正子

There is a bijection between the set of all the projections on Hilbert space H and the set of all the closed subspaces of Hilbert space H.

我们都知道Hilbert空间上的正交投影和Hilbert空间的闭子空间是一一对应的。

Utilizing the theories of BK spaces and multiplier spaces, this paper discuss the necessary and sufficient condition which fundamental and total biorthogonal system in Banach spaces which don t contain copy of is unconditional basis .

本文利用BK空间和乘子空间的性质，讨论了在不含C0 的C0py的Banach空间上基本完全的双正交系成为无条件基的充要条件。

But one evening, says Mr Dixon, when the lord Harry was cleaning his royal pelt to go to dinner after winning a boatrace (he had spade oars for himself but the first rule of the course was that the others were to row with pitchforks) he discovered in himself a wonderful likeness to a bull and on picking up a blackthumbed chapbook that he kept in the pantry he found sure enough that he was a lefthanded descendant of the famous champion bull of the Romans, Bos Bovum , which is good bog Latin for boss of the show.

然某日傍晚，"迪克森先生曰，"哈利王于划船比赛中获得冠军（彼使用鍬型桨子，惟依比赛规章第一条，其他选手均用草耙划船），为了赴晚宴，彼正修整高贵之皮肤时，发现自己酷似公牛。遂翻阅藏于餐具室、手垢斑斑之小册子，查明自己确系罗马人通称为"牛中之牛"那头著名斗牛旁系之后裔。其名字确为蹩脚拉丁语，意即："展览主持者。"

This paper is concerned with the existence of positive solution for singular m-point boundary value problems with p-Laplacian operator by using a fixed point theorem on cone.

运用锥拉伸压缩不动点定理，讨论了一类具有p-Laplacian算子m-点奇异边值问题的正解的存在性，推广和包含了一些已知的结果。

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。

R~n(n≥0) is a bounded domain with smooth boundaryΩ;ΔisLaplace operator; u and v, respectively, denote populaton densities of prey andpredator species, inhabit the domainΩ; a_i, b_i, c_i, D_i(i=1,2) are positive constants.the form of boundary parameter B is?

R~n(n≥0)是边界Ω充分光滑的有界区域；△为Laplace算子；u，v分别表示区域Ω中食饵和捕食者的密度，参数a_i，b_i，c_i，D_i(i=1，2)均为正常数，而边值参数B形式为这里的？

But they now took no part in the war, inasmuch as there was no one to marshal them; for Achilles stayed by his ships, furious about the loss of the girl Briseis, whom he had taken from Lyrnessus at his own great peril, when he had sacked Lyrnessus and Thebe, and had overthrown Mynes and Epistrophus, sons of king Evenor, son of Selepus.

捷足的壮勇、卓越的阿基琉斯其时正盛怒不息，躺在他的海船旁，为了美发的布里塞伊丝，苦战得手的战礼，从鲁耳奈索斯城堡——他曾荡劫那个地方，捣烂了塞贝的城墙，击倒了厄丕斯特罗福斯和慕奈斯，两位凶狠的枪手，塞勒丕俄斯之子、国王欧厄诺斯的儿郎。为了那位姑娘，他心情悲悒，躺在船边——但他马上即会直立起身。

The Cancellation for modules have a good application background in the theory of vector bundles. As a common generalization of the comparability axiom and the cancellation law, T.

比较公理和一般可比性在算子代数，Bear环和正则环的研究中起着重要的作用；模消去在向量丛理论中有着很好的应用背景。

Note that, since these operators commute with the particle number operator., the 2 × 2 = 4-dimensional Hilbert space has a 2-dimensional subspace,, in which a canonical spin representation is realized.

注意，由于这些算符与粒子数算符对易，2× 2 = 4 维的Hilbert空间有一个2维的子空间，其中有一个正则自旋表象。

The domestic demand of acetic acid up to 1,440,000-1,620,000 tons can be anticipated in 2010, if 60% is produced by methanol, 520,000 tons of methanol will be consumed;③Methanol can be used as feedstock to directly produce various pesticides ,such as fenitrothion, omethoate, dipterex etc., we anticipate that approximately 340,000 tons of methanol will be used to produce pesticides in 2010.④ Various medicines use methanol as feedstock, such as sulfanilamide, vitamin B6 etc., we anticipate that approximately 180,000 tons of methanol will be used to produce medicines in 2010.⑤ In the duration of dye production, methanol can be used as feedstock or solvent, such as s carlet base RC, disperse red GLZ, phthalocyanin ⑥ Synthetic resin also need methanol as feedstock such as organic glass, we anticipate that about 70,000 tons of methanol will be used to produce synthetic resin and plastics in 2010;⑦Synthetic fibers and synthetic rubber industry, will use methanol about 800,000 tons in 2010;⑧ At present, the production of MTBE is increase rapidly, there are 27 set of plants, total production capacity is 620,000 tons every year, and the demand is about 800,000 tons, there is gap between demand and supply.

预计2010年我国醋酸的需求量将达144～162万吨，按甲醇羰基法占60%计，将需求甲醇达52万吨；③多种农药的生产直接以甲醇为原料，如杀螟松、乐果、敌百虫等，预计到2010年甲醇用于生产农药约为34万吨；④多种医药药品以甲醇为原料，如长效磺胺、维生素B6等，预计到2010年甲醇用于医药约为18万吨；⑤染料生产过程中用甲醇作原料或溶剂，如红色基RC、分散红GLZ、阴率子GRL、酞菁素等等，预计2010年甲醇用量约为10万吨；⑥有机玻璃等合成树脂也需用甲醇为原料，预计到2010年甲醇用于生产合成树脂与塑料用量约为7万吨；⑦合成化纤与合成橡胶工业，2010年甲醇用量约为13万吨；⑧我国MTBE生产正处于快速增长期，现有MTBE装置27套，总生产能力62万吨/年，而年需求量约80万吨，有一定缺口。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。