Topological Gravity, Kaluza-Klein Reduction, and the Kink
a r X i v :h e p -t h /0401124v 2 2 M a r 2004
MIT-CTP-3467hep-th/0401124
Topological Gravity,Kaluza-Klein Reduction,and the Kink 1
Alfredo Iorio
Center for Theoretical Physics,Massachusetts Institute of Technology
77,Massachusetts Avenue -Cambridge MA 02139USA
Abstract
Kaluza-Klein reduction of the 3d gravitational Chern-Simons term leads to a 2d theory that supports a symmetry breaking solution and an associated kink interpolating between AdS and dS geometries.
1Chern-Simons Gravity
Chern-Simons (CS)gauge theories,either pure or as modi?cations of Yang-Mills theories,have been studied from a variety of perspectives,gravity included.Nonetheless,some aspects of the impact on gravity deserve further investigation.
The probably best known arena for CS gravity is in 3dimensions[2]
GR(G μν)=
d 3x
√4π2
d 3x?
μνλ
1
3
ΓρμσΓσντΓτ
λρ
.(2)
This leads to a topologically massive scalar graviton theory,descending from the theory GR(G μν)+
1/μCS(Γ).
In the ?rst order formulation of Vielbein (E A μ)and spin connections (?AB μ
)the gauge theoretical nature of 3d gravity becomes more transparent.Treating E and ?as independent variables,it was proved the equivalence[4]GR(E,?)?CS(E,?).This only happens in 3dimensions,where a non-degenerate,ISO(2,1)-invariant,bilinear form can be de?ned in terms of P A and J A ,generators of translations and rotations,respectively.The Dreibein is the gauge ?eld associated
to P A,while the spin connection is the gauge?eld associated to J A.A di?erent perspective takes?(E),obtained imposing torsionlessness rather than having it has an Euler-Lagrange(EL) equation.On this see,for instance,[5].
2Kaluza-Klein Reduction
We shall concentrate on CS(Γ)alone and dimensionally reduce it in a Kaluza-Klein(KK)
setting[1].We have
δCS(Γ)=?1
GCμνδGμν,(3)
where the Cotton tensor Cμν,de?ned by
Cμν=?1
√
??xμ U?1Aσ(x)U+U?1?
4π2 d3x?μνλ
tr 13?μ?ν?λ ?1
term,while this is not the case for the gravity term[7].We shall not consider W(E)any further. In3d?μ,AB=?ABC?Cμ,thus
CS(?)=?1
2π2 d3x det?Aμ.(8)
With the KK Ansatz the3d metric tensor reads(see for instance[8])
Gμν=φ gαβ?aαaβ?aα
?aβ?1
,(9)
where all quantities are independent of y,and,transforming Gμνunderδxμ=?ξμ(t,x),it is seen that gαβis the2d metric tensor,aαis a2d gauge vector,(α,β=0,1),andφis a scalar. As the CS term is conformally invariant we setφ=1.
The reduced Dreibein E Aμand spin connection?Aμread
E aα=e aα,E2α=aα,E a2=0,E22=1,(10)
?aα=1
2
faα,?a2=0,?22=?
1
?g?αβf,where fαβ=?[αaβ].
With these,the dimensionally reduced gravitational CS term is eventually obtained
CS=?1
?g(fr+f3),(12)
where g=det gαβ,and r is the2d scalar curvature.
The3d scalar curvature R with the KK Ansatz(andφ=1)reduces to
R=r+
1
4π2 d2x√2Tαβδgαβ),(14) where jα=?(1/2√2rf)?DαDβf.As a consequence of gauge and2d di?eo invariance Dαjα=0,and DβTαβ=0,respectively.The components of the dimensionally reduced Cotton tensor are Cαβ=Tαβ,Cα2=?jα?Tαβaβ, and C22=gαβTαβ+aαTαβaβ+2jαaα.Thus the EL equations are
?αβ?β(r+3f2)=0,gαβ(D2f?f3?1
The?rst is solved by r+3f2=constant=c.Eliminating r in the second equation,and decomposing into the trace and trace-free parts lead to
0=D2f?cf+f3,(16)
0=DαDβf?
