Asymptotic Approximations of Jacobi Polynomials and Their Zeros with Error Bounds

IntroductionUniform asymptotic expansions and error boundsof the (α,β>- 1 ) two- term approximations of theJacobi polynomials P(α,β)n ( cosθ) were obtained[1] .Their result wassin θ2α cosθ2βP(α,β)n ( cosθ) =Γ( n +α + 1 )n!θsinθ1/ 2 Jα( Nθ)Nα +θB0 (θ) Jα+1( Nθ)Nα+1+σ2 ,|σ2 |≤ E2 θ2 +αN -2 ,　 0≤θ≤ π2 ,where E2 is a construct.Baratella and Gatteschiused the first two terms of this expansion[2 ] toconstructa more accurate one- term approximation:x(θ)x′(θ)…     

Analysis of cDNA sequence, protein structure and expression of parotid secretory protein in pig

Parotid secretory protein (PSP) secreted abundantly in saliva, whose function is related with the anti-bacterial effect. The PSP cDNA has been isolated from pig parotid glands by 3′ and 5′ rapid amplification of cDNA end (RACE), based on the conserved signal peptide region among the known mammalian PSP. The result of homologous comparison shows that pig PSP and human PSP shares the high identity at the level of the primary, secondary and tertiary protein structure. A search for functionally significant protein motifs revealed a unique amino acid sequence pattern consisting of the residues Leu-X(6)-Leu-X(6)-Leu-X(7)-Leu-X(6)-Leu-X(6)-Leu near the amino-terminal portion of the protein, which is important to its function. RT-PCR, Dot blot and Northern blot analysis demonstrated that PSP was strongly expressed in parotid glands, but not in other tissues.     

Inhibitory effect of the adenovirus type 5 E1A protein expressed in the yeast system of the human tumor cell growth

Adenovirus 5 type E1A as a tumor suppressor gene can inhibit tumor growth and enhance the censitivity of chemotherapy and radiotherapy.E1A have the ability to integrate into the host genome,resulting in long-time expres-sion that induces Rb gene inactivation and animal cells im-mortalization.This prompted us to select the E1A protein for treatment of cancer in order to overcome the limitations of E1A gene therapy.Thus,we firstly comstructed E1A eu-caryotic expression vector (pPIC9/E1A),transformated the pichia pastoris yeast cells(GS115) and screened the high-expressing recombinant strains.The positive yeast strains were cultured in the shake flask,and induced for 3d.The crude E1A protein was purified using two steps of col-umu chromatography on HiTrap Q and HiTrap SP.The pu-rified E1A protein was identified by SDS-PAGE and Western blot.E1A protein was mostly located at cellular unclear when Cheriot delivered E1A protein into cells.The analysis in vitro indicated that the E1A protein arrested LN686 cell cycle at G2/M phase,and significantly inhibited the growth of LN686 tumor cells.The current studies firstly provided an experimental basis to further develop E1A protein for tumor treatment.     

指数分布场合下基于分组数据区间估计的新方法

从新的角度证明了分组数据下指数分布总体均值的极大似然估计(MLE)的渐进正态性,给出了该均值的渐进置信区间。通过Monte Carlo模拟比较,发现该置信区间优于CHEN和MIE得到的置信区间。     

某第二类Fredholm积分方程的一种数值解法

我们考虑第二类 Fredholm积分方程的快速数值解法 .本文假设核函数除在 x=t处带有弱奇性外 ,是解析的 [1] .我们利用分片多项式插值逼近核函数 ,由此得到近似的系数矩阵 A.设 n为积分节点的个数 ,k2为每个小区域的插值节点数 ,我们证明矩阵 A的计算和矩阵 -向量相乘 Ax各需要 O( nk)次运算 ,存贮 A需要占用 O( nk)内存 .最后我们对算法的稳定性进行讨论并给出数值结果     

CDMA通信系统接收信号的统一表达式

针对同步与异步CDMA通信系统以及不同的信道模型,给出了连续接收信号的统一表达式。若对接收信号进行采样,也可得到离散接收信号的统一表达式。通过给出信道模型的统一表达式,可以很方便地利用此表达式来进行CDMA无线通信系统的各种复杂信道的参数辩识以及盲均衡设计。     

建筑、结构、表现形式的有机融合--迁安综合体育馆建筑设计

结合迁安体育馆方案设计,对小型体育馆的总体平面设计、建筑平面设计、建筑立面造型设计、体育馆结构设计、音质和照明设计等方面进行了探讨,并在小型体育馆建筑设计、结构设计以及表现形式的有机融合方式方面进行了综合探索.     

在心脏组织表达的一个人类新基因

KRAB／C2H2型锌指蛋白是一类具有重要功能的转录调节因子，初步克隆了一个新的人类KRAB／C2H2型锌指蛋白基因，经国际基因命名委员会批准命名为ZNF382，此基因长2824bp，含5个外显子，4个内含子，在基因组DNA上长约23kb，它编码548个氨基酸，在氮末端含一个KRAB框，碳末端含一个未成形的锌指(VZF)和9个锌指(ZF)，Northern杂交结果表明，ZNF382mRNA在早期胚胎时期(至少在妊娠34d之前)就开始表达，在不同时期人类胚胎组织中广泛表达，包括小脑、肾、大脑、肺、心脏、骨骼肌、舌和肾上腺，在成人组织其表达限制在心脏，其结构和表达特征预示着ZNF382在心脏发育和功能的发挥起着潜在的作用。     

纳豆激酶基因克隆及其在大肠杆菌中活性表达研究

以纳豆芽孢杆菌基因组DNA为模板，PCR扩增了纳豆激酶基因（natto kinase gene）中编码前肽、成熟肽的核苷酸序列（pro-NK），构建大肠杆菌表达质粒pTYB102，转化大肠杆菌ER2566。在IPTG诱导下，分别在15℃（14h）、30℃（3h）、37℃（2h）条件下培养，pTYB102均能表达出有活性的纳豆激酶。实验证实纳豆激酶基因得到活性表达需要Pro序列。SDS－PAGE表明，15℃和30℃和37℃培养表达的杂蛋白更少。薄层扫描测定表达的纳豆激酶占菌体总蛋白30％以上。     

Gegenbauer多项式的零点分布

将文献[1]中关于Legendre多项式的零点分布定理推广到了Gegenbauer多项式,所述方法也可以推出超球多项式与切比雪夫多项式的类似结果.