完整word版线性代数英文专业词汇x

线性代数术语中英文对照_第一章

线性代数术语中英⽂对照_第⼀章Chapter 1linear equation [P2] 线性⽅程coefficient [P2] 系数constant term [讲义‐P1] 常数（项）systems of linear equations (linear system) [P3] 线性⽅程组solution [P3] 解solution set [P3] 解集tuple [P3] 数组equivalent [P3] 等价equivalent system [P3] 等价系统，等价⽅程组 consistent [P4] 相容inconsistent [P4] 不相容consistent linear system 相容（有解）的线性⽅程组inconsistent linear system 不相容（⽆解）的线性⽅程组coefficient matrix [P5] 系数矩阵augmented matrix [P5] 增⼴矩阵elementary operations [P7] 初等变换elementary row operation [P7] 初等⾏变换row equivalent [P7] ⾏等价（矩阵） equivalent matrix [讲义‐P3] 等价矩阵Leading entry [P14] 先导元素entry of matrix 矩阵的元素echelon form (row echelon form) [P14] 阶梯形reduced echelon form (reduced row echelon form) [P14] 简化阶梯形Gaussian elimination [P14]脚注⾼斯消元法the elimination of variables 消元法row reduced [P15] ⾏化简pivot position [P16] 主元位置pivot column [P16] 主元列pivot [P17] 主元forward phase [P20] ⾃上（向下）阶段 backward phase [P20] ⾃下（向上）阶段basic variable [P20] 基本变元free variable [P20] ⾃由变元general solution [P21] ⼀般解，通解back‐substitution [P22] 回代法，侧转代⼊vector [P28] 向量，⽮量scalar [P28] 数量，纯量，⽆向量 parallelogram rule [P30] 平⾏四边形法则linear combination [P32] 线性组合generated (spanned) [P35] ⽣成(张成)product [P45] 乘积homogeneous systems [P50] 齐次系统，齐次线性⽅程组 trivial solution [P50] 平凡解，零解nontrivial solution [P51] ⾮平凡解，⾮零解 parametric vector form [P52] 参数向量形式 nonhomogeneous systems [P50] ⾮齐次线性⽅程组linear independent [p65] 线性相关linearly independent [P65] 线性⽆关linear transformation [P73] 线性变换domain [P73] 值域shear transformation [P76] 剪切变换contraction [P77] 压缩变换dilation [P77] 拉伸变换。

数学英文词汇大全-微积分-线性代数-概率统计

概率统计概率论与数理统计词汇英汉对照表Aabsolute value 绝对值accept 接受acceptable region 接受域additivity 可加性adjusted 调整的alternative hypothesis 对立假设analysis 分析analysis of covariance 协方差分析analysis of variance 方差分析arithmetic mean 算术平均值association 相关性assumption 假设assumption checking 假设检验availability 有效度average 均值Bbalanced 平衡的band 带宽bar chart 条形图beta-distribution 贝塔分布between groups 组间的bias 偏倚binomial distribution 二项分布binomial test 二项检验Ccalculate 计算case 个案category 类别center of gravity 重心central tendency 中心趋势chi-square distribution 卡方分布chi-square test 卡方检验classify 分类cluster analysis 聚类分析coefficient 系数coefficient of correlation 相关系数collinearity 共线性column 列compare 比较comparison 对照components 构成，分量compound 复合的confidence interval 置信区间consistency 一致性constant 常数continuous variable 连续变量control charts 控制图correlation 相关covariance 协方差covariance matrix 协方差矩阵critical point 临界点critical value 临界值crosstab 列联表cubic 三次的，立方的cubic term 三次项cumulative distribution function 累加分布函数curve estimation 曲线估计Ddata 数据default 默认的definition 定义deleted residual 剔除残差density function 密度函数dependent variable 因变量description 描述design of experiment 试验设计deviations 差异df.(degree of freedom) 自由度diagnostic 诊断dimension 维discrete variable 离散变量discriminant function 判别函数discriminatory analysis 判别分析distance 距离distribution 分布D-optimal design D-优化设计Eeaqual 相等effects of interaction 交互效应efficiency 有效性eigenvalue 特征值equal size 等含量equation 方程error 误差estimate 估计estimation of parameters 参数估计estimations 估计量evaluate 衡量exact value 精确值expectation 期望expected value 期望值exponential 指数的exponential distributon 指数分布extreme value 极值Ffactor 因素，因子factor analysis 因子分析factor score 因子得分factorial designs 析因设计factorial experiment 析因试验fit 拟合fitted line 拟合线fitted value 拟合值fixed model 固定模型fixed variable 固定变量fractional factorial design 部分析因设计frequency 频数F-test F检验full factorial design 完全析因设计function 函数Ggamma distribution 伽玛分布geometric mean 几何均值group 