大学：微积分，微分公式，线性代数，概率和统计，离散数学。
College: Differential and Integral Calculus, Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math.
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.
积分上限函数加强了微分和积分之间的联系，是定积分基本公式的理论基础。
The integral upper limit function strengthened between the differential and the integral relation, is the definite integral fundamental formula rationale.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
利用所得到的结果，分析了数值微分法和经验公式的计算精度。
By use of the result, the calculating precision of numeric differential method and empirical formula is analyzed.
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.
本文从理论上讨论微分学第二重要极限公式的一个使用方法。
In theory the paper discusses a usage of an important limit formula of differential calculus.
用有限体积法推导了通用微分方程的离散形式，并导出了各种离散系数的计算公式。
It derives a discrete type of the common differential equations by the use of the finite volume method, and the formulas for the calculation of the coefficients.
建立了深水环境下涡激振动的非线性微分方程，给出疲劳计算公式，并对比了浅水控制方法与深水控制方法计算的临界跨长。
This paper establishes nonlinear differential equations, gives the fatigue equations and compares the critical spanning of pipeline of calculated results from the shallows and deep water.
利用微分几何和啮合原理推导出该机构的点啮合的诱导曲率方程，给出了接触域大小的计算公式。
With the differential geometry and engagement theories, induced curvature formulas of point engagement were deduced, and the formula of the local contact areas was given.
对可重构模块化机器人逆运动学，我们采用局部指数乘积公式和微分运动学公式而建立的逆运动学数学模型。
The inverse kinematics model of reconfigurable modular robots is based on the local product-of-exponential formulas and differential kinematics equations.
本文对几类二阶非线性常微分方程，利用首次积分求得了其通积分公式。
This paper has found general integral formulas of some types of two - order nonlinear ordinary differential equations by first integral.
利用极限理论，给出了复函数微分中值公式的“中值点”的渐近性的简洁证明。
By using the limit theory, we discuss and prove the asymptotic properties of mean value point in differential mean value formula for a complex function.
接着，仿微分几何的曲线论，建立了基本公式和唯一存在定理。
Then the basic formulae and the theorem on its unique existence have been established as doing in the curve theory in Differential Geometry.
利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。
Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.
利用欧拉公式，得到曲线演化的偏微分方程。那两条曲线将在想得到的边界停止。
With Eulerian formulation the partial differential equations (PDEs) of curve evolution are given and the two curves will stop on the desired boundary.
给出了常系数非齐次线性微分方程特解的一种新的公式化求解方法。
This paper given the formula of solution for nonhomogeneous linear differential equation with constant coefficients.
由微分几何学原理得到计算主曲率的一般公式，克服了由薄板小扰度弯曲理论得到的主曲率计算公式的局限性。
The general equations of principal curvature derived from differential geometry overcame the limitations of previous equations derived from the theory of elastic thin plate with small deflection.
应用微分法作近似计算，推导出了齿轮加工中计算第二次径向进刀量的简易公式。
Makes the approximate calculation by the use of differentiation, and puts forward the simple and easy formula of second feeding in processing gear.
利用倒向随机微分方程和鞅方法，直接得到欧式期货未定权益的一般定价公式以及套期保值策略。
The pricing formula and hedging strategy of European Future contingent claim are obtained by back ward stochastic different equation and martingale method.
本文使用全微分法和常数变易法，从不同角度给出伯努利方程通解的公式。
In this paper, using total differentiation method and variation of constants, we give general solution formula of Bernoulli equation with different methods.
利用直接求微分的方法，给出了右伸长张量率的不变性表示公式。
An invariant formula for the right stretch tensor rate is given by a differential method directly.
本文给出了一个二阶常系数线性非齐次微分方程的特解公式。
This paper deals with the formula of particular solution to 2-order linear inhomogeneous differential equation with constant coefficients.
利用倒向随机微分方程和鞅方法，讨论国外股票欧式未定权益的一般定价问题，获得了一般定价公式。
The pricing formula of European foreign stock contingent claim are obtained by backward stochastic different equation and martingale method.
对冷弯型钢的纵向变形过程进行了力学分析，得到了变形微分方程，求得了转动角的理论公式，并对其变形形状进行了分析计。
Through the mechanical analysis, the differential equation for the longitudinal deformation of cold forming steel is derived, and the formula for longitudinal rotation Angle is obtained.
采用降阶和特征根 （欧拉 ）方法 ，给出了一类三维二阶常系数微分方程组的通解公式 ，并通过算例与拉氏变换法进行了比较。
With the variable replacement method, general solution formulae were given to the linear differential systems with complex constant coefficients and that with a class of complex variable coefficients.
本文受此启发，运用风险中性定价原理，利用偏微分方程的方法，求出了四类汇率联动期权的定价公式，为实践者提供了理论上的参考价值。
In this paper, according to the risk neutral pricing theory, the reciprocal stochastic differential equations and the general pricing formulas of the four types of cross-cur.
本文受此启发，运用风险中性定价原理，利用偏微分方程的方法，求出了四类汇率联动期权的定价公式，为实践者提供了理论上的参考价值。
In this paper, according to the risk neutral pricing theory, the reciprocal stochastic differential equations and the general pricing formulas of the four types of cross-cur.
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