Similar to methods of differential geometry theory, equivalent theorem between differential-algebraic systems' passivation and KYP property was given, the necessary and sufficient passive condition for differential-algebraic systems is given by introducing M derivative.

An improved coordinate transform is proposed and then the differential geometry approach can be directly used to obtain the nonlinear control strategy of SSSC.

提出了一种改进的坐标变换，使得微分几何方法可直接应用于求解静止同步串联补偿器（SSSC）非线性控制策略。

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In this paper, velocity harmonization and acceleration harmonization of a2R-1P3R two-arm robot have been studied for special-shaped surface stone with the differential geometry theory and D-H method.

用微分几何理论和D-H法研究了2R-1P3R双臂机器人用于异形石材加工的速度协调和加速度协调，导出了由工艺给定的切削加工速度求解各关节运动速度和加速度的计算公式。

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In this paper, we generalize the Cartan's lemma to ∧ 2 ( v), and obtain.

本文将现代微分几何中著名的Cartan引理，推广到二次外形式空间（？）~2（V~），得出两个定理。

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For varying operation conditions and electric loads over a wide range, combined with PI control law, the method of nonlinear decoupling by using differential geometry approach is introduced into the control design for boiler-turbine systems. The implementation and the robustness of the control method are analyzed.

针对火电机组运行状况和负荷大范围变动的情况，该文将用微分几何法进行非线性解耦和PI调节律结合的思想引入到控制系统的设计中，并且分析了鲁棒性和实用性；

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The differential structure of extended epicycloid bevel gear tooth surface is analyzed when formatted on free-form bevel gear milling machines.

分析了Free form型铣齿机上用成形法加工延伸外摆线锥齿轮时的齿面微分几何结构。

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When H.Hopf studied the homology of compact Lie group, he gave the concept of Hopf algebra.

自H.Hopf研究紧李群同调时提出了Hopf代数概念之后，人们发现它与李代数、微分几何、代数拓扑及统计物理具有广泛的联系。

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Dynamic Analysis of Multi& Constrained Systems Using the Method of Differential Geometry

多个约束系统动力学分析的微分几何方法

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Fractal theory is a new branch of nonlinear scientific research. It studies the smooth and irregular geometric form of nonlinear system.

分形是非线性科学研究中的一个新分支，主要研究对象是非线性系统中的不光滑和不规则的几何体，分形已经被广泛的应用于各个学科领域。

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The thesis expands the drawing scope of geometric constraint solving by increasing cubic Bezier curve as a new geometric primitive.

通过增加三次Bezier曲线作为一个新的几何体，可以扩大几何约束求解算法的作图范围。

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The shape of FDC body was irregular. It covers house, regular geometry or irregular geometry in modeling of environment simulation.

FDC外形不规则；在环境模拟的建模中，涉及到房屋等规则几何体和植物等不规则几何体。

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Latin Hypercube sampling is first compared with a common sampling procedure ( random simple sampling) in LU decomposition simulation. Then it is applied to the investigation of uncertainty in the simulation results of a spatially explicit forest model, LANDIS.

首先把拉丁超几何体采样与普通随机采样在LU分解算法中的表现进行比较，然后把基于拉丁超几何体采样的LU分解法应用于空间直观森林景观模型LANDIS的模拟。

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In addition, for each origin-symmetric convex body, applying the Jensen inequality and the monotonicity of the geometric body Γ-pK, the reverses of Lp-version of the Petty's conjectured projection inequality and the Lp-Petty projection inequality were given respectively.

继而对于每一个关于原点对称的凸体，应用Jensen不等式和几何体ΓpK的单调性，分别给出了投影不等式Petty猜想的Lp-形式的一个逆向不等式和Lp-Petty投影不等式的一个逆向不等式。

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A Rapid Algorithm for Geometric Characteristics of Complex Body

复杂几何体的几何特征速解

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Textures are mapped onto geometry using U and V values.

纹理采用UV值映射到几何体上。

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In the case of without optical scanning blind areas, a registration method was proposed, in which primitive artifacts were not required as datum, three pairs of points were selected to compute a transform matrix for initial registration.

对CMM测量数据和光学扫描数据的配准进行了研究。对于不存在光学扫描盲区的配准，提出了一种不依靠简单几何体作为基准的配准算法。

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Property of Jacobi Matrix and Theorem of Geometric Integral Transformation

Jacobi矩阵的性质与几何体上积分变换定理

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The Unified Definition and Property of Riemann Integral on Geometrical Figure Ω

几何体Ω上黎曼积分的统一定义与性质

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I've always thought that on the spatial support, MSSQL was way behind many of the other database servers, in its lack of supporting storage of geometry.

我经常想，在对空间信息的支持上，由于它缺乏对几何体的存储，MSSQL总是比别的数据库慢了一拍。

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Thermal Stress Analysis and Gradient Design for Single Geometry Bodies of Functionally Gradient Materials

FGM简单几何体的热应力分析及梯度化设计

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Shader nodes implement material looks that you can apply to geometry.

材质节点使材料生效看起来像你涂抹到几何体。

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