组Hharmomic mean 调和均值heterogeneity 不齐性histogram 直方图homogeneity 齐性homogeneity of variance 方差齐性hypothesis 假设hypothesis test 假设检验Iindependence 独立independent variable 自变量independent-samples 独立样本index 指数index of correlation 相关指数interaction 交互作用interclass correlation 组内相关interval estimate 区间估计intraclass correlation 组间相关inverse 倒数的iterate 迭代Kkernal 核Kolmogorov-Smirnov test柯尔莫哥洛夫-斯米诺夫检验kurtosis 峰度Llarge sample problem 大样本问题layer 层least-significant difference 最小显著差数least-square estimation 最小二乘估计least-square method 最小二乘法level 水平level of significance 显著性水平leverage value 中心化杠杆值life 寿命life test 寿命试验likelihood function 似然函数likelihood ratio test 似然比检验linear 线性的linear estimator 线性估计linear model 线性模型linear regression 线性回归linear relation 线性关系linear term 线性项logarithmic 对数的logarithms 对数logistic 逻辑的lost function 损失函数Mmain effect 主效应matrix 矩阵maximum 最大值maximum likelihood estimation 极大似然估计mean squared deviation(MSD) 均方差mean sum of square 均方和measure 衡量media 中位数M-estimator M估计minimum 最小值missing values 缺失值mixed model 混合模型mode 众数model 模型Monte Carle method 蒙特卡罗法moving average 移动平均值multicollinearity 多元共线性multiple comparison 多重比较multiple correlation 多重相关multiple correlation coefficient 复相关系数multiple correlation coefficient 多元相关系数multiple regression analysis 多元回归分析multiple regression equation 多元回归方程multiple response 多响应multivariate analysis 多元分析Nnegative relationship 负相关nonadditively 不可加性nonlinear 非线性nonlinear regression 非线性回归noparametric tests 非参数检验normal distribution 正态分布null hypothesis 零假设number of cases 个案数Oone-sample 单样本one-tailed test 单侧检验one-way ANOVA 单向方差分析one-way classification 单向分类optimal 优化的optimum allocation 最优配制order 排序order statistics 次序统计量origin 原点orthogonal 正交的outliers 异常值Ppaired observations 成对观测数据paired-sample 成对样本parameter 参数parameter estimation 参数估计partial correlation 偏相关partial correlation coefficient 偏相关系数partial regression coefficient 偏回归系数percent 百分数percentiles 百分位数pie chart 饼图point estimate 点估计poisson distribution 泊松分布polynomial curve 多项式曲线polynomial regression 多项式回归polynomials 多项式positive relationship 正相关power 幂P-P plot P-P概率图predict 预测predicted value 预测值prediction intervals 预测区间principal component analysis 主成分分析proability 概率probability density function 概率密度函数probit analysis 概率分析proportion 比例Qqadratic 二次的Q-Q plot Q-Q概率图quadratic term 二次项quality control 质量控制quantitative 数量的，度量的quartiles 四分位数Rrandom 随机的random number 随机数random number 随机数random sampling 随机取样random seed 随机数种子random variable 随机变量randomization 随机化range 极差rank 秩rank correlation 秩相关rank statistic 秩统计量regression analysis 回归分析regression coefficient 回归系数regression line 回归线reject 拒绝rejection region 拒绝域relationship 关系reliability 可靠性repeated 重复的report 报告，报表residual 残差residual sum of squares 剩余平方和response 响应risk function 风险函数robustness 稳健性root mean square 标准差row 行run 游程run test 游程检验Ssample 样本sample size 样本容量sample space 样本空间sampling 取样sampling inspection 抽样检验scatter chart 散点图S-curve S形曲线separately 单独地sets 集合sign test 符号检验significance 显著性significance level 显著性水平significance testing 显著性检验significant 显著的，有效的significant digits 有效数字skewed distribution 偏态分布skewness 偏度small sample problem 小样本问题smooth 平滑sort 排序soruces of variation 方差来源space 空间spread 扩展square 平方standard deviation 标准离差standard error of mean 均值的标准误差standardization 标准化standardize 标准化statistic 统计量statistical quality control 统计质量控制std. residual 标准残差stepwise regression analysis 逐步回归stimulus 刺激strong assumption 强假设stud. deleted residual 学生化剔除残差stud. residual 学生化残差subsamples 次级样本sufficient