查询词典 error of first kind

Besides, we have studied deeply error of two kinds which appeared frequently in the hypothesis testing (error of the first kind and error of the second kind), including the relations to error of two kinds and its effect to the result of hypothesis testing and the effective control of error of two kinds so as to be satisfying and etc.

另外，对假设检验中经常出现的两类错误（第一类错误和第二类错误）也作了深入的探讨，其中涉及到了两类错误之间的关系，两类错误对假设检验结果的影响以及如何有效的控制两类错误使之达到令人满意的程度等。

In the second part,we have mainly discussed the error es-timates of the numerical methods for solving ill-posed problem,including the error estimate of finite-dimensional regulariza-tion method in Chapter 5,and the error estimate of regulariza-tion-spline method for solving Fredholm integral equation ofthe first kind.

在第二部分，我们主要讨论了不适定问题数值方法的误差估计，包括有限维正则化方法求解不适定问题的误差估计以及用样条正则化方法求解第一类Fredholm积分方程的误差估计，两者均是目前还未有的结果。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

It is the first article that has systemically analyzed every kind of influencingfactor which affects producer services industry in China.(3)the author reinvestigate thelinkage between manufacturing industry and producer services with the error-correctionmodel, which shows different results.(4) the impacts of the producer services sector\'sFDI on upgrading of manufacturing industry structure is also analyzed for the first time in.this dissertation.

本研究的创新之处有：(1)文章构建了产业协调发展与工业结构升级的理论框架；(2)首次系统分析了影响中国生产性服务业发展的各种影响因素及不同因素对不同区域生产性服务业发展的差异；(3)运用误差修正模型重新考察了中国生产性服务业与制造业发展间的关系，并得出新的结论；(4)本文首次研究了生产性服务业FDI对中国工业结构升级的影响。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。