查询词典 normalized basis

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

Supporters of the normalized data warehouse approach sometimes draw spiderweb diagrams with multiple extracts from the same source feeding into multiple data marts. The illustration supposedly depicts the perils of proceeding without a normalized data warehouse to feed the data marts.

DW 方法标准化的支持者，有时候会画出，从同一个数据源抽取数据填充到多个数据集市中的蜘蛛网状图。

Figure 2 shows a sample spectral mask, 47 CFR 90.210 G, with a normalized X axis to show the offset from the center of the channel and a normalized Y axis to show the unmodulated carrier output.

图2显示一个频谱遮罩的例子，47 CFR 90.210 G，X轴显示距信道中心的偏移量，Y轴显示未调制的载波输出。

Part 3: Technical delivery conditions for normalized/normalized rolled weldable fine grain structural steels.

无正火或正火态的可焊的细晶粒钢的交付技术条件

The theoretical results show that,compared to the source spectrum,the normalized spectrum in some points of the diffracted field is blueshifted,and in the other points of the diffracted field the normalized spectrum is redshifted.

理论研究结果表明：部分相干光谱经单缝衍射后，在衍射光场的某些点，光谱相对于光源的光谱往短波方向移动，即为蓝移；而在衍射光场的另一些点，光谱呈现红移。

The results show that the white thick-bedded siliceous rocks have high contents of SiO2 and Al2O3 and high ratios of Al/ and Al2O3/(Al2O3+ Fe2O3). The ∑REE are low, and the North American shale-normalized REE patterns are characterized by enrichment of LREE and absence of Eu and Ce anomalies, which suggest that the white thick-bedded siliceous rocks might have been formed in the continental margin environment and affected significantly by terrigenous constituents. The anatase-rich siliceous rocks have high contents of TiO2, Fe2O3, Cu and V but low Al/(Al + Fe+ Mn) and Al2O3/(Al2O3 + Fe2O3) ratios. The ΣREE are high, the North American shale-normalized REE patterns are obviously characterized by left-oblique to flat styles of curves and slight negative Ce anomalies, implying that they might have been formed in an oceanic ridge environment.

研究结果表明，呈厚层状产出的无矿白色硅质岩具较高的SiO2、Al2O3含量及Al/、Al2O3/(Al2O3+Fe2O3)比值，稀土元素总量很低，其北美页岩标准化配分模式为向右倾的曲线，无明显铈异常和铕异常，表明其形成于受陆源影响的大陆边缘构造环境；赋矿岩系中薄层状富钛硅质岩的TiO2、Fe2O3、Cu、V含量较高，但Al/、Al2O3/(Al2O3+Fe2O3)比值较低，稀土元素总量较高，北美页岩标准化曲线为明显左倾型－平坦型，具弱的负铈异常，表明其形成于洋脊及附近环境。

Based on the result of normalized frequency with effective refraction index -1 versus inner radius of ring-shaped holes we theoretically analysis the effects of structure parameters to equifrequency contours of respective normalized frequency and imaging properties.

通过光子晶体有效折射率的计算，得到了有效折射率为-1 的电磁波频率随空气环内径由0～0.2a 变化的规律，并由对应等频曲线的变化解释了结构参数对光子晶体平板成像的影响。

For the sake of the realization through to limit death penalty, and providing for enough of basis of theories that to limit the death penalty, discussing the basis of humanity, the basis of economy, and the basis of purpose and function at penalty, the basis of criminal policy. Explanted the meaning of humanity and how to performance on the death penalty.

为从理论上就死刑的犯罪主体限制提供充分的依据，就死刑的犯罪主体限制的人道性依据、谦抑性依据、刑罚的目的和功能依据及刑事政策依据展开论述。

On the geometric modeling, flat surface and curved surface are used to mesh and describe the model;on the electromagnetic modeling. Different basis functions( flat surface roof-top basis function, flat surface RWG basis function, curved surface roof-top basis function, curved surface RWG basis function) and different test functions (line-matching, Galerkin method) are applied to different cells(plat rectangle facet, triangular patch, Bezier patch, parametric surface, curved triangular patch etc.).

在几何建模方面，分别采用平面元和曲面元对模型进行了剖分和拟合；在电磁建模方面，针对不同的单元(平面元、平面三角元，、Bezier元、参数曲面、曲面三角元等)采用不同的基函数(平面roof-top基，平面RWG基，曲面roof-top基，曲面RWG基)和不同的检验函数进行处理。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。