查询词典 monotone nonincreasing function

Our conclusion is : For general transport equation and some special transport equations (slab geometry, spherical symmetry, pillar symmetry) we can evaluate some relevant physical quantities and geometrical properties from the exiting photon flux. The method we will use is to transform the transport equation into integral equation by integrating it along its characteristics, then we prove the nonlinear operator K is monotone and continuous with respect to its arguments and obtain the existence of K~-1. Consequently, we can evaluate some relevant physical quantities and geometrical property of the medium.

我们得到的结论是：无论对于一般的迁移方程，还是当介质具有某种对称性时(板对称、球对称、柱对称)的迁移方程，我们都可以根据泄漏的光子流估计介质各种相关物理量和几何特性，所用方法都是将迁移方程通过沿特征线积分转化为积分方程的形式，然后证明非线性算子K关于自变量的单调性和连续性，从而得到逆算子K~(-1)存在，进而达到估计介质各种相关物理量和几何特性的目的。

VIRAG:(His mouth projected in hard wrinkles, eyes stonily forlornly closed, psalms in outlandish monotone) That the cows with their those distended udders that they have been the the known...

692维拉格：（嘴上吸出深深的皱纹，两眼像石头般绝望地紧闭着，以异国情调。用单音咏诵圣歌。）那些乳房胀鼓鼓的母牛，它们四远驰名

We divide the existence of generalized solutions into three theorems becauseof the existence of a generalized supersolution we need in the proof.To ob-tain this fact,we discuss three different cases separately.WhenΩhas strictconvexity,it can be proved that the generalized supersolution of (1)(2)is theconvex-monotone hull of 〓in 〓,this is theorem 2.WhenΩdoesn't hasthe strict convexity,in theorem 3 we have to suppose there exists a generalizedsupersolution.

我们的广义解的存在性结果之所以分成三个定理陈述，主要是因为在我们的存在性证明中，一个重要的事实就是广义上解的存在性，而为了得到这个事实，我们分别讨论了三种不同的情况：在定理2中的假设〓具有严格凸性时，我们证明了问题（1）（2）的广义上解就是初边值〓的凸单调包，而在〓没有严格凸性时，我们在定理3中假定了一个广义上解的存在性。

Our methods are based on the the surjection of maximal monotone operators and the critical point theorem of convex functionals.

本文主要利用极大单调算子满射原理和凸泛函临界点理论对半线性抛物型方程在各种控制下的能控性进行了研究。

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 small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。