statistic 充分统计量sum 和sum of squares 平方和summary 概括，综述Ttable 表t-distribution t分布test 检验test criterion 检验判据test for linearity 线性检验test of goodness of fit 拟合优度检验test of homogeneity 齐性检验test of independence 独立性检验test rules 检验法则test statistics 检验统计量testing function 检验函数time series 时间序列tolerance limits 容许限total 总共，和transformation 转换treatment 处理trimmed mean 截尾均值true value 真值t-test t检验two-tailed test 双侧检验Uunbalanced 不平衡的unbiased estimation 无偏估计unbiasedness 无偏性uniform distribution 均匀分布Vvalue of estimator 估计值variable 变量variance 方差variance components 方差分量variance ratio 方差比various 不同的vector 向量Wweight 加权，权重weighted average 加权平均值within groups 组内的ZZ score Z分数微积分第一章函数与极限Chapter1 Function and Limit集合 set元素 element子集 subset空集 empty set并集 union交集 intersection差集 difference of set基本集 basic set补集 complement set直积 direct product笛卡儿积 Cartesian product开区间 open interval闭区间 closed interval半开区间 half open interval有限区间 finite interval区间的长度 length of an interval无限区间 infinite interval领域 neighborhood领域的中心 centre of a neighborhood 领域的半径 radius of a neighborhood 左领域 left neighborhood右领域 right neighborhood映射 mappingX到Y的映射 mapping of X ontoY满射 surjection单射 injection一一映射 one-to-one mapping双射 bijection算子 operator变化 transformation函数 function逆映射 inverse mapping复合映射 composite mapping自变量 independent variable因变量 dependent variable定义域 domain函数值 value of function函数关系 function relation值域 range自然定义域 natural domain单值函数 single valued function多值函数 multiple valued function 单值分支 one-valued branch函数图形 graph of a function绝对值函数 absolute value符号函数 sigh function整数部分 integral part阶梯曲线 step curve当且仅当 if and only if(iff)分段函数 piecewise function上界 upper bound下界 lower bound有界 boundedness无界 unbounded函数的单调性 monotonicity of a function单调增加的 increasing单调减少的 decreasing单调函数 monotone function函数的奇偶性 parity(odevity) of a function对称 symmetry偶函数 even function奇函数 odd function函数的周期性 periodicity of a function周期 period反函数 inverse function直接函数 direct function复合函数 composite function中间变量 intermediate variable函数的运算 operation of function基本初等函数 basic elementary function初等函数 elementary function幂函数 power function指数函数 exponential function对数函数 logarithmic function三角函数 trigonometric function反三角函数 inverse trigonometric function常数函数 constant function双曲函数 hyperbolic function双曲正弦 hyperbolic sine双曲余弦 hyperbolic cosine双曲正切 hyperbolic tangent反双曲正弦 inverse hyperbolic sine反双曲余弦 inverse hyperbolic cosine反双曲正切 inverse hyperbolic tangent极限 limit数列 sequence of number收敛 convergence收敛于 a converge to a发散 divergent极限的唯一性 uniqueness of limits收敛数列的有界性 boundedness of a convergent sequence子列 subsequence函数的极限 limits of functions函数当x趋于x0时的极限 limit of functions as x approaches x0 左极限 left limit右极限 right limit单侧极限 one-sided limits水平渐近线 horizontal asymptote无穷小 infinitesimal无穷大 infinity铅直渐近线 vertical asymptote夹逼准则 squeeze rule单调数列 monotonic sequence高阶无穷小 infinitesimal of higher order低阶无穷小 infinitesimal of lower order同阶无穷小 infinitesimal of the same order整理：新少年特工 2007-10-8 18:37 回复此发言--------------------------------------------------------------------------------2 高等数学-翻译等阶无穷小 equivalent infinitesimal函数的连续性 continuity of a function增量 increment函数在x0连续 the function is continuous at x0左连续 left continuous右连续 right continuous区间上的连续函数 continuous function函数在该区间上连续 function is continuous on an interval不连续点 discontinuity point第一类间断点 discontinuity point of the first kind第二类间断点 discontinuity point of the second kind初等函数的连续性 continuity of the elementary functions定义区间 defined interval最大值 global maximum