Necessary and sufficient condition for uniqueness of solution to the first boundary value problem for the diffusion equation in unbounded domains

This paper introduces a notion of regularity of t=-∞$t=-\infty$ for the diffusion (or heat) equation and establishes a necessary and sufficient condition for the existence of a unique bounded solution to the first boundary value problem for the diffusion equation in a general domain Ω⊂R^N+1$\Omega \subset {\mathbb{R}}^{N+1}$ which extends up to t=-∞$t=-\infty$.     

新疆古尔班通古特沙漠南缘土壤生物结皮中地衣植物物种组成和分布

本文对新疆古尔班通古特沙漠南缘土壤生物结皮中地衣植物种类及分布特征进行了初步研究.结果表明,该地区参与土壤生物结皮的有13种地衣植物,即藓生双缘衣、拟橙衣、丽石黄衣、准葛尔橙衣、磷网衣、胶衣珊瑚变种、坚韧胶衣、金黄茶渍、碎茶渍、鳞饼衣、网衣、糙伏毛微孢衣、鳞核衣,分别属于5个目,10科.并分析了其分布特征,发现地衣植物的分布与苔藓植物有负相关关系,地衣的分布受到环境温度、太阳辐射强度、降水量等因素的影响.同时我们计算了三个组间的地衣多样性和相似性,发现组1的多样性最高,次为组3,组2的多样性最低.     

Electrochemical studies of copper fatty amides complex in organic medium

The electrochemical behavior of complexes of fatty amides, synthesized from vegetable oil, with Cu(II) has been investigated. In this study, a platinum electrode was used in presence of DMSO as a medium. Reduction of Cu(II)/fatty amides complex was found with quasi-reversible reaction. The peak potential of voltammetric behavior of fatty amides is about ?0.77 V at a scan rate v = 0.1 V s^?1 versus Ag|Ag⁺ electrode. This study shows that Cu(II)-fatty amides complex is poorly adsorbed on the electrode surface. Additionally, the copper complex form of fatty amides has a more stable structure than pure fatty amides to form the electrochemical reduction of the complex.     

植物毒素茄格孢吡喃酮A的研究

致病真菌Ascochyta rabiei感染鹰嘴豆植物体产生三种植物毒索．茄格孢毗喃酮A．茄格孢毗喃酮B和茄格孢毗喃酮C．其中茄格孢毗喃酮A的毒性最大．往往在感染的植物体中表现出植物体变黄．植物茎部变脆．易折断等病理现象。严重时导致整个植物体因枯萎病而死亡．体外培养Ascochyta rabiei研究已知．该致病菌产生一些叫做茄格孢毗喃酮的植物毒索．当用分离提纯的茄格孢毗喃酮A毒素喂养植物体时虽然出现了与病菌感染植物体完全一样的病理现象．但研究者均不能从感染植物体或者体外喂养毒索的植物体中重新分离到该毒索。很可能这种毒索通过某种机制被鹰嘴豆植物细胞代谢转换成另外一种物质．为了研究这一过程，我们提取鹰嘴豆植物的蛋白质提取物(30％-70％硫氨饱和沉淀法)于实验室条件下分离提取并用HPLC方法鉴定植物毒索茄格孢毗喃酮A反应．不管还原物质NADPH存在或者不存在．发现植物毒素茄格孢吡喃酮A消失．即使在鹰嘴豆蛋白制备物加热沸腾处理后与毒索的反应中也出现植物毒素茄格孢毗喃酮A的大量丢失．说明蛋白质制备物很可能不是酶．HPLC(高压液相色谱)检测反应产物时出现了一个新物质．NMR(核磁共振)确定该物质为脱甲基的茄格孢毗喃酮A．进一步的研究得知．该脱甲基的茄格孢毗喃酮A不是鹰嘴豆植物蛋白质提取物的作用下产生的．而是分离蛋白质用的硫氨作用于该植物毒素产生的．用透析方法除掉硫氨后的鹰嘴豆植物蛋白质制备物与该毒素反应时．脱甲基茄格孢吡喃酮A不再出现．但仍有茄格孢吡喃酮A植物毒素的丢失．最后发现，分离提纯蛋白质制备物所用的离子交换柱(FPLC)试剂Tris-HCI和NaCl也会导致茄格孢吡喃酮A植物毒素的丢失．与一些非特异性蛋白质化学物反应时．茄格孢吡喃酮A植物毒索还是存在大量的丢失．所有这些研究结果显示．这一种植物毒素茄格孢吡喃酮A似乎具有较高的反应活性．很可能与植物体中的一些物质结合或者局部反应．正因为是这一原因不能从感染植物体或者体外喂养毒素的植物体中重新分离到该毒素，而感染植物或体外喂养毒素的植物仍然表现出明显的病理现象．植物毒素茄格孢吡喃酮A的这种易反应特性．可能就是它对植物体具有较强毒性的原因之一．     

