了广义情形下的新方法, 给出了赋Luxemburg范数的广义Orlicz空间单位球中的点是$\lambda$点的充分必要条件. 这些结果表明, 在某些广义Orlicz空间中, 并不是所有单位球中的点都是$\lambda$点, 这与在经典Orlicz空间中, 单位球中的点都是$\lambda$点的结果是不同的. 最后, 给出了具有$\lambda$性质和一致$\lambda$性质的赋Luxemburg范数广义Orlicz空间的充要条件.     

关于一类四阶偏微分方程解的一个 Bernstein 性质

设$x:M\rightarrow A^{n+1}$ 是由定义在凸域 $\Omega\subset A^n$ 上的某局部严格凸函数 $x_{n+1}=f(x_1,\dots,x_n)$ 给出的超曲面. 我们记 $\rho(x)=\left(\det\left(\frac{\partial^2f}{\partial x_i\partial x_j}(x)\right)\right)^{-\frac{1}{n+2}} $. 假设 $(M, g)$ 是一完备的Hessian流形且具有非负的李奇曲率,如果 $\rho$ 满足 $\Delta_{g}\rho=\beta\frac{\parallel\nabla\rho \parallel_g^2}{\rho}(\beta\neq 1)$ , 则 $M$ 一定是椭圆抛物面.     

矩阵广义逆偏序的新定义

从矩阵的偏序定义出发,提出了在集合意义下新的矩阵广义逆偏序的定义.$\boldsymbol{A}\leqslant^{\{1\}}\boldsymbol{B}\Leftrightarrow\boldsymbol{A}\boldsymbol{A}\{1\}=\boldsymbol{B}\boldsymbol{A}\{1\},\boldsymbol{A}\{1\}\boldsymbol{A}=\boldsymbol{A}\{1\}\boldsymbol{B}$以及$\boldsymbol{A}\leqslant^{\{1,2\}}\boldsymbol{B}\Leftrightarrow\boldsymbol{A}\boldsymbol{A}\{1,2\}=\boldsymbol{B}\boldsymbol{A}\{1,2\},\boldsymbol{A}\{1,2\}\boldsymbol{A}=\boldsymbol{A}\{1,2\}\boldsymbol{B} $.并分别讨论了四种情况下, 矩阵$\boldsymbol{A},\boldsymbol{B}$的形式.最后得到了相应的广义逆偏序的充要条件.     

四阶两点边值问题3个对称正解的存在性

应用广义的Leggett-Williams不动点定理,研究了四阶两点边值问题 $ {{u}^{\left( 4 \right)}}\left( t \right)=f\left( u\left( t \right) \right)\ \ \ \ \ \left( t\in \left[ 0, 1 \right] \right), u\left( 0 \right)=u\left( 1 \right)=0, {u}'\left( 0 \right)={u}'\left( 1 \right)=0 $ 正解的存在性, 其中$f:\mathbb{R}\to \left[ 0, +\infty \right)$连续. 在f满足适当的增长条件下, 得到该问题至少存在3个对称正解.     

协方差矩阵的乘积及其迹的估计

对于两个不同总体的协方差矩阵$\Sigma_1$和$\Sigma_2$,估计其乘积$\Sigma_1 \Sigma_2$及乘积的迹$\trace(\Sigma_1 \Sigma_2)$是统计推断问题的关键步骤. 首先,构造$\Sigma_1 \Sigma_2$的几个等价估计,同时对于任意的正整数$m,n$建立了$\Sigma_1^m \Sigma_2^n$ 和 $(\Sigma_1 \Sigma_2)^m$的无偏估计。其次,利用$\Sigma_1 \Sigma_2$ 的等价估计,发现了$\trace(\Sigma_1 \Sigma_2)$的多个常用估计量是相等的. 最后,基于上述发现,证明了两个常用的检验统计量(被用于检验两个协方差矩阵是否相等)是渐近等价的.     

关于第二类 Stirling 数的 p-adic 赋值的一些新结果

设 $n$ 和 $k$ 为任意正整数. 第二类\ Stirling 数, 记作\ $S(n,k)$, 表示将\ $n$ 个元素划分为恰好\ $k$ 个非空集合的个数. 设\ $p$ 为奇素数, 令\ $v_p(n)$ 表示 \ $n$ 的\ $p$-adic 赋值, 即\ $v_p(n)$ 是能整除\ $n$ 的最大的\ $p$ 的方幂. 一般来说, 计算\ $S(n, k)$ 的\ $p$-adic 赋值是很困难的. 有许多作者研究了第二类\ Stirling 数 $S(n,k)$的算术性质, 包括\ Davis, Lengyel 以及\ Hong 等. 在本文中, 我们研究第二类\ Stirling 数的\ $p$-adic 赋值的一些性质. 事实上, 我们通过对\ $S(n, k)$ 进行\ $p$-adic 分析证明了\ $S(p, 2)\ge 1$, 其中等号成立当且仅当\ $p$ 为一个 Wieferich 素数. 当\ $n\ge 2$ 时, 我们还证明了\ $v_p(S(p^n, 2p))\ge n$, 以及\ $v_p(S(p^n, 4p))\ge n-2\ (p\ge 5)$, 这改进了\ Adelberg 不久前的结果.     