value (absolute maximum)最小值 global minimum value (absolute minimum)零点定理 the zero point theorem介值定理 intermediate value theorem第二章导数与微分Chapter2 Derivative and Differential速度 velocity匀速运动 uniform motion平均速度 average velocity瞬时速度 instantaneous velocity圆的切线 tangent line of a circle切线 tangent line切线的斜率 slope of the tangent line位置函数 position function导数 derivative可导 derivable函数的变化率问题 problem of the change rate of a function导函数 derived function左导数 left-hand derivative右导数 right-hand derivative单侧导数 one-sided derivatives在闭区间【a,b】上可导 is derivable on the closed interval [a,b]切线方程 tangent equation角速度 angular velocity成本函数 cost function边际成本 marginal cost链式法则 chain rule隐函数 implicit function显函数 explicit function二阶函数 second derivative三阶导数 third derivative高阶导数 nth derivative莱布尼茨公式 Leibniz formula对数求导法 log- derivative参数方程 parametric equation相关变化率 correlative change rata微分 differential可微的 differentiable函数的微分 differential of function自变量的微分 differential of independent variable微商 differential quotient间接测量误差 indirect measurement error绝对误差 absolute error相对误差 relative error第三章微分中值定理与导数的应用Chapter3 MeanValue Theorem of Differentials and the Application of Derivatives 罗马定理 Rolle’s theorem费马引理 Fermat’s lemma拉格朗日中值定理 Lagrange’s mean value theorem驻点 stationary point稳定点 stable point临界点 critical point辅助函数 auxiliary function拉格朗日中值公式 Lagrange’s mean value formula柯西中值定理 Cauchy’s mean value theorem洛必达法则 L’Hospital’s Rule0/0型不定式 indeterminate form of type 0/0不定式 indeterminate form泰勒中值定理 Taylor’s mean value theorem泰勒公式 Taylor formula余项 remainder term拉格朗日余项 Lagrange remainder term麦克劳林公式 Maclaurin’s formula佩亚诺公式 Peano remainder term凹凸性 concavity凹向上的 concave upward, cancave up凹向下的，向上凸的 concave downward’ concave down 拐点 inflection point函数的极值 extremum of function极大值 local(relative) maximum最大值 global(absolute) mximum极小值 local(relative) minimum最小值 global(absolute) minimum目标函数 objective function曲率 curvature弧微分 arc differential平均曲率 average curvature曲率园 circle of curvature曲率中心 center of curvature曲率半径 radius of curvature渐屈线 evolute渐伸线 involute根的隔离 isolation of root隔离区间 isolation interval切线法 tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数 primitive function(antiderivative)积分号 sign of integration被积函数 integrand积分变量 integral variable积分曲线 integral curve积分表 table of integrals换元积分法 integration by substitution分部积分法 integration by parts分部积分公式 formula of integration by parts有理函数 rational function真分式 proper fraction假分式 improper fraction第五章定积分Chapter5 Definite Integrals曲边梯形 trapezoid with曲边 curve edge窄矩形 narrow rectangle曲边梯形的面积 area of trapezoid with curved edge积分下限 lower limit of integral积分上限 upper limit of integral积分区间 integral interval分割 partition积分和 integral sum可积 integrable矩形法 rectangle method积分中值定理 mean value theorem of integrals函数在区间上的平均值 average value of a function on an integvals 牛顿－莱布尼茨公式 Newton-Leibniz formula微积分基本公式 fundamental formula of calculus换元公式 formula for integration by substitution递推公式 recurrence formula反常积分 improper integral反常积分发散 the improper integral is divergent反常积分收敛 the improper integral is convergent无穷限的反常积分 improper integral on an infinite interval无界函数的反常积分 improper integral of unbounded functions绝对收敛 absolutely convergent第六章定积分的应用Chapter6 Applications of the Definite Integrals元素法 the element method面积元素 element of area平面图形的面积 area of a luane figure直角坐标又称“笛卡儿坐标 (Cartesian coordinates)”极坐标 polar coordinates抛物线 parabola椭圆 ellipse旋转体的面积 volume of a solid of rotation旋转椭球体 ellipsoid of revolution, ellipsoid of