几何亏格,the geometric genus

1)the geometric genus
几何亏格

2)geometry
几何
1.
Research on the Satellite s Geometry Attitude Determination;
卫星姿态的几何确定方法初探


2.
Method of detecting collision of spatial pipes based on geometry;
一种基于几何的空间管道碰撞检测算法


3.
Analysis on infiltration of alternating thought to geometry teaching;
浅析变换思想在平面几何教学中的渗透



3)geometric
几何
1.
A method is presented to analyze the behavior of concrete-filled steel tubular (CFST) arch, which considers the material and geometric nonlinear property, and a finite element program.
提出考虑材料与几何双重非线性的钢管混凝土肋拱面内受力的计算方法并编制了有限元程序。



4)Geometrical Condition
几何条件
1.
Applying the principle of the graph theory put for-ward the method which forms thegeometrical conditions of the contrl network tomatcally and then discussed thestransformation on contr-ol network to form base-line condition.
本文分析了控制网与图的内在关系，应用图论的原理给出了自动生成控制网几何条件的方法，并讨论了生成基线条件时对控制网的拓扑变换。


2.
This paper analyzes the closure error and tolerance of the geometrical condition existing in the plane control network,and based on the production practice,introduces some methods and experiences of making the check calculation of the closure error by using EXCEL.
分析了平面控制网存在的几何条件闭合差及其限差,并根据生产实际,介绍了利用Excel进行闭合差验算的一些方法和经验。


3.
To meet the needs that obstacles would be mounted in the tube to change the geometrical conditions and that the inner wall of the tube should be made repalceable by some porous materials for changing the physical boundary conditons, a specially designed testing section .
为开展边界物理和几何条件对气相爆轰波传播影响的系统研究，需要对已有的４０×４０ｍｍ方截面双层爆轰激波管进行改造。



5)geometric factor
几何因子
1.
Normalized geometric factor in borehole condition and its application;
归一化的井条件下的几何因子及其应用


2.
Way of the cave effect correction of array induction logging based on geometric factor;
基于几何因子的阵列感应测井井洞影响校正方法



6)geometric shape
几何形状
1.
In sharpening tool cutters there is a shortcut mainly based on the geometric shape,which is not only easy to learn, but also can be very precise.
学习刃磨切断刀完全可以走捷径,以几何形状入手的方法,不但入门快,而且不出偏。


2.
States the method of improving the joint strength by analyzing and researching the excessive coordination of the shaft plug and chain plate, geometric shape and tolerance of plate hole and shaft plug, chain hardness and the pressure in the coordination of the chain joint.
链节的联接固度对链条的使用寿命影响很大，通过对销轴与链板配合过盈量、链 板孔和销轴的几何形状误差、链板硬度、链节静配合连接中的比压等的分析研究，提高了 链节的连接固度。


3.
The modulation transfer functions (MTF) of CCD array with equal sampling area but different geometric shapes of pixel are analyzed and simulated by the CCD sampling theory in the case of hexagonal and rectangular shapes.
本文从 CCD的采样理论出发 ,以六角形和矩形像元为例 ,对具有相同采样面积但像元几何形状不同的阵列的调制传递函数 (MTF)进行了理论分析和数值模拟。



参考词条
计算几何 几何光学 几何参数 几何形貌 几何尺寸 几何矩 几何推理 解析几何 几何仿真 弯曲几何
补充资料：曲线的亏格


曲线的亏格
genus of a curve

曲线的亏格【g日.启ofaa口，e;p呱盆”加‘】 域k上一维代数簇(习罗braic姐山ty)的一个数值不变量.光滑完全代数曲线(目酬加ic curve)X的亏格等于X上正则微分1形式(见微分形式(d迁rerential场nn))空间的维数.代数曲线X的亏格按定义等于双有理同构于X的完全代数曲线的亏格.对任一整数g>O，都存在亏格g的代数曲线.代数闭域上亏格g=O的代数曲线是有理曲线(份由耐cu丁，e)，即双有理同构于射影直线P!的曲线.亏格g=1的曲线即椭圆曲线(e帅ticc~)，双有理同构于尸中三次光滑曲线.亏格g>1的代数曲线分为两类:超椭圆曲线和非超椭圆曲线.对非超椭圆曲线X，由完全光滑曲线的典范类凡所定义的有理映射码从l:X~尸，一’是一个同构嵌入;而对超椭回曲线(h男咒r.e正PtiCc也、e)X，映射码幻J:X~尸g一’是有理曲线的一个双叶渡叠.妈划(X)它在2g十2个点上分歧. 如果X是一个m次平面射影曲线，则 g一塑上卫处二互一d， 2这里d是一个衡量X偏离光滑性的非负整数.如果X仅有通常二重点，则d等于X的奇点个数.对于空间中曲线X的亏格g，有如下的估计: f竺户2，若m为偶数， _}一-不一.’们”’/刁’门~’ g诀气俪一l、(m一3)一止“ }竺生二巴里‘竺，若。为奇数， 仁4这里m是X在尸3中的次数. 当灭是复数域C时，代数曲线X就是R妇1.1.曲面(Rj日比以朋s班角Ce)，这时亏格g的光滑复曲线同胚于具有g个环柄的球面.

说明：补充资料仅用于学习参考，请勿用于其它任何用途。


几何亏格,the geometric genus