精编WORD文档下载可编缉打印下载文档,远离加班熬夜测绘工程专业英语翻译篇一:测绘工程专业英语课文翻译Unit9BasicStatisticalAnalysisofRandomErrors(随机误差的统计学基本分析)Randomerrorsarethosevariablesthatremainaftermistakesaredetectedandeliminatedandallsystematicerrorshavebeenremovedorcorrectedfromthemeasuredvalues.【eliminate】后,并且所有系统误差被从测量值中移除或修正后,保留下的那些变量【variable变量、变化n.】)Theyarebeyondthecontroloftheobserver.Sotherandomerrorsareerrorstheoccurrenceofwhichdoesnotfollowadeterministicpattern.确定性的】模式【pattern】而发生的误差)Inmathematicalstatistics,theyareconsideredasstochasticvariables,anddespitetheirirregularbehavior,thestudyofrandomerrorsinanywell-conductedmeasuringprocessorexperimenthasindicatedthatrandomerrorsfollowthefollowingempiricalrules:【mathematicalstatistics】中,它们被当成随机变量【stochasticvariable】,尽管它们的行为无规律,在任一正确的【well-conducted原意为品行端正的,这精编WORD文档下载可编缉打印下载文档,远离加班熬夜里指测量实验和活动是无误的】测量活动和实验中,对的随机误差的研究显示【indicate】随机误差遵循以下经验法则【empirical⑴Arandomerrorwillnotexceedacertainamount.(随即误差不会超过一个确定的值)⑵Positiveandnegativerandomerrorsmayoccuratthesamefrequency.(正负误差出现的频率相同)⑶Errorsthataresmallinmagnitudearemorelikelytooccurthanthosethatarelargerinmagnitude.比数值大的误差出现可能性大【belikelyto可能】)⑷Themeanofrandomerrorstendstozeroasthesamplesizetendstoinfinite.随机误差的平均值趋近于0)Inmathematicalstatistics,randomerrorsfollowstatisticalbehaviorallawssuchasthelawsofprobability.【statistical】行为【behavioral行为的】规律,如概率法则)Acharacteristictheoreticalpatternoferrordistributionoccursuponanalysisofalargenumberofrepeatedmeasurementsofaquantity,whichconformtonormalorGaussiandistribution.观测分析【analysisn.】中的误差分布的一个特征理论模式,遵照【conformto遵照】正态或高斯分布)【在对一个量进行大精编WORD文档下载可编缉打印下载文档,远离加班熬夜量重复观测分析后,得到一个误差分布的理论特征——正态或高斯分布】Theplotoferrorsizesversusprobabilitieswouldapproachasmoothcurveofthecharacteristicbell-shape.与……相对】概率的关系图,接近一条光滑的特有的【characteristic特有的】钟形曲线。)Thiscurveisknownasthenormalerrordistributioncurve.称为正态分布曲线)Itisalsocalledtheprobabilitydensityfunctionofanormalrandomvariable.【probabilitydensity】函数)Itisimportanttonoticethatthetotalareaoftheverticalbarsforeachplotequals1.Thisistruenomatterthevalueofn(thenumberofsinglecombinedmeasurements),andthustheareaunderthesmoothnormalerrordistributioncurveisequalto1.量数目【独立观测数】)是多少,在光滑的误差正态分布曲线下的面积都是1。)Ifaneventhasaprobabilityof1,itiscertaintooccur,andthereforetheareaunderthecurverepresentsthesumofalltheprobabilitiesoftheoccurrenceoferrors.线下方的面积代表了所有误差发生的概率。)Anumberofpropertiesthatrelatearandomvariable精编WORD文档下载可编缉打印下载文档,远离加班熬夜anditsprobabilitydensityfunctionareusefulinourunderstandingofitsbehavior.