查询词典 three dimensional torus

Using the substitution-elimination method affine algebraic variety can be resolved to pure d-dimensional subvariety and expressed by an algebraic hypersurface on d+1-dimensional space with a sequence of elimination-polynomial systems. All 0-dimensional solution can be found, too.

利用变换消元法可以把代数簇分解成纯d维的子簇，并把代数簇表示为d+1维子空间上的超曲面形式和一系列的消元多项式组，且能求出全部孤立解，同时给出了算法及其在多项式因式分解中的应用。

Herein, a self-assembly system with polymer pattern of lower molecular weight polyaerylie acid have been built up, in which some nanosized complex was synthesized, including nanosphere of Pb-PAA, one-dimensional nanorod of CuS-PAA and PbS-PAA, one-dimensional helix nanochain of PbSO4-PAA, and one-dimensional reticulate nanofibres of PbCr2O7-PAA. The mechanism was discussed preliminarily, the important action of the bone angle torsion as well as the ""contact bridge"" served by ion in the course of self-assembly was proposed for the first time.

本文以低分子量聚丙烯酸为高分子模板构建自组装体系，首先合成了几种特殊形态的纳米配合物，包括纳米微球Pb-PAA、一维纳米棒CuS-PAA和PbS-PAA、一维螺旋纳米链PbSO_4-PAA及一维有序纳米纤维网络PbCr_2O_7-PAA，初步讨论了该自组装体系的合成机理，首次提出了键角张力和分子的"搭桥"作用在自组装过程中的作用。

Events,Operation and Relation of Sets, Classical Probability, Geometrical Probability , Statistical Stability of a Frequency, Axioms of Probability, Conditional Probability, Total Probability Theorem, Bayes' Rule,Independent Events,Independent Repeated Trials, One Dimensional Random Variables, Discrete Random Variables, Distribution Function of a Random Variables , Continuous Random Variables, Normal Distribution, Distribution of a Function of a Random Variable, Multidimensional Random Variables, Joint Distribution Function, Marginal Distribution Function,Discrete Two—Dimensional Random Variables,Continuous Two—Dimensional Random Variables, Independent Random Variables, Distribution of Functions of Random Variables,Expectation,Variance, Covariance, Coefficient of Correlation, Bivariate Normal Distribution, Law of Large Numbers, The Central Limit Theorems, Sample and Population ,Chi—Squared, T and F Distributions , Sampling Distributions , Point Estimation , Interval Estimation , Testing Hypotheses , A Test of Significance for Parameters in a Single Sample From a Normally Distributed Population , A Test of Significance for Parameters in Two Sample From Normally Distributed Populations .

本课程的主要内容：概率的概念与运算、随机变量及其分布、随机变量的数字特征与极限定理、数理统计的基本概念、估计和检验的基本方法，随机事件与概率随机事件、事件的关系与运算、几何概率、统计概率等，条件概率、全概率公式、贝叶斯公式、事件的独立性、二项概率公式，随机变量的概念、离散型随机变量、随机变量的分布函数、连续型随机变量、随机变量函数的分布，多维随机变量及其分布函数、边缘分布函数、随机变量的独立性、二维随机变量函数的分布，数学期望、方差、协方差和相关系数、大数定律、中心极限定理，总体与样本， X 2-分布、 t-分布和 F-分布，统计量及抽样分布，假设检验的基本概念、单个正态总体参数的显著性检验、两个正态总体参数的显著性检验。

The principle of the two dimensional acoustooptic Q switch is presented,the formulas of the diffraction efficiency and diffraction loss of the AO Q switch with normal Bragg diffraction is derived,the relationship between One dimensional and Two dimensional Bragg diffraction is analyzed.

