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..微積分第一章函數(shù)與極限Chapter1FunctionandLimit集合set元素element子集subset空集emptyset并集union交集intersection差集differenceofset基本集basicset補(bǔ)集complementset直積directproduct笛卡兒積Cartesianproduct開區(qū)間openinterval閉區(qū)間closedinterval半開區(qū)間halfopeninterval有限區(qū)間finiteinterval區(qū)間的長(zhǎng)度lengthofaninterval無限區(qū)間infiniteinterval領(lǐng)域neighborhood領(lǐng)域的中心centreofaneighborhood領(lǐng)域的半徑radiusofaneighborhood左領(lǐng)域leftneighborhood右領(lǐng)域rightneighborhood映射mappingX到Y(jié)的映射mappingofXontoY滿射surjection單射injection一一映射one-to-onemapping雙射bijection算子operator變化transformation函數(shù)function逆映射inversemapping復(fù)合映射compositemapping自變量independentvariable因變量dependentvariable定義域domain函數(shù)值valueoffunction函數(shù)關(guān)系functionrelation值域range自然定義域naturaldomain單值函數(shù)singlevaluedfunction多值函數(shù)multiplevaluedfunction單值分支one-valuedbranch函數(shù)圖形graphofafunction絕對(duì)值函數(shù)absolutevalue符號(hào)函數(shù)sighfunction整數(shù)部分integralpart階梯曲線stepcurve當(dāng)且僅當(dāng)ifandonlyif<iff>分段函數(shù)piecewisefunction上界upperbound下界lowerbound有界boundedness無界unbounded函數(shù)的單調(diào)性monotonicityofafunction單調(diào)增加的increasing單調(diào)減少的decreasing單調(diào)函數(shù)monotonefunction函數(shù)的奇偶性parity<odevity>ofafunction對(duì)稱symmetry偶函數(shù)evenfunction奇函數(shù)oddfunction函數(shù)的周期性periodicityofafunction周期period反函數(shù)inversefunction直接函數(shù)directfunction復(fù)合函數(shù)compositefunction中間變量intermediatevariable函數(shù)的運(yùn)算operationoffunction基本初等函數(shù)basicelementaryfunction初等函數(shù)elementaryfunction冪函數(shù)powerfunction指數(shù)函數(shù)exponentialfunction對(duì)數(shù)函數(shù)logarithmicfunction三角函數(shù)trigonometricfunction反三角函數(shù)inversetrigonometricfunction常數(shù)函數(shù)constantfunction雙曲函數(shù)hyperbolicfunction雙曲正弦hyperbolicsine雙曲余弦hyperboliccosine雙曲正切hyperbolictangent反雙曲正弦inversehyperbolicsine反雙曲余弦inversehyperboliccosine反雙曲正切inversehyperbolictangent極限limit數(shù)列sequenceofnumber收斂convergence收斂于aconvergetoa發(fā)散divergent極限的唯一性u(píng)niquenessoflimits收斂數(shù)列的有界性boundednessofaconvergentsequence子列subsequence函數(shù)的極限limitsoffunctions函數(shù)當(dāng)x趨于x0時(shí)的極限limitoffunctionsasxapproachesx0左極限leftlimit右極限r(nóng)ightlimit單側(cè)極限one-sidedlimits水平漸近線horizontalasymptote無窮小infinitesimal無窮大infinity鉛直漸近線verticalasymptote夾逼準(zhǔn)則squeezerule單調(diào)數(shù)列monotonicsequence高階無窮小infinitesimalofhigherorder低階無窮小infinitesimaloflowerorder同階無窮小infinitesimalofthesameorder--------------------------------------------------------------------------------2高等數(shù)學(xué)-翻譯等階無窮小equivalentinfinitesimal函數(shù)的連續(xù)性continuityofafunction增量increment函數(shù)在x0連續(xù)thefunctioniscontinuousatx0左連續(xù)leftcontinuous右連續(xù)rightcontinuous區(qū)間上的連續(xù)函數(shù)continuousfunction函數(shù)在該區(qū)間上連續(xù)functioniscontinuousonaninterval不連續(xù)點(diǎn)discontinuitypoint第一類間斷點(diǎn)discontinuitypointofthefirstkind第二類間斷點(diǎn)discontinuitypointofthesecondkind初等函數(shù)的連續(xù)性continuityoftheelementaryfunctions定義區(qū)間definedinterval最大值globalmaximumvalue<absolutemaximum>最小值globalminimumvalue<absoluteminimum>零點(diǎn)定理thezeropointtheorem介值定理intermediatevaluetheorem第二章導(dǎo)數(shù)與微分Chapter2DerivativeandDifferential速度velocity勻速運(yùn)動(dòng)uniformmotion平均速度averagevelocity瞬時(shí)速度instantaneousvelocity圓的切線tangentlineofacircle切線tangentline切線的斜率slopeofthetangentline位置函數(shù)positionfunction導(dǎo)數(shù)derivative可導(dǎo)derivable函數(shù)的變化率問題problemofthechangerateofafunction導(dǎo)函數(shù)derivedfunction左導(dǎo)數(shù)left-handderivative右導(dǎo)數(shù)right-handderivative單側(cè)導(dǎo)數(shù)one-sidedderivatives在閉區(qū)間[a,b]上可導(dǎo)isderivableontheclosedinterval[a,b]切線方程tangentequation角速度angularvelocity成本函數(shù)costfunction邊際成本marginalcost鏈?zhǔn)椒▌tchainrule隱函數(shù)implicitfunction顯函數(shù)explicitfunction二階函數(shù)secondderivative三階導(dǎo)數(shù)thirdderivative高階導(dǎo)數(shù)nthderivative萊布尼茨公式Leibnizformula對(duì)數(shù)求導(dǎo)法log-derivative參數(shù)方程parametricequation相關(guān)變化率correlativechangerata微分differential可微的differentiable函數(shù)的微分differentialoffunction自變量的微分differentialofindependentvariable微商differentialquotient間接測(cè)量誤差indirectmeasurementerror絕對(duì)誤差absoluteerror相對(duì)誤差relativeerror第三章微分中值定理與導(dǎo)數(shù)的應(yīng)用Chapter3MeanValueTheoremofDifferentialsandtheApplicationofDerivatives羅馬定理Rolle’stheorem費(fèi)馬引理Fermat’slemma拉格朗日中值定理Lagrange’smeanvaluetheorem駐點(diǎn)stationarypoint穩(wěn)定點(diǎn)stablepoint臨界點(diǎn)criticalpoint輔助函數(shù)auxiliaryfunction拉格朗日中值公式Lagrange’smeanvalueformula柯西中值定理Cauchy’smeanvaluetheorem洛必達(dá)法則L’Hospital’sRule0/0型不定式indeterminateformoftype0/0不定式indeterminateform泰勒中值定理Taylor’smeanvaluetheorem泰勒公式Taylorformula余項(xiàng)remainderterm拉格朗日余項(xiàng)Lagrangeremainderterm麥克勞林公式Maclaurin’sformula佩亞諾公式Peanoremainderterm凹凸性concavity凹向上的concaveupward,cancaveup凹向下的,向上凸的concavedownward’concavedown拐點(diǎn)inflectionpoint函數(shù)的極值extremumoffunction極大值local<relative>maximum最大值global<absolute>mximum極小值local<relative>minimum最小值global<absolute>minimum目標(biāo)函數(shù)objectivefunction曲率curvature弧微分arcdifferential平均曲率averagecurvature曲率園circleofcurvature曲率中心centerofcurvature曲率半徑radiusofcurvature漸屈線evolute漸伸線involute根的隔離isolationofroot隔離區(qū)間isolationinterval切線法tangentlinemethod第四章不定積分Chapter4IndefiniteIntegrals原函數(shù)primitivefunction<antiderivative>積分號(hào)signofintegration被積函數(shù)integrand積分變量integralvariable積分曲線integralcurve積分表tableofintegrals換元積分法integrationbysubstitution分部積分法integrationbyparts分部積分公式formulaofintegrationbyparts有理函數(shù)rationalfunction真分式properfraction假分式improperfraction第五章定積分Chapter5DefiniteIntegrals曲邊梯形trapezoidwith曲邊curveedge窄矩形narrowrectangle曲邊梯形的面積areaoftrapezoidwithcurvededge積分下限lowerlimitofintegral積分上限upperlimitofintegral積分區(qū)間integralinterval分割partition積分和integralsum可積integrable矩形法rectanglemethod積分中值定理meanvaluetheoremofintegrals函數(shù)在區(qū)間上的平均值averagevalueofafunctiononanintegvals牛頓-萊布尼茨公式Newton-Leibnizformula微積分基本公式fundamentalformulaofcalculus換元公式formulaforintegrationbysubstitution遞推公式recurrenceformula反常積分improperintegral反常積分發(fā)散theimproperintegralisdivergent反常積分收斂theimproperintegralisconvergent無窮限的反常積分improperintegralonaninfiniteinterval無界函數(shù)的反常積分improperintegralofunboundedfunctions絕對(duì)收斂absolutelyconvergent第六章定積分的應(yīng)用Chapter6ApplicationsoftheDefiniteIntegrals元素法theelementmethod面積元素elementofarea平面圖形的面積areaofaluanefigure直角坐標(biāo)又稱"笛卡兒坐標(biāo)<Cartesiancoordinates>"極坐標(biāo)polarcoordinates拋物線parabola橢圓ellipse旋轉(zhuǎn)體的面積volumeofasolidofrotation旋轉(zhuǎn)橢球體ellipsoidofrevolution,ellipsoidofrotation曲線的弧長(zhǎng)arclengthofacurve可求長(zhǎng)的rectifiable光滑smooth功work水壓力waterpressure引力gravitation變力variableforce第七章空間解析幾何與向量代數(shù)Chapter7SpaceAnalyticGeometryandVectorAlgebra向量vector自由向量freevector單位向量unitvector零向量zerovector相等equal平行parallel向量的線性運(yùn)算linearpoerationofvector三角法則trianglerule平行四邊形法則parallelogramrule交換律commutativelaw結(jié)合律associativelaw負(fù)向量negativevector差difference分配律distributivelaw空間直角坐標(biāo)系spacerectangularcoordinates坐標(biāo)面coordinateplane卦限octant向量的模modulusofvector向量a與b的夾角anglebetweenvectoraandb方向余弦directioncosine方向角directionangle向量在軸上的投影projectionofavectorontoanaxis數(shù)量積,外積,叉積scalarproduct,dotproduct,innerproduct曲面方程equationforasurface球面sphere旋轉(zhuǎn)曲面surfaceofrevolution母線generatingline軸axis圓錐面cone頂點(diǎn)vertex旋轉(zhuǎn)單葉雙曲面revolutionhyperboloidsofonesheet旋轉(zhuǎn)雙葉雙曲面revolutionhyperboloidsoftwosheets柱面cylindricalsurface,cylinder圓柱面cylindricalsurface準(zhǔn)線directrix拋物柱面paraboliccylinder二次曲面quadricsurface橢圓錐面dllipticcone橢球面ellipsoid單葉雙曲面hyperboloidofonesheet雙葉雙曲面hyperboloidoftwosheets旋轉(zhuǎn)橢球面ellipsoidofrevolution橢圓拋物面ellipticparaboloid旋轉(zhuǎn)拋物面paraboloidofrevolution雙曲拋物面hyperbolicparaboloid馬鞍面saddlesurface橢圓柱面ellipticcylinder雙曲柱面hyperboliccylinder拋物柱面paraboliccylinder空間曲線spacecurve空間曲線的一般方程generalformequationsofaspacecurve空間曲線的參數(shù)方程parametricequationsofaspacecurve螺轉(zhuǎn)線spiral螺矩pitch投影柱面projectingcylinder投影projection平面的點(diǎn)法式方程pointnormformeqyationofaplane法向量normalvector平面的一般方程generalformequationofaplane兩平面的夾角anglebetweentwoplanes點(diǎn)到平面的距離distancefromapointtoaplane空間直線的一般方程generalequationofalineinspace方向向量directionvector直線的點(diǎn)向式方程pointdirectionformequationsofaline方向數(shù)directionnumber直線的參數(shù)方程parametricequationsofaline兩直線的夾角anglebetweentwolines垂直perpendicular直線與平面的夾角anglebetweenalineandaplanes平面束pencilofplanes平面束的方程equationofapencilofplanes行列式determinant系數(shù)行列式coefficientdeterminant第八章多元函數(shù)微分法及其應(yīng)用Chapter8DifferentiationofFunctionsofSeveralVariablesandItsApplication一元函數(shù)functionofonevariable多元函數(shù)functionofseveralvariables內(nèi)點(diǎn)interiorpoint外點(diǎn)exteriorpoint邊界點(diǎn)frontierpoint,boundarypoint聚點(diǎn)pointofaccumulation開集openset閉集closedset連通集connectedset開區(qū)域openregion閉區(qū)域closedregion有界集boundedset無界集unboundedsetn維空間n-dimentionalspace二重極限doublelimit多元函數(shù)的連續(xù)性continuityoffunctionofseveal連續(xù)函數(shù)continuousfunction不連續(xù)點(diǎn)discontinuitypoint一致連續(xù)uniformlycontinuous偏導(dǎo)數(shù)partialderivative對(duì)自變量x的偏導(dǎo)數(shù)partialderivativewithrespecttoindependentvariablex高階偏導(dǎo)數(shù)partialderivativeofhigherorder二階偏導(dǎo)數(shù)secondorderpartialderivative混合偏導(dǎo)數(shù)hybridpartialderivative全微分totaldifferential偏增量oartialincrement偏微分partialdifferential全增量totalincrement可微分differentiable必要條件necessarycondition充分條件sufficientcondition疊加原理superpostitionprinciple全導(dǎo)數(shù)totalderivative中間變量intermediatevariable隱函數(shù)存在定理theoremoftheexistenceofimplicitfunction曲線的切向量tangentvectorofacurve法平面normalplane向量方程vectorequation向量值函數(shù)vector-valuedfunction切平面tangentplane法線normalline方向?qū)?shù)directionalderivative梯度gradient數(shù)量場(chǎng)scalarfield梯度場(chǎng)gradientfield向量場(chǎng)vectorfield勢(shì)場(chǎng)potentialfield引力場(chǎng)gravitationalfield引力勢(shì)gravitationalpotential曲面在一點(diǎn)的切平面tangentplanetoasurfaceatapoint曲線在一點(diǎn)的法線normallinetoasurfaceatapoint無條件極值unconditionalextremevalues條件極值conditionalextremevalues拉格朗日乘數(shù)法Lagrangemultipliermethod拉格朗日乘子Lagrangemultiplier經(jīng)驗(yàn)公式empiricalformula最小二乘法methodofleastsquares均方誤差meansquareerror第九章重積分Chapter9MultipleIntegrals二重積分doubleintegral可加性additivity累次積分iteratedintegral體積元素volumeelement三重積分tripleintegral直角坐標(biāo)系中的體積元素volumeelementinrectangularcoordinatesystem柱面坐標(biāo)cylindricalcoordinates柱面坐標(biāo)系中的體積元素volumeelementincylindricalcoordinatesystem球面坐標(biāo)sphericalcoordinates球面坐標(biāo)系中的體積元素volumeelementinsphericalcoordinatesystem反常二重積分improperdoubleintegral曲面的面積areaofasurface質(zhì)心centreofmass靜矩staticmoment密度density形心centroid轉(zhuǎn)動(dòng)慣量momentofinertia參變量parametricvariable第十章曲線積分與曲面積分Chapter10Line<Curve>IntegralsandSurfaceIntegrals對(duì)弧長(zhǎng)的曲線積分lineintegralswithrespecttoarchength第一類曲線積分lineintegralsofthefirsttype對(duì)坐標(biāo)的曲線積分lineintegralswithrespecttox,y,andz第二類曲線積分lineintegralsofthesecondtype有向曲線弧directedarc單連通區(qū)域simpleconnectedregion復(fù)連通區(qū)域complexconnectedregion格林公式Greenformula第一類曲面積分surfaceintegralsofthefirsttype對(duì)面的曲面積分surfaceintegralswithrespecttoarea有向曲面directedsurface對(duì)坐標(biāo)的曲面積分surfaceintegralswithrespecttocoordinateelements第二類曲面積分surfaceintegralsofthesecondtype有向曲面元elementofdirectedsurface高斯公式gaussformula拉普拉斯算子Laplaceoperator格林第一公式Green’sfirstformula通量flux散度divergence斯托克斯公式Stokesformula環(huán)流量circulation旋度rotation,curl第十一章無窮級(jí)數(shù)Chapter11InfiniteSeries一般項(xiàng)generalterm部分和partialsum余項(xiàng)remainderterm等比級(jí)數(shù)geometricseries幾何級(jí)數(shù)geometricseries公比commonratio調(diào)和級(jí)數(shù)harmonicseries柯西收斂準(zhǔn)則Cauchyconvergencecriteria,Cauchycriteriaforconvergence正項(xiàng)級(jí)數(shù)seriesofpositiveterms達(dá)朗貝爾判別法D’Alemberttest柯西判別法Cauchytest交錯(cuò)級(jí)數(shù)alternatingseries絕對(duì)收斂absolutelyconvergent條件收斂conditionallyconvergent柯西乘積Cauchyproduct函數(shù)項(xiàng)級(jí)數(shù)seriesoffunctions發(fā)散點(diǎn)pointofdivergence收斂點(diǎn)pointofconvergence收斂域convergencedomain和函數(shù)sumfunction冪級(jí)數(shù)powerseries冪級(jí)數(shù)的系數(shù)coeffcientsofpowerseries阿貝爾定理AbelTheorem收斂半徑radiusofconvergence收斂區(qū)間intervalofconvergence泰勒級(jí)數(shù)Taylorseries麥克勞林級(jí)數(shù)Maclaurinseries二項(xiàng)展開式binomialexpansion近似計(jì)算approximatecalculation舍入誤差round-offerror,roundingerror歐拉公式Euler’sformula魏爾斯特拉絲判別法Weierstrasstest三角級(jí)數(shù)trigonometricseries振幅amplitude角頻率angularfrequency初相initialphase矩形波squarewave諧波分析harmonicanalysis直流分量directcomponent基波fundamentalwave二次諧波secondharmonic三角函數(shù)系trigonometricfunctionsystem傅立葉系數(shù)Fouriercoefficient傅立葉級(jí)數(shù)Forrierseries周期延拓periodicprolongation正弦級(jí)數(shù)sineseries余弦級(jí)數(shù)cosineseries奇延拓oddprolongation偶延拓evenprolongation傅立葉級(jí)數(shù)的復(fù)數(shù)形式complexformofFourierseries第十二章微分方程Chapter12DifferentialEquation解微分方程solveadirrerentialequation常微分方程ordinarydifferentialequation偏微分方程partialdifferentialequation,PDE微分方程的階orderofadifferentialequation微分方程的解solutionofadifferentialequation微分方程的通解generalsolutionofadifferentialequation初始條件initialcondition微分方程的特解particularsolutionofadifferentialequation初值問題initialvalueproblem微分方程的積分曲線integralcurveofadifferentialequation可分離變量的微分方程variableseparabledifferentialequation隱式解implicitsolution隱式通解inplicitgeneralsolution衰變系數(shù)decaycoefficient衰變decay齊次方程homogeneousequation一階線性方程lineardifferentialequationoffirstorder非齊次non-homogeneous齊次線性方程homogeneouslinearequation非齊次線性方程non-homogeneouslinearequation常數(shù)變易法methodofvariationofconstant暫態(tài)電流transientstatacurrent穩(wěn)態(tài)電流steadystatecurrent伯努利方程Bernoulliequation全微分方程totaldifferentialequation積分因子integratingfactor高階微分方程differentialequationofhigherorder懸鏈線catenary高階線性微分方程lineradifferentialequationofhigherorder自由振動(dòng)的微分方程differentialequationoffreevibration強(qiáng)迫振動(dòng)的微分方程differentialequationofforcedoscillation串聯(lián)電路的振蕩方程oscillationequationofseriescircuit二階線性微分方程secondorderlineradifferentialequation線性相關(guān)linearlydependence線性無關(guān)linearlyindependce二階常系數(shù)齊次線性微分方程secondorderhomogeneourlineardifferentialequationwithconstantcoefficient二階變系數(shù)齊次線性微分方程secondorderhomogeneouslineardifferentialequationwithvariablecoefficient特征方程characteristicequation無阻尼自由振動(dòng)的微分方程differentialequationoffreevibrationwithzerodamping固有頻率naturalfrequency簡(jiǎn)諧振動(dòng)simpleharmonicoscillation,simpleharmonicvibration微分算子differentialoperator待定系數(shù)法methodofundeterminedcoefficient共振現(xiàn)象resonancephenomenon歐拉方程Eulerequation冪級(jí)數(shù)解法powerseriessolution數(shù)值解法numerialsolution勒讓德方程Legendreequation微分方程組systemofdifferentialequations常系數(shù)線性微分方程組systemoflineradifferentialequationswithconstantcoefficient線性代數(shù)Aadjont<adjugate>ofmatrixAA的伴隨矩陣augmentedmatrixA的增廣矩陣Bblockdiagonalmatrix塊對(duì)角矩陣blockmatrix塊矩陣basicsolutionset基礎(chǔ)解系CCauchy-Schwarzinequality柯西-許瓦茲不等式characteristicequation特征方程characteristicpolynomial特征多項(xiàng)式coffcientmatrix系數(shù)矩陣cofactor代數(shù)余子式cofactorexpansion代數(shù)余子式展開columnvector列向量commutingmatrices交換矩陣consistentlinearsystem相容線性方程組Cramer’srule克萊姆法則Cross-productterm交叉項(xiàng)DDeterminant行列式Diagonalentries對(duì)角元素Diagonalmatrix對(duì)角矩陣DimensionofavectorspaceV向量空間V的維數(shù)Eechelonmatrix梯形矩陣eigenspace特征空間eigenvalue特征值eigenvector特征向量eigenvectorbasis特征向量的基elementarymatrix初等矩陣elementaryrowoperations行初等變換Ffullrank滿秩f(wàn)undermentalsetofsolution基礎(chǔ)解系G[center]grneralsolution通解Gram-Schmidtprocess施密特正交化過程Hhomogeneouslinearequations齊次線性方程組Iidentitymatrix單位矩陣inconsistentlinearsystem不相容線性方程組indefinitematrix不定矩陣indefinitquatraticform不定二次型infinite-dimensionalspace無限維空間innerproduct內(nèi)積inverseofmatrixA逆矩陣Llinearcombination線性組合linearlydependent線性相關(guān)linearlyindependent線性無關(guān)lineartransformation線性變換lowertriangularmatrix下三角形矩陣MmaindiagonalofmatrixA矩陣的主對(duì)角matrix矩陣N[center]negativedefinitequaraticform負(fù)定二次型negativesemidefinitequadraticform半負(fù)定二次型nonhomogeneousequations非齊次線性方程組nonsigularmatrix非奇異矩陣nontrivialsolution非平凡解normofvectorV向量V的范數(shù)normalizingvectorV規(guī)范化向量Oorthogonalbasis正交基orthogonalcomplement正交補(bǔ)orthogonaldecomposition正交分解orthogonallydiagonalizablematrix矩陣的正交對(duì)角化orthogonalmatrix正交矩陣orthogonalset正交向量組orthonormalbasis規(guī)范正交基orthonomalset規(guī)范正交向量組[b]Ppartitionedmatrix分塊矩陣positivedefinitematrix正定矩陣positivedefinitequatraticform正定二次型positivesemidefinitematrix半正定矩陣positivesemidefinitequadraticform半正定二次型Qquatraticform二次型[center]R[/center]rankofmatrixA矩陣A的秩r<A>reducedechelonmatrix最簡(jiǎn)梯形陣rowvector行向量Ssetspannedby{}由向量{}所生成similarmatrices相似矩陣similaritytransformation相似變換singularmatrix奇異矩陣solutionset解集合standardbasis標(biāo)準(zhǔn)基standardmatrix標(biāo)準(zhǔn)矩陣Isubmatrix子矩陣subspace子空間symmetricmatrix對(duì)稱矩陣TtraceofmatrixA矩陣A的跡tr<A>transposeofA矩陣A的轉(zhuǎn)秩triangleinequlity三角不等式trivialsolution平凡解Uunitvector單位向量uppertriangularmatrix上三角形矩陣Vvandermondematrix范得蒙矩陣vector向量vectorspace向量空間Zzerosubspace零子空間zerovector零空間〔本文已被瀏覽133次概率統(tǒng)計(jì)概率論與數(shù)理統(tǒng)計(jì)詞匯英漢對(duì)照表Aabsolutevalue絕對(duì)值accept接受acceptableregion接受域additivity可加性adjusted調(diào)整的alternativehypothesis對(duì)立假設(shè)analysis分析analysisofcovariance協(xié)方差分析analysisofvariance方差分析arithmeticmean算術(shù)平均值association相關(guān)性assumption假設(shè)assumptionchecking假設(shè)檢驗(yàn)availability有效度average均值Bbalanced平衡的band帶寬barchart條形圖beta-distribution貝塔分布betweengroups組間的bias偏倚binomialdistribution二項(xiàng)分布binomialtest二項(xiàng)檢驗(yàn)Ccalculate計(jì)算case個(gè)案category類別centerofgravity重心centraltendency中心趨勢(shì)chi-squaredistribution卡方分布chi-squaretest卡方檢驗(yàn)classify分類clusteranalysis聚類分析coefficient系數(shù)coefficientofcorrelation相關(guān)系數(shù)collinearity共線性column列compare比較comparison對(duì)照components構(gòu)成,分量compound復(fù)合的confidenceinterval置信區(qū)間consistency一致性constant常數(shù)continuousvariable連續(xù)變量controlcharts控制圖correlation相關(guān)covariance協(xié)方差covariancematrix協(xié)方差矩陣criticalpoint臨界點(diǎn)criticalvalue臨界值crosstab列聯(lián)表cubic三次的,立方的cubicterm三次項(xiàng)cumulativedistributionfunction累加分布函數(shù)curveestimation曲線估計(jì)Ddata數(shù)據(jù)default默認(rèn)的definition定義deletedresidual剔除殘差densityfunction密度函數(shù)dependentvariable因變量description描述designofexperiment試驗(yàn)設(shè)計(jì)deviations差異df.