Gauss Sum of Index Four

Let p be a prime number, q=p^f and m|q-1. For a multiplicative character x of Fq with order m, the Gauss sum G(x) over Fq is defined by     

不可摸数

计算隅500 000以下的不可摸数73 565个。     

三角帆蚌对水体Cr,Pb和Cd的净化与吸收

三角帆蚌（Hyriopsis cumingii Lea）对水体Cr,Pb,Cd污染有明显的净化能力，持续处理12d，能使水体Cr,Pb,Cd含量分别下降83％，77．6％和72％。蚌体的斧足、鳃、外磁膜、体表粘液、肝脏、肠道和生殖腺等组织对3种污染物的吸收和富集作用不尽相同，其中分别以体表粘液、鳃和肝脏最为显著。3种污染物进入蚌体的速度很快，其组织吸收量一般在第3天即可达到较高水平。进入蚌体的污染物，可在组织转移和重新分布。研究结果为生物治理Cr,Pb,Cd等重金属污染积累了资料。     

科学家试制三维计算机芯片

为了提高计算机的运算速度，中国和日本的科学家采取一种特殊技术，研制三维计算机芯片．     

聚变等离子体中的快离子压强

本文运用Fokker-Planck方程的慢化近似,考虑存在多种离子成份(包括杂质),假定它们具有共同的温度,我们得到了聚变产生的快离子压强的简单封闭形式表示式。表明在典型的工作温度下(～60keV),D-~3He等离子体中聚变产生的快离子压强约为本底热压强的20％,这与D-T等离子体工作在20keV时的比值几乎相同。因此,D-~3He和D-T在它们相应的预期工作温度下,它们各自的快离子压强对总压强的影响是类似的,然而在更高的温度下,这个比值将变得更大。     

First-Principles Study on the Electronic Structures for Y^3＋：PbWO4 Crystals

The possible defect models of Y^3＋：PbWO4 crystals are discussed by defect chemistry and the most possible substituting positions of the impurity Y^3＋ ions are studied by using the general utility lattice program （GULP）. The calculated results indicate that in the lightly doped Y^3＋ ：PWO crystal, the main compensating mechanism is [2Ypb^＋ ＋ VPb^2-], and in the heavily doped Y^3＋ ：PWO crystal, it will bring interstitial oxygen ions to compensate the positive electricity caused by YPb^＋, forming defect clusters of [2Ypb^＋ ＋Oi^2-] in the crystal. The electronic structures of Y3＋ ：PWO with different defect models are calculated using the DV-Xα method. It can be concluded from the electronic structures that, for lightly doped cases, the energy gap of the crystal would be broadened and the 420nm absorption band will be restricted; for heavily doped cases, because of the existence of interstitial oxygen ions, it can bring a new absorption band and reduce the radiation hardness of the crystal.