查询词典 monotone increasing function

Based on the surjection of maximal monotone operators, we prove that some semilinear heat equations with weak Lipschitz nonlinear terms are exactly controllable by L〓 0, T: H〓(Ω control; Based on the critical point theorem of coercive convex functionals, we prove that some parabolic equations with Lipschitz nonlinear terms are globally approximately controllable and finite-dimensional exactly controllable by controls acting on mobile supports, and finally, we extend the results to parabolic equations in R〓.

首先利用极大单调算子的满射原理证明了半线性热方程在较弱Lipschitz条件下可通过L〓0.T；H〓(Ω控制实现精确能控。然后通过构造强制凸泛函并利用其临界点理论证明了带Lipschitz非线性项的抛物型方程可通过作用在在移动支集上的控制来实现整体近似能控与有限维精确能控，最后将整体近似能控与有限维精确能控结论推广到无界区域R〓上。

Among the windings of the violins And the ariettes Of cracked cornets Inside my brain a dull tom-tom begins Absurdly hammering a prelude of its own, Capricious monotone That is at least one definite "false note.——Let us take the air, in a tobacco trance, Admire the monuments, Discuss the late events, Correct our watches by the public clocks. Then sit for half an hour and drink our bocks.

随着小提琴的抑扬及铜号嘶哑的小咏叹调我的脑中响起了沉闷的咚咚声荒谬的敲打它自己的前奏曲，任意无常的单调那根本是一个明显的"错音"——让我们换一换空气，在烟熏的恍惚间，敬仰那些纪念碑，讨论时下新闻，跟街钟对表，然后坐上半个小时，喝点烈性的黑啤酒。

" Among the windings of the violins And the ariettes Of cracked cornets Inside my brain a dull tom-tom begins Absurdly hammering a prelude of its own, Capricious monotone That is at least one definite "false note.--Let us take the air, in a tobacco trance, Admire the monuments, Discuss the late events, Correct our watches by the public clocks.

随着小提琴的抑扬及铜号嘶哑的小咏叹调我的脑中响起了沉闷的咚咚声荒谬的敲打它自己的前奏曲，任意无常的单调那根本是一个明显的"错音"--让我们换一换空气，在烟熏的恍惚间，敬仰那些纪念碑，讨论时下新闻，跟街钟对表，然后坐上半个小时，喝点烈性的黑啤酒。

There arise many techniques in the study of existence of solution for operator equations,such as topological transversality method,upper and lower solutions method,monotone iterative method, and variation method,and bountiful results are obtained.

在算子方程解的存在性研究中产生了许多方法，如拓扑度方法、上下解方法、单调迭代法、变分方法等，获得了丰富的结果。

It is sometimes used to produce monotone underpainting for translucent oil colours.

有时也被使用于替半透明的油画制造单色调的画底色。

Monotone refers to a sound, for example speech or music, that has a single unvaried tone .

指声音的单调，例如演讲或音乐，只有单一音调。

The method of constructing arithmetic of oil system steady model for aero engine has been elaborated in this paper, which is based on the analyses of different parts characteristics that show monotone variation relationship and which introduces the notion "balanced calculation" to replace traditional iteration with vector calculus and various interpolation algorithms.

在分析滑油系统部附件的基础上，根据部附件特性单调变化的特点，提出了"平衡计算"的概念，应用向量运算方法和多种插值算法取代传统的迭代算法来构造航空发动机滑油系统稳态模型算法的思路和方法，并用该算法编制程序对发动机在海平面最大状态下滑油系统性能参数进行了验算。

Uniqueness of solution for generalized variational inequality related to strongly monotone Lipschitz mapping is shown. A sufficient condition is presented on the connectedness of solution set for the weak vector variational inequality on which the mapping is from a topological vector space X to L , where Y is also a topological vector space. The result is derived by discussing the properties of set-valued mapping induced by solution set of a scalar variational inequality related to the weak vector variational inequality.

利用拓扑向量空间到连续线性映射空间L的映射的弱向量变分不等式和与之相关的标量型变分不等式解集的关系，得到标量型变分不等式解集所表征的集值映射的特性和弱向量变分不等式解集的连通性条件。

This paper using Zorn Lemma, we get new fixed point theorems for noncom-pact and non monotone operators on Fully regular cones, all the results we get are new.

本文运用Zorn引理，得出了全正则锥上的非紧非单调算子的不动点的存在性结果，这些结论是全新的。

In a high resolution experiment, the monotone semi-Lagrangian method can conserve physical quantities with appropriate Courant number and save the computing time.

在高解析度的平流实验中我们发现，半拉格朗日法与单调格式在适当的 Courant 数，在节省积分时间的情况下，可以有更好的守恒性质。

Cable dampener cannot be rolled up but must be hung over the cable.

缆帆不能被卷起，必须保证处于展开状态

"This skylark is a present from my master," he says.

"这只云雀是我主人献上的礼物。"他说。