具【property】与随机变量和它的概率密度函数有关,有助于我们理解它的行为)Meanandstandarddeviationaretwomostpopularstatisticalpropertiesofarandomvariable.计工具【property】)Generally,arandomvariablewhichisnormallydistributedwithameanandstandarddeviationcanbewritteninsymbolformasN(μ,σ2).地,一个通常由平均值和标准偏差描述的随机变量可以用符号【symbol】表示为N(μ,σ2Theycanbeexplainedasfollows.Mean:Themostcommonlyusedmeasureofcentraltendencyisthemeanofasetofdata(asample).【measure】就是一系列数据(一个样本)的平均值)Theconceptofmeanreferstothemostprobablevalueoftherandomvariable.Itisalsocalledbyanyoftheseveralterms—expectation,expectedvalue,meanoraverage.平均值或平均值)ThemeanisdefinedasWherexiaretheobservations,nisthesamplesize,ortotalnumberofobservationsinthesample,andxisthemeanwhichisalsocalledmost精编WORD文档下载可编缉打印下载文档,远离加班熬夜probablevalue(MPV).测值的总数,x是平均值,经常被称为最或是值(MPV)TheMPVistheclosestapproximationtothetruevaluethatcanbeeasilyachievedfromasetofdata.【approximation】,可以很容易由一系列数据得到。)Itcanbeshownthatthearithmeticmeanofasetofindependentobservationsisanunbiasedestimateofthemeanμofthepopulation.以看出【Itcanbeshownthat】一系列独立【independent】观测值的算数平均值【arithmeticmean】是一个样本【population】的期望值μ的无偏估计【unbiasedestimate】。)Standarddeviationisanumericalvalueindicatingtheamountofvariationaboutacentralvalue.指示【indicate】相对于中值的偏离)Inordertoappreciatetheconceptuponwhichindices【index的复数】ofprecisiondevolveonemustconsiderameasurethattakesintoaccountallthevaluesinasetofdata.(考虑一系列数据的所有值精度指标必需顾及一个量,这个量考虑到【takesintoaccount考虑】一组【asetof】数据的所有值)Suchameasureisthedeviationfromthemeanxofeachobservedvaluexii.e.(xi-x),andthemeanofthe精编WORD文档下载可编缉打印下载文档,远离加班熬夜squaresofthedeviationsmaybeused,andthisiscalledthevarianceσ2,的离差【deviation】,也就是,(xi-x),离差的平方的平均值被采用,称之为方差σ2)Whereμisthemean(expectation)ofthepopulation.体【样本】的平均值(期望值)。)篇二:测绘工程专业英语翻译1~6Uuit1WhatisGeomatics?(什么是测绘学)GeomaticsDefined(测绘学定义)WheredoesthewordGeomaticscomefrom?(Geomatics-测绘或地球空间信息学,这个名词是怎么来的呢?)GEODESY+GEOINFORMATICS=GEOMATICSorGEO-forearthand–MATICSformathematicalorGEO-forGeoscienceand-MATICSforinformatics.(大地测量学+地理信息学=GEOMATICS测绘学或者geo代表地球,matics代表数学,或者geo代表地球科学,matics代表信息学)Ithasbeensaidthatgeomaticsismanythingstomanypeople.(据说测绘学这个词对不同的人有不同的理解)ThetermgeomaticsemergedfirstinCanadaandasanacademicdiscipline;ithasbeenintroducedworldwideinanumberofinstitutesofhighereducationduringthepastfewyears,mostlybyrenamingwhatwaspreviouslycalled“geodesy”or“surveying”,andbyaddinganumberof精编WORD文档下载可编缉打印下载文档,远离加班熬夜computerscienceand/orGIS-orientedcourses.(这个术语作为一个学科第一次形成于加拿大;在过去的几年里被全世界的许多高等教育研究机构所熟知,通常是以前的“大地测量学”或“测量学”在引入了许多计算机科学和GIS方向的课程后重新命名的。)Nowthetermincludesthetraditionalsurveyingdefinitionalongwithsur