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關(guān)于數(shù)學(xué)專業(yè)用詞的英文翻譯
數(shù)學(xué)的英文篇一:數(shù)學(xué)英文詞匯大全
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mapping
X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
絕對值函數(shù)absolutevalue
符號函數(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uniquenessoflimits
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
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
間接測量誤差indirectmeasurementerror
絕對誤差absoluteerror
相對誤差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’sRule
0/0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signofintegration
被積函數(shù)integrand
數(shù)學(xué)的英文篇二:數(shù)學(xué)英文詞匯
代數(shù)部分
1.有關(guān)基本運(yùn)算:
add,plus加
subtract減
difference差
multiply,times乘
product積
divide除
divisible可被整除的
dividedevenly被整除
dividend被除數(shù)
divisor因子,除數(shù)
quotient商
remainder余數(shù)
factorial階乘
power乘方
radicalsign,rootsign根號
roundto四舍五入
tothenearest四舍五入
2.有關(guān)集合
union并集
propersubset真子集
solutionset解集
3.有關(guān)代數(shù)式、方程和不等式
algebraicterm代數(shù)項(xiàng)
liketerms,similarterms同類項(xiàng)
numericalcoefficient數(shù)字系數(shù)
literalcoefficient字母系數(shù)
inequality不等式
triangleinequality三角不等式
range值域
originalequation原方程
equivalentequation同解方程
等價(jià)方程
linearequation線性方程(e.g.5x+6=22)
4.有關(guān)分?jǐn)?shù)和小數(shù)
properfraction真分?jǐn)?shù)
improperfraction假分?jǐn)?shù)
mixednumber帶分?jǐn)?shù)
vulgarfraction,commonfraction普通分?jǐn)?shù)simplefraction簡分?jǐn)?shù)
complexfraction繁分?jǐn)?shù)
numerator分子
denominator分母
(least)commondenominator(最小)公分母quarter四分之一
decimalfraction純小數(shù)
infinitedecimal無窮小數(shù)
recurringdecimal循環(huán)小數(shù)
tenthsunit十分位
5.基本數(shù)學(xué)概念
arithmeticmean算術(shù)平均值
weightedaverage加權(quán)平均值
geometricmean幾何平均數(shù)
exponent指數(shù),冪
base乘冪的底數(shù),底邊
cube立方數(shù),立方體
squareroot平方根
cuberoot立方根
commonlogarithm常用對數(shù)
digit數(shù)字
constant常數(shù)
variable變量
inversefunction反函數(shù)
complementaryfunction余函數(shù)
linear一次的,線性的
factorization因式分解
absolutevalue絕對值,e.g.|-32|=32roundoff四舍五入
6.有關(guān)數(shù)論
naturalnumber自然數(shù)
positivenumber正數(shù)
negativenumber負(fù)數(shù)
oddinteger,oddnumber奇數(shù)
eveninteger,evennumber偶數(shù)
integer,wholenumber整數(shù)
positivewholenumber正整數(shù)
negativewholenumber負(fù)整數(shù)
consecutivenumber連續(xù)整數(shù)
realnumber,rationalnumber實(shí)數(shù),有理數(shù)irrational(number)無理數(shù)
compositenumber合數(shù)e.g.4,6,8,9,10,12,14,15……primenumber質(zhì)數(shù)e.g.2,3,5,7,11,13,15……reciprocal倒數(shù)
commondivisor公約數(shù)
multiple倍數(shù)
(least)commonmultiple(最小)公倍數(shù)
(prime)factor(質(zhì))因子
commonfactor公因子
ordinaryscale,decimalscale十進(jìn)制nonnegative非負(fù)的'
tens十位
units個(gè)位
mode眾數(shù)
median中數(shù)
commonratio公比
7.數(shù)列
arithmeticprogression(sequence)等差數(shù)列g(shù)eometricprogression(sequence)等比數(shù)列
8.其它
approximate近似
(anti)clockwise(逆)順時(shí)針方向cardinal基數(shù)
ordinal序數(shù)
directproportion正比
distinct不同的
estimation估計(jì),近似
parentheses括號
proportion比例
數(shù)學(xué)的英文篇三:數(shù)學(xué)英文
代數(shù)ALGEBRA
1.數(shù)論
naturalnumber自然數(shù)positivenumber正數(shù)negativenumber負(fù)數(shù)oddinteger,oddnumber奇數(shù)eveninteger,evennumber偶數(shù)integer,wholenumber整數(shù)positive
wholenumber正整數(shù)negativewholenumber負(fù)整數(shù)consecutivenumber連續(xù)整數(shù)real
number,rationalnumber實(shí)數(shù),有理數(shù)irrational(number)無理數(shù)inverse倒數(shù)
composite
number合數(shù)e.g.4,6,8,9,10,12,14,15…primenumber質(zhì)數(shù)e.g.2,3,5,7,11,13,15…reciprocal倒數(shù)commondivisor公約數(shù)multiple倍數(shù)(minimum)commonmultiple(最小)公倍數(shù)
(prime)factor(質(zhì))因子commonfactor公因子ordinaryscale,decimal
scale十進(jìn)制nonnegative非負(fù)的tens十位units個(gè)位mode眾數(shù)mean平均數(shù)median中值common
ratio公比
2.基本數(shù)學(xué)概念
arithmeticmean算術(shù)平均值weightedaverage加權(quán)平均值geometricmean幾何平均數(shù)exponent
指數(shù),冪base乘冪的底數(shù),底邊cube立方數(shù),立方體squareroot平方根cuberoot立方根commonlogarithm
常用對數(shù)digit數(shù)字constant常數(shù)variable變量inversefunction反函數(shù)
complementary
function余函數(shù)linear一次的,線性的factorization因式分解absolutevalue
絕對值,e.g.|-32|=32roundoff四舍五入數(shù)學(xué)
3.基本運(yùn)算
add,plus加subtract減difference差multiply,times乘product積divide
除divisible可被整除的.dividedevenly被整除dividend被除數(shù),紅利divisor因子,除數(shù),公約數(shù)
quotient商remainder余數(shù)factorial階乘power乘方radicalsign,rootsign根號
roundto四舍五入tothenearest四舍五入
4.代數(shù)式,方程,不等式
algebraicterm代數(shù)項(xiàng)liketerms,similarterms同類項(xiàng)numericalcoefficient
數(shù)字系數(shù)literalcoefficient字母系數(shù)inequality不等式triangleinequality三角不等式range值域
originalequation原方程equivalentequation同解方程,等價(jià)方程linearequation線性方程(e.g.
