3.4.2Basis,DimensionandCoordinatesofVectorSpaceLinearAlgebraDefinitionLetVbeavectorspace，islinearlyindependent；(2)AnyvectorinVcanbelinearlyrepresentedbyThevectorgroupiscalledabasisofthevectorspace,The𝑉numberofvectorsinabasisiscalledthedimensionofthevectorspace,andiscalleda𝑉𝑉r-dimensionalvectorspace.Stipulation:Thedimensionofthezerovectorspaceis0.1)Thebasisofisthelargestindependentgroupof,a...
LinearAlgebra3.1.3LinearRepresentationandEquivalentofVectorGroups1.RelationshipBetweenVectorGroupsVectorgroupislinearlyrepresentedbyvectorgroupifeachvectorinthegroupcanberepresentedbythevectorsinthegroup.𝐵canbelinearlyrepresentedbyForexample,2030,1001,ButB:2030cannotbelinearlyrepresentedby1001,Definition,Proof:GivenSincevectorgroupislinearlyrepresentedbyvectorgroup,𝐴𝐵therearescalarssuchthatC...
LinearAlgebra3.1.2DefinitionandPropertiesofLinearCombinationandLinearRepresentation;andarecollinear.Geometry:Thereisauniquerealscalarksuchthat=kCalled:canbelinearlyrepresentedby.Geometry:k1k2=k1+k2andarenotcollinear;,andarecoplanarTherearerealscalarsk1、k2suchthat=k1+k2Called:canbelinearlyrepresentedby,DefinitionGivenavectorgroup,sca...
LinearAlgebra3.1.1VectorandLinearOperation)HorizontalAngleofFuselage:ElevationAngleofFuselage:AngleoftheWing：Todeterminethestatusoftheaircraft,a6-dimensionalvectorisrequired:Descriptionofaircraftflightstatus¿𝜽(𝟎≤𝜽<𝟐𝝅)𝝍(−𝝅<𝝍≤𝝅)𝝓(−𝝅𝟐≤𝝓≤𝝅𝟐)Todeterminethestatusoftheaircraft,thefollowing6parametersarerequired:Thepositionparametersofthefocusinspace:R:255G:255B:0R:255G:0B:255255...
BRIEFREPORTPreventionofAnxietyandDepressioninSchoolChildren:EffectivenessoftheTransdiagnosticEMOTIONProgramKristinD.MartinsenUniversityofOsloandCentreforChildandAdolescentMentalHealth,EasternandSouthernNorway,Oslo,NorwayLeneMariP.RasmussenTheRegionalCentreforChildandYouthMentalHealthandChildWelfare–North,Tromsø,NorwayToreWentzel-LarsenandSolveigHolenCentreforChildandAdolescentMentalHealth,Eas...
JoumalofCounselingPsychology2012,Vol.59,No.2.321-328©2012AmericanPsychologicalAssociation0022-0167/12/$12.00DOI:10.1037/a0027965BRIEFREPORTAdvancingCareerCounselingandEmploymentSupportforSurvivors:AnInterventionEvaluationM.Meghandavidson,CamieNitzel,AlysondraDuke,CynthiaM.Baker,andJamesA.BovairdUniversityofNebraska-LincolnThepurposeofthisresearchwastoconductareplicationbasedandextensionstudyex...
Module3AdventureinLiteratureandtheCinemaMarkTwainwroteTheAdventuresofHuckleberryFinnin1884.Sincethen,thebookhasbeenpublishedinatleastsixtylanguages.SomepeoplesayitisthebestbookevercreatedbyanAmericanwriter.AmericanstudentsstillreadTheAdventuresofHuckleberryFinn.andparents,teachersandliteraryexpertsstilldebatetheissues1discussedinthebook.ThewriterwhobecameMarkTwainwasbornSamuelLanghorneClemensin...
Module1BritishandAmericanEnglishAstudentislearningtospeakBritishEnglish.Hewonders1:CanIcommunicate2withAmericans?Cantheyunderstandme?LearnersofEnglishoftenask:WhatarethedifferencesbetweenBritishandAmericanEnglish?Howimportantarethesedifferences?Certainly,therearesomedifferencesbetweenBritishandAmericanEnglish.Thereareafewdifferencesingrammar.Forexample,speakersofBritishEnglishsay“inhospital”a...
Module3BodyLanguageandNon-verbalCommunicationHowtoInterpretBodyLanguageIfyouknowhowtoreadaperson’sbodylanguage,youwillunderstandalotofthingsinyourlife.Youwillknowifsomeoneislyingtoyou,thinksyou’relyingoranywhereinbetween.Hereissomeadviceonhowtointerpret1bodylanguageofanyhumanbeing.Nowstartlookingatandnoticingaperson’seyes.Ifsomeonecan’tkeepsolideyecontactwithyou,theycouldbelying.Soyoushould...
Module6WarandPeace为实现持久核安全,中国愿意继续作出自己的努力和贡献。我们一起来读读习近平主席在荷兰海牙核安全峰会上的讲话。AttheNuclearSecuritySummitTheHague1,24March2014PrimeMinisterMarkRutte,DearColleagues,Today,wearemeetinghereatTheHagueforanimportantdiscussiononthewaysforenhancing2nuclearsecurity.Firstofall,IwishtoexpressheartfeltthankstoPrimeMinisterRutteandtheDutchgovernmentfortheactiveef...
