微积分英文专业词汇

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1、微积分词汇单值函数singlevaluedfunction多值函数multiplevaluedfunction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

2、differenceofset上界upperbound基本集basicset下界lowerbound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(

3、odevity)ofafunction区间的长度lengthofaninterval对称symmetry无限区间infiniteinterval偶函数evenfunction领域neighborhood奇函数oddfunction领域的中心centreofaneighborhood函数的周期性periodicityofafunction领域的半径radiusofaneighborhood周期period左领域leftneighborhood反函数inversefunction右领域rightneighborhood直接函数directfunction映射mappin

4、g复合函数compositefunctionX到Y的映射mappingofXontoY中间变量intermediatevariable满射surjection函数的运算operationoffunction单射injection基本初等函数basicelementaryfunction一一映射one-to-onemapping初等函数elementaryfunction双射bijection幂函数powerfunction算子operator指数函数exponentialfunction变化transformation对数函数logarithmicfunction函

5、数function三角函数trigonometricfunction逆映射inversemapping反三角函数inversetrigonometricfunction复合映射compositemapping常数函数constantfunction自变量independentvariable双曲函数hyperbolicfunction因变量dependentvariable双曲正弦hyperbolicsine定义域domain双曲余弦hyperboliccosine函数值valueoffunction双曲正切hyperbolictangent函数关系function

6、relation反双曲正弦inversehyperbolicsine值域range反双曲余弦inversehyperboliccosine自然定义域naturaldomain反双曲正切inversehyperbolictangent极限limit不连续点discontinuitypoint数列sequenceofnumber第一类间断点discontinuitypointofthefirst收敛convergencekind收敛于aconvergetoa第二类间断点discontinuitypointofthe发散divergentsecondkind极限的唯一性u

7、niquenessoflimits初等函数的连续性continuityofthe收敛数列的有界性boundednessofaelementaryfunctionsconvergentsequence定义区间definedinterval子列subsequence最大值globalmaximumvalue(absolute函数的极限limitsoffunctionsmaximum)函数当x趋于x0时的极限limitof最小值globalminimumvalue(absolutefunctionsasxapproachesx0minimum)左极限leftlimit