rotation曲线的弧长 arc length of acurve可求长的 rectifiable光滑 smooth功 work水压力 water pressure引力 gravitation变力 variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry and Vector Algebra向量 vector自由向量 free vector单位向量 unit vector零向量 zero vector相等 equal平行 parallel向量的线性运算 linear poeration of vector三角法则 triangle rule平行四边形法则 parallelogram rule交换律 commutative law结合律 associative law负向量 negative vector差 difference分配律 distributive law空间直角坐标系 space rectangular coordinates坐标面 coordinate plane卦限 octant向量的模 modulus of vector向量a与b的夹角 angle between vector a and b方向余弦 direction cosine方向角 direction angle向量在轴上的投影 projection of a vector onto an axis数量积，外积，叉积 scalar product,dot product,inner product 曲面方程 equation for a surface球面 sphere旋转曲面 surface of revolution母线 generating line轴 axis圆锥面 cone顶点 vertex旋转单叶双曲面 revolution hyperboloids of one sheet旋转双叶双曲面 revolution hyperboloids of two sheets柱面 cylindrical surface ,cylinder圆柱面 cylindrical surface准线 directrix抛物柱面 parabolic cylinder二次曲面 quadric surface椭圆锥面 dlliptic cone椭球面 ellipsoid单叶双曲面 hyperboloid of one sheet双叶双曲面 hyperboloid of two sheets旋转椭球面 ellipsoid of revolution椭圆抛物面 elliptic paraboloid旋转抛物面 paraboloid of revolution双曲抛物面 hyperbolic paraboloid马鞍面 saddle surface椭圆柱面 elliptic cylinder双曲柱面 hyperbolic cylinder抛物柱面 parabolic cylinder空间曲线 space curve空间曲线的一般方程 general form equations of a space curve空间曲线的参数方程 parametric equations of a space curve螺转线 spiral螺矩 pitch投影柱面 projecting cylinder投影 projection平面的点法式方程 pointnorm form eqyation of a plane法向量 normal vector平面的一般方程 general form equation of a plane两平面的夹角 angle between two planes点到平面的距离 distance from a point to a plane空间直线的一般方程 general equation of a line in space方向向量 direction vector直线的点向式方程 pointdirection form equations of a line方向数 direction number直线的参数方程 parametric equations of a line两直线的夹角 angle between two lines垂直 perpendicular直线与平面的夹角 angle between a line and a planes平面束 pencil of planes平面束的方程 equation of a pencil of planes行列式 determinant系数行列式 coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions of Several Variables and Its Application 一元函数 function of one variable多元函数 function of several variables内点 interior point外点 exterior point边界点 frontier point,boundary point聚点 point of accumulation开集 openset闭集 closed set连通集 connected set开区域 open region闭区域 closed region有界集 bounded set无界集 unbounded setn维空间 n-dimentional space二重极限 double limit多元函数的连续性 continuity of function of seveal连续函数 continuous function不连续点 discontinuity point一致连续 uniformly continuous偏导数 partial derivative对自变量x的偏导数 partial derivative with respect to independent variable x 高阶偏导数 partial derivative of higher order二阶偏导数 second order partial derivative混合偏导数 hybrid partial derivative全微分 total differential偏增量 oartial increment偏微分 partial differential全增量 total increment可微分 differentiable必要条件 necessary condition充分条件 sufficient condition叠加原理 superpostition principle全导数 total derivative中间变量 intermediate variable隐函数存在定理 theorem of the existence of implicit function曲线的切向量 tangent vector of a curve法平面 normal plane向量方程 vector equation向量值函数 vector-valued function切平面 tangent plane法线 normal line方向导数 directional derivative梯度 gradient数量场 scalar field梯度场 gradient field向量场 vector field势场 potential field引力场 gravitational field引力势 gravitational potential曲面在一点的切平面 tangent plane to a surface at a point曲线在一点的法线 normal line to a surface at a point无条件极值 unconditional extreme values条件极值 conditional extreme values拉格朗日乘数法 Lagrange multiplier method拉格朗日乘子 Lagrange multiplier经验公式 