<degreeoffreedom>自由度diagnostic診斷dimension維discretevariable離散變量discriminantfunction判別函數(shù)discriminatoryanalysis判別分析distance距離distribution分布D-optimaldesignD-優(yōu)化設(shè)計(jì)Eeaqual相等effectsofinteraction交互效應(yīng)efficiency有效性eigenvalue特征值equalsize等含量equation方程error誤差estimate估計(jì)estimationofparameters參數(shù)估計(jì)estimations估計(jì)量evaluate衡量exactvalue精確值expectation期望expectedvalue期望值exponential指數(shù)的exponentialdistributon指數(shù)分布extremevalue極值Ffactor因素,因子factoranalysis因子分析factorscore因子得分factorialdesigns析因設(shè)計(jì)factorialexperiment析因試驗(yàn)fit擬合fittedline擬合線fittedvalue擬合值fixedmodel固定模型fixedvariable固定變量fractionalfactorialdesign部分析因設(shè)計(jì)frequency頻數(shù)F-testF檢驗(yàn)fullfactorialdesign完全析因設(shè)計(jì)function函數(shù)Ggammadistribution伽瑪分布geometricmean幾何均值group組Hharmomicmean調(diào)和均值heterogeneity不齊性histogram直方圖homogeneity齊性homogeneityofvariance方差齊性hypothesis假設(shè)hypothesistest假設(shè)檢驗(yàn)Iindependence獨(dú)立independentvariable自變量independent-samples獨(dú)立樣本index指數(shù)indexofcorrelation相關(guān)指數(shù)interaction交互作用interclasscorrelation組內(nèi)相關(guān)intervalestimate區(qū)間估計(jì)intraclasscorrelation組間相關(guān)inverse倒數(shù)的iterate迭代Kkernal核Kolmogorov-Smirnovtest柯爾莫哥洛夫-斯米諾夫檢驗(yàn)kurtosis峰度Llargesampleproblem大樣本問題layer層least-significantdifference最小顯著差數(shù)least-squareestimation最小二乘估計(jì)least-squaremethod最小二乘法level水平levelofsignificance顯著性水平leveragevalue中心化杠桿值life壽命lifetest壽命試驗(yàn)likelihoodfunction似然函數(shù)likelihoodratiotest似然比檢驗(yàn)linear線性的linearestimator線性估計(jì)linearmodel線性模型linearregression線性回歸linearrelation線性關(guān)系linearterm線性項(xiàng)logarithmic對(duì)數(shù)的logarithms對(duì)數(shù)logistic邏輯的lostfunction損失函數(shù)Mmaineffect主效應(yīng)matrix矩陣maximum最大值maximumlikelihoodestimation極大似然估計(jì)meansquareddeviation<MSD>均方差meansumofsquare均方和measure衡量media中位數(shù)M-estimatorM估計(jì)minimum最小值missingvalues缺失值mixedmodel混合模型mode眾數(shù)model模型MonteCarlemethod蒙特卡羅法movingaverage移動(dòng)平均值multicollinearity多元共線性multiplecomparison多重比較multiplecorrelation多重相關(guān)multiplecorrelationcoefficient復(fù)相關(guān)系數(shù)multiplecorrelationcoefficient多元相關(guān)系數(shù)multipleregressionanalysis多元回歸分析multipleregressionequation多元回歸方程multipleresponse多響應(yīng)multivariateanalysis多元分析Nnegativerelationship負(fù)相關(guān)nonadditively不可加性nonlinear非線性nonlinearregression非線性回歸noparametrictests非參數(shù)檢驗(yàn)normaldistribution正態(tài)分布nullhypothesis零假設(shè)numberofcases個(gè)案數(shù)Oone-sample單樣本one-tailedtest單側(cè)檢驗(yàn)one-wayANOVA單向方差分析one-wayclassification單向分類optimal優(yōu)化的optimumallocation最優(yōu)配制or

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