数的几何

In the four section, from the interpolationdimension of an algebraic curve and an algebraic surface,using theoryand method of algebraic geometry, we get some interpolation of analgebraic curve and an algebraic surface, and we prove the reasonableof the interpolation dimension of an algebraic curve and an algebraicsurface.

第四章我们从沿代数曲线曲面空间的插值维数出发，利用代数几何理论与方法，给出了代数曲线曲面上的基本插值结构，并证明了我们长期应用的其上的插值维数公式的合理性。

We will obtain that 0 is an eigenvalue of the operator corresponding to the model with geometric and algebraic multiplicity one.

第三节中研究对应于该排队模型主算子的谱特征，得到0是该主算子及其共轭算子几何重数与代数重数为1的特征值。

The increments of the contraction ratio and the convergence angle strengthen the internal compression.

用N-S方程模拟了一系列典型二元高超声速进气道内压缩通道及隔离段模型，模拟发现内压缩通道及隔离段增压比、温升比和总压恢复系数等性能参数主要受面积收缩比、内压缩通道收缩角、隔离段长高比等几何参数以及内压缩通道进口马赫数、密度、附面层厚度等流动参数的影响。

During the Voronoi tessellation on a planar point set composed of massive points, a technical scheme of dynamic data-exchange between hard disk data file and internal memory structural array designed so, that the limitation of computer internal memory storage need not be considered and the construction of massive Voronoi cells as many as hundreds thousant in number was effectively implemented.

在对"海量"点组成的平面点集进行Voronoi划分时，设计"硬盘数据文件－内存结构体数组"之间动态的数据交互方案，避开计算机内存的限制，有效实现了数十万Voronoi晶胞集合体的构造，存储Voronoi图几何信息的数据最后以文本文件的形式输出，方便Voronoi图在工程实际中的应用与二次开发。

The characters of several current calculation methods of disturbing gravitation are compared and the spherical harmonics function to calculate the disturbing gravitation is adopted.

通过比较几种现有的扰动引力计算方法的特点，采用了球谐函数法计算扰动引力，给出了用几何关系法求落点偏差的方法，分析了扰动引力在导弹飞行过程中的变化趋势和球谐函数模型取不同阶数时扰动引力计算造成的落点偏差，实现了通过合理选取球谐函数阶数来保证扰动引力截断误差较小的快速计算。

Besides having a some insight into theinternal structure of operator algebras,it gives a greatimpetus to the development of modern mathematics towords thenon-commutative direction,especially to the developement ofnon-commutative geometry,non-commutative algebraical topologyas well as non-commutative algebraical geometry.

除了反映算子代数自身的内在性质之外，它还对于现代数学朝着非交换的方向发展起着积极的推动作用，特别对于&非交换微分几何&，&非交换的代数拓朴&，甚至&非交换的代数几何&等非交换的数学学科的发展具有重要的影响。

Probes into the strategies of integration teaching about DGS and geometry teaching Based on the practical analysis of integration teaching from the experiment, integration strategies on DGS and geometry teaching are advanced as follows: strategies of accuracy-based figure-to-data transformation; strategies of abundance-based generalization; strategies of dynamic-based test-driving; strategies of scene-based pre-generation; strategies of dynamic variability-based extending.

3DGS技术与初中几何教学整合的策略探究根据对微型整合教学实验的具体分析，本研究归纳和梳理了有关DGS技术与初中几何教学整合的主要策略：基于精确性的形数转化策略；基于丰富性的概括抽象策略；基于形象性的证明驱动策略；基于情景性的预设生成策略；基于动态性的拓展延伸策略。

Probes into the strategies of integration teaching about DGS and geometry teachingBased on the practical analysis of integration teaching from the experiment, integration strategies on DGS and geometry teaching are advanced as follows: strategies of accuracy-based figure-to-data transformation; strategies of abundance-based generalization; strategies of dynamic-based test-driving; strategies of scene-based pre-generation; strategies of dynamic variability-based extending.

3DGS技术与初中几何教学整合的策略探究根据对微型整合教学实验的具体分析，本研究归纳和梳理了有关DGS技术与初中几何教学整合的主要策略：基于精确性的形数转化策略；基于丰富性的概括抽象策略；基于形象性的证明驱动策略；基于情景性的预设生成策略；基于动态性的拓展延伸策略。

Some primary metering grooves with different curvature radiuses and geometrical dimensions were designed,and the hydraulic characteristics of them were all tested Based on the experiment results, different flow characteristics of them were obtained The great differences between the experimental results and the conventional theoretical predictions were found by the comparison between them Under the condition of this experiment, the critical Reynolds is 1000～1200, and is diminished as the decrease of th...

为了在设计层板发汗冷却推力室时选择合适的一次调节通道，对不同曲率半径、不同几何尺寸的一次调节通道进行了流阻试验，得出了不同几何尺寸的一次调节通道的流动特性。试验结果与经典的层流理论计算结果之间存在较大的差异。试验表明，一次调节通道的临界雷诺数随曲率半径的减小而减小，摩阻系数随曲率半径的减小而增加，并得出了相应条件下的一次调节通道摩阻系数的修正关系式，在层流范围内能较好地反映一次调节通道的流阻特性

Based on the return map and the principle of closed vectors, a new method is proposed to extract unstable periodic orbits embedded in chaotic attractors. As examples, the UPOs embedded in chaotic attractors of Logistic, Hénon and Lorenz are extracted respectively by this method. And our results of Skewed Hénon map also be compared with Nusse's. These results suggest that this method is valid for unstable periodic orbits from period one to period infinite of arbitrary dimension chaotic system. The dynamic considerations of spiking and UPO coding for individual neuron and neural system under external periodic and chaotic exciting stimulus also be studied in this dissertation. A lot of spiking phenomena, such as synchronization, period, and chaos appear alternatively with the changing of the stimulus frequency. For the small stimulus frequency the neuron could completely convey the periodic signal in synchronous anti-phase into interspike intervals sequences. For the slow time–scale chaotic input, the output two ISI sequences are reciprocally related to input signals, and their oscillation wave shape in time course can be derived from that of the input signals variation, furthermore, the similar input sequence and order of UPOs, distribution of LES and value of KYD remain in attractors reconstructed from ISI sequences.

发现周期信号在单个神经元传递过程中，随着激励频率的改变，神经元输出的峰峰间期interspike interval时间序列呈现出周期、混沌和准周期的交错变化，特别当外加激励信号频率较低时，周期信号可以通过神经元ISI序列以反相同步的周期运动形式传递下去；同时无论是周期还是混沌激励信号，在神经系统中的传递均与其自身强度和神经元之间的耦合强度的大小密切相关；快变时间尺度的混沌激励信号在耦合的神经系统传递过程中，会造成大量基本信息的丢失；而慢变时间尺度的混沌激励信号在神经系统传递中，它的非线性特征信息，如混沌吸引子、不稳定周期轨道、Lyapunov指数谱和分形维数，会通过系统输出的ISI序列部分地重现出来，如与输入慢变时间尺度的混沌激励信号相比，神经系统输出的ISI序列具有：相似几何形状的混沌吸引子、相近的Lyapunov指数谱和分形维数、局部结构相同的不稳定周期轨道的排列方式。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。