数学分析

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Mathematical analysisRational numberirrationalA collection offunctionThe absolute valueinequalitytriangleareaneighborhoodWorld indeed principleWorld indeedsupremuminfimumOpen intervalClosed intervalBounded setThe independent variablesThe dependent variableSymbolic functiondomaindomainComposite functionInverse functionElementary functionConstant functionPower functionExponential functionLogarithmic functionTrigonometric functionsInverse trigonometric functionBounded functionMonotonic functionOdd functionEven functionsPeriodic functionSequence limitConvergent sequenceDivergent seriesuniquenessboundednessProtecting,Protecting the inequality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Protecting the inequalityForced convergence propertyFour algorithmsThe child columnsMonotone sequenceMonotony is definedNatural logarithmCompactness theoremCauchy convergence criteriaFunction limitUnilateral limitLocal boundednessHeine theoremdimensionlessA bounded amountHigh order dimensionlessEquivalent infinite smallinfinityasymptotecontinuityTo go discontinuitiesJump discontinuity pointPiecewise functionIntermediate value theoremUniform continuityDerivative and differentialUnilateral derivativeDerived functionThe maximumminimumFermat's theoremThe stable pointThe chain ruleSmooth curveHigher derivativeLeibniz formuladifferentialDifferential functionHigh order differentialDifferential mean value theoremRoller's theoremLagrange mean value theorem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The derivative limit theoremDarboux theoremCauchy mid-value theorem are obtained Infinitive limitTaylor formulaMore than jarno typeTaylor polynomialMcLaughlin formulaThe extremeconvexityInflection pointConvex functionConcave functionJensen's inequalityCompleteness of real NumbersNested interval theoremChris whales, lars accumulation point theorem Limited covering theoremOpen coverThe infinite open coverLimited open coverOn the limitUnder the limitThe biggest accumulation pointThe week-long pointIndefinite integralThe functionIntegral method in yuanDivision of integral methodRational functionMethod of undetermined coefficients Trigonometric function rational expression Euler transformationDefinite integralsegmentationdieIntegral andRiemann andRiemann integralNewton-Leibniz formula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Integrable conditionNecessary and sufficient condition Integrable function classThe amplitudeDirichlet functionRiemann functionThe first mean value theorem for integrals Second mean value theorem for integrals More than integral typeThe integralThe integralSchwartz inequalityMinkowski inequalityArc lengthThe curvatureThe micro element methodImproper integralUnbounded functionDefect integralAbsolute convergenceCauchy criterionDirichlet criterionAbel criterionArchimedeanitySeveral seriesDivergence sexThe series convergenceThan type criterionRadical criterionIntegral criterionAlternating seriesAbsolutely convergent series Conditions of convergent series Function columnUniform convergenceWithin the closed uniform convergence Series expressed by function terms Convergence domainChris whales, 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Convergence rangeRadius of convergenceFourier seriescycleTrigonometric seriesConvergence theoremAccording to the period of smoothBessel inequalityMultivariate functionI setThe borderOpen setClosed setconnectivityClose your domainPoint setThe diameter ofareaA bounded set of pointsThe iterated limitWeight limitBounded closed regionDifferential calculusPartial derivativeContinuously differentialnormalWithin the functionOutside the functionTotal differentialDirectional derivativeThe gradientConvex regionThe median formulaMean value theoremThe black race matrixImplicit functionExplicit functionThe implicit function theoremImplicit arrayOne-to-one mappingThe inverse mappingThe tangent planenormal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Integral containing parametersEuler integralThe gamma functionBeta functionCurvilinear integralDouble integralAsk for the areaDouble integralTriple integralGreen's theoremSimply connected regionAfter connected areaPolar coordinate transformationintegrandThe integral variableColumn coordinate transformationThe ball coordinate transformationAbnormal double integralUnbounded regionSurface integralGauss formulaStokes formula of vector fieldGradient fieldThe divergence fieldThe curl fieldVector function differential calculus专业名词集锦矩阵{数} matrix; array矩阵变换法matrix transform method;矩阵表示matrix notation; matrix representation;矩阵表示法matrix representation;矩阵代数matrix algebra; algebra of matrices;矩阵定理matrix theorem;矩阵法matrix method; matrix technique;矩阵范数matrix norm;矩阵方程matrix equation;矩阵方法matrix method;矩阵分块partitioning of matrix;矩阵分数matrix fraction;矩阵分析matrix analysis;矩阵符号matrix notation;矩阵函数matrix function; function of a matrix;矩阵环matrix ring;矩阵迹traces of matrix;矩阵计算matrix computation; matrix calculation; matrix calculus; 矩阵记号matrix notation;矩阵阶order of a matrix;矩阵解法matrix solution;矩阵列rectangular array;矩阵论matrix theory;矩阵群matrix group;矩阵特征根characteristic root of a matrix;矩阵特征值matrix eigenvalue;矩阵微分方程matrix