DifferentialEquationsandLinearAlgebra(4th)英文无水印原版pdf第4版pdf所有页面使用FoxitReader、PDF-XChangeViewer、SumatraPDF和Firefox测试都可以打开本资源转载自网络,如有侵权,请联系上传者或csdn删除查看此书详细信息请在美国亚马逊官网搜索此书EditorialDirector,Mathematics:ChristinehoagEditor-in-Chief:DeirdreLynchAcquisitionsEditor:WilliamHoffmaProjectTeamLead:ChristinaleProjectmanager:LaurenMorseEditorialAssistant:JenniferSnyderProgramTeamLead:KarenwernholmProgramManagerDaniellesimbajonCoverandillustrationDesign:StudioMontageProgramDesignLead:BethPaquinProductMarketingManagerClaireKozarProductMarketingCoordiator:BrookesmithFieldMarketingManager:EvanStCyrSeniorAuthorSupport/TechnologySpecialist:JoevetereSeniorProcurementSpecialist:CarolMelvilleInteriorDesign,ProductionManagement,AnswerArt,andCompositioneNergizerAptara,LtdCoverImage:LighttrailsonmodernbuildingbackgroundinShanghai,China-hxdyl/123RFCopyrightO2017,2011,2005PearsonEducation,Inc.oritsaffiliates.AllRightsReserved.PrintedintheUnitedStatesofAmerica.Thispublicationisprotectedbycopyright,andpermissionshouldbeobtainedfromthepublisherpriortoanyprohibitedreproduction,storageinaretrievalsystem,ortransmissioninanyformorbyanymeans,electronic,mechanical,photocopyingrecording,orotherwise.Forinformationregardingpermissions,requestformsandtheappropriatecontactswithinthePearsonEducationGlobalRights&Permissionsdepartmentpleasevisitwww.pearsoned.com/permissions/PEARSONandALWAYSLEARNINGareexclusivetrademarksintheU.s.and/orothercountriesownedbyPearsonEducation,Inc.oritsaffiliatesUnlessotherwiseindicatedherein,anythird-partytrademarksthatmayappearinthisworkarethepropertyoftheirrespectiveowandanyreferencestothird-partytrademarks,logosorothertradedressarefordemonstrativeordescriptivepurposesonly.SuchofsuchmarksoranyrelationshipbetweentheownerandPearsonEducation,Inc.oritsaffiliates,authors,licenseesordistributortreferencesarenotintendedtoimplyanysponsorship,endorsement,authorization,orpromotionofPearsonsproductsbytheownersLibraryofCongressCataloging-in-PublicationDataGoode.StephenwDifferentialequationsandlinearalgebra/StephenW.GoodeandScottA.AnninCaliforniastateUniversity,Fullerton.-4theditionpagescmIncludesindexISBN978-0-321-96467-0—ISBN0-32196467-51.Differentialequations.2.Algebras,Linear.I.Annin,Scott.II.TitleQA371.G6442015515’.35-dc23201400601512345678910V031-1918171615PEARSONISBN10:0-321-96467-5www.pearsonhighered.comISBN13:978-0-321-96467-0ContentsPrefacevii1First-OrderDifferentialEquations1.1DifferentialEquationsEverywhere11.2BasicIdeasandTerminology131.3TheGeometryofFirst-OrderDifferentialEquations231.4SeparableDifferentialEquations341.5SomeSimplePopulationModels451.6First-OrderLinearDifferentialEquations531.7ModelingProblemsUsingFirst-OrderLinearDifferentialEquations61.8Changeofvariables711.9ExactDifferentialEquations821.10Numericalsolutiontofirst-OrderDifferentialEquations931.11SomeHigher-OrderDifferentialEquations1011.12ChapterReview1062MatricesandSystemsofLinearEquations1142.1Matrices:Definitionsandnotation1152.2MatrixAlgebra1222.3TerminologyforSystemsofLinearEquations13824R。
w-EchelonMatricesandElementaryR。
