1)Differential manifold微分流形
1.A kind of differential manifold,circle,was defined as the parametric space and non-uniform B-splines defined on the unit circle were treated as base functions.为了方便地构造真正意义上的光滑封闭参数曲线,以微分流形———圆为封闭参数曲线的定义域,以非均匀B样条为定义域上的基函数,设计了用于构造封闭参数曲线的控制顶点、控制顶点对应的参数值及节点矢量的确定方法和曲线上一点的三维坐标值计算方法;以作均匀有理B样条(NURBS)曲线常用的控制技术如夹直线段、在曲线上形成尖角等检验该算法与NURBS方法的兼容性。
2.In this paper we give a geometricaly explicit and intuitive explanation of the definition of tangent vector on differential manifold.给微分流形上切向量定义以明确的直观几何解释,更清晰地显示出微分流形上一点切向量的定义实际上是Euclid空间中曲面上一点处切向量定义的很自然的推广。
3.In this paper,Stokes theorem,the fundamental theorem of integral on the differential manifold,is presented using the theorem,the classical Green formula,classical Gauss formula and the classical Stokes formula turn into a formula with the same form.给出了微分流形上积分的基本定理——Stokes定理,并利用该定理把关于二重积分经典的Green公式、三重积分经典的Gauss公式以及第二型曲面积分经典的Stokes公式统一起来,成为在形式上是相同的一个公式。
英文短句/例句
1.Approach to Actions on Differentiable Manifolds by Finite Groups;有限群在微分流形上作用性质的研究
2.Some remarks on differential manifolds and their applications;微分流形及其应用的某些注释(英文)
3.Fundamental Theory about Fully Symmetric Parallel Mechanism with Lower-Mobility Based on the Theory of Differential Manifold;基于微分流形的全对称少自由度并联机构基础理论研究
4.partial differential operator on manifold流形上的偏微分算子
5.Numerical analysis of flow and heat transfer characteristics of Y-fractal-link micro channel networksY形构形微通道流动换热特性的数值分析
6.Electro-osmotic Flows in Micro Irregular Channels;微小异形截面槽道内电渗流动特性分析
7.On Local Differential Geometry of Submanifolds in Anti de Sitter 3-space3维Anti de Sitter空间中子流形的局部微分几何
8.A Differentiable Sphere Theorem with Positive Ricci Curvature具有正Ricci曲率流形上的一个微分球定理
9.Analysis on Electrical Sliding Wear Morphology of Cu-base Powder Metallurgy铜基粉末冶金载流摩擦磨损微观形貌分析
10.alternating differential of differential form微分形式的交错微分
11.Fractal characteristics of surface roughness and its effect on laminar flow in microchannels表面粗糙度的分形特征及其对微通道内层流流动的影响
12.fluxional calculus【数】流数术(微积分)
13.On Imbedding of Semimartingale Stochastic Differential Equations on Compact Smooth Manifolds into Euclidean Spaces关于紧光滑流形上半鞅随机微分方程在欧氏空间的嵌入
14.Stability of Plane Poiseuille Flow: Effects of Micro-scale, Viscosity Stratification and Wavy Wall;平面Poiseuille流的稳定性：微尺度、粘性分层及波形壁的影响
15.A Microcosmic Economic Analysis on Formation and Developing Mechanism of Container-through-transport by Multi -ways and Integrated Logistics System;集装箱多式联运与综合物流系统形成与发展机理的微观经济分析
16.Distribution of Micronutrients in Soils as Affected by Landforms in a Loessial Gully Watershed黄土沟壑区小流域不同地形下土壤微量元素分布特征
17.Study on Numerical Simulation of Electroosmotic Flow in Trapezoidal Microchannels;梯形微流道中电渗流的数值模拟研究
18.hydrodynamical differential equation流体动力学微分方程
相关短句/例句
differentiable manifold微分流形
1.Optimization algorithms on differentiable manifolds;微分流形上的最优化算法
3)closed differentiable manifold闭微分流形
4)the oriented differentiable manifold定向微分流形
5)orientable differentiable manifold可定向微分流形
6)covering differentiable manifold覆盖微分流形
延伸阅读
微分流形微分流形differentiablemanifold一类拓扑空间。除具有通常的拓扑结构外，还添上了微分结构。微分几何学的研究是建立在微分流形上的。三维欧氏空间R3中的曲面是二维的微分流形，但微分流形的概念远比这广泛得多，非但维数不限于二维，而且流形也不必作为n维欧氏空间Rn中的曲面来定义。此外，一般微分流形也不一定有距离的概念。
