查询词典 weierstrass approximation theorem

In this paper, a region approximation idea that means using a "fat curve" with a width to approximate the offset curve is proposed, and a complete set of algorithms to approximate offset curve using disk Bézier curve are given and implemented. In the algorithms, the optimal and uniform approximate curve of the offset curve as the central curve of the Disk Bézier curve is found by using Remez method, and then the upper optimal and uniform approximation principle is proposed to compute the error radius function of the Disk Bézier curve. Thus, the whole Disk Bézier curve can be obtained. In the end of this paper, the approximate effect of the Disk Bézier curve is not only analyzed and assessed, but also some specific examples are provided.

提出用一条带宽度的"胖曲线"来逼近上述等距曲线的区域逼近思想，并建立与实现了圆域Bézier曲线等距逼近的整套算法，包括应用Remez方法求出等距曲线的最佳一致逼近曲线作为圆域Bézier曲线的中心曲线，提出上控最佳一致逼近的原理求出圆域Bézier曲线的误差半径函数，以及确定整条圆域Bézier曲线，最后还对该圆域Bézier逼近的效果做了分析和考核，并给出了一些具体实例。

The conclusion is drawn through analyze and comparison between the solutions of zero and first order, second and first order that the particle drifts in the vertical direction of the magnetic field and its crosswise gradient in the approximation of first order. While the particle makes superimposed circle movement of uniform velocity in the approximation of second order.

通过分析比较1阶近似解与0阶近似解；2阶近似解与1阶近似解，得出由于1阶近似而引起粒子在与磁场方向以及磁场横向梯度方向垂直的方向发生漂移；由于2阶近似使得粒子在xy平面内做12W、3W、4W、5W、6W叠加的匀速圆周运动。

The TST was applied to multi-scaling vector to increase it's approximation order, and with PR condition, the dual of transformed multi-scaling vector was obtained. Then the special TST was taken for this dual, the dual of original multi-scaling vector with higher approximation order obtained, finally the multi-wavelet function with higher vanishing moment maybe constructed.

我们先对已知的尺度向量进行双尺度相似变换，以提高其逼近阶，再求出变换后的尺度向量的对偶，对这个对偶再进行特定的双尺度相似变换，就可得到原尺度向量的有高逼近阶的对偶，从而可能得到具有高阶消失矩的多小波函数。

In Chapter 1, we will briefly introduce Diophantine approximation and metric Diophantine approximation over the real number field and state some results which are important for our work.

在第二章，我们将介绍在正规Laurent级数体上的Diophantine逼近。第一节罗列了一些定义及我们即将使用的符号。

In the framework of the density functional theory, the structure of the α modification of zinc diphosphide (α-ZnP2) at the pressure from zero to 40 GPa is investigated by using molecular dynamics simulation, in which both the local density approximation and the generalized gradient approximation are employed.

利用密度泛函理论，分别采用广义梯度近似和局域密度近似对α-ZnP2在0~40GPa范围内的结构进行相关的分子动力学模拟，得到了它的压强-体积关系。

Based on conventional fuzzy control theory, an analysis of triangular partition fuzzy control is given to present several properties of TPFC: the fuzzy approximation mechanism, the approximation accuracy, entropy equalization, zero-error reconstruction and interpolative reasoning.

在研究经典模糊控制的基础上，本文分别从近似机理、精度分析、等熵设计、无偏差重构以及插值推理等不同角度对三角划分模糊控制进行了较系统的分析与研究，得出了用于HIFC设计与学习的一些重要结论。

The approximation solution of the biomathematical model of muscular blood vessel under the condition of the nonresonant case is obtained. The expansion method for two variables of perturbation theory is used and the approximation solutions are given to the biomathematical model of muscular blood vessel under two cases.

求得了具有小阻尼、硬外激励的肌型血管生物数学模型在非共振情形下的一次近似解，并利用两变量展开法，经方程演化，求得了具有小阻尼、弱外激励的肌型血管生物数学模型在非共振和共振两种情况下的首次渐近解。

We study some important topics such as the L_p-approximation, pointwise estimate and copositive approximation.

无论是所得结果还是所用的方法，都是对已有结果和方法的改进和创新。

We calculate its radialization correction and make the correlative discussion,obtain the cross section of electron-antielectron collision under chain approximation,and compare the tree-level cross section with the cross section under chain approximation.

对其辐射修正作了相关的计算和讨论，从而得到了电子-正电子碰撞在链近似下的散射截面，并与最低阶的散射截面作了比较

While approximation model is very close to actual model,and the precision of approximation is very high,the result of optimization is significant,and authentic;contrarily,the result of optimization is insignificant,and unauthentic.

近似模型和真实模型相差不大，近似的精度很高，优化出的结果就是有意义的，可信的；反之，优化出的结果就是没有意义的，不可信的。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。