1) Integrate Sequence
积分次序
2) order of deposition
沉积次序
3) higher order integrals
高次积分
1.
Construction theorems of second and third order ordinary differential equations which admit higher order integrals are formulated by use of the method of determining higher order integral factors and higher order integrals for ordinary differential equations,and by use of the characteristic set method as well.
本文利用确定高次积分因子的引理与确定对应的高次积分的公式以及微分特征列集(吴)方法,给出了拥有高次积分的二阶三阶常微分方程结构定理。
2.
The higher order integrals of general ordinary differential equations (ODEs) and their determination by Characteristic set method (Wu s method) are considered.
考虑了一般微分方程(组)高次积分和其微分特征列集(吴方法)机械化确定算法。
4) first integral
首次积分
1.
Let x~2+y~2+z~2=h(>0) be the first integral of the perturbed system,then the existence of limit cycles on the spherical surface was discussed by using averaging method and center manifold theory.
对球面族上的平行流进行了一般的2n+1次齐次扰动,在x2+y2+z2=h(>0)是扰动系统的首次积分的情况下,运用平均方法及中心流形定理,给出了扰动系统在球面上出现极限环的一般情况。
2.
Under general conditions, a method for solving first integrals of the 3-rd order autonomous system is given based on the generators of two admitted single-parameter Lie groups.
在较一般的条件下,对3阶自治系统给出利用系统所接受的两个单参数李群的生成元计算首次积分的方法。
5) successive integral
逐次积分
1.
Throush the interlace series type linear differential equation,coefficient containing three negative number of times,power function and arrangement number can be changed into the linear differential equation of successive integral.
通过把系数含有负三次幂函数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程,找出了求这类方程通解的方法与理论,把所得定理给出了严格的证明,并将其推广,同时通过实例介绍了它的应用。
2.
Pass linear differential equation xy~((n))+ny~((n-1))=f(x) change into the linear differential equation of successive integral has been found witty the form that untied,have gicen strict proof,and to popularize it gets to know xy~((n))+(x+n)y~((n-1))+(n-1)y~((n)-2)=f(x) to untie.
通过把线性微分方程xy(n)+ny(n-1)=f(x)化为可逐次积分的线性微分方程,找出了它通解的形式,给出了严格的证明,并将它推广,得到xy(n)+(x+n)y(n-1)+(n-1)y(n-2)=f(x)的通解。
3.
By transforming the interlace series type linear differential equation with coefficients containing negative second order power function and arrangement number into the linear differential equation of successive integral,the theory and method for the general solution of this kind of equation are determined.
通过把系数含有负二次幂函数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程,找出了求这类方程通解的方法与理论,所得定理给出了严格的证明,并通过实例介绍了它的应用。
6) quadratic integral
二次积分
1.
A preliminary probe into the method of exchanging the order of quadratic integral;
交换二次积分次序方法初探
补充资料：E-Z构型次序规则(E-Zsequencerule)
【E-Z构型次序规则】(E-Zsequencerule)顺反异构体的命名规则之一。正式公布于`IUPAC`系统命名法1968年暂行规则中。其主要特点是采用原子序数的优先次序排列方法，即比较顺反异构体中双键原子上所链接的基团，如果两个位次较大的基团位于双键同侧，称为`Z`式（`Z`是德文Zusammen的字首，意即在一起）；如果两个位次较大的基团位于双键异侧，称为`E`式（`E`是德文Entgegen的字首，意即相反的）。所连基团位次排列的
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条