一类二阶非线性矩阵微分方程的振动性定理 (英)

建立了二阶非线性矩阵微分系统 $ (a(t)\X’(t))’+b(t)\X’(t)+\Q(t)f(\X(t))= 0,t\geqslant t_ 0 >0$ 的振动性标准, 这里 $\Q(t),$ $f’(\X(t))$ 是 $n \times n$ 矩阵， $f’(\X(t))$ 正定, $a(t)$ 和 $b(t)$ 实值函数. 引进了一个特殊函数 $\phi(t,s,r)=(t-s)^ \alpha (s-r)^ \beta , \alpha,\ \beta > \frac 1 2 $\ 是常数，$ \ r \geqslant t_0,$ 得到了形式为 $\lim \sup\lambda_ 1 [.] > $ const 的振动性标准, 改进了一些已知的结果.     

$\bf\Lambda _{\bf c} \textbf{(2880)}^{\bf +} \textbf{2}$D波激发态的强衰变

在$^3P_0 $模型框架下, 计算$\Lambda _{c} (2880)^+$作为2D波激发态的衰变宽度和分支比, 确定其量子态并探究内部激发模式. 计算结果表明: $\Lambda _{c} (2880)^+$有可能是2D激发态$\Lambda _{{c}2} \big(\frac{3}{2}^+\big)$, $J^P=\frac{3}{2}^+$, 且$n_\rho =1$、$l_\lambda =2$, 为径向$\rho $激发、轨道$\lambda $激发的激发模式, 总衰变宽度${\it\Gamma}_{total} =18.53$ MeV, 分支比比值$R={\it\Gamma}(\Lambda _{c}(2880)^+\to \Sigma _{c}(2520)\pi)$/${\it\Gamma}(\Lambda _{c} (2880)^+\to \Sigma _{c} (2455)\pi)=0.16$; 也可能是2D激发态$\Lambda _{{c}2}^{'}\big(\frac{3}{2}^+\big)$, $J^P=\frac{3}{2}^+$, 且$n_\lambda =1$、$l_\lambda =2$, 为径向$\lambda $激发、轨道$\lambda $激发的激发模式, 总衰变宽度${\it\Gamma} _{total} =1.69$ MeV, 分支比比值$R={\it\Gamma}(\Lambda _{c} (2880)^+\to \Sigma_{c}(2520)\pi )$/${\it\Gamma} (\Lambda_{c} (2880)^+\to \Sigma_{c}(2455)\pi )=0.10$.     

哈密顿路径的饱和数

给定一个图$F$, 如果图$G$中不包含$F$,且在$G$中添加图$G$的补图$\overline{G}$的任意一条边$e$后得到的图$G+e$中包含$F$, 则称图$G$为$F$-饱和图. 设sat($n,F$)=min{|$E(G)$|:|$V(G)$|=$n$,$G$是$F$-饱和图. 证明了当$n\in K=\{34,35,36,37,44,45,52,53\}$时都有sat($n,P_{n}$)=$\left\lceil \frac{3n-2}{2} \right\rceil$, 并给出边数最少的哈密顿路径饱和图的一种构造方法.     

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.     

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.     

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.     

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.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

橡胶颗粒沥青混合料低温抗裂性试验研究

以AC-13级配为基础,将橡胶颗粒代替部分集料掺入混合料中,以低温弯曲试验为评价方法对不同橡胶颗粒掺量下沥青混合料的低温抗裂性进行研究,并引入应变能密度值对混合料的低温抗裂性进行综合评价.试验结果表明:橡胶颗粒沥青混合料试件的破坏微应变均超过2 300,满足冬寒区的技术指标;无论是否掺加橡胶颗粒,随着温度的下降,沥青混合料破坏时的最大弯拉强度增大,弯拉应变降低,劲度模量增大;弯曲应变能密度在胶粒掺量为1%左右时具有较大的弯曲应变能密度值,此时橡胶颗粒沥青混合料具有较好的低温抗裂性.     

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。     

Quantitative trait loci （QTLs） for quality traits related to protein and starch in wheat

Quality traits in wheat （Triticum aestirum L.） were studied by quantitative trait locus （QTL） analysis in a recombinant inbred line （RIL） population, a set of 131 lines derived from Chuan 35050 × Shannong 483 cross （ChSh）. Grains from RILs were assayed for 21 quality traits related to protein and starch. A total of 35 putative QTLs for 19 traits with a single QTL explaining 7.99-40.52% of phenotypic variations were detected on 10 chromosomes, 1D, 2A, 2D, 3B, 3D, 5A, 6A, 6B, 6D, and 7B. The additive effects of 30 QTLs were positive, contributed by Chuan 35050, the remaining 5 QTLs were negative with the additive effect contributed by Shannong 483. For protein traits, 15 QTLs were obtained and most of them were located on chromosomes 1 D, 3B and 6D, while 20 QTLs for starch traits were detected and most of them were located on chromosomes 3D, 6B and 7B. Only 7 QTLs for protein and starch traits were co-located in three regions on chromosomes 1D, 2A and 2D. These protein and starch trait QTLs showed a distinct distribution pattern in certain regions and chromosomes. Twenty-two QTLs were clustered in 6 regions of 5 chromosomes. Two QTL clusters for protein traits were located on chromosomes 1D and 3B, respectively, three clusters for starch traits on chromosomes 3D, 6B and 7B, and one cluster including protein and starch traits on chromosome 1D.