empirical formula最小二乘法 method of least squares均方误差 mean square error第九章重积分Chapter9 Multiple Integrals二重积分 double integral可加性 additivity累次积分 iterated integral体积元素 volume element三重积分 triple integral直角坐标系中的体积元素 volume element in rectangular coordinate system 柱面坐标 cylindrical coordinates柱面坐标系中的体积元素 volume element in cylindrical coordinate system 球面坐标 spherical coordinates球面坐标系中的体积元素 volume element in spherical coordinate system 反常二重积分 improper double integral曲面的面积 area of a surface质心 centre of mass静矩 static moment密度 density形心 centroid转动惯量 moment of inertia参变量 parametric variable第十章曲线积分与曲面积分Chapter10 Line(Curve)Integrals and Surface Integrals对弧长的曲线积分 line integrals with respect to arc hength第一类曲线积分 line integrals of the first type对坐标的曲线积分 line integrals with respect to x,y,and z第二类曲线积分 line integrals of the second type有向曲线弧 directed arc单连通区域 simple connected region复连通区域 complex connected region格林公式 Green formula第一类曲面积分 surface integrals of the first type对面的曲面积分 surface integrals with respect to area有向曲面 directed surface对坐标的曲面积分 surface integrals with respect to coordinate elements 第二类曲面积分 surface integrals of the second type有向曲面元 element of directed surface高斯公式 gauss formula拉普拉斯算子 Laplace operator格林第一公式 Green’s first formula通量 flux散度 divergence斯托克斯公式 Stokes formula环流量 circulation旋度 rotation,curl第十一章无穷级数Chapter11 Infinite Series一般项 general term部分和 partial sum余项 remainder term等比级数 geometric series几何级数 geometric series公比 common ratio调和级数 harmonic series柯西收敛准则 Cauchy convergence criteria, Cauchy criteria for convergence 正项级数 series of positive terms达朗贝尔判别法 D’Alembert test柯西判别法 Cauchy test交错级数 alternating series绝对收敛 absolutely convergent条件收敛 conditionally convergent柯西乘积 Cauchy product函数项级数 series of functions发散点 point of divergence收敛点 point of convergence收敛域 convergence domain和函数 sum function幂级数 power series幂级数的系数 coeffcients of power series阿贝尔定理 Abel Theorem收敛半径 radius of convergence收敛区间 interval of convergence泰勒级数 Taylor series麦克劳林级数 Maclaurin series二项展开式 binomial expansion近似计算 approximate calculation舍入误差 round-off error,rounding error欧拉公式 Euler’s formula魏尔斯特拉丝判别法 Weierstrass test三角级数 trigonometric series振幅 amplitude角频率 angular frequency初相 initial phase矩形波 square wave谐波分析 harmonic analysis直流分量 direct component基波 fundamental wave二次谐波 second harmonic三角函数系 trigonometric function system傅立叶系数 Fourier coefficient傅立叶级数 Forrier series周期延拓 periodic prolongation正弦级数 sine series余弦级数 cosine series奇延拓 odd prolongation偶延拓 even prolongation傅立叶级数的复数形式 complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程 solve a dirrerential equation常微分方程 ordinary differential equation偏微分方程 partial differential equation,PDE微分方程的阶 order of a differential equation微分方程的解 solution of a differential equation微分方程的通解 general solution of a differential equation初始条件 initial condition微分方程的特解 particular solution of a differential equation 初值问题 initial value problem微分方程的积分曲线 integral curve of a differential equation 可分离变量的微分方程 variable separable differential equation 隐式解 implicit solution隐式通解 inplicit general solution衰变系数 decay coefficient衰变 decay齐次方程 homogeneous equation一阶线性方程 linear differential equation of first order非齐次 non-homogeneous齐次线性方程 homogeneous linear equation非齐次线性方程 non-homogeneous linear equation常数变易法 method of variation of constant暂态电流 transient stata current稳态电流 steady state current伯努利方程 Bernoulli equation全微分方程 total differential equation积分因子 integrating factor高阶微分方程 differential equation of higher