数学专业名词英文解释

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1、高等数学(HigherMathematics)一些基本名词中英文对照表中文英       文中文英       文函数function逆时针方向counterclockwise定义域domainofdefinition变量variable值域rangeoffunction常量constantquantity极限limit坐标轴axisofcoordinates极限值limitvalue横坐标abscissa发散diverge纵坐标ordinate收敛converge锐角acuteangle连续性continuity钝角o

2、btuseangle连续函数continuousfunction平角straightangle左连续continuityfromtheleft直角rightangle开集openset圆circle闭集closedset半径radius闭区间closedinterval直径diameter区间interval三角形triangle一元函数functionofonevariable斜率slope多元函数functionofseveralvariables无穷小infinitesimal内点innerpoint无穷大infi

3、nite孤立点isolatedpoint正positive邻域neighborhood负negative导数derivative凸convex偏导数partialderivative凹concave微分differentialcalculus椭圆ellipse全微分totaldifferential双曲线hyperbola偏微分partialdifferential曲线curve积分integral曲面surface微积分infinitesimalcalculus交intersection重积分multipleinteg

4、ral补集complement二重积分doubleintegral投影project三重积分threefoldintegral等差级数arithmeticalprogression中值定理lawofthemean几何级数geometricprogression极值extremevalues公理axioms定积分definiteintegral定义definition不定积分indefiniteintegral定理theorem曲线积分curvilinearintegral集合set曲面积分surfaceintegral元

5、素element级数progression,series空集empty数列sequence子集subset微分方程differentialequation相等equal常微分方程ordinarydifferentialequation常数constant偏微分方程partialdifferentialequation对数logarithm差分方程differenceequation指数exponential特征方程characteristicequation曲率curvature间断点discontinuitypoint

6、曲率圆circleofcurvature渐近线asymptote曲率半径radiusofcurvature切线tangentline切平面tangentplane切线方程tangentialequation幂级数powerseries拐点pointofinflexion收敛半径convergenceradius绝对收敛absolutelyconvergence收敛区间convergenceinterval条件收敛conditionalconvergence收敛区域convergenceregion和函数sumfuncti

7、on通解generalsolution解solution特解specialsolution初始条件initialcondition阶order条件极值conditionalextremum常数项级数constantseries必要条件necessarycondition正项级数positiveseries充分条件sufficientcondition交错级数alternateseries收敛判别法convergencecriterion一般级数ordinaryseries比较判别法comparisoncriterion《

8、线性代数》英文专业词汇英文中文LinearAlgebra线性代数determinant行列式row行column列element元素diagonal对角线principaldiagona主对角线auxiliarydiagonal次对角线transposeddeterminant转置行列式triangulardeter