1
c,r=?2c, (c>0),with R=?(3/2)c.The latter is maximally symmetric,the former is not.
When the symmetry breaking solution is present,there also is a kink solution
f=
√c
c,and giving rise to r=?2c+3c/(cosh2√
2
x),with3d scalar
curvature R=?3c/2+5c/(2cosh2√
2 x).
The global properties of the reduced theory above described have been now extensively studied[9]. 4Overview
There are various dimensional reductions/enhancements one can perform on the CS gravity term:3d→2d[this work,[1]];4d←3d[10];(2N+1)d→2Nd in particular5d→4d[11]. References
[1]G.Guralnik,A.Iorio,R.Jackiw,S.-Y.Pi,Ann.Phys.308(2003)222.
[2]S.Carlip,Quantum gravity in2+1dimensions,Cambridge University Press(1998).
[3]S.Deser,R.Jackiw,S.Templeton,Ann.Phys.(NY)140(1982)372.
[4]E.Witten,Nucl.Phys.B311(1988/89)46.
[5]J.H.Horne,E.Witten,Phys.Rev.Lett.62(1989)501.
[6]A.Garcia,F.W.Hehl,C.Heinicke,A.Macias,The Cotton tensor in Riemannian spacetimes,
gr-qc/0309008.
[7]R.Percacci,Ann.Phys.177(1987)27.
[8]L.O’Raifeartaigh,N.Straumann,Rev.Mod.Phys.72N.1(2000).
[9]D.Grumiller,W.Kummer,Ann.Phys.308(2003)211.
[10]R.Jackiw,S.-Y.Pi,Phys.Rev.D68(2003)10412.
[11]D.Grumiller,A.Iorio,in preparation.
4
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中华人民共和国国家标准 GB XXXX--XX 地球物理勘查名词术语 Terms Of geophysical exploration 1 主题内容及适用范围 本标准规定了地球物理勘查(包括重力勘查、磁勘查、电勘查、地震勘查、测井及核物探)中常用的、主要的、本学科专有的名词术语。 本标准适用于地球物理勘查工作的语言和文字交流。 2 基本术语 2.1 地球物理勘查geophysical exploration 运用物理学的原理、方法和仪器以研究地质情况或寻查埋藏物的一类勘查。 同义词物探；地球物理勘探：(勘探地球物理；地球物理探矿) 注：1.取决于使用场合，该术语可附加后缀“法”或“学”。 2.根据具体情况，可以使用“航空物探”，“海洋物探”，“地面物探”，“地下物探”，“深部物探”，“区域物探”， “工程物探”，“环境物探”，……等术语。 2.2 正常场normal field 物理场的相对平稳部分。 2.3 异常anomaly 物理场对正常场的偏离。 2.3.1 理论异常theoretical anomaly 正演所获得的异常。 同义词计算异常 2.4 物性physical properties 岩(矿)石或其它探测对象的物理性质。 2.5 异向性系数coefficient of anisotropy 描述介质垂直层理(片理、节理等)方向与平行层理方向的物性差异的一种参数。 同义词(各向异性系数;非各向同性系数) 2.6 地球物理正演geophysical direct problem 根据地质体或其它探测对象的几何参数和物理参数计算地球物理场值。 同义词物探正演 2.7 地球物理反演geophysical inversion 根据地球物理场值，计算地质体或其它探测对象的几何参数和物性参数。 同义词物探反演 国家技术监督局XXXX—XX—XX批准 XXXX—XX—XX实施
android layout_gravity 和 android gravity 的区别
1.gravity 这个英文单词是重心的意思，在这里就表示停靠位 置的意思。 android:layout_gravity 和android:gravity 的区别 从名字上可以看到，android:gravity是对元素本身说的，元素本身的文本显示在什么地方靠着换个属性设置，不过不设置默认是在左侧的。 android:layout_gravity是相对与它的父元素说的，说明元素显示在父元素的什么位置。 比如说button：android:layout_gravity 表示按钮在界面上的位置。android:gravity表示button上的字在button上的位置。 可选值 这两个属性可选的值有：top、bottom、left、right、center_vertical、fill_vertical、center_horizontal、fill_horizontal、center、fill、clip_vertical。
而且这些属性是可以多选的，用“|”分开。 默认这个的值是：Gravity.LEFT 对这些属性的描述： 出自： https://www.360docs.net/doc/5610885282.html,/guide/topics/resources/drawable-res ource.html https://www.360docs.net/doc/5610885282.html,/reference/android/graphics/drawable /ClipDrawable.html Value Description top Put the object at the top of its container, not changing its size. 将对象放在其容器的顶部，不改变其大小. bottom Put the object at the bottom of its container, not changing its size. 将对象放在其容器的底部，不改变其大小.
