几何的

With respect to syntax, the roles of tagmeme in the structure of word and sentence and Chomsky's Generative-Transformational Grammar are discussed. The spatial relation theory and existing research achievements are investigated. Having noticed the shortage of the capability of topological and metrical relation in the description of spatial information structure, the author proposes Combinational Qualitative Geometry based on the two invariables under ordinary transformations, distance ratio and direction difference, the CQG-based spatial relation system between topological and metrical constraint is thus constructed, on which several spatial relations such as parallel, perpendicularity, co-linearity, sequence and direct neighborhood are derived. Based on extended theory of spatial relation, the language anamorphosis is analyzed from the aspects of phonetics, semantics and syntax. The mere geometric and formalized spatial relation is then integrated with concrete geographic ontology to accommodate richer and indicative spatial configuration of spatial information in the different geographic context. Finally a syntax framework for spatial information is put forward.

在语法结构方面，首先阐述了法位和法素在语法结构词法和句法中的地位和作用，以及Chomsky生成转换语法的核心内容；详细介绍了地理信息系统空间关系理论及现有的研究成果；在分析现有的拓扑关系和量度关系对空间信息结构描述能力不足的基础上，提出了基于长度比和角度差两个不变量的组合定性几何，以此建立了介于拓扑及量度约束之间的组合定性关系体系，并以此为基础派生出平行、垂直、共线、次序、直接邻近等空间关系描述；本文基于扩展的空间关系理论，详细讨论了空间关系在语音、语法和语义三个方面的语言变体，将纯几何和纯形式化的空间关系与具体的地理本体结合起来，可以获得更为丰富的、更能反映空间关系在不同语言上下文中具体体现的组合关系；最后给出了一个空间信息的语法结构的基本框架。

First, this paper, in the field of intrinsic geometry, studies the geometric problems on garment design, as well as applies the frame and semi-geodesic coordinates to prove the fundamental theorem of being a developable surface.

文中首先在内在几何学的层次上，研究了服装设计所涉及的几何学问题，应用标架与半测地坐标方法证明了曲面成为可展面的基本定理，研究了可展面的分类及其性质，考虑到服装三维几何造型的需要，证明了组合式可展面各组成片相切连接条件的命题，作为构造可展面的理论依据，证明了单参数平面族的包络面必为可展面的命题，在此基础上发展出服装几何造型的"刮大白"方法以及相关的三种构造可展面的解析方法。3D→2D的变换是三维服装CAD的重要内容之一，其几何学实质是曲面的定长映射，文中总结了定长映射即可展面在平面上展开的基本准则，在这一准则的指导下，结合服装设计与相关领域的要求，讨论了可展面在平面上展开的解析方法与数字方法，上述内容确立了服装设计几何学的基本框架。

4Based on a fact that the price formula of Asian options can be transformed into that of vanilla European option when the time to maturity is less than or equal to the length of average, we skillfully obtain the analytical price formula for the option on the minimum or the maximum of two geometric average prices and generalize it to obtain the price formula of several average prices for the first time. We also apply the method of [121], which approximates the arithmetic average by the geometric average, to the pricing of opitons on the minimum or the maximum of two arithmetic average prices to obtain Its approximated price formula. Numerical results show that the approximated price is relatively accurate when the riskless interest rate is large or the option is in the money and the volatility of two underlying assets are high and its accuracy is a little reduced but still good when the dividends are considered. However, it is hardly affected by the sampling number.

我们基于观察到的一个事实即当离到期时间小于或等于平均期间时亚洲期权的价格可变换成普通的欧式期权的价格，从而巧妙地得到了两个几何平均价格的最小或最大值期权价格的解析公式，通过简单地推广，首次得到了多个几何平均时的价格公式；将[121]用于算术平均亚洲期权的定价方法推广到两个算术平均价格的最小或最大值期权，从而得到它的渐进公式，数值结果表明：渐进价格的准确性在无风险利率较大或期权为实值且两标的资产的波动率较小时较好，抽样的个数对它没有影响，但考虑红利时它稍有下降但仍较好。

In every period, do the following operations:# For each 8*8 block, do the discrete cosine transform, then take out direct current coefficient in each block, using the transformation above for each DC coefficient, the gold stands for the code of the spread-spectrum we use when embedding the different watermark bit in different frames, after all of the watermark information which we want to embed is embedded, then do the inverse discrete cosine transformation, and store the current frame in a new file.

