外微分

Finsler几何中的外微分法

The Exterior Differential Method in Finsler Geometry

介绍了外微分、Hodge星算子和余微分，提出了广义微分的统一形式。

Exterior differential , Hodge star-operator and residual differential are introduced , and the unified form of generalized differential is put forward in this paper .

Maxwell方程组的外微分形式

Exterior differential forms of Maxwell ' equations

用E.Cartan的外微分系统理论，研究了R3中一族（或两族）曲率线为球而曲线的曲面的模空间。

In this paper we study the moduli space of surfaCes with one family ( or two families ) Of spherical lines of curVature in R3 by use of E. Cartan 's theory of exterior differential systems .

以李群的Maurer-Cartan形式的外微分为辛结构，给出了辛李群的概念，进而讨论了辛李群的特殊性质。

We have taken exterior differential to Maurer-Cartan form of Lie Group as symplectic structure and given the definition of Symplectic Lie group , further we have discussed the special properties of Symplectic Lie group .

利用外微分形式与矩阵的外代数等工具，将双特征Beltrami方程转化为一个非齐次的p-调和方程，转化过程中只用到加于特征矩阵的一致椭圆型条件。

By using the outer differential forms and the outer algebra of matrices , we deform the Beltrami equation with double characteristic matrices to a nonhomogeneous p-harmonic equation , in which we only use the uniform elliptic condition of the characteristic matrices .

广义相对论中理想流体的外微分方程

The Out-differential Equation of Ideal Fluid in General Theory of Relativity

用外微分运算分析具有分布参数的物理学系统

Analysis of Physical Systems with Distribution Parameters Using Out Differential Method

微分形式论与外微分应用于电动力学的探讨

Applications of Differential Form Theory and Exterior Differential to the Electrodynamics

外微分推导热力学关系式的统一方法

A Unified Way of Using Exterior Differential method in Deriving Thermal Relations

外微分和场的正交曲线坐标形式

Exterior Differential and Field 's Orthogonal Curvilinear Coordinate Form

外微分形式在热力学上的应用

The uses of exterior differential form on thermodynamics

圆外微分多项式理论与微分方程解的零点

Theory of differential polynomials in the exterior of a circle and the zeros of solutions for differential equations

从热力学第二定理出发，利用外微分构造了熵、焓以及吉布斯函数的表达式。

Expressions of entropy , enthalpy and Gibbs function are formulated by exterior differential derived from second law of thermodynamics .

应用微分几何的外微分分析对静电场、静磁场和时谐电磁场定解问题的唯一性定理进行统一表述和证明。

The uniqueness theorem for electrostatics , magnetostatics and time harmonic fields is unified and proved by language of differential geometry .

研究了器件温度对于激光阈值电流、外微分量子效率和输出波长的影响。

The effects of device temperature on the laser threshold current , external differential quantum efficiency ( DQE ), and output wavelength are also investigated .

本文研究光学特征函数，利用外微分运算，由光学特征函数导出了光的辛结构性质。

In this paper characterstic function of optics was studied and property of symplectic structre was deduced from the characteristic function by using the opertion of exterior differentiation .

探讨应用外微分、霍奇星算子、余微分及拉－贝算子表述电磁理论中的二阶微分方程。

An inquiry is made on the expression of second-order differential equation in electromagnetic theory by applying exterior differential , Hodge star operator , codifferential , and Laplace-Beltrami operator .

在复函数论的教学改革中，利用外微分工具简洁地证明了著名的柯西定理和公式。

In course of the education reform of complex function theory , the author uses the exterior differential tools shortly to prove well & known Cauchy theorem and formulas .

相比于传统的数学推导方法，外微分方法能更简明、直接地分析具有分布参数的物理学系统。

Through applied to physical systems with distribution parameters , this effective method shows that physical systems can be analyzed more concisely and directly than tradition mathematics deducing method .

介绍了并联机器人雅可比矩阵的两种新式解法：矢量构造法、基于符号运算的微分构造法。从热力学第二定理出发，利用外微分构造了熵、焓以及吉布斯函数的表达式。

Two Methods of computing the Jacobian matrix are introduced . Expressions of entropy , enthalpy and Gibbs function are formulated by exterior differential derived from second law of thermodynamics .

在精确平稳解方面，本文利用外微分方法和逆解法得到多自由度强非线性随机系统的具非能量依赖的精确平稳解。

By using exterior differentiation and inverse method , exact stationary solutions of strongly nonlinear MDOF systems subject to Gaussian white noises are obtained , which are generally independent of energy .

用外微分形式来表述物理定律和推导物理公式形式简洁、优美，而且外微分运算是自然和自动的，不受空间维数的限制。

Physical laws can be given neat and concise formulation in terms of exterior differential forms . Its calculus is not only natural and automatic but also unrestricted by space dimensions .

三有源区激光器外微分量子效率达2.2,2A驱动电流下单面未镀膜激光输出功率高达2.5W。

External differential quantum efficiency as high as 2.2 and light power output of 2.5 ? W per facet ( under 2A drive current ) are achieved from an uncoated novel laser device with three active regions .

把绝对外微分引进流体力学后，得到了广义相对论中理想流体的基本方程，这些外微分方程既满足了相对论的协变原理，又保证了某些物理量的反对称性。

The absolute out-differential is introduced into fluid mechanics , we obtain the basic equations of ideal fluid in general theory of relativity , which satisfy the covariant principle of relativity and also satisfy the anti-symmetry of some physical quantities .

本文利用微分形式与矢量场的内积（缩并），以及外微分形式中的Poinare逆定理，建立了从电荷守恒定律到麦克斯韦方程组的数学联系。

In this paper , the mathematical connection from the conservation law of elec-tric charge and Maxwell 's equations is established by unsing the interior product ( contraction ) of a differential form by a vector field and converse of Poincare 's lemma in exterior differential form .

研究结果表明，除Pb、Mn较差外，微分光谱模型的估测效果均较好，相对偏差大多低于15%。

The findings indicated that , except Pb and Mn , the differential spectrum model has good estimating effect , the relative deviation mostly is lower than 15 % .

高炮外弹道微分方程组的实时解算一直是火控领域中一项重点的研究课题。

The real-time solution for differential equations of exterior ballistic on antiaircraft artillery is an important research problem in fire-control domain .

本文设计了一种能模拟工业涓流床反应器操作条件的外循环微分反应器。

An external recycle differential reactor capable of simulating the operating conditions of commercial scale trickle bed reactors has been designed .

根据Revlon材料的一维本构方程及索的运动方程导出了粘弹性索在重力作用下，面内和面外的偏微分运动方程。

Based on one dimensional constitutive equations of Revlon materials and the motion equations of the cable , the partial differential equations of the viscoelastic cable in inner and outer of plan under the gravity are investigated .