(精校版)沪教牛津版初中英语单词表
(完整word版)沪教牛津版初中英语单词表 编辑整理： 尊敬的读者朋友们： 这里是精品文档编辑中心，本文档内容是由我和我的同事精心编辑整理后发布的，发布之前我们对文中内容进行仔细校对，但是难免会有疏漏的地方，但是任然希望（(完整word版)沪教牛津版初中英语单词表）的内容能够给您的工作和学习带来便利。同时也真诚的希望收到您的建议和反馈，这将是我们进步的源泉，前进的动力。 本文可编辑可修改，如果觉得对您有帮助请收藏以便随时查阅，最后祝您生活愉快业绩进步，以下为(完整word版)沪教牛津版初中英语单词表的全部内容。
沪教版七年级上单词表 Unit 1 German adj. 德国的 blog n. 博客 grammar n。语法 sound n. 声音complete v。完成 hobby n. 爱好 country n. 国家 age n。年龄 dream n.梦想 everyone pron. 人人；所有人 Germany n. 德国mountain n。山；山脉elder adj. 年长的friendly adj。友爱的；友好的 engineer n.工程师 world n. 世界 Japan n。日本 flat n. 公寓 yourself pron.你自己 US n. 美国close to （在空间、时间上） 接近 go to school 去上学 （be) good at 擅长 make friends with 与..。... 交朋友 all over 遍及 ’d like to = would like to 愿意 Unit2 daily adj。每日的；日常 的 article n。文章 never adv. 从不 table tennis n.兵乓球 ride v. 骑；驾驶 usually adv。通常地 so conj. 因此;所以 seldom adv.不常；很少 Geography n. 地理 break n. 休息 bell n。钟；铃 ring v。（使）发出钟声， 响起铃声 end v。结束；终止 band n。乐队 practice n. 练习 together adv。在一起 market n。集市；市场 guitar n。吉他 grade n. 年级 junior high school 初级 中学 on foot步行 take part in 参加 have a good time 过得愉快 go to bed 去睡觉 get up 起床 Unit3 Earth n. 地球 quiz n。知识竞赛；小测 试 pattern n。模式;形式 protect v.保护 report n。报告 part n. 部分
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Density and Specific Gravity (1) Density (r)of a material is defined as mass per unit volume and is usually represented in the SI system by the units g*cm-3or kg*m-3. There are a number of different methods and devices for determining the density of a substance, and there are also a number of factors that can affect the density of a sample. If the exact composition of a non-homogeneous ) can be determined using the mass material is known, its solid density(r s and density of each of the n components using the following equation: The density of materials such as agricultural grains, which consist of many small particles, can be expressed in terms of solid density,particle density or bulk density. Solid density considers the mass and volume of the solid matter only and does not include any air spaces within the mixture. Particle density describes the mass per unit volume of an individual particle (e.g. corn kernel) from the sample. Bulk density, on the other hand, considers the total mass and total volume of a large quantity of the particles. Specific gravity is a dimensionless term used to compare the densities of different materials relative to water. Specific gravity of a substance is defined as the ratio of the substance’s density to the density of wa ter at the same temperature. From this information, it can be determined that if the specific gravity of a material is less than 1, it is less dense than water, and if the specific gravity is greater than 1, it is more dense than water. 1. Stroshine and Hamann. 1994. Physical Properties of Agricultural Materials and Food Products. 17-18.
