加细函数正交性的一个判别准则

In this note, a criterion for orthonormality of refinable functions via characteristicpolynomial of a matrix is given.     

2×2拟线性双曲型守恒律组的粘性消失法(英文)

考虑2×2严格双曲型守恒律组(E),它是在Lax意义下真正非线性的,带有初始条件(Ⅰ)众所周知,在条件(M),(C),(Ⅴ)下,初值问题(E)、(Ⅰ)存在整体光滑解,(参看文[1,2])。然而在文中所采用的方法本质地用来求广义解。本文是用粘性消失法证明文[1]的结果。我们把这个结果看作用粘性消失法求(E)、(Ⅰ)的广义解的第一步。本文也可以看作文[4]的某种推广。在文[4]中,(E)是在Lagrange坐标下均熵气体动力学方程组,但无需条件(Ⅴ)。也是用粘性消失法求得光滑解。     

Frequency optimization approach for designing <Emphasis Type="Italic">M</Emphasis>-band biorthogonal symmetric wavelets

In this paper, a new method is presented for designing M-band biorthogonal symmetric wavelets. The design problem of biorthogonal linear-phase scaling filters and wavelet filters as a quadratic programming problem with the linear constraints is formulated. The closed-form solution is given and a design example is presented.     

An operator splitting method with FDM and FEM for the convection- diffusion equation using boundary-fitted coordinate system

An operator splitting method combining finite difference method and finite element method is proposed in this paper by using boundary-fitted coordinate system. The governing equation is split into advection and diffusion equations and solved by finite difference method using boundary-fitted coordinate system and finite element method respectively. An example for which analytic solution is available is used to verified the proposed methods and the agreement is very good. Numerical results show that it is very efficient.     

紫草萘醌类物质与巯基亲核试剂的反应研究

从中药紫草中提取了其主要有效成分β,β-二甲基丙烯酰阿卡宁,研究了其与含巯基亲核试剂的反应,探讨了这类反应的作用机制。     

硫脲类衍生物及其生物活性研究

本文以氯代甲酸酯与硫氰酸钾的反应产物烷氧酰基异硫氰酸酯同各种芳胺反应合成了十个硫脲类衍生物4-芳基-3-硫代脲酸酯类化合物(1～10),其中七个化合物尚未见文献报道。通过^1HNMR,IR,MS及元素分析和熔点的测定,确定了这十个化合物的结构,并研究了它们对农杆菌的抑制作用。     

手性冠醚的研究进展

对近几年来的手性大环冠醚化合物的合成及应用研究进展作了较为全面的综述。以合成手性大环化合物的起始手性源为依据,对其进行分类,并分子介绍其合成方法;其次,介绍了手性冠醚的三个主要应用方面：(1)对映异构体的手性识别与拆分;(2)不对称催化作用;(3)离子选择性配位与萃取。     

连通度与强正则图的2—可扩性

本文证明了所有具有偶顶点数的强正则图是1—可扩的,如果强正则图G具有偶顶点数和参数(v,k,α,β),并且G的圈边连通度至少为3k—3测G是2—可扩的.     

关于含有Stirling公式的双边不等式(英)

本文证明了有关n！的一个便于应用的双边不等式,它对一切自然数都成立,且当n变大时,上界不等式能给出误差界为O（n^－3）的Stirling渐近公式,从一定意义上说,文中的上界不等式具有最优形式,因为其中的常数0．5已作了最佳选择．文末还给出了关于Catalan数的一个双边不等式．     

Weighted restriction type estimates for Grushin operators and application to spectral multipliers and Bochner–Riesz summability

We prove weighted restriction type estimates for Grushin operators. These estimates are then used to prove sharp spectral multiplier theorems as well as Bochner–Riesz summability results with sharp exponent.