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1微積分常用公式及常用述語中英文對照234567891011微積分常用述語中英文對照AChineseabsolutemaximum絕對最大值absoluteminimum絕對最小值absolutelyconvergent絕對收斂absolutevalue絕對值acceleration加速度alternatingseries交錯級數angle角antiderivatives反導數approach趨近arclength弧長argument輻角12averagevalue平均數BChineseboundedabove有上界的boundedbelow有下界的boundedsequence有界數列CChinesecalculus微積分cardioid心臟線centerofmass質心ChainRule鏈式法則closedinterval閉區間coefficient係數Complexnumbers複數Conclusion(delete)結論(delete)conditionalinequality條件不等式coordinate座標coordinateaxis坐標軸curvature曲率coplanar共平面conicsection二次曲線CompletenessAxiom完備性公理contradictorylinearequations矛盾方程組cycloid擺線conditionallyconvergent條件收斂criticalnumber臨界值converge收斂cylinder圓柱體,柱體cross-section橫切面curvesketching曲線描繪curve曲線concavedownward凹向下concaveupward凹向上13compositefunction合成函數DChinesedomain定義域denominator分母derivative導數dependentlinearequations相依方程式discriminant判別式differenceset差集dividend被除數divisor除數divergent發散differentiation微分discontinuity不連續decay衰變decimal小數decreasing遞減dimensional維數dotproduct點積directionangle方向角directioncosine方向餘弦determinant行列式directionnumber方向數density密度doubleintegrals雙重積分EChineseexponent指數exponentiallaw指數率exponentialfunction指數函數extremevaluesoffunctions函數的極值expression函數表示法evenfunction偶函數emptyset空集合equation方程式14ellipse橢圓ellipsoid橢球FChineseFibonaccisequence費伯納希數列four-leavedrose四葉玫瑰function函數Ggraphicalsolution圖解法Gaussianfunction高斯函數geometricseries幾何級數globalmaximum全局最大值globalminimum全局最小值gradient斜度,變化率HChinesehalf-life半衰期harmonicfunction調和函數harmonicseries調和級數helix螺旋線horizontalasymptote水平漸進線hypotenuse斜邊hypothesis假設hyperbola雙曲線hyperbolicfunction雙曲函數IChineseimplicitdifferentiation隱函數微分implicitfunction隱函數improperintegral瑕積分increasing遞增indefiniteintegral不定積分15indeterminateform不定型infiniteseries無窮級數inflectionpoint反曲點initialpoint起點innerproduct內積Instantaneousvelocity瞬時速度integrable可積分integration積分integrand被積函數integrationbyparts分部積分intercept截距intervalofconvergence收斂區間inversefunction反函數Inversetrigonometricfunction反三角函數infinity無限大irrationalnumber無理數inference推理interval區間integralexponent整數指數JChineseKChineseLChineseL’Hospital’sRule羅必達法則Laplace’sequation拉普拉斯方程式LawofCosines餘弦定理leastupperbound最小上界left-handlimit左極限linearinequalityintwounknownvariable二元一次不等式16limit極限Limitlaw極限法則linearapproximation線性逼近linearequation線性方程式linearization線性化localmaximum局部最大值localminimum局部最小值logarithmicFunctions對數函數lowerlimit下限MChineseMaclaurinseries馬克勞倫級數maximum極大值matrix矩陣MeanValueTheorem均值定理midpointrule中點法則minimum極小值moment彎矩momentofinertia轉動慣量,慣性矩monotonic單調multiple倍數NChineseNewton'sMethod牛頓法normalline法線normalvector法向量numerator分子OChineseoddfunction奇函數One-to-onefunction一對一函數openinterval開區間optimizationproblem最佳化問題orthogonal正交17origin原點PChineseparabola拋物線parameter參數parametriccurve參數曲線parametricequation參數方程式partialderivative偏導數partialfraction部份分式period週期periodicfunction週期函數perpendicular垂直polaraxis極軸polarcoordinate極座標polarcoordinatesystem極座標系統polarequation極方程式polarmomentofinertia極性轉動慣量property極點polynomial多項式polynomialfunction多項函數powerseries冪級數projection投影p-seriesp級數QChinesequadricsurface二次曲面quotient商RChineseradiusofconvergence收斂半徑radian弧度rationalfunction有理函數rationalfunction有理函數realnumber實數18relativeerror相對誤差relativemaximum相對最大值range值域remainder餘數Riemannsun黎曼和right-handlimit右極限rootfunction根函數SChinesesaddlepoint鞍點scalar純量scalarproduct純量積secondmoment同momentofinertiasequence數列series級數Simpson’sRule辛普森法slantasymptote斜漸進線slope斜率solidofrevolution旋轉體solutionset解集合substitutionrule代換法surfacearea表面積symmetricequation對稱方程式symmetry對稱TChinesetangentline切線tangentplane切平面tangentvector切向量Taylorseries泰勒級數terminalpoint終點Thecomparisontest比較試驗Theintegraltest積分試驗TheintermediatevalueTheorem中間值定理Thelimitcomparisontest極限比較試驗19TheRatioTest比值試驗TheRootTest根試驗trapezoidalrule梯形法trigonometricfunction三角函數trigonometricsubstitution三角代換tripleintegrals三重積分UChineseunitvector單位向量upperlimit上限VChinesevector向量vectorequation向量方程式vectorfunction向量函數vectorproduct向量積velocity速度verticalasymptote垂直漸近線vertex頂點volume體積WChinesewaveequation波動方程式XChineseYChineseZChinese20