东亚贸易gravity model应用-国际经济学
WORLD TRADE（EAST ASIA）: The Gravity Model PART1: 从更具体的省份?角度来看中韩贸易，??广东、江苏、?山东和上海稳固占据前4席位，其中??广东是中韩进出?口的第?一?大省，进出?口份额均约1/4。东部省市是中韩贸易的主体，但中?西部省市凸显?高速增?长态势。 按照gravity model，距离越?小，贸易量会越?大，从上表中可知排名第三的?山东、第六的辽宁第七的天津都是距离韩国较近的省份，故贸易量会排在较前。但是??广东、江苏、
上海、浙江的省经济贸易总量?非常?大，以?至于其影响超过了距离对东部各省与韩的贸易量的影响，使??广东各省稳居前列。 PART2: ?自1992年8?月建交以来，中韩两国间经贸往来取得了较快发展，两国双边贸易额由建交时的50亿美元增加到2012年2742．38亿美元，增长了五??十余倍。2013年，韩国是中国的第三?大贸易伙伴，?而中国已成为韩国的第?一?大贸易伙伴、第?一?大出??口?目的地和第?一?大进??口来源地。
上?方所显?示的四张图是中?日、中韩的近?几年贸易量显?示。总体来讲由于中国本?身国家经济贸易总量的增?长，中?日、中韩之间的贸易量基本都是增?长趋势，其增?长额度与速度也不容?小觑，加上本?身同为东亚的各国的距离上的优势以及?日本与韩国的GPD多年来的增?长，形成以上图的状况。图?二中2003-2013中韩贸易额占中国贸易总额微有所下降，中韩贸易额占韩国贸易总额却有明显的上升，?一?方?面是由于中国本?身国家经济贸易总量的快速?大量增?长超越了韩国的GDP增?长，另?一?方?面由于中国扩?大了贸易发展?面，贸易多边化，中韩所占中国贸易总量?比重减少。 图四所显?示，2006-2010中?日贸易同?比增?长和中国外贸同?比增?长基本趋势趋于?一致，除2009年点处，中国外贸同?比增?长数额明显?大于中?日贸易同?比增?长数额。原因还是中国贸易的国际化快速发展。 PART3:
THE LOG OF GRAVITY
THE LOG OF GRAVITY J.M.C.Santos Silva and Silvana Tenreyro* Abstract—Although economists have long been aware of Jensen’s in-equality,many econometric applications have neglected an important implication of it:under heteroskedasticity,the parameters of log-linearized models estimated by OLS lead to biased estimates of the true elasticities.We explain why this problem arises and propose an appropri-ate estimator.Our criticism of conventional practices and the proposed solution extend to a broad range of applications where log-linearized equations are estimated.We develop the argument using one particular illustration,the gravity equation for trade.We?nd signi?cant differences between estimates obtained with the proposed estimator and those ob-tained with the traditional method. I.Introduction E CONOMISTS have long been aware that Jensen’s in- equality implies that E(ln y) ln E(y),that is,the expected value of the logarithm of a random variable is different from the logarithm of its expected value.This basic fact,however,has been neglected in many economet-ric applications.Indeed,one important implication of Jen-sen’s inequality is that the standard practice of interpreting the parameters of log-linearized models estimated by ordi-nary least squares(OLS)as elasticities can be highly mis-leading in the presence of heteroskedasticity. Although many authors have addressed the problem of obtaining consistent estimates of the conditional mean of the dependent variable when the model is estimated in the log linear form(see,for example,Goldberger,1968;Man-ning&Mullahy,2001),we were unable to?nd any refer-ence in the literature to the potential bias of the elasticities estimated using the log linear model. In this paper we use the gravity equation for trade as a particular illustration of how the bias arises and propose an appropriate estimator.We argue that the