微分代数是带电粒子光学中新近出现的一个很有前途的数学工具。
Differential algebra is a new mathematical method and a promising tool in charged particle optics.
本文提出求解微分代数方程的一类并行算法，进行误差估计。
In this paper, a class of parallel algorithms for the problems in differential algebraic equations are proposed. The errors of the algorithms are estimated.
描述许多轨道控制问题的方程通常构成非线性半显式的微分代数系统。
The equations which describe many trajectory control problems naturally form nonlinear semiexplicit differential algebraic systems.
最后针对微分代数模型的励磁系统构造了存储函数，使得系统无源而保持内部稳定。
In the end the storage function was constructed for excitation system with differential algebraic model.
时域仿真法利用系统非线性微分代数方程为数学模型，可以充分考虑系统的非线性性质。
Time Domain Simulation USES the dynamic and algebraic equations which are definitely non-linear. This method can take all the non-linear proprieties of the power system into consideration.
多体系统进行数值仿真时，很多选择了微分代数混合方程作为多体系统动力学数学模型。
The differential-algebraic equations are often chosen as the mathematical models of the dynamics of multibody systems in order to achieve the numerical emulation for the multibody systems.
标准奇异点是微分代数方程系统区别于常微分方程系统的一个标志性的拓扑结构，具有重要的理论研究意义。
The standard singular point is an important structure of the differential-algebraic equation systems(DAEs), by which DAEs are differentiated from the ordinary different equation systems (ODEs).
可汉学院（Khan Academy） -超过1200个视频教程，内容涵盖自基础算术、代数至微分方程、物理学、化学、生物学和金融学。
Over 1200 videos lessons covering everything from basic arithmetic and algebra to differential equations, physics, chemistry, biology and finance.
习惯上拓扑学被分成点集拓扑、代数拓扑和微分拓扑三部分。
Topology is traditionally decomposed into three parts: General topology, Algebraic topology and Differential topology.
线性微分方程组可以应用线性代数中的方法求解。
Systems of linear differential equations can be handled by using the methods of linear algebra.
数量和空间在解析几何，微分几何和代数几何中都发挥作用。
Quantity and space both play a role in analytic geometry, differential geometry, and algebraic geometry.
对系统应用第一类拉格朗日方程，得到系统位形坐标的微分—代数方程组。
Apply Lagrange equation of the first kind to the system, and get a set of the differential - algebraic equations (DAEs) of its absolute coordinates.
关于两段正则曲线在公共节点处的几何连续性的问题可以从微分几何和代数的角度考虑。
The geometric continuity of two regular curves at the connection point can be discussed from differential geometry and Algebra.
数学模型用来反映过程本身各有关变量之间本质关系，它可能是代数方程、微分方程或几何曲线。
The math model is used to image the essential relation of every variable in the process, maybe the model is algebra equation, or differential equation, or geometry curve.
本文采用的研究方法有矩阵方法，代数方法和微分几何理论。
The methods used in this dissertation include matrix, algebra as well as differential geometry theory.
常系数的常微分方程变换为代数方程可以用于实现传递函数的概念。
Ordinary differential equation with constant coefficients transform into algebraic equations that can be used to implement the transfer function concept.
本文给出了一类复代数微分程组亚纯解的特征估计。
This Paper investigates the characteristic estimation of meromorphic solutions of a class of systems of complex algebraic differential equations.
我和我的朋友做了些算术和代数，得到了某一点的微分公式——这些都是他上课学过的。
My friend and I did some arithmetic, some algebra, derived the general formula for the differential at a point-all stuff he had had in the course.
最后求出多项式角动量代数的单玻色实现及其在有限维多项式函数空间的微分实现。
At last the deformed algebra's single boson operator realization and one differential realization under finite_dimensional spaces are deduced.
用代数动力学方法求得了用泰勒级数表示的局域收敛的常微分方程的精确解。
By algebraic dynamical method, the exact analytical solutions of the ordinary differential equations are obtained in terms of Taylor series with local convergent radius.
元微分算子代数的导子李代数结构。
Lie algebras of derivations of n-differential operator algebra.
在接下来的一年里我不得不上额外的几门课程，我选择在接下来的暑假修完近世代数和微分方程。
I had to take a few extra courses during the next year, and I chose reading courses in modern algebra and differential equations for the summer afterwards.
基于近代微分几何理论与李代数之上的非线性控制理论形成了一新的理论分支。
Based on modern differential geometric approach and Lie algebra, nonlinear control theory has formed a new theoretical branch.
该方法把结构振动的微分方程转化为振幅与频率的代数方程，并给出了流体力系数的经验公式。
The method transfers the structural vibration differential equations into algebraic equations and the empirical formulae about fluid force coefficients is put forward.
热力系统分析分别经历了代数运算、矩阵计算、矩阵微分等阶段。
It has been pointed out that the thermodynamic system analysis has gone through phases such as algebraic, matrix, and matrix differential calculations etc.
热力系统分析分别经历了代数运算、矩阵计算、矩阵微分等阶段。
It has been pointed out that the thermodynamic system analysis has gone through phases such as algebraic, matrix, and matrix differential calculations etc.
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