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数学分析有理数无理数集合函数绝对值不等式三角形区域邻域确界原理确界上确界下确界开区间闭区间有界集自变量因变量符号函数定义域值域复合函数反函数初等函数常量函数幂函数指数函数对数函数三角函数反三角函数有界函数单调函数奇函数偶函数周期函数数列极限收敛数列发散数列唯一性有界性保号性保不等式性MathematicalanalysisRationalnumberirrationalAcollectionoffunctionTheabsolutevalueinequalitytriangleareaneighborhoodWorldindeedprincipleWorldindeedsupremuminfimumOpenintervalClosedintervalBoundedsetTheindependentvariablesThedependentvariableSymbolicfunctiondomaindomainCompositefunctionInversefunctionElementaryfunctionConstantfunctionPowerfunctionExponentialfunctionLogarithmicfunctionTrigonometricfunctionsInversetrigonometricfunctionBoundedfunctionMonotonicfunctionOddfunctionEvenfunctionsPeriodicfunctionSequencelimitConvergentsequenceDivergentseriesuniquenessboundednessProtecting,Protectingtheinequality保不等式性迫敛性四则运算法则子列单调数列单调有界定理自然对数致密性定理柯西收敛准则函数极限单侧极限局部有界性海涅定理无穷小量有界量高阶无穷小量等价无穷小量无穷大量渐近线连续性可去间断点跳跃间断点分段函数介值性定理一致连续性导数和微分单侧导数导函数极大值极小值费马定理稳定点链式法则光滑曲线高阶导数莱布尼茨公式微分可微函数高阶微分微分中值定理罗尔定理拉格朗日中值定理ProtectingtheinequalityForcedconvergencepropertyFouralgorithmsThechildcolumnsMonotonesequenceMonotonyisdefinedNaturallogarithmCompactnesstheoremCauchyconvergencecriteriaFunctionlimitUnilaterallimitLocalboundednessHeinetheoremdimensionlessAboundedamountHighorderdimensionlessEquivalentinfinitesmallinfinityasymptotecontinuityTogodiscontinuitiesJumpdiscontinuitypointPiecewisefunctionIntermediatevaluetheoremUniformcontinuityDerivativeanddifferentialUnilateralderivativeDerivedfunctionThemaximumminimumFermat'stheoremThestablepointThechainruleSmoothcurveHigherderivativeLeibnizformuladifferentialDifferentialfunctionHighorderdifferentialDifferentialmeanvaluetheoremRoller'stheoremLagrangemeanvaluetheorem导数极限定理达布定理柯西中值定理不定式极限泰勒公式佩亚诺型余项泰勒多项式麦克劳林公式极值凸性拐点凸函数凹函数詹森不等式实数的完备性区间套定理魏尔斯特拉斯聚点定理有限覆盖定理开覆盖无限开覆盖有限开覆盖上极限下极限最大聚点最小聚点不定积分原函数换元积分法分部积分法有理函数待定系数法三角函数有理式欧拉变换定积分分割模积分和黎曼和黎曼可积牛顿—莱布尼茨公式ThederivativelimittheoremDarbouxtheoremCauchymid-valuetheoremareobtainedInfinitivelimitTaylorformulaMorethanjarnotypeTaylorpolynomialMcLaughlinformulaTheextremeconvexityInflectionpointConvexfunctionConcavefunctionJensen'sinequalityCompletenessofrealNumbersNestedintervaltheoremChriswhales,larsaccumulationpointtheoremLimitedcoveringtheoremOpencoverTheinfiniteopencoverLimitedopencoverOnthelimitUnderthelimitThebiggestaccumulationpointTheweek-longpointIndefiniteintegralThefunctionIntegralmethodinyuanDivisionofintegralmethodRationalfunctionMethodofundeterminedcoefficientsTrigonometricfunctionrationalexpressionEulertransformationDefiniteintegralsegmentationdieIntegralandRiemannandRiemannintegralNewton-Leibnizformula可积条件充要条件可积函数类振幅狄利克雷函数黎曼函数积分第一中值定理积分第二中值定理积分型余项上积分下积分施瓦茨不等式闵可夫斯基不等式弧长曲率微元法反常积分无界函数瑕积分绝对收敛柯西判别法狄利克雷判别法阿贝尔判别法阿基米德性数项级数敛散性级数收敛比式判别法根式判别法积分判别法交错级数绝对收敛级数条件收敛级数函数列一致收敛性内闭一致收敛函数项级数收敛域魏尔斯特拉斯判别法IntegrableconditionNecessaryandsufficientconditionIntegrablefunctionclassTheamplitudeDirichletfunctionRiemannfunctionThefirstmeanvaluetheoremforintegralsSecondmeanvaluetheoremforintegralsMorethanintegraltypeTheintegralTheintegralSchwartzinequalityMinkowskiinequalityArclengthThecurvatureThemicroelementmethodImproperintegralUnboundedfunctionDefectintegralAbsoluteconvergenceCauchycriterionDirichletcriterionAbelcriterionArchimedeanitySeveralseriesDivergencesexTheseriesconvergenceThantypecriterionRadicalcriterionIntegralcriterionAlternatingseriesAbsolutelyconvergentseriesConditionsofconvergentseriesFunctioncolumnUniformconvergenceWithinthecloseduniformconvergenceSeriesexpressedbyfunctiontermsConvergencedomainChriswhales,criterion收敛区间收敛半径傅里叶级数周期三角级数收敛定理按段光滑贝塞尔不等式多元函数余集边界开集闭集连通性闭域点集直径区域有界点集累次极限重极限有界闭域微分学偏导数连续可微法线内函数外函数全微分方向导数梯度凸区域中值公式中值定理黑赛矩阵隐函数显函数隐函数定理隐含数组一一映射逆映射切平面法线ConvergencerangeRadiusofconvergenceFourierseriescycleTrigonometricseriesConvergencetheoremAccordingtotheperiodofsmoothBesselinequalityMultivariatefunctionIsetTheborderOpensetClosedsetconnectivityCloseyourdomainPointsetThediameterofareaAboundedsetofpointsTheiteratedlimitWeightlimitBoundedclosedregionDifferentialcalculusPartialderivativeContinuouslydifferentialnormalWithinthefunctionOutsidethefunctionTotaldifferentialDirectionalderivativeThegradientConvexregionThemedianformulaMeanvaluetheoremTheblackracematrixImplicitfunctionExplicitfunctionTheimplicitfunctiontheoremImplicitarrayOne-to-onemappingTheinversemappingThetangentplanenormal含参量积分欧拉积分伽玛函数贝塔函数曲线积分重积分可求面积二重积分三重积分格林公式单连通区域复连通区域极坐标变换被积函数积分变量柱坐标变换球坐标变换反常二重积分无界区域曲面积分高斯公式斯托克斯公式向量场梯度场散度场旋度场向量函数微分学IntegralcontainingparametersEulerintegralThegammafunctionBetafunctionCurvilinearintegralDoubleintegralAskfortheareaDoubleintegralTripleintegralGreen'stheoremSimplyconnectedregionAfterconnectedareaPolarcoordinatetransformationintegrandTheintegralvariableColumncoordinatetransformationTheballcoordinatetransformationAbnormaldoubleintegralUnboundedregionSurfaceintegralGaussformulaStokesformulaofvectorfieldGradientfieldThedivergencefieldThecurlfieldVectorfunctiondifferentialcalculus专业名词集锦矩阵{数}matrix;array矩阵变换法matrixtransformmethod;矩阵表示matrixnotation;matrixrepresentation;矩阵表示法matrixrepresentation;矩阵代数matrixalgebra;algebraofmatrices;矩阵定理matrixtheorem;矩阵法matrix