莱茵衣藻(Chlamydomonas reinhardtii)cbn1和cao突变基因的对比分析及CAO基因的分子定位

用电击法将带有CAO基因片段的P sp109-E 8质粒转入到莱茵衣藻cbn1-48m t 基因突变株中后,转化子中出现了叶绿素b的恢复性表达,初步验证了丧失合成叶绿素b能力的cbn1和cao突变基因具有等位性的属性;将1641-1b(cbn1-43 m t )和CC-1354(cbn1-48 m t )突变株分别与CBS5(cao5 m t-)突变株的分离子CBS5-c1和CBS5-c5进行杂交,并通过随机分析方法分离获得1842个减数分裂后代分离子,经检测其中均没有发现有野生性表型的分离子,初步证明cbn1和cao 4突变基因间有着非常紧密的连锁性;从上述杂交系分离获得的50多个四分子中也没有检测发现显示野生性表型的分离子,进一步证明了cbn1和cao突变基因具有等位性的属性;根据CAO基因的DNA序列,从5′-端和3′-端设计两个探针,分别与莱茵衣藻核基因组Ⅰ号染色体上GBP 1和RB 47分子标记之间的21个BAC克隆进行的点杂交实验结果显示,该两个探针序列与21号BAC克隆(莱茵衣藻BAC文库序列号33e2)片段均有同源区的特性,此项DNA杂交实验初步证明,CAO基因的位点是在cbn1突变基因左右两侧的GBP 1和RB 47两个分子标记之间的33e2 BAC克隆片段区.     

Computational and spectral investigation of 5,12-dihydro-5,12-ethanonaphthacene-13-carbaldehyde

A conformational search of 5,12-dihydro-5,12-ethanonaphthacene-13-carbaldehyde predicted the presence of twelve conformations. The geometry of the twelve conformations established at the B3LYP/6-31G* level showed only six unique ones. Vibrational frequencies were calculated at the B3LYP/6-31G* level. The calculated vibrational frequencies enabled us to interpret the appearance of two bands corresponding to the C=O stretching mode of 5,12-dihydro-5,12-ethanonaphthacene-13-carbaldehyde. The first band corresponded to the 5,12-dihydro-5,12-ethanonaphthacene-13-carbaldehyde structure where the aldehyde group O atom was above the benzene or naphthalene ring. The other band was due to the O atom of the aldehyde group pointing out of the benzene or naphthalene ring.     

克莱因-戈登谐振子的魏格纳函数

在量子力学和非对易量子力学框架下研究了克莱因-戈登谐振子的魏格纳函数.首先,求解了不含时间薛定谔方程,然后,利用Bopp-平移方法,在非对易空间和非对易相空间中计算了克莱因-戈登谐振子的魏格纳函数.     

Some local eigenvalue estimates involving curvatures

We first establish a local Faber–Krahn isoperimetric comparison in terms of scalar curvature pinching. Secondly we derive estimates of Cheeger constants related to the Dirichlet and Neumann problems via the (relative) isoperimetric profiles which allow us to obtain, in particular, lower bounds for first non-zero eigenvalues of the problem of Dirichlet and Neumann. These estimates involve scalar curvature and mean curvature respectively.     

A parametric reconstruction of the deceleration parameter

The present work is based on a parametric reconstruction of the deceleration parameter q(z) in a model for the spatially flat FRW universe filled with dark energy and non-relativistic matter. In cosmology, the parametric reconstruction technique deals with an attempt to build up a model by choosing some specific evolution scenario for a cosmological parameter and then estimate the values of the parameters with the help of different observational datasets. In this paper, we have proposed a logarithmic parametrization of q(z) to probe the evolution history of the universe. Using the type Ia supernova, baryon acoustic oscillation and the cosmic microwave background datasets, the constraints on the arbitrary model parameters \(q_{0}\) and \(q_{1}\) are obtained (within \(1\sigma \) and \(2\sigma \) confidence limits) by \(\chi ^{2}\)-minimization technique. We have then reconstructed the deceleration parameter, the total EoS parameter \(\omega _\mathrm{tot}\), the jerk parameter and have compared the reconstructed results of q(z) with other well-known parametrizations of q(z). We have also shown that two model selection criteria (namely, the Akaike information criterion and Bayesian information criterion) provide a clear indication that our reconstructed model is well consistent with other popular models.