上有界的

In this paper we consider three inverse boundary value problems: the high-dimensional Helmholtz equation and backward heat conduction problems on the bounded region and on the cylindrical region.

本文主要研究高维Helmholtz方程Cauchy问题和有界区域，柱形区域上的反向热传导问题这三类逆边值问题。

In this paper,the definition modes of Lebesgue integral of non-negative measurable functions are studied by the way of cutting defining and valued rids,approaching with simple function series.The four definitions of Lebesgue integral of non-negative measurable functions are given.Furthermore,their e- quivalence properties are proved by elementary knowledge.

文献〔1」利用非负可测函数在Ef镇司上积分的极限定义了f在有界可测集E上的L积分；文献[2」利用非负递增简单函数列积分的极限定义了非负可测函数的L积分；文献[3]给出了L积分的一种统一定义；文献〔4一6〕分别证明了测度

Firstly, we study the perturbation method of Charnes.

第二，我们研究了变量有上界的退化线性规划问题。

Modoc Retold by Richard Erdoes and Alfonso Ortiz Before there were people on earth, the Chief of the Sky Spirits grew tired of his home in the Above World, because the air was always brittle with an icy cold.

莫多克族里察德·埃尔多斯和阿尔方索·沃第兹复述在地上有人类存在之前，天神的首领对他在上界的家感到厌倦了，因为那里的空气总是冷得像冰一样，所以他用一块石头在天空上挖了一个洞，把所有的冰雪都从那儿推了下去，直到形成了一个从地面通到天上的大雪堆。

In the fourth chapter,we discuss theapplication of the atomic decomposition theory to the vector-valued harmonicanalysis.We give the Hardy inequalities in the vector-valued martingale space,we also study the Mikhlin multiplier operator and singular integral operator in thevector-valued Hardy space.

第四章我们主要研究原子分解理论在向量值调和分析中的应用，建立了向量值鞅空间上的Hardy不等式，向量值Hardy空间上的Mikhlin乘子算子及一类奇异积分算子的有界性。

It's probably worth keeping the Smallness Theorem up on the board, so we don't forget where we're going.

最好把辅助多项式有界性定理挂在黑板上，这样我们就不会忘了我们的目的。

The fact that a real number might have two different decimal representations is merely a reflection of the fact that two different sets of real numbers can have the same supremum.

一个实数可以有两种不同的小数表示法，仅仅是两个不同的实数集合可以有相同的最小上界的一个反映。

The fact that a real number might have two different decimal representations is merely a reflection of the fact that two different sets of real numbers can have the same supremum.）refApostol p.12/ref /blockquote

汤姆·阿波斯托尔得出结论： blockquote 一个实数可以有两种不同的小数表示法，仅仅是两个不同的实数集合可以有相同的最小上界的一个反映。

Etchant surface tension: because everything has a certain amount of surface area so liquid surface as if there is a layer of thin films, this film a molecular-level of attractiveness to shrinking trend, in order to maintain this balance, of surface tension in the gelifen surface must be enclosed in a suitable and surface force tangent to the surface area of, and this is no longer shrink and surface force called the tangent to the surface tension.

蚀刻液的暗地压辛：因为任何物体都有必定的暗地积因此不流体暗地不离仿佛有一层放宽的不厚膜，这层不厚膜具有一股分子级的边向推斥辛，使其有关上的趋向，为了保持这安详的暗地不均，在暗地周界上务必增一不合的和暗地相切辛才能使暗地保持必定的背积，不一再关上，这种和暗地相切的辛叫暗地压辛。

Theoretically,the system is globally uniformly ultimate bounded.

从理论上论证受控系统在设计的控制器作用下是全局一致毕竟有界。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。