Local orthogonal transform for a class of acoustic waveguides

There are some curved interfaces in acoustic waveguides. To compute wave propagation along the waveguides with some marching methods, flattening of the internal interfaces is needed. In this paper, a local orthogonal coordinate transform and an equation transform are constructed to solve the two-dimensional Helmholtz equation for the waveguides bounded by a flat top, a flat bottom and two curved internal interfaces with three layered media. The curved internal interfaces are flattened by the local orthogonal coordinate transform, and the corresponding transformed Helmholtz equation can be solved by some marching methods. This treatment can be extended in multilayered medium waveguides. The one-way reformulation based on the Dirichlet-to-Neumann (DtN) map is then used to reduce the boundary value problem to an initial value problem. Numerical implementation of the resulting operator Riccati equation uses a large range step method to discretize the range variable and a truncated local eigenfunction expansion to approximate the operators. This method is particularly useful for solving long range wave propagation problems in slowly varying waveguides with multilayered medium structure.     

中国产蕗蕨属(膜蕨科)的分类学修订

基于大量植物标本的研究,对中国产蕗蕨属植物进行了分类修订,认为中国产的蕗蕨属植物为17种并给出了各个种的形态描述,地理分布及分种检索表.     

一种低电压低功耗Rail-to-Rail CMOS运算放大器的设计

基于2 μm CMOS工艺!设计实现了一种2.4 V低功耗带有恒跨导输入级的RailtoRail CMOS运算放大 器。采用尾电流溢出控制的互补差分输入级和对称56类推挽结构的输出级，实现了满电源幅度的输入输出和恒 输入跨导；运用折叠共源共栅结构作为中间增益级，实现电流求和放大。整个电路在2.4 V的单电源供电下进行 仿真，直流开环增益为76.5 dB,相位裕度为67.6,单位增益带宽为1.85 MHz。     

数学概论讲演（1943～2004）

本书作者B．埃克曼是瑞士当代著名数学家，以研究拓扑、微分几何、同调代数和群论而著称。他毕业于瑞士苏黎世著名学府EHT（联邦技术学院），后来曾在瑞士洛桑大学及美国普林斯顿高等研究所任教和从事科研工作，1948年起任EHT的数学教授，     

Wavelet Numerical Solutions for Weakly Singular Fredholm Integral Equations of the Second Kind

Daubechies interval wavelet is used to solve numerically weakly singular Fredholm integral equations of the second kind. Utilizing the orthogonality of the wavelet basis,the integral equation is reduced into a linear system of equations. The vanishing moments of the wavelet make the wavelet coefficient matrices sparse,while the continuity of the derivative functions of basis overcomes naturally the singular problem of the integral solution. The uniform convergence of the approximate solution by the wavelet method is proved and the error bound is given. Finally,numerical example is presented to show the application of the wavelet method.     

Excitatory effect of histamine on neuronal activity of rat cerebellar fastigial nucleus Jn vitro

The cerebellar fastigial nucleus （FN） holds an important role in motor control and body balance. Previous studies have revealed that the nucleus is innervated by direct hypothalamocerebellar hletaminergic fibers. However, the functional role of histaminergic projection in cerebellar FN has never been established. In this study, we investigated the effect of histamine on neuronal firing of cerebellar FN by using slice preparations. Sixty-five FN cells were recorded from 47 cerebellar slices, and a vast majority of the cells responded to histamine stimulation with an excitatory response （58/65, 89.2%）. Perfusing slices with low-Ca^2＋/high-Mg^2＋ medium did not block the histamine-induced excitation （n=10）, supporting a direct postsynaptic action of histamine on the cells. Furthermore, the excitatory effect of histamine on FN neurons was not blocked by selective histamine H1 receptor antagonist triprolidine （n=15） or chlorpheniramine （n=10）, but was effectively suppressed by ranitidine （n=15）, a highly selective histamine H2 receptor antagonist. On the other hand, highly selective histamine H2 receptor agonist dimaprit （n=20） instead of histamine HI receptor agonist 2-pyridylethylamine （n=16） mimicked the excitatory effect of histamine on FN neurons. The dimaprit-induced FN neuronal excitation was effectively antagonized by selective histamine H2 receptor antagonist ranitidine （n=13） but not influenced by selective histamine H1 receptor antagonist triprolidine （n=15）. These results demonstrate that histamine excites cerebellar FN cells via the histamine H2 receptor mechanism and suggest that the hypothalamocerebellar histaminergic fibers may modulate cerebellar FN-mediated sensorimotor integration through their excitatory innervations on FN neurons.     

Mechanism of the interaction between Au nanoparticles and polymerase in nanoparticle PCR

Nanoparticle PCR is a novel method to optimize DNA amplification. It performs well in improving specificity, enhancing sensitivity and speed. Several mechanisms were proposed in previous studies: one was based on the interaction between gold nanoparticles (AuNPs) and DNA while the other was attributed to the heat transfer property of AuNPs. In this paper, we propose that the interaction between AuNPs and DNA polymerase can significantly influence PCR. First, the addition of DNA polymerase can eliminate the inhibitory effects of excess AuNPs. Second, the addition of AuNPs will increase yield of the desired PCR product and make the optimum concentration of DNA polymerase move to higher value. Third, while excess polymerase might inhibit amplification efficiency, AuNPs can reverse this process and the yield of PCR amplification. Based on these results we propose a possible mechanism that AuNPs might modulate the activity of polymerase and improve PCR amplification.     

ε不敏感损失函数支持向量机分类性能研究

将原先用于支持向量回归的ε不敏感损失函数引入到支持向量分类中,提出ε不敏感损失函数支持向量分类算法(-εSVC).同标准支持向量分类方法(C-SVC)和最小二乘支持向量分类方法(LS-SVC)相比较,试验结果表明:当赋予参数ε一个足够大的接近于1的值时,-εSVC的分类正确率略低于C-SVC和LS-SVC,但是-εSVC的训练、测试和参数选择的速度要高于C-SVC和LS-SVC.特别是对于大规模数据集,这种优势将更加明显.另外,通过精确选择参数ε的值,-εSVC能够获得比C-SVC和LS-SVC更高的分类正确率,但是训练、测试和参数选择的速度却随着ε的减小而降低.     

色多项式与图的着色性

1912年Birkhoff为解决著名的四色问题首次引进色多项式的概念，1932年Whitney进一步将此概念扩充到任意图上，并建立了一些基本结果，其后关于色多项式的研究深入开展积累了许多成果，并产生不少新课题，成为图论中一个热门研究领域。本书系统全面总结了基本成果，是第一本关于这个主题的专著。     

豆科锦鸡儿属云南锦鸡儿(Caragana franchetiana)染色体数目及核型研究

采取常规根尖压片法首次对豆科锦鸡儿属云南锦鸡儿进行了染色体数目和核型的分析统计。结果表明,云南锦鸡儿(Caragana franchetiana)为二倍体植物。其染色体数目2n=16,8对均为中部着丝粒染色体。核型公式为2n=2x=16=8m。最长染色体与最短染色体的长度比为1.2,臂比大于2的百分比为0,核型类别属于1A型,为较对称核型。没有观察到带随体的染色体。