我的课程作业……包括Metropolis，MetropolisHastings，LaplaceApproximation，Gibbs，Bayesianlinerregression，Bayesianlogisticregression的原理简单介绍和算法，水平有限一定会有错，发这就是为了保存一下我辉煌的过去，我还这么认真学习过呜呜呜

差分、梯度、Roberts、sobel、Prewitt、Laplace边缘检测算子的介绍、评估和比较很实用的一篇文章，拿来和大家共享

奥本海姆（AlanV．Oppenheim）教授是美国麻省理工学院电子学研究实验室（ELE）的首席研究员，其研究领域包括在一般领域的信号处理及应用。
奥本海默教授是美国国家工程院院士（NationalAcademyofEngineering）和IEEE会士，也是EtaKappaNu和SigmaXi的联谊会会员。
同时他还是古根海姆（Guggenheim）学者和以色列特拉维夫大学赛克勒尔（Sackler）学者。
奥本海姆教授因其出色的科研和教学工作多次获奖，其中包括IEEE教育勋章、IEEE百年杰出贡献奖、IEEE在声学、语音和信号处理领域的社会与科学成就奖和资深成就奖。
2007年他还获得了IEEEJackS．Kilby信号处理奖章。
目录第1章信号与系统SignalsandSystems第2章线性时不变系统LinearTime—InvariantSystems第3章周期信号的傅里叶级数表示FourierSeriesRepresentationofPeriodicSignals第4章连续时间傅里叶变换TheContinuous—TimeFourierTransform第5章离散时间傅里叶变换TheDiscreteTimeFourierTransf01Tll第6章信号与系统的时域和频域特性Time—andFrequeneyCharacterizationofSignalsandSystems第7章抽样Sampling第8章通信系统CommunicationSystems第9章拉普拉斯变换TheLaplaceTransform第10章Z变换TheZTransf01TII第11章线性反馈系统LinearFeedbackSystems附录部分分式展开Partial-FractionExpansion参考文献Bibliography习题答案Answers索引Inde

MATLAB有限差分法求解拉普拉斯（Laplace）方程，长直接地金属矩形槽内部电位分布

最大概率分词算法，带详细源码基于最大概率的汉语切分目标：采用最大概率法进行汉语切分。
其中：n-gram用bigram，平滑方法至少用Laplace平滑。
输入：接收一个文本，文本名称为：corpus_for_test.txt输出：切分结果文本，其中：切分表示：用一个字节的空格“”分隔，如：我们在学习。
每个标点符号都单算一个切分单元。
输出文件名为：学号.txt

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

1、古典显式格式求解抛物型偏微分方程（一维热传导方程）2、古典隐式格式求解抛物型偏微分方程（一维热传导方程）3、Crank-Nicolson隐式格式求解抛物型偏微分方程4、正方形区域Laplace方程Diriclet问题的求解如：function[Uxt]=PDEParabolicClassicalExplicit(uX,uT,phi,psi1,psi2,M,N,C)%古典显式格式求解抛物型偏微分方程%[Uxt]=PDEParabolicClassicalExplicit(uX,uT,phi,psi1,psi2,M,N,C)%%方程：u_t=C*u_xx0<=x<=uX,0<=t<=uT%初值条件：u(x,0)=phi(x)%边值条件：u(0,t)=psi1(t),u(uX,t)=psi2(t)

Despitetheincreasinguseofcomputers,thebasicneedformathematicaltablescontinues.Tablesserveavitalroleinpreliminarysurveysofproblemsbeforeprogrammingformachineoperation,andtheyareindispensabletothousandsofengineersandscientistswithoutaccesstomachines.Becauseofautomaticcomputers,however,andbecauseofrecentscientificadvances,agreatervarietyoffunctionsandahigheraccuracyoftabulationthanhavebeenavailableuntilnowarerequired.In1954,aconferenceonmathematicaltables,sponsoredbyM.I.T.andtheNationalScienceFoundation,mettodiscussamodernizationandextensionofJahnkeandEmde'sclassicaltablesoffunctions.Thisvolume,published10yearslaterbytheU.S.DepartmentofCommerce,istheresult.Designedtoincludeamaximumofinformationandtomeettheneedsofscientistsinallfields,itisamonumentalpieceofwork,acomprehensiveandself-containedsummaryofthemathematicalfunctionsthatariseinphysicalandengineeringproblems.Thebookcontains29setsoftables,sometoashighas20places:mathematicalconstants;physicalconstantsandconversionfactors(6tables);exponentialintegralandrelatedfunctions(7);errorfunctionandFresnelintegrals(12);Besselfunctionsofinteger(12)andfractional(13)order;integralsofBesselfunctions(2);Struveandrelatedfunctions(2);confluenthypergeometricfunctions(2);Coulombwavefunctions(2);hypergeometricfunctions;Jacobianellipticandthetafunctions(2);ellipticintegrals{9);Weierstrassellipticandrelatedfunctions;paraboliccylinderfunctions{3);Mathieufunctions(2);spheroidalwavefunctions(5);orthogonalpolynomials(13);combinatorialanalysis(9);numericalinterpolation,differentiationandintegration(11);probabilityfunctions(ll);scalesofnotation(6);miscellaneousfunctions(9);Laplacetransforms(2);andothers.Eachofthesesectionsisprefacedbyalistofrelatedformulasandgraph