gravity equation, and,more generally,constant-elasticity models,should be estimated in their multiplicative form and propose a simple pseudo-maximum-likelihood(PML)estimation technique. Besides being consistent in the presence of heteroskedas-ticity,this method also provides a natural way to deal with zero values of the dependent variable. Using Monte Carlo simulations,we compare the perfor-mance of our estimator with that of OLS(in the log linear speci?cation).The results are striking.In the presence of heteroskedasticity,estimates obtained using log-linearized models are severely biased,distorting the interpretation of the model.These biases might be critical for the compara-tive assessment of competing economic theories,as well as for the evaluation of the effects of different policies.In contrast,our method is robust to the different patterns of heteroskedasticity considered in the simulations. We next use the proposed method to provide new esti-mates of the gravity equation in cross-sectional https://www.360docs.net/doc/5610885282.html,ing standard tests,we show that heteroskedasticity is indeed a severe problem,both in the traditional gravity equation introduced by Tinbergen(1962),and in a gravity equation that takes into account multilateral resistance terms or?xed effects,as suggested by Anderson and van Wincoop(2003). We then compare the estimates obtained with the proposed PML estimator with those generated by OLS in the log linear speci?cation,using both the traditional and the?xed-effects gravity equations. Our estimation method paints a very different picture of the determinants of international trade.In the traditional gravity equation,the coef?cients on GDP are not,as gen-erally estimated,close to1.Instead,they are signi?cantly smaller,which might help reconcile the gravity equation with the observation that the trade-to-GDP ratio decreases with increasing total GDP(or,in other words,that smaller countries tend to be more open to international trade).In addition,OLS greatly exaggerates the roles of colonial ties and geographical proximity. Using the Anderson–van Wincoop(2003)gravity equa-tion,we?nd that OLS yields signi?cantly larger effects for geographical distance.The estimated elasticity obtained from the log-linearized equation is almost twice as large as that predicted by PML.OLS also predicts a large role for common colonial ties,implying that sharing a common colonial history practically doubles bilateral trade.In con-trast,the proposed PML estimator leads to a statistically and economically insigni?cant effect. The general message is that,even controlling for?xed effects,the presence of heteroskedasticity can generate strikingly different estimates when the gravity equation is log-linearized,rather than