wOperations1462.5Gaussianelimination1562.6TheInverseofasquarematrix1682.7ElementaryMatricesandtheLUFactorization1792.8TheInvertiblematrixtheoremi1882.9ChapterReview1903Determinants1963.1TheDefinitionofthedeterminant1963.2PropertiesofDeterminants2093.3CofactorExpansions2223.4SummaryofDeterminants2353.5ChapterReview242iyContents4VectorSpaces2464.1Vectorsinrn2484.2DefinitionofaVectorSpace2524.3Subspaces2634.4SpanningSets2744.5LinearDependenceandLinearIndependence2844.6Basesanddimension2984.7Changeofbasis3114.8RowSpaceandColumnSpace3194.9TheRank-NullityTheorem3254.10InvertibleMatrixTheoremll3314.11ChapterReview3325InnerProductSpaces3395.1DefinitionofanInnerproductspace3405.2OrthogonalSetsofvectorsandorthogonalProjections3525.3Thegram-Schmidtprocess3625.4LeastSquaresApproximation3665.5ChapterReview3766LinearTransformations3796.1Definitionofalineartransformation3806.2Transformationsofr23916.3TheKernelandrangeofalineartransformation3976.4AdditionalPropertiesofLinearTransformations4076.5Thematrixofalineartransformation4196.6Chaiterreview4287EigenvaluesandEigenvectors4337.1TheEigenvalue/EigenvectorProblem4347.2GeneralResultsforEigenvaluesandEigenvectors4467.3Diagonalization4547.4AnIntroductiontotheMatrixExponentialFunction4627.5OrthogonalDiagonalizationandQuadraticforms4667.6Jordancanonicalforms4757.7Chapterreview4888LinearDifferentialEquationsofOrdern4938.1GeneralTheoryforLinearDifferentialEquations4958.2ConstantCoefficientHomogeneousLinearDifferentialEquations5058.3ThemethodofundeterminedcoefficientsAnnihilators5158.4Complex-ValuedTrialSolutions5268.5OscillationsofaMechanicalSystem529Contentsv8.6RLCCircuits5428.7TheVariationofparametersmethod5478.8ADifferentialEquationwithNonconstantCoefficients5578.9Reductionoforder5688.10ChapterReview5739SystemsofDifferentialEquations5809.1First-OrderLinearSystems5829.2VectorFormulation5889.3GeneralResultsforfirst-OrderLinearDifferentialystems5939.4VectorDifferentialEquations:NondefectiveCoefficientMatrix5999.5VectorDifferentialEquations:DefectiveCoefficientMatrix6089.6Variation-of-ParametersforLinearSystems6209.7SomeApplicationsofLinearSystemsofDifferentialEquations6259.8MatrixExponentialFunctionandSystemsofDifferentialEquations6359.9ThePhasePlaneforLinearAutonomousSystems6439.10NonlinearSystems6559.11ChapterReview66310TheLaplaceTransformandSomeElementaryApplications67010.1DefinitionoftheLaplaceTransform67010.2TheExistenceofthelaplacetransformandtheInversetransform67610.3PeriodicFunctionsandtheLaplacetransform68210.4ThetransformofderivativesandsolutionofInitial-Valueproblems68510.5TheFirstShiftingTheorem69010.6TheUnitStepFunction69510.7TheSecondShiftingTheorem69910.8ImpulsiveDrivingTerms:TheDiracDeltaFunction70610.9TheConvolutionIntegral71110.10ChapterReview71711SeriesSolutionstoLinearDifferentiaEquations72211.1AReviewofpowerseries72311.2SeriesSolutionsaboutanOrdinaryPoint73111.3TheLegendreEquation74111.4SeriesSolutionsaboutaRegularSingularPoint75011.5Frobeniustheory75911.6Bessel'sEquationofOrderp77311.7Chapterreview785ViContentsAReviewofComplexNumbers791BReviewofPartialFractions797CReviewofIntegrationTechniques804DLinearlyIndependentSolutionstox2y+xp(x)y+g(x)y=0811Answerstoodd-NumberedExercises814Index849S.W.GoodededicatesthisbooktomeganandtobiS.A.annindedicatesthisbooktoarthurandJuliannthebestparentsanyonecouldaskforPretraceLikethefirstthreeeditionsofDifferentialEquationsandLinearalgebra,thisfourtheditionisintendedforasophomorelevelcoursethatcoversmaterialinbothdifferentialequationsandlinearalgebra.Inwritingthistextwehaveendeavoredtodevelopthestudentsappreciationforthepowerofthegeneralvectorspaceframeworkinformulatingandsolvinglinearproblems.Thematerialisaccessibletoscienceandengineeringstu-dentswhohavecompletedthreesemestersofcalculusandwhobringthematurityofthatsuccesswiththemtothiscourseThistextiswrittenaswewouldnaturallyteachblendinganabundanceofexamplesandillustrations,butnotattheexpenseofadeliberateandrigoroustreatment.MostresultsareprovenindetailHowever,manyofthesecanbeskippedinfavorofamoreproblem-solvingorientedapproachdependingonthereader'sobjectives.Somereadersmayliketoincorporatesomeformoftechnology(computeralgebrasystem(CAS)orgraphingcalculator)andthereareseveralinstancesinthetextwherethepoweroftechnologyisillustratedusingtheCasMaple.Furthermore,manyexercisesetshaveproblemsthatrequiresomeformoftechnologyfortheirsolutionTheseproblemsaredesignatedwithaoIndevelopingthefourtheditionwehaveoncemorekeptmaximumflexibilityofthematerialinmind.Insodoing,thetextcaneffectivelyaccommodatethedifferentemphasesthatcanbeplacedinacombineddifferentialequationsandlinearalgebracourse,thevaryingbackgroundsofstudentswhoenrollinthistypeofcourse,andthefactthatdifferentinstitutionshavedifferentcreditvaluesforsuchacourse.Thewholetextcanbecoveredinafivecredit-hourcourse.Forcourseswithalowercredit-hourvalue,someselectivitywillhavetobeexercised.Forexample,much(orall)ofChapterImaybeomittedsincemoststudentswillhaveseenmanyofthesedifferentialequationstopicsinanearliercalculuscourse,andtheremainderofthetextdoesnotdependonthetechniquesintroducedinthischapter.Alternatively,whileoneofthemajorgoalsofthetextistointerweavethematerialondifferentialequationswiththetoolsfromlinearalgebrainasymbioticrelationshipasmuchaspossible,thecorematerialonlinearalgebraisgiveninChapters2-7sothatitispossibletousethisbookforacoursethatfocusessolelyonthelinearalgebrapresentedinthesesixchapters.ThematerialondifferentialequationsiscontainedprimarilyinChapters1and8-1l,andreaderswhohavealreadytakenafirstcourseinlinearalgebracanchoosetoproceeddirectlytothesechaptersThereareothermeansofeliminatingsectionstoreducetheamountofmaterialtobecoveredinacourse.Section2.7containsmaterialthatisnotrequiredelsewhereinthetext,Chapter3canbecondensedtoasinglesection(Section3.4)forreadersneedingonlyacursoryoverviewofdeterminants,andSections4.7,5.4,andthelatersectionsofChapters6and7couldallbereservedforasecondcourseinlinearalgebra.InChapter8Sections8.4,8.8,and8.9canbeomitted,and,dependingonthegoalsofthecourse,Sections8.5and8.6couldeitherbede-emphasizedoromittedcompletelySimilarremarksapplytoSections9.7-9.10.AtCaliforniaStateUniversity,Fullertonwehaveafourcredit-hourcourseforsophomoresthatisbasedaroundthematerialinChapters1-9viiiPrefaceMajorChangesintheFourthEditionSeveralsectionsofthetexthavebeenmodifiedtoimprovetheclarityofthepresentationandtoprovidenewexamplesthatreflectinsightfulillustrationswehaveusedinourowncoursesatCaliforniaStateUniversity,Fullerton.OthersignificantchangeswithinthetextarelistedbeleOW1.ThechapteronvectorspacesinthepreviouseditionhasbeensplitintotwochaptersChapters4and5)inthepresentedition,inordertofocusseparateattentiononvectorspacesandinnerproductspaces.Theshorterlengthofthesetwochaptersisalsointendedtomakeeachofthemlessdaunting2.Thechapteroninnerproductspaces(Chapter5)includesanewsectionprovidinganapplicationoflinearalgebratothesubjectofleastsquaresapproximation3.Thechapteronlineartransformationsinthepreviouseditionhasbeensplitintotwochapters(Chapters6and7)inthepresentedition.Chapter6isfocusedonlineartransformations,whileChapter7placesdirectemphasisonthetheoryofeigenvaluesandeigenvectors.Oncemore,readersshouldfindtheshorterchapterscoveringthesetopicsmoreapproachableandfocused4.Mostexercisesetshavebeenenlargedorrearranged.Over3,000problemsarenowcontainedwithinthetext,andmorethan600concept-orientedtrue/falseitemsarealsoincludedinthetext5.Everychapterofthebookincludesoneormoreoptionalprojectsthatallowformorein-depthstudyandapplicationofthetopicsfoundinthetext6.ThebackofthebooknowincludestheanswertoeveryTrue-FalsereviewitemcontainedinthetextAcknowledgmentsWewouldliketoacknowledgethethoughtfulinputfromthefollowingreviewersofthefourthedition:JameyBassofCityCollegeofSanFrancisco,TamarFriedmannofUniversityofrochester,andlinghaiZhangofLehighUniversityAlloftheircommentswereconsideredcarefullyinthepreparationofthetextS.A.Annin:Ioncemorethankmyparents,ArthurandJuliannAnnin,fortheirloveandencouragementinallofmyprofessionalendeavors.Ialsogratefullyacknowledgethemanystudentswhohavetakenthiscoursewithmeovertheyearsand,insodoinghaveenhancedmyloveforthesetopicsanddeeplyenrichedmycareerasaprofessorFirst-OrderDifferentiaEquations1.1DifferentialEquationsEverywhereadifferentialequationisanyequationthatinvolvesoneormorederivativesofanunknownfunction.Forexample(1.1.1dxds(S-1)(1.1.2)aredifferentialequations.Inthedifferentialequation(1.1.1)theunknownfunctionordependentvariableisy,andxistheindependentvariable;inthedifferentialequation(1.1.2)thedependentandindependentvariablesareSandt,respectively.Differentialequationssuchas(1.1.1)and(1.1.)inwhichtheunknownfunctiondependsonlyonasingleindependentvariablearecalledordinarydifferentialequations.Bycontrast,thedifferentialequationLaplace'sequation)0involvespartialderivativesoftheunknownfunctionu(x,y)oftwoindependentvariablesxandy.SuchdifferentialequationsarecalledpartialdifferentialequationsOnewayinwhichdifferentialequationscanbecharacterizedisbytheorderofthehighestderivativethatoccursinthedifferentialequationThisnumberiscalledtheorderofthedifferentialequation.Thus,(l1.1)hasordertwo,whereas(1.1.2)isafirst-orderdifferentialequation1
2024/1/26 14:10:04 16.51MB Differential Equations Linear Algebra
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通用的日期格式与儒略日(julian_day)格式的相互转换
2023/5/4 16:29:24 45KB 儒略日 julian day
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2018年IEEE进化计算大会(CEC)提出的全局优化成绩的新的启发式算法。
土狼优化算法(COA)是由JulianoPierezan和LeandrodosSantosCoelho(2018)提出的用于全局优化的自然启发的元启发式算法。
2016/8/19 21:04:57 4KB matlab 土狼优化算法
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说明:1.LunarCalendar对象是以月历为基准的,例如:2014年8月的月历数据。
2.LunarCalendar的所有方法都是针对于农历而言,例如getMonth方法,代表获取的是农历月的数据,而不是公历。
3.LunarCalendar实例化,默认为今天,可以指定为某天,大多数方法都是依据实例化时指定的天而前往数据的。
4.LunarDate类,是某一天的农历数据对象,并且已经拆分,而不是以前那样都混杂在一块。
5.JulianDate类,是公历数据对象。
6.LunarConstant类,是基本常量的数据对象,里面含有大量基本数据。
本次的封装版,实质上还是较为简单,没有进一步深入和挖掘,但也基本够用了。
各位读者可以根据自己的需要进行进一步整理,不过再整理和改造之前,建议还是先了解下相关的知识,否则估计你都无从下手,即便改了,在不了解逻辑的情况下,也容易出错。
2017/6/15 12:36:04 100KB 寿星天 文历 万年历 Java
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DarkCloud-SoundCloud的黑暗模式此扩展将协助您的SoundCloud看起来比平时更酷。
谁不喜欢网站的黑暗味道?是因为它凉爽,还是只想放轻松一点,所以此扩展适合您。
