Quantum entropies of electromagnetic and gravitational fields on Taub-NUT black hole background

1 Introduction a In theoretical physics, the problem of calculating the quantum entropy on black hole background is a hotspot. Much efforts have been devoted to study the quantum entropy via brick-wall model [1] in the last 20 years, and most conclusions [2-6] are the quantum entropy according with Bekenstein-Hawking equation, i.e. S = Ah / 4 where S is the quantum entropy; and Ah is the area of the black hole horizon. But recent research [7,8] shows that the quantum entropy also has the log…     

On the Compact Topological Lattices

Introduction: In book[1], Birkhoff poses many problems about intrinsic topologies, many papers([2], [3], [4], [5] )have studied the properties about the intrinsic toplolgies and the relations amongthem. In recent years,many papers ([6], [7], [8], [9] )have studied the relations between the intrinsic topologies and completely distributive law of lattices. But not much is know about the existence ofcompact toplolgical lattices. In this paper we prove: 1). A finite dimensional lattice L is a co…     

小幽默(英文)

Imagination Several weeks after a young man had been hired,he was called into the personnel[人事部]director's office. "What is the meaning of this?" the director asked, "when you applied for this job,you told us you had five years of     

三维光学存储系统中补偿折射率失配的复振幅分布

1 Introduction The three-di mensional optical data storage is ofmuch interest in recent years[1-8].It has a great poten-tial for recording density.Currently,thetwo mainfac-tors affecting the density are the wavelength andspherical aberration caused by bot…     

The Choice

Four and a half billion years1 ago, the earth was formed. Perhaps a half billion years after that, life arose on the planet. For the next four billion years, life became steadily more complex, more varied, and more ingenious, until, around a million years ago, it produced mankind-the most complex and ingenious species of them all. Only six or seven thousand years ago-a period that is to the history of the earth as less than a minute is to a year-civilization emerged, enabling us to build up a…     

Performance Analysis of Disparity for Stereoscopic Image Pairs

1 IntroductionAfter many years of relative Obscurity,three-dimensional displays have recently become bothincreasingly pOPular and practical in the computerethics community. One way of shmulating 3Dperception is tO use a stereo paid, tWo images of the same.scene acquired horn different perspectives[']. There is ahigh degree of cross-correlation between the right and leftimages. For stereo images/video, the data cO~ssion isalso necessary, and the coding efficiency can be furtherimproved by ex…     

凯拉·奈特莉(英文)

Keira Knightley's voice is so winsome[迷人的] that you can practically see those famous teeth and that million-dollar grin[露齿而笑] over the phone. She's 20 years old and stunning[让人神魂颠倒的]. Glamour, New Woman and Tafler have all named her     

音乐产业

正Pre-reading task Put the words into the correct places in the text.a)fi le-sharing sites b)music business c)digitally d)MP3 e)download f)album g)mobile phone Twenty years ago,bands recorded songs to make an[1]........that they released on CD.Nowadays,however,most music is sold[2]........Fans can[3]........songs from the internet to their computers,[4]........or[5]........player.Sales like this are now the biggest part of the market.The problem for the[6]........is that people don’t pay for the music but get it free from the internet from[7]........These are places where people can swap music fi les without paying for them.     

The Feature in Translation Names of Tourist Attraction in Xinjiang and the Problem

If the tourism slogan is the best way to attract tourists attractions, there is no doubt the name of scenic spot have the di?rect impact on tourists. In recent years, the new scenic spot is more and mo...     

男童进入芝加哥大学医学院攻读(英文)

Sho Yano is only twelve years old. He was born in Portland. He has an IQ of more then 200.At nine years old, he entered a college unbelievably, and graduated three years later. This is a world record. Now he is a freshman in the medical     

关于我们的地球：101个有趣的事实（6）

Question： How old is Earth？ 问：地球年龄有多大？ Answer： Our planet is more than 4.5 billion years old, just a shade younger than the Sun. Recent evidence actually shows that Earth was formed much earlier than previously believed, just 10 million years after the birth of the Sun,     

Have a Contest

中学生英语读写[争当翻译家]竞赛题Ⅰ郾在下面对话的空白处填入一个适当的词（第一个字母已给出），使句意通顺句法正确。A：A to what is said above，can it be said that Cartier is the first p who discovered Canada？B：No.Cartier can be said to b the first European who discovered Canada. B he was not the first person who have discovered eNorth America or Canada. It is now generally b that the Eskimos and Indians s down in what is now Canada several thousand years e than the Europeans. They went th…     

从高考题谈“the more…，the more…”的用法

My mother is a common farmer.She is forty-one years old.She is neither tall nor very strong.But I think she is one of the greatest mothers in the world.     

Group Activities in Task-based Communicative Classroom

The purpose of learning a foreign language is for communicationin the target language, and speaking is the most direct communica tive method. In recent years, with the publication of the New Cur riculum Standard by the State Education Department, the …     

阅读理解二则(英文)

AThe M ona L isaShe is widely seen as proofthatgood looks can lastfor ever.But,atnearly 500years ofage,tim e is catching up with the M ona Lisa.The health ofthe fam ous picture, paintedby Leonardo da Vinciin 1505, is getting worseby the year, according to the Louvre M useumwhere itis housed.“The thin, wooden panel on which theM ona Lisa is painted in oil has changed shapesince experts checked it two years ago,” them useum said.Visitors have noticed changes butrepairing the world s m ost…     

READINGS

Sydney Sydney is a young city. Its history goes back just over 200 years. But in Australia, it is the oldest city. It is also the country’s largest city.     

宗教国度以色列

Israel is a nation rooted in religion. Its main religion, namely 1)Judaism, is thousands of years old. Israel is the only Jewish country in the world.The holy book of Judaism, the 2)Torah, is known as the Jewish Bible and contains many of the religious laws and the rules that Jews follow.     

Process Control for Nanoimprint Lithography

Since the optical lithography is reaching its mini- mal structure size limit, alternative lithography tech- niques in the sub-100 nm range should be developed. In recent years, some nontraditional patterning tech- nologies, such as imprint lithography, soft lithogra- phy , and others, with a potentially wider application in microdevice fabrication, have been explored [1-4]. In 1995, nanoimprint lithography (NIL) was pro- posed. NIL technology is a hot subject and a develop- ment trend in the…     

一族Lax可积的格方程,达布变换与守恒律

1IntroductionIn recent years , the nonlinear integrable latticeequations have been extensively studied ,such as theAblowitz-Ladik lattice[1], the Toda lattice[2], thedifferential-difference KdVequation[3]and so on[4-7].Inthe theory of nonlinear integrable lattice equations ,ani mportant subject is to search for new Lax integrablelattice equations .In addition,several methods for de-termining exact solutions of soliton equations havebeen developed . The Darboux transformation ( DT)method pl…     

俚语和成语,让你走出英语学习的黑暗

[接上期]Should Teachers Teach Naughty Words?After years of presenting to numerous teachers and leading discussion groups, I have found that the vast majority of teachers feel that familiarizing students with slang, idioms and even some vulgarities is much more desirable than having students pick up this type of language haphazardly on the street.