常用数学符号的英文表达.pdf

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1、逆映射inversemapping常用数学符号的英文表达复合映射compositemapping自变量independentvariableEnglishExpressionofthe因变量dependentvariable定义域domainMathematicalSymbolinCommon函数值valueoffunction函数关系functionrelationUse值域range自然定义域naturaldomain第一部分英汉微积分词汇单值函数singlevaluedfunctionPart1English-ChineseCalculusVocabulary多值函数mu

2、ltiplevaluedfunction第一章函数与极限单值分支one-valuedbranchChapter1FunctionandLimit函数图形graphofafunction集合set绝对值函数absolutevalue元素element符号函数sighfunction子集subset整数部分integralpart空集emptyset阶梯曲线stepcurve并集union当且仅当ifandonlyif(iff)交集intersection分段函数piecewisefunction差集differenceofset上界upperbound基本集basicset下界l

3、owerbound补集complementset有界boundedness直积directproduct无界unbounded笛卡儿积Cartesianproduct函数的单调性monotonicityofafunction开区间openinterval单调增加的increasing闭区间closedinterval单调减少的decreasing半开区间halfopeninterval单调函数monotonefunction有限区间finiteinterval函数的奇偶性parity(odevity)ofa区间的长度lengthofanintervalfunction无限区间i

4、nfiniteinterval对称symmetry领域neighborhood偶函数evenfunction领域的中心centreofaneighborhood奇函数oddfunction领域的半径radiusofaneighborhood函数的周期性periodicityofafunction左领域leftneighborhood周期period右领域rightneighborhood反函数inversefunction映射mapping直接函数directfunctionX到Y的映射mappingofXontoY复合函数compositefunction满射surjecti

5、on中间变量intermediatevariable单射injection函数的运算operationoffunction一一映射one-to-onemapping基本初等函数basicelementaryfunction双射bijection初等函数elementaryfunction算子operator幂函数powerfunction变化transformation指数函数exponentialfunction函数function对数函数logarithmicfunction三角函数trigonometricfunction区间上的连续函数continuousfunctio

6、n反三角函数inversetrigonometricfunction函数fx()在该区间上连续functionfx()常数函数constantfunction双曲函数hyperbolicfunctioniscontinuousonaninterval双曲正弦hyperbolicsine不连续点discontinuitypoint双曲余弦hyperboliccosine第一类间断点discontinuitypointofthefirst双曲正切hyperbolictangentkind反双曲正弦inversehyperbolicsine第二类间断点discontinuitypoi

7、ntofthe反双曲余弦inversehyperboliccosinesecondkind反双曲正切inversehyperbolictangent初等函数的连续性continuityofthe极限limitelementaryfunctions数列sequenceofnumber定义区间definedinterval收敛convergence最大值globalmaximumvalue(absolute收敛于aconvergetoamaximum)发散divergent最小值globalmi