查询词典 monotone approximation

In Chapter 1, two solutions to the elliptical boundary value problem have been constructed through a monotone iterative process, and they might be identical. In Chapter 2, the author expresses the local solution to the parabolic initial boundary value problem taking advantage of Green function. In Chapter 3, the asymptotic solution to the initial value problem of Duffing equation is obtained and the method for finding the approximate solution to the inverse problem is put forward.This paper is planned with a view to the author's research means.

从研究结果看：第一章通过单调迭代过程构造出椭圆型方程的边值问题的两个解，并且指出二者可能是同一个解；第二章利用格林函数给出了抛物型方程的初边值问题的局部解的解析表达式；第三章中，先对Duffing方程的初值问题写出解的渐近展开式，再对其反问题提出一种求近似解的方法。

I wish to teach, or rather, to inspire the bandsman by this score about my attitude, and method, as well as all necessary skills in creating it. They should then try to forget all the monotone and sweet notes on the score, and on the basis of the remaining images in their mind, to consummate in cooperation with other bandsmen this music work that requires imaginative recreation.

我希望教会，或者说让乐手通过这些音符熟悉我这次创作上的态度、方式，以及种种必需掌握的技巧内容；随后他们应当尽量忘记乐谱上面的所有单调而甜美的记谱，用残留的意象来同其他乐手合作完成这部需要填充的作品。

If shape handles are given, the individual arc is proved to be monotone in barycentric coordinates system, and it can be convex-preserving through adjusting four handles.

若给定满足条件的形状参数，可以证明其在重心坐标系统中是保单调的，同时还可以调整这些形状参数使它保凸。

And I drew a basket and some cloth in the layout as a whole in the picture will not be too monotone.

而我就加画了一个篮和一些布在画中令整个布局不会太单调和起了衬托的作用。

The basic idea is as follows: first, a kind of plane α-B-spline interpolation curve with a shape control parameter a is constructed; then, by converting the first derivatives of the curve into Bernstein polynomial, the positive conditions of Bernstein polynomial can be used to get the necessary and sufficie nt conditions for the monotonicity of α-B-spline interpolation curves, i.e., the range of the parameter a. Therefore, monotone-preserving interpolating curves can be obtained succinctly.

其基本思想是：首先构造带有形状可调参数的一类平面(-B样条插值曲线，再把其一阶导矢的两个分量分别转化为Bernstein多项式，从而利用Bernstein多项式的正性条件，得到此曲线为单调的充要条件，即形状参数的取值范围，简单、快捷地实现此参数样条曲线的保单调插值。

The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method, h is proved that boundary value problem has at least one positive solution under suitable conditions.

研究带p-Laplace算子的非线性微分方程的多点边值问题解的存在性，应用单调迭代，给出了这类边值问题存在解的充分条件，还给出了向正解靠近的单调集。

This paper gives a concept of Lebesgue-Stieltjes measure in monotone increasing left continuous bounded function and discuss some properties.

以单调递增左连续有界函数 f 给出了 Lebesgue-Stieltjes测度的概念，进一步讨论了由它产生的若干相应的性

It shows that all properties of fuzzy number and fuzzy-valued function which relating to distance can be obtained by this family of standard bounded monotone function.

进而，模糊数空间和模糊值函数空间上的与距离相关的所有性质都可以在一类单调函数类上得到。

We get the two edge blocking convergencetheorem of sequence of fuzzy numbers and the almost everywhere cut-convergence theorem ofmonotone bounded sequence of fuzzy numbers, and point out that monotone bounded sequenceof fuzzy numbers may not cut-converges and converges.

讨论了模糊数列的收敛、截收敛、几乎处处截收敛性，得到了模糊数列收敛的夹逼定理及单调序有界模糊数列必几乎处处截收敛定理，并指出了单调序有界模糊数列未必截收敛、收敛。

We give a brief proof of the existence theorem of Supremum and Infimum of a bounded set of fuzzy numbers given by Wu cong-xin and Wu chong in [30] . It is used to establish the monotone convergence theorem and the nest theorem of closed intervals on E〓,τ

给出了吴从忻、吴冲[30]得到的模糊数集的确界存在定理的一个简洁证明，并利用此定理在空间E〓，τ(l中建立了模糊数序列的单调收敛定理和闭区间套定理。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。