infinitesimal geometry

(1)For Schur s inequality on convex curves of plane, we give a new analytic proof for it, which maybe is simpler or clearer than known ones; we make further discussions by means of integral geometry and get more results.

( 1 )对平面上的Schur定理 ,给出了一种解析的证法 ,它比已知的一些 (几何的 )证法显得简洁、明快 ,进而还用积分几何方法作了些讨论 。

We introduce the fundamental method of integral geometry,plane isoperimetric inequality and Hadwiger s containment problem.

文中简单介绍积分几何方法 ,以及平面等周不等式和Hadwiger包含问

FOrpoint-sources and the correspondent responses measured on the earth s surface, we get anintegral equation satisfied by the 2-D wave velocity perturbation, which is a problem ofintegral geometry.

利用线性化方法得到了波速的二维小扰动满足的积分方程，这是一个积分几何的问题。

PMSM control based on state variable feedback and differential geometry theory;

基于状态反馈与微分几何的PMSM控制

Research on chaotic synchronization based on differential geometry theory;

基于微分几何理论的混沌同步研究

Controlling chaos in permanent magnet synchronousmotor based on the differential geometry method;

基于微分几何方法的永磁同步电动机的混沌运动的控制

With the combination of differential geometry and variable structure control,a new nonlinear control algorithm is proposed,in which the nonlinear feedback of the system is linearized through differential geometry and the control strategy is designed with mature sliding mode variable structure contro.

为此,将微分几何与变结构控制相结合,提出了一种新型的非线性控制算法,即通过微分几何法将系统非线性反馈线性化,再用成熟的滑模变结构控制理论设计控制策略。

Two feedback linearization methods differential geometric method and inverse system method are presented.

介绍了基于坐标变换和反馈控制理论的 2种反馈线性化方法 ,即微分几何法、逆系统法 ,提出无论在单变量还是在多变量仿射非线性系统中 ,微分几何法与逆系统法是一致的 ,逆系统法更直接 ,更适合于工程应用。

principal formula of integral geometry

积分几何学的主公式

Two Problems in the Differential Geometry and Integral Geometry;

微分几何和积分几何中两个问题的研究

A Proof of The Lebesgue Integral Calculus Geometry Significance;

Lebesgue积分几何意义的另一证法

Dual Kinematic Formulas on Translative Integral Geometry

平移积分几何中的对偶运动公式(英文)

PROGRESS IN GEOMETRIC INTEGRATION METHOD FOR MULTIBODY DYNAMICS

多体动力学的几何积分方法研究进展

RKMK Geometric Integration of Non-linear Partial Differential Equations;

非线性偏微分方程的PKMK型几何积分方法

FEM Analysis on Dynamic J-integral under the Influence of the Specimen Sizes.;

试件几何尺寸对动态J积分影响的有限元分析

The Computation of Mathematical Expectation and Variance of Geometivc Distribution by Integral-reciprocal;

用积分-求导法求几何分布的期望与方差

Integral Calculus: definite and indefinite integrals; fundamental theorem of calculus; techniques of integration; Taylor's Theorem; applications in geometry, physics and engineering.

积分学：定积分与不定积分、本定理、积分的方法、勒定理、分学在几何、理和工程学上的应用。

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

Geometric Structure of One Type Integral Manifold Passing Limit Cycle in the Complex Domain;

复域上一类过极限环的积分流形的几何结构

After their work, the calculus was no longer an appendage and extension of Greek geometry.

经过他们的工作，微积分不再是古希腊几何的附庸和延展。

He had recovered from a slow start to the extent that he taught himself advanced calculus and geometry textbooks.

他已从缓慢的开端发展到能依靠教科书自学高等微积分和几何学。

Geometrically Nonlinear FEM Analysis of Shell and Three Dimensional Elasto-dynamic Time Domain Direct Integral BEM

壳体几何非线性有限元与三维弹性动力时域直接积分边界元法

Application of the Quadrilateral Area Coordinate Method: Geometrically Nonlinear Analysis for Plane Problem;

四边形面积坐标方法在平面几何非线性分析中的应用研究

Exact Solution for a Harmonic Oscillator with a Time-dependent Inverse Square Potential by Path Integral Method and Its Geometry Phase;

具有含时平方反比项的谐振子的路径积分求解及其几何相

The Coverage of the Largest Component in Random Geometric Graphs with Applications in Sensor Networks

几何随机图大连通分支覆盖面积及其在传感器网络中的应用

3D Five-Direction Tubular Braided Composites Geometric Modeling and Fiber Percentage Prediction

三维五向管状编织物的几何建模及纤维体积百分含量预测