On saturation for a spline approximation

We obtain a saturation theorem for a wavelet operator which is constructed by B-spline function.     

2,2-二(甲硫基)乙烯基苯基酮1H NMR溶剂效应的研究

在四氯化碳介质中考察了苯对标题化合物的核磁共振谱的溶剂效应.观察到标题化合物分子中的两个甲硫基和混合溶剂中的苯的共振吸收峰随着苯的摩尔分数增加而逐渐移向高场,而且两个甲硫基向高场移动程度不同,ASIS值也随苯的摩尔分数增加而增加,得到了所有化学位移值和ASIS值与苯的摩尔分数呈线性关系,尝试用溶剂化作用解释了标题化合物的ASIS效应.     

Nuclear Effect Study Under K Factor‘s Nonconstancy

A consistent approach to estimating nuclear effect functions RA RvA (x2) and RSA(x2) based on numerical iteration technique is presented in the quark-parton model when taking into account the nonconstancy of quantum chromodynamics correction factor K. ARv (x2) and RsA(x2) correspond respectively to the valence quark distributions for one bound nucleon within the nucleus and to the sea quark ones. Related numerical analysis is given for nuclei 6 12C,20 40Ca, and 26 56Fe. As the basis, it adopts both experimental data of the high energy proton-nucleus Drell-Yan process and of the high energy lepton-nucleus deep inelastic scattering.     

拟置换与实Clifford分析中的广义正则函数

本文应用拟置换的性质，得到了实Clifford分析中广义正则函数的充分必要条件．     

对合的不动点集为非常余维数的流形

Ｊｎｋ１，…，ｋ１为具有如下性质之协边类：该类的某个表示Ｍｎ具有对合Ｔ，其不动点集为∪Ｆｎ－ｋｉ易知，Ｊｎｋ１，…，ｋ１为ＭＯｎ之子群．本文决定了一些 Ｊｎｋ１，…，ｋ１     

Supersymmetric extensions of Schrödinger-invariance

The set of dynamic symmetries of the scalar free Schrödinger equation in d space dimensions gives a realization of the Schrödinger algebra that may be extended into a representation of the conformal algebra in $d+2$ dimensions, which yields the set of dynamic symmetries of the same equation where the mass is not viewed as a constant, but as an additional coordinate. An analogous construction also holds for the spin-$\frac{1}{2}$ Lévy-Leblond equation. An $N=2$ supersymmetric extension of these equations leads, respectively, to a ‘super-Schrödinger’ model and to the $(3|2)$-supersymmetric model. Their dynamic supersymmetries form the Lie superalgebras $\mathfrak{osp}(2|2)⋉\mathfrak{sh}(2|2)$ and $\mathfrak{osp}(2|4)$, respectively. The Schrödinger algebra and its supersymmetric counterparts are found to be the largest finite-dimensional Lie subalgebras of a family of infinite-dimensional Lie superalgebras that are systematically constructed in a Poisson algebra setting, including the Schrödinger–Neveu–Schwarz algebra ${\mathfrak{sns}}^{(N)}$ with N supercharges. Covariant two-point functions of quasiprimary superfields are calculated for several subalgebras of $\mathfrak{osp}(2|4)$. If one includes both $N=2$ supercharges and time-inversions, then the sum of the scaling dimensions is restricted to a finite set of possible values.     

Oscillation criteria of second order neutral difference equations

Some Riccati type difference inequalities are established for the second-order nonlinear difference equations with negative neutral term $$\Delta (a(n)\Delta (x(n) - px(n - \tau ))) + f(n,x(\sigma (n))) = 0$$ using these inequalities we obtain some oscillation criteria for the above equation.     

Automorphisms of Association Schemes of Quadratic Forms over a Finite Field of Characteristic Two

Let X_n denote the set of quadratic forms in n variables over a finite field F_q of characteristic 2, and X_n the association scheme on X_n by defining the relations with respect to the type of quadratic forms. We prove that every automorphism of X_n is of the form X P^tXP + Y for all X X_n, where P GL_n(F_q), is an automorphism of F_q, and Y X_n.2000 Mathematics Subject Classification: 05E30Supported by the National Natural Science Foundation of China (10271039), Hobei Natural Science Foundation (102132) and Hebei Education Committee.     

Pointwise weighted approximation by Bernstein operators

We consider the pointwise weighted approximation by Bernstein operators. The related weight functions are Jacobi weights . We obtain approximation equivalence theorems, using a weighted modulus of smoothness , which is an extension of~[5].