于是利用DCT变换域的这点重要的几何不变性，我们可以推导出一种能够抵抗几何攻击的视频水印算法，即将所需要嵌入的水印信息以127位扩频序列作为辅助，以求和值形式嵌入到DCT变换后的每个宏块的每个DC系数当中，具体嵌入和提取算法如下：根据使用的扩频序列的长度N，基于相关的嵌入器需要选取包含N帧的视频子序列，令这N帧视频子序列作为一个嵌入周期，对于每N帧视频子序列做如下的操作，#即对于每个8×8的像素块进行DCT变换，然后取出每个DCT变换后的直流分量，对于每个DC系数，做如上所述的变换，其中gold为在第k帧中嵌入第i位水印信息时使用的扩频码字值，待将所有需要嵌入的水印信息全部嵌入后，再做反DCT变换，保存当前帧。

Based on analysis and compare of all kinds of precept-sorting of feature of plastic product for the different structural plastic product, a 3D feature library of plastic product was built on the platform by integrating Feature-Modeling technique with parametric technique. The feature schleps its information of non-geometry by database-externed technique of the entity. After building the database of plastic material, the module of choice of plastic material is developed by technology of ODBC. The plastic product can be sculpted by calling of feature of plastic product and inputting parameters interactively.

针对不同结构类型的塑件，在全面分析、比较塑件特征分类的各种方案的基础上，采用三维特征建模技术和参数化技术，建立了注塑产品的三维特征库；应用实体扩展数据库技术，使特征携带非几何信息；再在建立塑料物性数据库的基础上，采用ODBC技术，开发了塑料材料选择模块；通过塑件特征的调用和人机交互输入参数的方法进行塑件三维造型，再把塑件的三维实体和塑件的非几何信息结合起来，生成塑件全信息模型。

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

This paper presents the Machining Tool geometry of the former flank, the main flank, flank, the main cutting edge, Under the cutting edge tip cutting plane, the main section, the former Kok, horn, wedge angle edge angle, pointed knife, the blade angle, vice horn, Under the Frontier concept, the concept of cutting consumption, and the general circumstances of their choice method for processing slender shaft. cast iron materials, aluminum, stainless steel, rubber materials, plexiglass material, cloth bakelite materials, high temperature alloys, aluminum-magnesium alloy, hardened steel, the typical trapezoidal thread, the thread Triangle, Speaking at the trapezoidal screw thread pitch of the Tool geometry of the selection methods and cutting the amount of cutting fluids reasonable choice.

本文介绍了在机械加工中车刀几何角度中的前刀面、主后刀面、后刀面、主切削刃、副切削刃刀尖切削平面、主截面、前角、后角、楔角主偏角、刀尖角、刃倾角、副后角、副前角的概念、切削用量的概念、以及一般情况下的它们的选择方法，进行加工细长轴、铸铁材料、铝合金、不锈钢、橡胶材料、有机玻璃材料、夹布胶木材料、高温合金、铝镁合金、淬火钢、典型梯形螺纹、三角螺纹、特在螺距的梯形螺纹等的车刀几何角度的选取方法切削用量及切削液的合理选择。

Based on the idea of QR decomposition, a geometric blind separation algorithm is proposed for uniform distribution source signals in this paper. It is known that if source signals follow uniform distribution, the scatter plots of source signals and mixtures will show special geometrical property. Firstly, the mixture signals are whiten so that the scatter plot of which is changed into the scatter plot when they are independent, and then the scatter plot of whiten signals is rotated by C ~2 n times Givens transformation.

该文提出了一种多个均匀分布的源信号混叠的盲分离几何算法，该算法以矩阵的QR分解原理为分离的理论指导，并结合信号在各个阶段其scatter图所具有的特殊几何性质，首先将混叠信号进行白化，使其scatter图恢复为独立时的scatter图形状，然后将白化后的scatter图通过C2n次旋转变换，使其与各坐标轴平行，从而得到n个信号的分离。

The method first embeds watermark into the geometric invariant Fourier-Mellin domain of an image to weaken the geometric distortion, brought by printing process, of the watermark in presswork, and the image is then used to create presswork via a legal printing process. Secondly, the method rectifies rescanned image from the presswork by using Radon transformation and the embedded watermark in it is detected. Since there is an obvious difference between the destruction degrees of the watermark caused respectively by legal and pirated printing process, we can judge whether a copy of presswork is valid or not just by computing the ratio of the successfully derived watermark and comparing it with a predefined threshold.

该方法先将水印嵌入到具有几何不变性的Fourier-Mellin域中，以削弱正版印刷过程中的几何失真对水印的破坏；再利用Radon变换对由扫描印刷品所获得的图像进行矫正，并从图像中提取嵌入的水印信息；由于正版和盗版印刷过程对水印的破坏程度区别明显，该方法最终通过计算水印提取的正确率来度量这种破坏，并将其与预先制定的阈值进行比较来判定印刷品的正伪。

Based on the theoretical work between strengthening effect and grain diameter index, the ratio of geometric area is analyzed.

作者在前人得出的加固效果与粒径指数关系的理论工作基础上，分析了根据粒径指数和一定的加固后影响范围的几何面积的比值，则可以确定承载力改善值，以及每米单位长度 L 的沉管干振碎石桩所需的填充料的体积关系，同时，如果我们已知土的粒径指数值和给出加固效果值，则可以得到每米碎石桩的体积与加固后影响范围的几何面积的比值。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。