estimated in levels.In other words,Jensen’s inequality is quantitatively and qualitatively important in the estimation of gravity equations.This sug-gests that inferences drawn on log-linearized regressions can produce misleading conclusions. Despite the focus on the gravity equation,our criticism of the conventional practice and the solution we propose ex-tend to a broad range of economic applications where the equations under study are log-linearized,or,more generally, transformed by a nonlinear function.A short list of exam-ples includes the estimation of Mincerian equations for wages,production functions,and Euler equations,which are typically estimated in logarithms. Received for publication March29,2004.Revision accepted for publi- cation September13,2005. *ISEG/Universidade Te′cnica de Lisboa and CEMAPRE;and London School of Economics,CEP,and CEPR,respectively. We are grateful to two anonymous referees for their constructive comments and suggestions.We also thank Francesco Caselli,Kevin Denny,Juan Carlos Hallak,Daniel Mota,John Mullahy,Paulo Parente, Manuela Simarro,and Kim Underhill for helpful advice on previous versions of this paper.The usual disclaimer applies.Jiaying Huang provided excellent research assistance.Santos Silva gratefully acknowl- edges the partial?nancial support from Fundac?a?o para a Cie?ncia e Tecnologia,program POCTI,partially funded by FEDER.A previous version of this paper circulated as“Gravity-Defying Trade.” The Review of Economics and Statistics,November2006,88(4):641–658 ?2006by the President and Fellows of Harvard College and the Massachusetts Institute of Technology
简单解释一下android 中layout_gravity和gravity_华清远见
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常用金融术语（中英对照） 说明：部分对中小资金不太普及的术语未做具体解释。 金融 资产组合(Portfolio) ：指投资者持有的一组资产。一个资产多元化的投资组合通常会包含股票、债券、货币市场资产、现金以及实物资产如黄金等。 证券投资(Portfolio Investment) ：国际收支中、资本帐下的一个项目，反映资本跨国进行证券投资的情况，与直接投资不同，后者涉及在国外设立公司开展业务，直接参与公司的经营管理。证券投资则一般只是被动地持有股票或债券。 投资组合经理(Portfolio Manager)：替投资者管理资产组合的人，通常获授权在约定规范下自由运用资金。共同基金的投资组合经理负责执行投资策略，将资金投资在各类资产上。 头寸(Position) ：就证券投资而言，头寸是指在一项资产上做多(即拥有)或做空(即借入待还)的数量。 总资产收益率(ROTA) ：资产收益率是企业净利润与平均资产总额地百分比，也叫资产回报率（ROA），它是用来衡量每单位资产创造多少净利润的指标。其计算公式为：资产收益率＝净利润/平均资产总额×100%；该指标越高，表明企业资产利用效果越好，说明企业在增加收入和节约资金使用等方面取得了良好的效果，否则相反。 整批交易(Round Lot Trade) ：指按证券和商品在市场最普遍的交易单位(例如100股为一单位)进行的交易。 交易回合(Round Turn)：指在同一市场上通过对两种证券或合约一买一卖，或一卖一买的交易两相抵消。通常在计算手续费时会提及交易回合。 缩略语 有资产担保的证券(ABS) 国际外汇交易商协会(ACI) 现货(Actuals) 亚洲开发银行(ADB) 美国预托证券(ADR) 非洲开发银行(AFDB) 年度股东大会(AGM)
重力铸造检验技术标准 inspection standard of gravity casting
