1)  homogeneous
齐次的
2)  π-homogenous
π-齐次的
3)  nonhomogeneous
非齐次的
4)  the transformation of different power
非齐次的转化
5)  homogenous
齐次
1.
First,the determinant is regarded as a function of or- der n and denoted by D(n);Second,the determinant is expanded by row or by column,then the relation in both of D(n)and subdeterminants will be examined in details to set up certain a recursion,generally speaking,it must be a homogenous or a nonhomogenous recursion;fi- nally the coefficients of the general solution are found out with the aid.
给出了用递归关系方法求任意 n 阶行列式的值的一般方法:首先,把已知的 n 阶行列式看作为阶数 n 的一个函数,记为 D(n);其次,按行或按列展开这个行列式,并仔细观察存在于余子式及 D(n)里的关系,建立关于 D(n)的某一递归关系,此关系总为一个齐次的或非齐次的递归关系;最后,借助于 D(0)、D(1)和D(2)等求出递归关系的通解的系数。
6)  homogeneous
齐次
1.
Oscillatory behavior of solutions of a class of second order nonlinear homogeneous differential equation;
一类二阶齐次微分方程解的振动性
2.
The necessary and sufficient condition of separation for homogeneous Scalar Helmholtz equation is both the existence of Stackel determinant and h 1h 2h 3S=f 1(μ 1)f 2(μ 2)f 3(μ 3)in orthogonal curvilinear coordinates system.
讨论了在正交曲面坐标系中齐次标量Helmholtz 方程变量分离的充要条件是Stackel行列式存在且h1h2h3S = f1(μ1)f2(μ2)f3(μ3) 成立。
3.
The existence and uniqueness of homogeneous elliptic polyharmonic cardinal spline interpolation are proved, the remainder formula and order of approximation in LP(Rd) (1≤p≤∞)spaces are given, and the extremal problem of sobolev dass in L2(Rd) is considered.
获得Rd上齐次椭圆型Cardinal样条插值的存在唯一性,并获得Sobolev类上的函数在Lp(Rd)(1≤p≤∞)尺度下的插值误差估计,以及Sobolev类在L2(Rd)尺度下的一些极值问题的解;拓广了Laplace型的结果。
参考词条
补充资料:二阶线性齐次微分方程

二阶线性微分方程的一般形式为

ay"+by'+cy=f(1)

其中系数abc及f是自变量x的函数或是常数。函数f称为函数的自由项。若f≡0,则方程(1)变为

ay"+by'+cy=0(2)

称为二阶线性齐次微分方程,而方程(1)称为二阶线性非齐次微分方程

说明:补充资料仅用于学习参考,请勿用于其它任何用途。