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1)  zero one distribution
零一分布
2)  distribution of zeros
零点分布
1.
The distribution of zeros for nonlinear difference equations with continuous argument and positive and negative coeffici- ents is studied and sufficient conditions for oscillation of the equations are obtained.
研究具有正负系数的连续变量的非线性差分方程解的零点分布,并得到了方程所有解振动的充分条件,所得结论改进和推广了已知的一些结果。
2.
In this paper,we investigate the distribution of zeros of the solutions of second order linear differential equations ″+A(z)=0 with transcendental coefficients.
本文研究具有超越整函数系数的二阶线性微分方程f″+A(z)f=0的解的零点分布。
3.
The distribution of zeros for nonlinear differential equations with positive arguments by method of polynomial series,and some more explicit conditions to oscillate are given.
通过构造多项式序列的方法,建立了非线性时滞方程的解的零点分布,给出了较为广泛的振动条件。
3)  the distribution of zeros
零点分布
1.
Thesis is mainly concerned with the oscillatory and asymptotic behavior for second-order nonlinear ordinary differential equations,higher order nonlinear functional differential equations and dynamic equations on time scales,and the distribution of zeros of solutions of first-order functional differential equation and the neutral functional differential equation.
本篇博士论文讨论了二阶非线性常微分方程、高阶非线性泛函微分方程以及时标(Time Scales)上的动态方程等的振动性态和渐近性态,并进一步研究了一阶泛函微分方程和中立型微分方程解的零点分布。
4)  null distribution
零分布
1.
For the multivariate repeated measurement experimental model with equiv- ariance and equicovariance matrix,asymptotic null distributions and non-null distributions of likelihood ratio test statistic are given,and the power are analyzed.
给出该检验在原假设下的渐近零分布和在备择假设下的渐近非零分布,并就检验的功效进行了分析。
2.
After stating some properties ofthe likelihood ratio statistic, we show that the null distribution is a mixture of X2-distributionswhen the likelihood ratio statistic is a convex function of the observations.
在考察了似然比统计量的性质后,表明了只要似然比统计量是观察值的凸函数,则似然比统计量的零分布是X2-分布的混合,而此前的结果是仅当零假设或备择假设形成线性空间时才可用。
3.
At the same time, we find that likelihood ratio test for many upper outliers is equivalent to Dixon-type test, and derive the exact null distributions of the tests which can compute very easy.
文中讨论了均匀样本U(a,b)中a已知b未知和a与b均未知情况下的多个上(下)异常值的似然比检验,并证明了多个上异常值的似然比检验就是Dixon─型检验,同时还求出了检验的较易计算的精确零分布。
5)  non-null distribution
非零分布
1.
For the multivariate repeated measurement experimental model with equiv- ariance and equicovariance matrix,asymptotic null distributions and non-null distributions of likelihood ratio test statistic are given,and the power are analyzed.
给出该检验在原假设下的渐近零分布和在备择假设下的渐近非零分布,并就检验的功效进行了分析。
6)  Zero distribution
零点分布
1.
In this paper, we shall study the zero distribution of E and get some results on zero-filling discs of E.
本文研究E的零点分布,建立E的零点充满圆的一些结果。
补充资料:函数零点

我们把函数y=f(x)的图像与横轴的交点的横坐标称为这个函数的零点,即方程的根。

f(x)的零点就是方程f(x)=0的解。这样就为我们提供了一个通过函数性质确定方程的途径。函数的零点个数就决定了相应方程实数解的个数。

若函数y=f(x)在闭区间[a,b]上的图像是连续曲线,并且在区间端点的函数值符号相反,即f(a)·f(b)<0,则在区间(a,b)内,函数y=f(x)至少有一个零点,即相应的方程f(x)=0在区间(a,b)内至少有一个实数解。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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