order悬链线 catenary高阶线性微分方程 linera differential equation of higher order自由振动的微分方程 differential equation of free vibration强迫振动的微分方程 differential equation of forced oscillation串联电路的振荡方程 oscillation equation of series circuit二阶线性微分方程 second order linera differential equation线性相关 linearly dependence线性无关 linearly independce二阶常系数齐次线性微分方程 second order homogeneour linear differential equation with constant coefficient二阶变系数齐次线性微分方程 second order homogeneous linear differential equation with variable coefficient特征方程 characteristic equation无阻尼自由振动的微分方程 differential equation of free vibration with zero damping 固有频率 natural frequency简谐振动 simple harmonic oscillation,simple harmonic vibration微分算子 differential operator待定系数法 method of undetermined coefficient共振现象 resonance phenomenon欧拉方程 Euler equation幂级数解法 power series solution数值解法 numerial solution勒让德方程 Legendre equation微分方程组 system of differential equations常系数线性微分方程组system of linera differential equations with constant coefficient线性代数Aadjont(adjugate) of matrix A A 的伴随矩阵augmented matrix A 的增广矩阵Bblock diagonal matrix 块对角矩阵block matrix 块矩阵basic solution set 基础解系CCauchy-Schwarz inequality 柯西-许瓦兹不等式characteristic equation 特征方程characteristic polynomial 特征多项式coffcient matrix 系数矩阵cofactor 代数余子式cofactor expansion 代数余子式展开column vector 列向量commuting matrices 交换矩阵consistent linear system 相容线性方程组Cramer’s rule 克莱姆法则Cross- product term 交叉项DDeterminant 行列式Diagonal entries 对角元素Diagonal matrix 对角矩阵Dimension of a vector space V 向量空间V的维数Eechelon matrix 梯形矩阵eigenspace 特征空间eigenvalue 特征值eigenvector 特征向量eigenvector basis 特征向量的基elementary matrix 初等矩阵elementary row operations 行初等变换Ffull rank 满秩fundermental set of solution 基础解系G[center]grneral solution 通解Gram-Schmidt process 施密特正交化过程Hhomogeneous linear equations 齐次线性方程组Iidentity matrix 单位矩阵inconsistent linear system 不相容线性方程组indefinite matrix 不定矩阵indefinit quatratic form 不定二次型infinite-dimensional space 无限维空间inner product 内积inverse of matrix A 逆矩阵Llinear combination 线性组合linearly dependent 线性相关linearly independent 线性无关linear transformation 线性变换lower triangular matrix 下三角形矩阵Mmain diagonal of matrix A 矩阵的主对角matrix 矩阵N[center]negative definite quaratic form 负定二次型negative semidefinite quadratic form 半负定二次型nonhomogeneous equations 非齐次线性方程组nonsigular matrix 非奇异矩阵nontrivial solution 非平凡解norm of vector V 向量V的范数normalizing vector V 规范化向量Oorthogonal basis 正交基orthogonal complement 正交补orthogonal decomposition 正交分解orthogonally diagonalizable matrix 矩阵的正交对角化orthogonal matrix 正交矩阵orthogonal set 正交向量组orthonormal basis 规范正交基orthonomal set 规范正交向量组[b]Ppartitioned matrix 分块矩阵positive definite matrix 正定矩阵positive definite quatratic form 正定二次型positive semidefinite matrix 半正定矩阵positive semidefinite quadratic form 半正定二次型Qquatratic form 二次型[center]R[/center]rank of matrix A 矩阵A的秩 r(A) reduced echelon matrix 最简梯形阵row vector 行向量Sset spanned by { } 由向量{ }所生成similar matrices 相似矩阵similarity transformation 相似变换singular matrix 奇异矩阵solution set 解集合standard basis 标准基standard matrix 标准矩阵Isubmatrix 子矩阵subspace 子空间symmetric matrix 对称矩阵Ttrace of matrix A 矩阵A 的迹 tr(A)transpose of A 矩阵A的转秩triangle inequlity 三角不等式trivial solution 平凡解Uunit vector 单位向量upper triangular matrix 上三角形矩阵Vvandermonde matrix 范得蒙矩阵vector 向量vector space 向量空间Zzero subspace 零子空间zero vector 零空间（本文已被浏览 133 次）。

数学英文词汇大全-微积分-线性代数-概率统计