differential equation;矩阵元素{数} matrix element;矩阵运算matrix operation;矩阵组set of matrices正则{数} {物} canonical; regular正则边界regular boundary;正则变换regular transformation;正则表示regular representation;正则参数regular parameter;正则点regular point;正则方程式regular equation;正则分布canonical distribution;正则函数regular function;正则化regularization;正则矩阵regular matrix;正则空间regular space;正则扩张regular extension;正则理想regular ideal;正则列regular column;正则奇点regular singular point; regular singularity;正则群regular group;正则-P群regular P-group;正则算子regular operator;正则微分方程regular differential equation;正则系统canonical system;正则形式canonical form;正则性regularity;正则映射regular mapping;正则值regular value;正则坐标canonical coordinates微分{数} differential:全微分total differential;偏微分partial differential;二项式微分binomial differential; differentiation微分包含differential inclusion;微分表示differential representation;微分参数differential parameter;微分-差分方程differential-difference equation;微分代数differential algebra;微分动力系统differentiable dynamical system;微分动态规划differential dynamic programming;微分多项式differential polynomial;微分方程（式）{数} differential equation;微分方程解法solution of differential equation;微分方程组simultaneous differential equations;微分符号differential sign;微分积分方程式differential-integral equation;微分几何（学）differential geometry;微分矩阵differential matrix;微分曲线differential curve;微分算符differentiating operator; differential operator; 微分算子differentiating operator; differential operator; 微分系数differential coefficient; differential quotient; 微分线性differential linearity微分形式differential form;微分学differential calculus;微分映射differentiable mapping;积分{数} integral; integrate; integration:定积分definite; integral;不定积分indefinite integral积分变换integral transformation; integral transform;积分变换法integral-transform method;积分变量integration variable;积分变数integral variable; variable of integration;积分表table of integrals;积分表示integral representation;积分不等式integral inequality;积分差分方程integro-difference equation;积分常数integral constant; integration constant;积分对数integral logarithm;积分法integration;积分方程（式）integral equation;积分公式integral formula; formula of integration;积分号sign of integration;积分几何学integral geometry;积分区间integrating range;积分曲线integral curves;积分算子integral operator;积分微分方程integral differential equation;积分-微分算子integro-differential operator;积分微分运算integral differential operation;积分学integral calculus;积分因数(子) integrating factor;积分域domain of integration; field of integration;正交{数} {物} {电} orthogonal; perpendicular; normal; orthogonality; quadrature正交变换{数} orthogonal transformation;正交变换器quadrature transformer;正交表orthogonal array;正交表示orthogonal representation;正交补{数}orthogonal complement;正交单位向量组{数} orthogonal vectors;正交多项式{数} orthogonal polynomial;正交关系orthogonality relation;正交轨线{数} orthogonal trajectory;正交函数orthogonal function;正交函数系orthogonal function system;正交函数展开式orthogonal function expansion;正交函数族orthogonal family of function;正交矩阵{数} orthogonal matrix;正交曲面{光} normal surface; orthogonal surface;正交曲线系orthogonal system of curves;正交射影orthogonal projection; orthographic;正交投影{测} rectangular projection;正交系{数} orthogonal system;正交（晶）系rhombic system; orthorhombic system;正交线{数} cross line;正交向量{数} orthogonal vectors;正交性{数} orthogonality;正交元素{数} orthogonal elements; orthogonal quantities;正交阵列orthogonal array;正交直线组{数} orthogonal lines;正交坐标orthogonal coordinates;正交坐标系orthogonal coordinate system特征characteristic; feature; properties; aspect; trait:特征变量characteristic variable;特征参数characteristic parameter;特征常数characteristic constant;特征点characteristic point;特征多项式characteristic polynomial;特征二次型{数} characteristic quadratic form;特征泛函characteristic functional;特征法characteristic method;特征方程characteristic equation; proper equation;特征根characteristic root; latent root;特征函数characteristic function; eigenfunction; proper function; 特征集feature set;特征矩阵eigenmatrix; characteristic matrix;特征空间feature space;特征数characteristic;特征线characteristic curve; characteristic line; characteristics;特征线法method of characteristic curves; characteristics method; 特征向量characteristic vector; feature vector;特征因数characteristic factor;特征元characteristic element;特征子群characteristic subgroup有界{数} bounded有界变差 bounded variation; limited variation;有界变差函数 functions of bounded variation;有界变数 bounded variable;有界表示 bounded representation;有界泛函 bounded functional;有界函数 bounded function;有界集 bounded aggregate; bounded set; limited set;有界量 bounded quantity;有界区域 bounded domain;有界数集 bounded set of numbers;有界算子 bounded operator;有界投影 bounded projection;有界性 boundedness;有界序列 bounded sequence线性{数}linear;linearity线性表示：linear expression线性常微分方程：linear ordinary differential equation；线性代数：linear algebra；线性代数方程：linear algebraic equation；线性代数方程组：simultaneous linear algebraic equations；线性度量空间：linear metric spaces；线性泛函：linear functional；线性赋范空间：linear normed spaces；线性空间：linear space；线性偏微分方程：linear partial differential equation；线性算子：linear operator；线性微分方程：linear differential equation；线性无关组：linearly independent quantities；线性相关：linear correlation；线性子空间：linear subspaces；解solution通解：general solution特解：particular solution；particular integral；初值：初值定理：initial-value theorem；初值方法：initial-value method；初值问题：initial-value problem；初值参数：initial parameter；纯量纯量函数：scalar function；纯量积：scalar product；纯量矩阵：scalar matrix算子：operator空间：space（子空间：subspace）范数：norm矩阵：matrix度量：metric。