基于联系数的钢筋抗拉强度测量不确定度评定新方法

钢筋抗拉强度的不确定度包括:钢筋直径的不确定度分量,拉力的不确定度分量,检测结果重复性引入的不确定度分量,数据修约的不确定度分量等等,因此,测量不确定度是与测量数据相联系的,联系数是处理不确定性问题的一种系统数学理论,可以用联系数来表示测量不确定度,为此,提出一种基于联系数的钢筋抗拉强度测量不确定度评定的新方法.     

UNIFORM ESTIMATES OF SOLUTIONS OF δ^--EQUATION ON STEIN MANIFOLDS

By means of the Hermitian metric and Chern connection, Qiu [4] obtained the Koppelman-Leray-Norguet formula for （p, q） differential forms on an open set with C^1 piecewise smooth boundary on a Stein manifold, and under suitable conditions gave the solutions of δ^--equation on a Stein manifold. In this article, using the method of Range and Siu [5], under suitable conditions, the authors complicatedly calculate to give the uniform estimates of solutions of δ^--equation for （p, q） differential forms on a Stein manifold.     

The Coulomb Green’s function revisited

It is demonstrated how the energy-dependent Green’s function for the Schrödinger-Coulomb problem can be deduced from a knowledge of the harmonic oscillator time-propagator. All the known results of the Coulomb system are shown to be elegantly derivable from such a connection.     

Ergodic Actions of Semisimple Lie Groups on Compact Principal Bundles

Let G = SL(n, ?) (or, more generally, let G be a connected, noncompact, simple Lie group). For any compact Lie group K, it is easy to find a compact manifold M, such that there is a volume-preserving, connection-preserving, ergodic action of G on some smooth, principal K-bundle P over M. Can M can be chosen independent of K? We show that if M = H/Λ is a homogeneous space, and the action of G on M is by translations, then P must also be a homogeneous space H′Λ′. Consequently, there is a strong restriction on the groups K that can arise over this particular M.     

Berry联络与吴－杨单极势

通过研究一半整数自旋值的中性粒子在球对称磁场中的Ｂｏｒｎ－Ｏｐｐｅｎｈｅｉｍｅｒ方程，发现在自旋空间Ｂｅｒｒｙ联络呈非阿贝尔形式．在绝热近似下，Ｂｅｒｒｙ联络相当于阿贝尔形式的吴－杨单极场．由于拓扑的非平庸性，利用纤维丛中截面的概念研究了位形空间的动力学，发现中心势场中粒子的角动量和能量均取量子化值，但数值发生移动，这是纯几何起源的现象．     

ASYMPTOTIC HODGE THEORY IN SEVERAL VARIABLES： THE FLAT CASE

ＡＳＹＭＰＴＯＴＩＣＨＯＤＧＥＴＨＥＯＲＹＩＮＳＥＶＥＲＡＬＶＡＲＩＡＢＬＥＳ：ＴＨＥＦＬＡＴＣＡＳＥＴＵＬＩＨＵＡＮＧＡｂｓｔｒａｃｔＩｎｔｈｅｆｌａｔｃａｓｅ，ｔｈｅａｎｓｗｅｒｔｏｔｈｅｐｒｏｂｌｅｍｐｏｓｅｄｂｙＳｔｅｅｎｂｒｉｎｋａｎｄＺ...     

Finsler流形上的Laplace算子

该文对Finsler流形上的微分式定义了整体内积，进而引入δ算子和Laplace算子。该文还给出了δ算子的局部坐标表达式并且证明了Laplace算子可以看成是Riemann流形上Laplace算子在Finsler流形上的扩张。     

基础接地中的接地电阻计算

本利用矩量法，得出了三根钢筋圆柱形混凝土基础接地电阻的计算的最佳拟合方程.     

Bundle-connection pairs and loop group representations

LetM be a connected differentiable manifold. Denote by Ω _m (M) the space ofH ¹-loops based at a fixed pointm∈M. Associated to Ω _m (M) one has , the group of unparameterized loops. Given a bundle-connection pair (E,∇) overM with fiber the finite-dimensional vector spaceV and structure groupG⊂GL(V) we get (up to equivalence) a smooth representation of inG given by the parallel transport operatorP ^∇. It is possible to find in the literature several versions of the converse theorem, namely: all (smooth) representations of arise in the above described way from a bundle-connection pair. It is shown in the present paper that the correct setting for this theorem is the theory of induced representations for groupoids. Translated fromMatematicheskie Zametki, Vol. 61, No. 4, pp. 503–518, April, 1997.     

以学生为中心探讨大学化学与高中化学教育的衔接——无机化学主题

基于阶段教育理论，通过调研大学一年级学生高中化学以及大学无机化学的学习情况，归纳高中化学和大学无机化学的联系与差别，了解学生学习的难点，把握教与学的关系，以学生发展为中心，结合实际教学情况探讨大学无机化学与高中化学的有效衔接问题，为大学无机化学课程教师开展教学工作提供依据和建议。