满旗流形Sp(3)/T的不变爱因斯坦度量

研究了迷向表示分为9个不可约子空间的满旗流形Sp(3)/T上的不变爱因斯坦度量,计算Sp(3)/T非零结构常数的值,根据其爱因斯坦方程,利用Maple软件得到64个不变爱因斯坦度量(差常数倍的情况下),在等距的意义下,其中有1个凯莱爱因斯坦度量和3个非凯莱爱因斯坦度量.     

A law of the iterated logarithm for processes with independent increments

ＡＬＡＷＯＦＴＨＥＩＴＥＲＡＴＥＤＬＯＧＡＲＩＴＨＭＦＯＲＰＲＯＣＥＳＳＥＳＷＩＴＨＩＮＤＥＰＥＮＤＥＮＴＩＮＣＲＥＭＥＮＴＳＷＡＮＧＪＩＡＧＡＮＧ（汪嘉冈）（ＥａｓｔＣｈｉｎａＵｎｉｖｅｒｓｉｔｙｏｆＳｃｉｅｎｃｅ＆Ｔｅｃｈｎｏｌｏｇｙ,Ｓｈａｎｇ...     

CHAOS FOR MIXING TRANSFORMATIONS

ＣＨＡＯＳＦＯＲＭＩＸＩＮＧＴＲＡＮＳＦＯＲＭＡＴＩＯＮＳ￥ＬＩＡＯＧＯＮＧＦＵ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ,ＪｉｌｉｎＵｎｉｖｅｒｓｉｔｙ,Ｃｈａｎｇｃｈｕｎ１３００２３,Ｃｈｉｎａ．）Ａｂｓｔｒａｃｔ：Ｆｏｒａｃｌａｓｓｏｆｍ...     

Optimal error estimates of a locally one-dimensional method for the multidimensional heat equation

For the multidimensional heat equation in a parallelepiped, optimal error estimates inL ₂(Q) are derived. The error is of the order of +¦h¦² for any right-hand sidef L ₂(Q) and any initial function ; for appropriate classes of less regularf andu ₀, the error is of the order of ((+¦h¦² ), 1/2<1.Translated fromMatematicheskie Zametki, Vol. 60, No. 2, pp. 185–197, August, 1996.     

Countable network weight and multiplication of Borel sets

A space Borel multiplies with a space if each Borel set of is a member of the -algebra in generated by Borel rectangles. We show that a regular space Borel multiplies with every regular space if and only if has a countable network. We give an example of a Hausdorff space with a countable network which fails to Borel multiply with any non-separable metric space. In passing, we obtain a characterization of those spaces which Borel multiply with the space of countable ordinals, and an internal necessary and sufficient condition for to Borel multiply with every metric space.

     

Curvature invariants, differential operators and local homogeneity

We first prove that a Riemannian manifold with globally constant additive Weyl invariants is locally homogeneous. Then we use this result to show that a manifold whose Laplacian commutes with all invariant differential operators is a locally homogeneous space.

     

对角度规谐和条件下不存在引力辐射和引力波

证明了在对角度规谐和条件下,在不存在引力辐射和引力波,并对Ｂｏｎｄｉ引力平面波和引以立波进了讨论。     

摇椅形唇弓单独使用或联合平面导板矫治深覆

单独采用摇椅形唇弓或联合平面导板的方法,对２１例恒牙列期安氏Ⅱ类Ⅰ分类的低角型前突型深覆牙合患者进行了矫治,以观察两种方法临床疗效的异同。结果表明：１）摇椅形唇弓与平面导板联合使用有利于深覆牙合面型的改善,缩短了打开深覆牙合的时间;２）两种方法对牙齿的松动度及颞下颌关节（ＴＭＪ）的影响无显著性差异。对于低角型的深覆牙合患者,摇椅形唇弓与平面导板矫治能取得更好的临床疗效。     

On Riemann-Finsler geometry

The history of Finsler geometry is reviewed and briefly recent development in Finsler geometry and its application is completed systematically. Furthermore, an interesting open problem has been proposed in this field.     

Thermal Deformation Measurement and Stress Analysis of PQFP Assembly during Power Cycling

ＴｈｅｒｍａｌＤｅｆｏｒｍａｔｉｏｎＭｅａｓｕｒｅｍｅｎｔａｎｄＳｔｒｅｓｓＡｎａｌｙｓｉｓｏｆＰＱＦＰＡｓｅｍｂｌｙｄｕｒｉｎｇＰｏｗｅｒＣｙｃｌｉｎｇＤａｉＦｕｌｏｎｇ（戴福隆）,ＳｈｉＬｉｎｇ（石玲）,ＷｅｎＸｉｕｍｅｉ（温秀梅）Ｄｅｐａｒｔｍ...