QS-F-Q-002 1. 目的OBJECTIVE 规范铸件产品成型和整品后的品质要求，以及过程中主要参数的查核要求。 2. 应用范围APPLICATION SCOPE 适用于本公司生产的铸造件生产过程。 3. 职责AUTHORITY AND RESPONSIBILITY 3.1 铸造检验人员：对铸造过程的查核与检验。 4. 程序PROCEDURE 4.1检验方式与抽样方案： 4.1.1首检、巡检依照《龙头检验与试验控制程序》执行 4.1.2 移转检验依照《抽样方案》执行。 4.2 检验条件： 在自然光或光照度不低于300LX（相当于40W日光灯）光线下，不借助任何放大工具进行检验。 4.3 检验工具与方法： 4.3.1 检验工具：游标／电子卡尺，深度卡尺，高度卡尺和内径卡尺等。 4.3.2 检验方法： 4.3.2.1 尺寸检验用4.3.1中工具进行检验 4.3.2.2 功能检验以风枪（检验是否无法隔阻）和目测为主，首件检验时，每模每穴 至少剖开检验一件.剖开结果填入《重力铸造首件检验记录表》中。 4.3.2.3 外观检验以目测为主，当有争议时，以试抛结果为依据，试抛频率为每生产 100件取样试抛一次，每次取样不少于两件，以确认是否存在隐藏的缺陷等，试抛结果填入《重力铸造巡检记录表》中。 4.4 外观检验要求： 4.4.1 对表面需要加工的产品，其加工部位缺陷，如砂眼，裂纹，缩料，冷隔，锯伤 和憋气等深度一般不允许超过0.5mm，最终以加工后不得有铸造面为原则。 4.4.2 对表面不需要加工但需要抛光的表面，检验要求表面不允许有深度超过0.4mm 的上述缺陷，原则上发现以上缺陷必须要求改善才能生产。因为其会影响抛光效率或抛光后因抛光腊覆盖关系导致缺陷被隐藏等。 4.4.3 对铸造成型经过洗砂和整品后直接入库的产品，要求表面平整，无明显缩料， 气孔和憋气等不良现象。
空气动力学中的动名词解释
Aerodynamics: some nouns Chapter 1 Types of flow: Uniform Flow Steady Flow Unsteady Flow Continuum Versus Free Molecule Flow Inviscid Flow:μ＝0 Viscous Flow:μ≠0 Incompressible Flow:ρ=const Compressible Flow:ρ≠const Gradient of a Scalar Field: The gradient of p,▽p, at given point in space is defined as a vector such that : 1.Its magnitude is maximum rate of change of p per unit length of the coordinate space at the given point. 2.Its direction is that of maximum rate of change of p at the given point. Divergence of a Vector Field:
The time rate of change of the volume will , in general , a moving fluid element of fixed mass , per unit volume of that element , is equal to the divergence of V ,denoted by▽·V . Curl of a Vector Field: ωis equal to one-half of the curl of V ,where the curl of V is denoted by▽×V. Mass Flow: The mass flow through A is the mass crossing A per second. Let denote mass flow. Body forces: Gravity, electromagnetic forces, or any other forces which “ act at distance “ on the fluid inside V . Surface forces: Pressure and shear stress acting on the control surface S. The prefect gas equation of state:
Move Up(Lost Gravity)歌词完整版下载,Mr.Polska原唱歌词中文翻译
Move Up (Lost Gravity)歌词完整版下载，Move Up (Lost Gravity)原唱歌词中文翻译Mr.Polska === Move Up (Lost Gravity)歌词完整版如下=== Move Up (Lost Gravity) -Mr.Polska I need to unlock like a phone 我需要像手机一样解锁 My emotions need to be unfrozen 我的情感需要解冻 Can hardly talk about it 无法形容 I know everything I know everything yeah 道理我都明白 Can't be this lost one no more 不能再这样迷失 I need that power to end this fight 我需要力量结束这战役 So I go up I walk away 那么我就能奋力逃脱困境 Moving up way up 向上攀爬，找寻出路 Moving up stay up
向上攀爬，不眠不休 Moving up way up 向上攀爬，找寻出路 Moving up stay up 向上攀爬，不眠不休 Moving up way up 向上攀爬，找寻出路 Moving up stay up 向上攀爬，不眠不休 Moving up way up 向上攀爬，找寻出路 Moving up stay up 向上攀爬，不眠不休 Stay up 不眠不休 Stay up 不眠不休 Stay up 不眠不休 I'm not sure what I'm doing wrong 不确定自己做错了什么
(完整版)北师大版高中英语单词表