描述了两维声光Q开关的基本原理，详细推导出正常布喇格衍射的两维声光Q开关衍射效率和衍射损耗的表达式，分析了两维布喇格衍射和一维布喇格衍射之间的关系，并给出了在驱动功率40W、光束直径5mm、光波长1。

Solutia Inc. hundred SiBiono produced dog food products, additives premix composite products, including dog-specific multi-dimensional (puppies dedicated multi-dimensional, multi-dimensionaldedicated), Canine-specific multi-mineral, puppies¨and dedicatedadditive premix composite products such as food companies SiBiono dogs of different scientific and technical personnel in accordance with the physiological stage of the special nutritional needs, and carefully selected the finest beef, chicken and deep-sea fish meal imports methionine, lysine, choline, natural yeast, milk ching powder, soybean meal, dicalcium phosphate dcp, ferrous sulfate, copper sulfate, manganese sulfate, zinc sulfate, potassium iodide, sodium selenite, cobalt green, ammonia-dimensional Le Zinc, 8702B, sweeteners, vitamin C, vitamin E such as 36 kinds of high quality raw materials, the application of international most advanced production technology from.

百诺公司所生产的百诺犬粮食品、添加剂复合预混料系列产品包括犬专用多维（幼犬专用多维、成犬专用多维）、犬专用多矿、幼犬浓缩料及成犬专用添加剂复合预混料等产品，百诺食品公司科技人员根据犬不同生理阶段的特殊营养需要，精心选用上等牛肉、鸡肉和深海鱼粉、进口蛋氨酸、赖氨酸、胆碱、天然酵母、乳清粉、豆粕、磷酸氢钙dcp、硫酸亚铁、硫酸铜、硫酸锰、硫酸锌、碘化钾、亚硒酸钠、绿化钴、氨维乐锌、8702B、甜味剂、维生素C、维生素E等三十六种优质原料，采用国际最先进的工艺生产而成。

Dimensional hype, of course this method is good without the method above perhaps, but have long sex quite, as far as possible the beautiful point that makes the vacuum, of course FLASH, dimensional module, dimensional pattern plate, belle picture, individual character autograph is waited a moment, what should get the space is super and flowery, next the picture adds watermark, and contain website link, catch even if go much space leaves a message, remember wanting the font of enlarge space address in leave a message!

5，空间炒作，当然这个方法也许没有上面的方法好，但是比较具有长久性，尽可能的把空间做的漂亮点，当然FLASH，空间模块，空间模板，美女图片，个性签名等等，要把空间弄的超级绚丽，然后图片加上水印，并且带有网站链接，接着就是去大量的空间留言，记住在留言中要放大空间地址的字体哦！

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

In two inequalities concerning the circumradius and inradius of an n dimensional simplex in the n dimensional Euclidean space E n were obtained, Thus, the n dimensional Euler inequality and the inequality in , were improved.

给出了n维欧氏空间En中的两个关于单形外接球半径和内径的几何不等式，同时进一步改进了文［1］和［2］中的n维欧拉不等式。

In particular,the C-Autoencoder provides such a bi-directional mapping between the high-dimensional data space and the low-dimensional manifold space and is not only able to overcome the inherited deficiency of most nonlinear dimensionality reduction methods that do not have an inverse mapping but also especially suitable for dimensionality reduction and reconstruction of high-dimensional continuous data.

特别地，这种连续自编码网络可以提供高维连续数据空间和低维嵌套结构的双向映射，不仅有效解决了大多数非线性降维方法所不具备的逆向映射问题，而且特别适用于高维连续数据的降维和重构。

In this paper, the existence of isometric mapping between the manifold in the high-dimensional data space and the parameter space is proved. By distinguishing the intrinsic dimensionality of high-dimensional data space from the manifold dimensionality, and it is proved that the intrinsic dimensionality is the upper bound of the manifold dimensionality in the high-dimensional space in which there is a toroidal manifold.

首先给出了高维数据的连续流形和低维参数空间之间的等距映射存在性证明，然后区分了嵌入空间维数、高维数据空间的固有维数和流形维数，并证明存在环状流形高维数据空间的参数空间维数小于嵌入空间维数。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。