5x+6=22)
5.分?jǐn)?shù),小數(shù)
properfraction真分?jǐn)?shù)improperfraction假分?jǐn)?shù)mixednumber帶分?jǐn)?shù)vulgar
fraction,commonfraction普通分?jǐn)?shù)simplefraction簡分?jǐn)?shù)complexfraction
繁分?jǐn)?shù)numerator分子denominator分母(least)commondenominator(最。┕帜竡uarter
四分之一decimalfraction純小數(shù)infinitedecimal無窮小數(shù)recurringdecimal循環(huán)小數(shù)tenthsunit十分位
6.集合
union并集propersubset真子集solutionset解集
7.數(shù)列
arithmeticprogression(sequence)等差數(shù)列g(shù)eometricprogression(sequence)等比數(shù)列
8.其它
approximate近似(anti)clockwise(逆)順時(shí)針方向cardinal基數(shù)ordinal序數(shù)directproportion正比distinct不同的estimation估計(jì),近似parentheses括號proportion比例
permutation排列combination組合table表格trigonometricfunction三角函數(shù)unit單位,位
幾何GEOMETRY
1.角
alternateangle內(nèi)錯(cuò)角correspondingangle同位角verticalangle對頂角centralangle圓心角interiorangle內(nèi)角exteriorangle外角supplementaryangles補(bǔ)角
complementary
angle余角adjacentangle鄰角acuteangle銳角obtuseangle鈍角rightangle直角roundangle周角straightangle平角includedangle夾角
2.三角形
equilateraltriangle等邊三角形scalenetriangle不等邊三角形isoscelestriangle等腰三角形
righttriangle直角三角形oblique斜三角形inscribedtriangle內(nèi)接三角形
3.收斂的平面圖形,除三角形外
semicircle半圓concentriccircles同心圓quadrilateral四邊形pentagon五邊形
hexagon
六邊形heptagon七邊形octagon八邊形nonagon九邊形decagon十邊形polygon多邊形
parallelogram平行四邊形equilateral等邊形plane平面square正方形,平方
rectangle長方形
regularpolygon正多邊形rhombus菱形trapezoid梯形
4.其它平面圖形
arc弧line,straightline直線linesegment線段parallellines平行線segmentofacircle弧形
5.立體圖形
cube立方體,立方數(shù)rectangularsolid長方體regularsolid/regularpolyhedron正多面體circularcylinder圓柱體cone圓錐sphere球體solid立體的
6.圖形的附屬概念
planegeometry平面幾何trigonometry三角學(xué)bisect平分circumscribe外切inscribe
內(nèi)切intersect相交perpendicular垂直Pythagoreantheorem勾股定理(畢達(dá)哥拉斯定理)congruent
全等的multilateral多邊的altitude高depth深度side邊長circumference,perimeter
周長radian弧度surfacearea表面積volume體積arm直角三角形的股crosssection橫截面
centerofacircle圓心chord弦diameter直徑radius半徑anglebisector角平分線
diagonal對角線化edge棱faceofasolid立體的面hypotenuse斜邊includedside夾邊leg
三角形的直角邊median(三角形的)中線base底邊,底數(shù)(e.g.2的5次方,2就是底數(shù))opposite直角三角形中的對邊
midpoint中點(diǎn)endpoint端點(diǎn)vertex(復(fù)數(shù)形式vertices)頂點(diǎn)tangent切線的transversal截線
intercept截距
7.坐標(biāo)
coordinatesystem坐標(biāo)系rectangularcoordinate直角坐標(biāo)系origin原點(diǎn)abscissa橫坐標(biāo)
ordinate縱坐標(biāo)numberline數(shù)軸quadrant象限slope斜率complexplane復(fù)平面
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