SectionⅡGrammar一二三四一、A.阅读课文,找出与下列汉语意义匹配的英语句子1.英式英语和美式英语在很多方面都有所不同。2.很多专家相信这两种语言变体正在越来越接近。3.自从20世纪80年代以来,随着卫星电视和因特网的使用,一点击开关就能听到英式英语和美式英语已经成为可能。4.这种国际性的广泛使用表明,在未来将有很多种英语,而不仅仅是两种。一二三四B.核对答案,并对这几个句子进行逐一剖析1.BritishandAmericanEnglishared...
SectionⅣWriting写作指导常用句式针对训练建议信的作用是针对某事向收信人提出写信人的建议和忠告。建议信有可能是写给个人,就其遇到的某个问题提出自己的看法和观点;也可能是写给某个组织和机构,就改进其服务提出建议或忠告。时态和语态:多用一般现在时的主动语态。语气应委婉客气,切勿太严厉;尽量不要使用Youshoulddo...等表达。结构:首句往往先对对方的苦恼表示理解,并表示自己乐意帮忙;接着再逐条提建议;最后表达良好的祝...
SectionⅡGrammar一二三一、A.阅读课文,找出与下列汉语意义匹配的英语句子1.我们躲进了自己搭起来的避雨棚,让木筏顺流而下。2.我不想登上一条要沉的船。3.但当我提出我们可能在上面找到些有用的东西时,他还是同意去了。4.于是我们划了过去,蹑手蹑脚地,像老鼠一样悄无声息地爬上了汽船。5.接着我们听到人的嚎叫声:“哦,求你了,哥们儿,别杀我!”6.很黑,但我能看见一个人被绳子捆着,躺在地板上。一二三7.有两个人围着他站着。8.听...
SectionⅣWriting写作指导常用句式写作模板针对训练如何写邀请信邀请信包括宴会、舞会、晚餐、聚会、婚礼等各种邀请信件,形式上大体分为两种:一种为正规的格式(formalcorrespondence),一种是非正式格式(informalcorrespondence)。邀请信一定要将邀请的时间(年、月、日、时)、地点、场合写清楚,不能使接信人存在任何疑虑。邀请信是邀请收信人参加某项活动的书信,包含三个方面:1.邀请对方参加活动的内容、时间和地点;2.与该活动有...
SectionⅢIntegratingSkills一二三四一、单词识记1.v.tomoveawayfromaplaceoranenemybecauseyouareindangerorbecauseyouhavebeendefeated2.v.togivesb.thecourageorconfidencetodosth.3.v.toadmitthatyouhavebeendefeatedandwanttostopfighting4.n.planninganddirectinganoperationinawarorcampaign5.v.torepeatexactlywhatsomeoneelsehassaidorwritten6.v.toprovideweaponsforyourself/sb.inordertoprepareforafightorawar7.n....
SectionⅡGrammar一二三一、观察下面两个句子并填空1.Ifyouhadtakenmyadvice,youwouldn’thavefailedintheexamination.如果你听从了我的建议,你就不会考试不及格了。2.WewouldbeinXi’annowifyouhadn’tbeencaughtdrunkdrivinglastmonth.如果上个月你没因酒驾被逮住的话,我们现在已经在西安了。剖析:句1是if引导的与过去事实相反的虚拟条件句,主句谓语动词构成,从句谓语动词构成;句2是if引导的错综条件句,主句是对的虚拟,谓语动...
SectionⅢlntegratingSkills一二三一、根据词性及汉语提示写出相关单词1.announcev.宣布,宣告;声称→n.声明,宣告2.linguisticsn.语言学→n.语言学家3.addv.增加;把加起来vi.(to)增添→n.加,加法;增加的人(或物)4.presentv.陈述,提出→n.现在;礼物5.simpleadj.简单的;朴素的→v.简化,使简明→simplicityn.简单,简易;朴素6.v.结合,联合,使结合→combinationn.结合(体),联合(体),化合7.referv.指的是;参考→n.提到;查阅;参考书目答...
SectionⅡGrammar一二三四一、阅读课文,找出与下列汉语意义匹配的英语句子1.如果说到“交流”,大多数人想到的是单词或句子。2.尽管这些很重要,但我们并不只是通过口语和书面语言交流。3.假如我们的右手用于忙着与人打招呼就不可能握武器。一二三四二、核对答案,并对这几个句子进行逐一剖析1.Ifyousaytheword“communication”,mostpeoplethinkofwordsandsentences.2.Althoughtheseareveryimportant,wecommunicatewithmorethanju...
SectionⅢIntegratingSkills一二三四一、根据英语解释选出英语单词starewipeprolongclassicalhugfuneralpanic1.toputyourarmsaroundsb.2.torubsth.againstasurface,inordertoremovedirt,liquidfromit3.tofeelveryfrightened4.widelyacceptedandusedforalongtime;traditionalinstyleoridea5.tolookatsth.orsb.foralongtime6.ceremonyofburyingorburningdeadpeople7.lengthenintime;causetobeorlastlonger答案:1.hug2.wipe3.panic...
SectionⅣWriting写作指导常用句式写作模板针对训练如何写影评影评即个人看完电影后对电影的看法与评价。写影视评论宜从小处着手,深入挖掘。首先必须掌握电影大意,进而运用准确的语言进行客观叙述。影评一般采用三段式结构。首段是对导演、主角和电影的简介;中段是对电影主要内容的描述;尾段是对电影进行简要的评论。写作指导常用句式写作模板针对训练1.Thestorytakesplacein...2.Thefilm...isabout...3.Thestorygoesthat...4.M...
