Stirling数模2方幂的同余式

设a,c,k,n,m为正整数, m≥3 且 S(n,k) 为第二类Stirling数. 在本文中, 作者分别建立了S(n,a2m－1)和S(n,a2m－2)模2m的同余式, 其表达式均由二项式系数组成. 进一步地, 作者得到了S(c2m,2m－2)模2m的简化结果.     

一类特殊排列的计数

计算集合S={1,2,…,2m}中不同时出现i和i+1,j和j+3（其中 m∈{1,2,3,…},i∈{1,2,…,2m－1},j∈{1,3,5,…,2m－3}）的k元组合数f(2m,k)=f(2(m－1),k)+f(2(m－1),k－1)+f(2(m－2),k－1).利用容斥原理求出集合N={1,2,3,…,n}的元素i和i+1不相邻的n排列数为p(n)=n!+∑〖DD(〗n－1〖〗i=1〖DD)〗((－1)if(2(n－1),i)(n－i)!)(其中n∈{4,5,6,…},i∈{1,2,…,n－1}).     

青藏高原东缘五种风毛菊属植物的核型研究

报道了产于青藏高原东缘五种风毛菊属(Saussurea DC.)植物的染色体数目和核型,研究结果表明,五个种的染色体数目分别是:紫苞雪莲(Saussurea iodostegia)2n=32;长毛风毛菊(Saussurea hieracioides)2n=32;柳叶菜风毛菊(Saussurea epilobioides)2n=24;小花风毛菊(Saussurea parviflora)2n=26;变裂风毛菊(Saussurea variiloba)2n=26,均为二倍体.核型公式为:紫苞雪莲(S.iodostegia)2n=2x=32=8m+16sm+8st,属3B型;长毛风毛菊(S.hieracioides)2n=2x=32=18m+14sm,属2B型;柳叶菜风毛菊(S.epilobioides)2n=2x=24=12m+10sm+2st,属2B型;小花风毛菊(S.parviflora)2n=2x=26=24m+2sm,属2B型;变裂风毛菊(S.variiloba)2n=2x=26=6m+16sm+4st,属3A型,五个种的染色体中均未发现随体.     

Cartan型阶化李代数的中心扩张和H~1(L,L)

A.S.Dzhumadil'daev决定了Cartan型阶化李代数的上同调群H~2(L,F)的结构,其中L=W(1,m)(p≥3),S(3,m)(p≥3),H(n,m)(p>3),K(n+1,m)(n≡-3 mod(p)和p≥3)和F是特征数p的代数闭域,R.Farnsteiner决定了H~2(L,F)的结构,其中L=W(n,m)(p>3),S(n,m)(p>3和n=3),H(n,m)(p>3)和K(n,m)(p>3)。利用H~2(L,F),他们也得到相应的中心扩张     

关于Lee猜想的一些结论

Lee提出了猜想:对任意正整数n>1及n次对称群S(n)中的任意置换f,路置换图P(Pn,f)都是优美的.讨论了当f=l-1Ⅱk=0(m+4k,m+4k+2)(m+4k+1,m+4k+3)(其中m和l为正整数,且m-1+41≤n)时,路置换图P(Pn,f)的优美性.     

一组组合关系式

本文用组合分析的方法及数学归纳法证明了以下一些组合关系式. (1)C(n+k,r)=sum from m=0 to k (k!)/((k-m)!m!)C(n,r-m); (2)sum from m=0 to n K~m C(n,m)=*(1+k)~n; (3)sum from k=0 to n K~m=sum from k=1 to n S(m,k) ((n+1)!)/((k+1)(n-k)!); (4)sum from p=0 to m F(n,p)=((n+m)!)/(n!m!); (5)sum from q=1 to m qF(n,q)=((n+m)!n)/((m-1)!(n+1)!); (6)sum from p=1 to n F(p,m)=((n+m)!)/((m+1)!(n-1)!); (7)sum from r=0 to S (F_(mi2r)F_(n+2r)+F_(m+2r+1)F_(n+2r+1)); =F_(2??+1)(F_(2??+1)F_(m+n+1)+F_(2??)F_(m+n)); (8)sum from k=0 to n C_k=C_(n+5)-2; (9)S_k??5=sum from p=0 to n C_(k+5??)=C_(5n+1+k+γ_(k,5));     

轮W_(n+1)和W_(m+1)关于K_r-粘合的色等价类和广义树

设m和n是偶数（m,n≥4）,给出了3个色等价类{{W(n+1)W(m=1)},{K3}},{{W(n+2),W(m+1),K3},{K3,K2}},{{W(n+1),W(m+1),K3,K2},{K3,K2,K1}}的基本特征,分析了它们之间的关系．最后给出了广义树的色多项式P（G）＝λ（λ－1）（λ－q3）…（λ－qn）,（1≤qi≤i－1,i＝3,4,…,n）．这些结果在证明上述3个色等价类是完全类时是有用的．     

求解两个与Smarandache函数有关的方程

对任意正整数n,著名的Smarandache函数S(n)定义为最小的正整数m,使得n│m!.对于任意给定的正整数n,伪Smarandache函数Z(n)定义为最小的正整数m,使得n│1+2+…m=m(m+1)/2.对任意正整数n,伪Smarandache无平方因子函数Zw(n)定义为最小的正整数m,满足n│mn,即Zw(n)=min{m∶m∈N,n│mn}.用初等方法研究了方程S(n)+Z(n)=n和Zw(Z(n))-Z(Zw(n))=0并给出了它们的全部解.     

一类Stirling数的2-adic赋值

设d(k)与v2(k)是分别是正整数k以2为基底的指标和与整除k的2的最高方幂. 作者首先证明了v2(S(3·2n+1,k+1))=d(k)-1,其中n,k∈Z+且1k2n-1,然后给出了v2(3·2n+2,k+2))一些计算公式和下界,最后给出了关于S(3·2n+1,k+1)的一些同余式.     

关于F.Smarandache函数与素因数和函数的一个混合均值

对于任意正整数n,若它的标准分解式是n=Pα11 Pα22…Pαkk,著名的F.Smarandache函数S(n)定义为:存在最小的正整数m,使得n|m!,即:S(n)=min{m∶n |m!,m∈N},素因数和函数定义为:(ω-)(n)=P1+P2+…+Pk,利用初等及解析的方法研究了F.Smarandache函数S(n)与素因数和函数(ω-)(n)的加权均值分布,得到了新混合函数S(n)(ω-)(n)的均值性质,并给出一个有趣的加权均值分布的渐近公式.     

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.     

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.     

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.     

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.     

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.