查询词典 approximate error

The problem isdiscussed and the error caused by using the approximate formula proves to be superior to that caused by using the homogeneous Taylor's polynomial and an expression is proved to be similatr to the remainder in Taylor's formula.

由讨论这个问题出发，证明了用这种近似式产生的误差，优于用同阶Taylor多项式产生的误差，并给出这个误差的一个类似于Taylor公式余项的表达式。

The meaning of the majority inclusion relation shows an indiscernible category will be taken within an allowed classification error,β. The majority inclusion relation is more closed to the nature and can get more approximate knowledge.

因此在变项准确性约略集合中利用众数决纳入关系的主张，以一个受控制的不正确比例－β，使不可区分关系分类过程中能更贴近现实生活的允许一些误差，而且能藉此获得合适的属性和知识。

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。

In this article, the existence and uniqueness of the generalized solution of this boundary value problem are discussed, the existence and convergence of Galerkin's approximate solution is proved, and Linear dependence of the the error bound on M~2/(1-M~2) is also proved, where M is Ma...

本文证明了这类方程弱解的存在和Galerkin逼近解的存在和收敛，并且还给出了有限元解的误差估计，指出误差界线性地依赖于M~2/(1—M~2)。M为马赫数。也就是说，当流速接近音速时，有限元解的误差将无法控制。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

Varnhorn applied the method of approximate approximation to functions which are defined on compact intervals and investigated the error.

Varnhorn给出了一维紧区间上函数的近似逼近方法，而且还可以控制近似逼近的截断误差。

A model of an additive mixture of Gaussian and non-Gaussian impulsive noise is adopted, and the asymptotical solution of the closed-form expression for the average symbol error rate of orthogonal space-time block coding over Rayleigh flat fading channel is derived by means of the Moment Generating Function with the approximate equivalent Multiple-Input Single-Output model of mixture noise.

采用脉冲和高斯加性混合噪声模型，利用矩母函数分析方法，通过建立多发单收近似等效模型，推导出Rayleigh衰落信道下MISO空时分组码误符号率闭式表达式的渐近解。

Meanwhile, we also provide methods for computing the weighted polar decomposition, and study error bounds for the approximate generalized positive semidefinite polar factor and perturbation bounds for weighted polar decomposition in various norms.

针对这个新的矩阵分解，我们证明了其唯一性定理，给出了其唯一性条件，讨论了其极因子的最佳逼近性质；同时，我们还探讨了矩阵加权极分解的计算问题，研究了由迭代算法引起的极因子的误差界，极因子在各种范数下的各种形式的扰动界等。

A truncated Volterra series expansion, whose polynomial number can be determined by error criteria, was used to model the biomedical signal component. Based on Volterra we proposed an adaptive filter that could approximate and extract the signal in noise corrupted ECG data efficiently.

利用误差准则确定的Volterra序列展开能很好模拟生物信号成份，而基于Volterra序列的自适应滤波器能有效模拟ECG成份从而达到去除信号中噪声的目的。

The learning algorithm utilizes shape functions to approximate influence functions in integral transforms and estimate the control input to reduce repetitive error.

学习法则的补偿项是使用形状函数来趋近积分项中的影响函数，并且估测控制输入。

When this condition occurs, inbound replication with the source partner is stopped on the destination domain controller and event ID 2042 is logged in the Directory Services event log.

计算机密码学是研究计算机信息加密、解密及其变换的科学，是数学和计算机的交义学科，也是一门新兴的学科。

Instructions: click on the thumbnails to see a larger image, then use the left-right arrow keys to scroll through the slideshow.

使用说明：滑鼠点在小图上即可放大观赏。开启后键盘左右键可用来换照片。