随时为它贡献自己的力量,我会很高兴。
另外,如果您发现了错误,请向我报告。
下载|变更日志v2020.01.28:感谢MyNameIsJulian和Franckevicius:固定特色档案文本修正了特色档案中的徽章感谢MyNameIsJulian:使主体字体略厚以提高可读性修复了删除播放列表按钮图标v2019.12.8:感谢Franckevicius和MyNameIsJulian:修复了“禁用评论”框修复了空的个人资料页面感谢MyNameIsJulian:修复了“使用SoundCloudGo+解锁预览”10.11.2019:v1.0.8.2感谢MyNameIsJulian:与页脚soundcloud徽标增加了更好的色彩集成修复了库中“查看全部”框的模糊使小按钮上的字体粗一些为新用户添加了用于弹出提示和提示的深色主题感谢Franc
2020/2/8 11:14:49 2.41MB chrome-extension chrome extension firefox-addon
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PracticalStatisticsforDataScientists50EssentialConcepts英文无水印转化版pdfpdf一切页面使用FoxitReader、PDF-XChangeViewer、SumatraPDF和Firefox测试都可以打开本资源转载自网络,如有侵权,请联系上传者或csdn删除查看此书详细信息请在美国亚马逊官网搜索此书PracticalstatisticsfordatascientistsbypeterbruceandandrewbruceCopyright@2017PeterBruceandAndrewBruce.AllrightsreservedPrintedintheunitedstatesofamericaPublishedbyo'reillymedia,InC.1005GravensteinHighwayNorth,Sebastopol,Ca95472O'Reillybooksmaybepurchasedforeducational,business,orsalespromotionaluse.onlineeditionsarealsoavailableformosttitles(http:/oreilly.com/safari)Formoreinformation,contactourcorporate/institutionalsalesdepartment:800998-9938orcorporateoreillycom■editor:ShannoncuttProductioneditor.KristenbrownCopyeditor:RachelmonaghanaProofreadereliahusussmanaIndexerEllenTroutman-ZaigaInteriorDesigner:DavidFutatoCoverDesigner:KarenMontgomeryllustrator.rebeccademarestaMay2017:FirstEditionRevisionhistoryfortheFirstedition2017-05-09FirstreleaseSeehttp://oreilly.com/catalog/errata.csp?isbn=9781491952962forreleasedetailsTheoreillylogoisaregisteredtrademarkofo'reillymedia,Inc.PracticalStatisticsforDataScientists,thecoverimage,andrelatedtradedressaretrademarksofo'ReillyMedia,IncWhilethepublisherandtheauthorshaveusedgoodfaitheffortstoensurethattheinformationandinstructionscontainedinthisworkareaccurate,thepublisherandtheauthorsdisclaimallresponsibilityforerrorsoromissions,includingwithoutlimitationresponsibilityfordamagesresultingfromtheuseoforrelianceonthiswork.Useoftheinformationandinstructionscontainedinthisworkisatyourownrisk.Ifanycodesamplesorothertechnologythisworkcontainsordescribesissubjecttoopensourcelicensesortheintellectualpropertyrightsofothers,itisyourresponsibilitytoensurethatyourusethereofcomplieswithsuchlicensesand/orrights978-1-491-95296-2DedicationWewouldliketodedicatethisbooktothememoriesofourparentsVictorgBruceandNancyC.bruce,whocultivatedapassionformathandscienceandtoourearlymentorsJohnW.TukeyandJulianSimon,andourlifelongfriendGeoffWatson,whohelpedinspireustopursueacareerinstatisticsPrefaceThisbookisaimedatthedatascientistwithsomefamiliaritywiththerprogramminglanguage,andwithsomeprior(perhapsspottyorephemeral)exposuretostatistics.Bothofuscametotheworldofdatasciencefromtheworldofstatistics,sowehavesomeappreciationofthecontributionthatstatisticscanmaketotheartofdatascience.atthesametimewearewellawareofthelimitationsoftraditionalstatisticsinstruction:statisticsasadisciplineisacenturyandahalfoldandmoststatisticstextbooksandcoursesareladenwiththemomentumandinertiaofanoceanlinerTwogoalsunderliethisbookTolayout,indigestible,navigable,andeasilyreferencedform,keyconceptsfromstatisticsthatarerelevanttodatascienceToexplainwhichconceptsareimportantandusefulfromadatascienceperspective,whicharelessso,andwhyWhattoExpectKEYTERMSDatascienceisafusionofmultipledisciplines,inchidingstatistics,computerscience,informationtechnology,anddomain-specificfields.Asaresult,severaldifferenttermscouldbeusedtoreferenceaivenconcept.KeytermsandtheirsynonymswillbehighlightedthroughoutthebooknasidebarsuchasConventionsusedinThisbookThefollowingtypographicalconventionsareusedinthisbookItalicIndicatesnewtermsURls.emailaddressesfilenamesandfileextensionsConstantwidthUsedforprogramlistings,aswellaswithinparagraphstorefertoprogramelementssuchasvariableorfunctionnames,databases,datatypes,environmentvariables,statements,andkeywordsConstantwidthboldShowscommandsorothertextthatshouldbetypedliterallybytheuserConstantwidthitalicShowstextthatshouldbereplacedwithuser-suppliedvaluesorbyvaluesdeterminedbycontextTIPThiselementsignifiesatiporsuggestionNOTEThiselementsignifiesageneralnoteWARNINGThiselementindicatesawarningorcautionUsingCodeExamplesSupplementalmaterial(codeexamples,exercises,etc.isavailablefordownloadathttps://github.com/andrewgbruce/statistics-for-data-scientistsThisbookisheretohelpyougetyourjobdone.Ingeneral,ifexamplecodeisofferedwiththisbook,youmayuseitinyourprogramsanddocumentation.youdonotneedtocontactusforpermissionunlessyou'rereproducingasignificantportionofthecode.Forexample,writingaprogramthatusesseveralchunksofcodefromthisbookdoesnotrequirepermission.SellingordistributingaCD-ROMofexamplesfromOReillybooksdoesrequirepermission.answeringaquestionbycitingthisbookandquotingexamplecodedoesnotrequirepermission.Incorporatingasignificantamountofexamplecodefromthisbookintoyourproduct'sdocumentationdoesrequirepermissionWeappreciate,butdonotrequire,attribution.Anattributionusuallyincludesthetitle,author,publisher,andisBN.Forexample:PracticalStatisticsfordataScientistsbyPeterBruceandAndrewBruce(o'Reilly).Copyright2017PeterBruceandandrewbruce.978-1-491-95296-2Ifyoufeelyouruseofcodeexamplesfallsoutsidefairuseorthepermissiongivenabove,feelfreetocontactusatpermissions(@oreilly.comSafari(BooksonlineNOTESafaribooksOnlineisanon-demanddigitallibrarythatdeliversexpertcontentinbothbookandvideoformfromtheworldsleadingauthorsintechnologyandbusinessTechnologyprofessionals,softwaredevelopers,webdesigners,andbusinessandcreativeprofessionalsuseSafariBooksOnlineastheirprimaryr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2017/10/13 19:32:36 13.09MB Practical Statistics Data Scientists
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accuracey,curvefitting,iteration,sortingnumbers,julianday,dateofester....
2019/2/8 10:58:14 11.99MB 算法
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(含源码及报告)本程序分析了自2016年到2021年(外加)每年我国原油加工的产量,并且分析了2020年全国各地区原油加工量等,含饼状图,柱状图,折线图,数据在地图上显示。
运转本程序需要requests、bs4、csv、pandas、matplotlib、pyecharts库的支持,如果缺少某库请自行安装后再运转。
文件含6个excel表,若干个csv文件以及一个名字为render的html文件(需要用浏览器打开),直观的数据处理部分是图片以及html文件,可在地图中显示,数据处理的是excel文件。
不懂可以扫文件中二维码在QQ里面问。
2022/9/30 16:31:44 29.75MB 爬虫 python 源码软件 开发语言
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在日常工作中,钉钉打卡成了我生活中不可或缺的一部分。然而,有时候这个看似简单的任务却给我带来了不少烦恼。 每天早晚,我总是得牢记打开钉钉应用,点击"工作台",再找到"考勤打卡"进行签到。有时候因为工作忙碌,会忘记打卡,导致考勤异常,影响当月的工作评价。而且,由于我使用的是苹果手机,有时候系统更新后,钉钉的某些功能会出现异常,使得打卡变得更加麻烦。 另外,我的家人使用的是安卓手机,他们也经常抱怨钉钉打卡的繁琐。尤其是对于那些不太熟悉手机操作的长辈来说,每次打卡都是一次挑战。他们总是担心自己会操作失误,导致打卡失败。 为了解决这些烦恼,我开始思考是否可以通过编写一个全自动化脚本来实现钉钉打卡。经过一段时间的摸索和学习,我终于成功编写出了一个适用于苹果和安卓系统的钉钉打卡脚本。
2024-04-09 15:03 15KB 钉钉 钉钉打卡