北师大版高中英语单词表 北师大版高中英语模块一单词表（English）Unit1Unit2Unit3 Unit1Learning to learn questionnaire问卷，调查表；matter要紧，有重大关系；partner搭挡,合作者； Warm-up lifestyle生活方式；shepherd牧羊人；peaceful和平的；平静的；relaxing轻松的，放松的；stressful轻松的，放松的；suppose认为，猜想 ----------------------- Lesson1 series连续；系列，丛书TV series电视连续剧cartoon卡通片,动画片talk show谈话节目，现场访谈complain抱怨,投诉couch睡椅,长沙发 couch potato终日懒散在家的人switch转换,转变 switch on把开关打开,接通switch off把关掉,关上switch over转换频道,转变play戏剧,短剧 BBC英国广播公司portable轻便的,手提(式)的remote遥远的remote control workaholic工作第一的人,专心工作的人 paperwork日常文书工作alarm警报,警告器 alarm clock闹钟(爆竹,铃等)响 go off take up占据be filled with充满着 urgent急迫的,紧急的personal私人的,个人的
document公文,文件midnight午夜,半夜bored厌烦的,不感兴趣的 ----------------------- Lesson2 stress压力studio工作室,演播室expert专家suffer感到疼痛,遭受(痛苦) suffer from忍受,遭受social爱交际的;社交的organize组织 stand忍耐，忍受 volunteer志愿者minus负，零下challenge挑战 dial拨(电话号码) advertisement广告solve解答,解决 accountant会计,会计师crowded拥挤的otherwise否则，另外crowd人群,一伙人distance距离sickness疾病 pressure压力 reduce减少降低 diet饮食,节食 prefer更喜欢,宁愿 ----------------------- Lesson3 graduate毕业 basin水盆,脸盆 support&支持;支撑 design&设计 presentation表演，展示 ----------------------- Lesson4 tube（英）地铁 nearby附近的；在附近 forecast预测,预报 lung肺 distance learning远程学习 cigar雪茄烟
Materials Specific Gravity
Material, Abbreviation Specific Gravity g/cm3 Filler or Reinforcement Specific Gravity g/cm3 ABS 1.04Aluminum Oxide 5.50ABS-PA 1.06Aramid Fiber 1.44ABS-PC 1.13Barium Ferrite 5.40ABS-TPU 1.12Barium Sulfate 4.50Acetal 1.42Barium Titanate 5.7-6.1Acrylic 1.19Bronze 8.80ASA 1.05C-2 Alumina 3.80ASA+AES 1.05Calcium Carbonate 2.70EVA .937-.964Carbon 2.08LCP 1.5-1.81Carbon Black 2.05Nylon 4/6 1.17-1.70Carbon Fiber (PAN) 1.7-1.8Nylon 6 1.13Carbon Fiber (Pitch) 1.99Nylon 6/6 1.14Clay 2.60Nylon 6/10 1.07-1.63Coke Flour 2.05Nylon 6/12 1.03-1.46Copper 8.20PBT 1.31-1.72DBDO 3.25PC 1.20Ferric Oxide 4.86PC+PBT 1.22Fiber Glass 2.54PE 0.88-0.965Glass Beads (hollow)0.60-.065PEEK 1.37-1.70Glass Beads (solid) 2.48PEI 1.27-1.61Graphite 2.08PES 1.37-1.70Hydrated Alumina 2.40PET 1.28-1.84Iron 7.90PP-CP 0.90Lead 11.60PP-HP 0.90Methanol 0.79PPO 1.04-1.06Mica 2.80PPS 1.4-2.0MoS2 (real) 4.80PS-GP 1.05Nickel Coated CF 2.80PS-HI 1.05PC FR Concentrate 1.22PSU 1.38-1.57PTFE 2.17PVS (RIGIT) 1.23-1.54Silicone 0.98PVS (FLEX) 1.12-1.72SiO2 2.30SAN 1.07SM3 (Moly sub) 3.00SB 1.01Steel 8.02TPE 0.875-1.34Strontium Ferrite 5.10TPO 0.83-1.15Talc 2.75TPU 1.04-1.30Tungsten 19.35TPUR 1.19-1.70Wollastonite 2.90SMA 1.07 Zinc Sulfide 4.00 Specific gravity X 16.3870 = Grams per cubic inch (g/in3)(Cost per pound) X (Specific Gravity) 27.69 Specific gravity X 0.5778 = Ounces per cubic inch (oz/in3cost per pound Specific gravity X 0.0361 = Pounds per cubic inch (lbs/in3453.5924Specific gravity X 62.3550 = Pounds per cubic foot (lbs/ft3)cost per pound 16 Specific gravity X 0.99756 = Density Pounds per cubic foot (lbs/ft3) X 0.01604 = Specific gravity cost per gram = cost per once = Specific Gravity of Fillers and Reinforcements Specific Gravity of Plastic material Cost per cubic inch = 860-632-2001111 Industrial Park Road, Middletown, CT 06457sales@https://www.360docs.net/doc/5610885282.html,