可平面性

The basic idea is as follows: first, a kind of plane α-B-spline interpolation curve with a shape control parameter a is constructed; then, by converting the first derivatives of the curve into Bernstein polynomial, the positive conditions of Bernstein polynomial can be used to get the necessary and sufficie nt conditions for the monotonicity of α-B-spline interpolation curves, i.e., the range of the parameter a. Therefore, monotone-preserving interpolating curves can be obtained succinctly.

其基本思想是：首先构造带有形状可调参数的一类平面(-B样条插值曲线，再把其一阶导矢的两个分量分别转化为Bernstein多项式，从而利用Bernstein多项式的正性条件，得到此曲线为单调的充要条件，即形状参数的取值范围，简单、快捷地实现此参数样条曲线的保单调插值。

Based on the important idea of duality between plane and point geometries,two direct explicit methods of computer-aided design for developable surface s were proposed,the developable surface s were represented using control planes with appropriate basis functions.

为了克服传统方法在可展曲面设计上的缺陷，方便地解决工程中经常遇到的可展曲面位置和形状难以调整和控制的问题，基于3D射影空间中点和平面间的对偶性这一重要思想，提出了两种直接、简单的可展曲面设计方法。

It order to overcome the difficulties in representation of developable surface s utilizing traditional approaches,based the concept of duality between points and planes in 3D projective space, a direct explicit method of computer-aided design for developable surface s was presented.

基于三维射影空间中点和平面间的对偶性，提出了计算机辅助设计五次样条上可展曲面的一种简单且有效的方法，通过采用该方法，可利用具有B啨zier和B样条基的控制平面设计可展曲面。

The standard applied modes of geometric flatness in new GPS(geometrical product specification),including the duality principle and common operation technology in new GPS system,and the expression,algorithm,data processing issues of the theoretical,specification and verification model,were investigated.

研究了新一代GPS中几何平面度标准的应用模式，包括新一代GPS体系的对偶性及共性操作技术以及公称、规范和验证模型的表示、算法和数据处理。开发了试验性软件系统，通过可视化方法表示了它们的关系，实现了GPS几何平面度标准在烟机零件中的具体应用。为进一步应用新一代GPS标准以及规范表达产品的设计、制造、检验所要求的统一公差信息提供了较好的借鉴

Via the process of plane, three-dimensional and spatial information collecting, this study discusses whether the closure principle in Gestalt psychology can not only be applied to graphic design, but also the three-dimensional works and space management, in order to generate more multi innovative ideas.

本研究经由平面→立体→空间的资料收集与分析，探讨完形心理学中的闭锁性，除了运用於平面设计中，是否也可运用於立体作品、空间规划上以产生更多元性的创意发想。

The question of searching characteristic points or straight lines on moving rigid body is decomposed into two relatively independent sub-questions. The first one is to evaluate the characteristic of points and straight lines on moving rigid body, whose mathematics model is a kind of special non-differential max-mini optimal problem with inequality constraints. By the method of Saddle-point Programming and maximum entropy, the problem can be transformed as a differential optimal problem with single objective. The second oner is to search approximative character points or straight lines on moving rigid body within design space, whose mathematic model is nonlinear and non-differential problem with multiple constraints.

本文将在运动刚体上寻找特征点或直线的优化问题分解为两个相对独立的子问题，一是对运动刚体上点或直线的特征性评定，其实质是平面曲线的圆度或直线度的评定问题，优化模型是以最大误差为最小作为优化目标的约束不可微的优化问题，本文采用鞍点规划和极大熵方法，将其转化为单目标可微优化模型；二是在设计空间内，寻找运动刚体上特征性评定指标最小的近似特征点或直线，其优化模型是非线性、多约束的不可微优化问题，本文提出用遗传算法和BFGS局部搜索法相结合来求解。

To solve the problems in adjusting and controlling shapes of developable surfaces, following the important idea of duality between points and planes in 3D projective space, two direct explicit and efficient methods of computer aided design for developable surfaces are proposed.

为了解决工程中可展曲面位置与形状难以调整和控制的问题，基于3D射影空间中点和平面间的对偶性这一重要思想，提出了2种直接、简单有效的可展曲面设计新方法。

The re-establishment of artificial bladder reflex arc by the normal body reflex pathway above the horizon of spinal cord injury had been established successfully and effectively.

利用截瘫平面以上正常的体反射建立人工反射弧通路是成功和有效的，可恢复脊髓损伤后弛缓性膀胱自控性排尿。

Therefore, it has the important scientific research value in studying the relationship between the changing of the parameters (including the temperature, the humidity, the grain radius and so on) and the electricity and radioactivity of the medium. Applied the count statistics and the numeral value analysis, the paper analyzes, concludes and contrasts the data sufficiently through the experimentation, and acquires the following results that the resistivity and the polarizability both have the negative relationship with the temperature variety of medium from 0℃ to 200 ℃. The parallactic poalarizability is consistent with the temperature variety in the plan as well as the section, but their trends are exactly opposite. Power supply voltage has no considerable influence to the resistivity and polarizability by using duality variance analysis, however, the detecting depth and the plan position influence them greatly. Different AB/2 interval that increases by degree does not influence variance and the average value of the resistivity and the polarizability remarkably. By using the least double multiplication, the relationship of temperature-time-the influence radius of the fire source is carried up by the mathematic drawing up. After discussing their correl ation, I educe the influence radius of the fire source and carry out the 'trend analysis and forecast to the spacial changing of the temperature and the parallactic polarizability in the end.

本文通过试验并应用数理统计和数值分析等相关理论对所得到的试验数据进行了分析、归纳和对比，得出了介质温度变化在0-200℃内视电阻率和视极化率与温度均表现为负相关性；视极化率与温度在剖面和平面上的变化形态具有很好的一致性，但变化趋势相反；由二元方差分析可得供电电压对视电阻率和视极化率无显著影响，但探测深度和平面位置对视电阻率和视极化率有显著影响；通过假设检验可证不同AB／2递增间隔，对视电阻率和视极化率的方差和平均数影响都无显著性差异；应用最小二乘法对温度——时间——火源影响半径之间的关系进行了数学拟合，讨论了它们之间的相互关系，得出了火源影响的有效半径，太原理工大学硕士研究生学位论文并对温度和视极化率的空间变化作了趋势分析和预测。

Soil Vapor Extraction is a common method of removing VOCs from the vadose, or unsaturated zone, which is the area between the ground surface and the water table.

土壤的蒸汽抽提技术常用于从渗流层或水不饱和层（指处于地平面与地下水位线之间的土壤区域）的土壤中脱除可挥发性有机物。

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。