%Thisfoldercontainsacollectionof"fitting"functions.%(Somehasdemooptions-thethirdsection)%TheGENERALinputtothefunctionsshouldbesamplesofthedistribution.%%forexample,ifwearetofitanormaldistribution('gaussian')withamean"u"andvaraince"sig"^2%thenthesampleswilldistributelike:%samples=randn(1,10000)*sig+u%%fittingwithLeast-Squaresisdoneonthehistogramofthesamples.%fittingwithMaximumlikelihoodisdonedirectlyonthesamples.%%%Contentsofthisfolder%=======================%1)Maximumlikelihoodestimators%2)Leastsquaresestimators%3)EMalgorithmforestimationofmultivariantgaussiandistribution(mixedgaussians)%4)addedfolders:Create-whichcreatesamplesfortheEMalgorithmtest%Plot-usedtoploteachofthedistributions(parametricplot)%%%%%%Maximumlikelihoodestimators%=============================%fit_ML_maxwell-fitmaxwelliandistribution%fit_ML_rayleigh-fitrayleighdistribution%(whichisforexample:sqrt(abs(randn)^2+abs(randn)^2))%fit_ML_laplace-fitlaplacedistribution%fit_ML_log_normal-fitlog-normaldistribution%fit_ML_normal-fitnormal(gaussian)distribution%%NOTE:allestimatorsareefficientestimators.forthisreason,thedistribution%mightbewritteninadifferentway,forexample,the"Rayleigh"distribution%isgivenwithaparameter"s"andnot"s^2".%%%leastsquaresestimators%=========================%fit_maxwell_pdf-fitsagivencurveofamaxwelliandistribution%fit_rayleigh_pdf-fitsagivencurveofarayleighdistribution%%NOTE:thesefitfunctionareusedonahistogramoutputwhichislikeasampled%distributionfunction.thegivencurveMUSTbenormalized,sincetheestimator%istryingtofitanormalizeddistributionfunction.%%%%%MultivariantGaussiandistribution%==================================%fordemoof1

TheScientistandEngineer'sGuidetoDigitalSignalProcessingSecondEditionbyStevenW.SmithCaliforniaTechnicalPublishingSanDiego,California**纯PDF版、非扫描版、非影印版**ContentsataGlanceFOUNDATIONSChapter1.TheBreadthandDepthofDSPChapter2.Statistics,ProbabilityandNoiseChapter3.ADCandDACChapter4.DSPSoftwareFUNDAMENTALSChapter5.LinearSystemsChapter6.ConvolutionChapter7.PropertiesofConvolutionChapter8.TheDiscreteFourierTransformChapter9.ApplicationsoftheDFTChapter10.FourierTransformPropertiesChapter11.FourierTransformPairsChapter12.TheFastFourierTransformChapter13.ContinuousSignalProcessingDIGITALFILTERSChapter14.IntroductiontoDigitalFiltersChapter15.MovingAverageFiltersChapter16.Windowed-SincFiltersChapter17.CustomFiltersChapter18.FFTConvolutionChapter19.RecursiveFiltersChapter20.ChebyshevFiltersChapter21.FilterComparisonAPPLICATIONSChapter22.AudioProcessingChapter23.ImageFormationandDisplayChapter24.LinearImageProcessingChapter25.SpecialImagingTechniquesChapter26.NeuralNetworks(andmore!)Chapter27.DataCompressionChapter28.DigitalSignalProcessorsChapter29.GettingStartedwithDSPsCOMPLEXTECHNIQUESChapter30.ComplexNumbersChapter31.TheComplexFourierTransformChapter32.TheLaplaceTransformChapter33.Thez-TransformGlossaryIndex

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。