概率统计概率论与数理统计词汇英汉对照表Aabsolute value 绝对值accept 接受acceptable region 接受域additivity 可加性adjusted 调整的alternative hypothesis 对立假设analysis 分析analysis of covariance 协方差分析analysis of variance 方差分析arithmetic mean 算术平均值association 相关性assumption 假设assumption checking 假设检验availability 有效度average 均值Bbalanced 平衡的band 带宽bar chart 条形图beta-distribution 贝塔分布between groups 组间的bias 偏倚binomial distribution 二项分布binomial test 二项检验Ccalculate 计算case 个案category 类别center of gravity 重心central tendency 中心趋势chi-square distribution 卡方分布chi-square test 卡方检验classify 分类cluster analysis 聚类分析coefficient 系数coefficient of correlation 相关系数collinearity 共线性column 列compare 比较comparison 对照components 构成，分量compound 复合的confidence interval 置信区间consistency 一致性constant 常数continuous variable 连续变量control charts 控制图correlation 相关covariance 协方差covariance matrix 协方差矩阵critical point 临界点critical value 临界值crosstab 列联表cubic 三次的，立方的cubic term 三次项cumulative distribution function 累加分布函数curve estimation 曲线估计Ddata 数据default 默认的definition 定义deleted residual 剔除残差density function 密度函数dependent variable 因变量description 描述design of experiment 试验设计deviations 差异df.(degree of freedom) 自由度diagnostic 诊断dimension 维discrete variable 离散变量discriminant function 判别函数discriminatory analysis 判别分析distance 距离distribution 分布D-optimal design D-优化设计Eeaqual 相等effects of interaction 交互效应efficiency 有效性eigenvalue 特征值equal size 等含量equation 方程error 误差estimate 估计estimation of parameters 参数估计estimations 估计量evaluate 衡量exact value 精确值expectation 期望expected value 期望值exponential 指数的exponential distributon 指数分布extreme value 极值Ffactor 因素，因子factor analysis 因子分析factor score 因子得分factorial designs 析因设计factorial experiment 析因试验fit 拟合fitted line 拟合线fitted value 拟合值fixed model 固定模型fixed variable 固定变量fractional factorial design 部分析因设计frequency 频数F-test F检验full factorial design 完全析因设计function 函数Ggamma distribution 伽玛分布geometric mean 几何均值group 组Hharmomic mean 调和均值heterogeneity 不齐性histogram 直方图homogeneity 齐性homogeneity of variance 方差齐性hypothesis 假设hypothesis test 假设检验Iindependence 独立independent variable 自变量independent-samples 独立样本index 指数index of correlation 相关指数interaction 交互作用interclass correlation 组内相关interval estimate 区间估计intraclass correlation 组间相关inverse 倒数的iterate 迭代Kkernal 核Kolmogorov-Smirnov test柯尔莫哥洛夫-斯米诺夫检验kurtosis 峰度Llarge sample problem 大样本问题layer 层least-significant difference 最小显著差数least-square estimation 最小二乘估计least-square method 最小二乘法level 水平level of significance 显著性水平leverage value 中心化杠杆值life 寿命life test 寿命试验likelihood function 似然函数likelihood ratio test 似然比检验linear 线性的linear estimator 线性估计linear model 线性模型linear regression 线性回归linear relation 线性关系linear term 线性项logarithmic 对数的logarithms 对数logistic 逻辑的lost function 损失函数Mmain effect 主效应matrix 矩阵maximum 最大值maximum likelihood estimation 极大似然估计mean squared deviation(MSD) 均方差mean sum of square 均方和measure 衡量media 中位数M-estimator M估计minimum 最小值missing values 缺失值mixed model 混合模型mode 众数model 模型Monte Carle method 蒙特卡罗法moving average 移动平均值multicollinearity 多元共线性multiple comparison 多重比较multiple correlation 多重相关multiple correlation coefficient 复相关系数multiple correlation coefficient 多元相关系数multiple regression analysis 多元回归分析multiple regression equation 多元回归方程multiple response 多响应multivariate analysis 多元分析Nnegative relationship 负相关nonadditively 不可加性nonlinear 非线性nonlinear regression 非线性回归noparametric tests 非参数检验normal distribution 正态分布null hypothesis 零假设number of cases 个案数Oone-sample 单样本one-tailed test 单侧检验one-way ANOVA 单向方差分析one-way classification 单向分类optimal 优化的optimum allocation 最优配制order 排序order statistics 次序统计量origin 原点orthogonal 正交的outliers 异常值Ppaired observations 成对观测数据paired-sample 成对样本parameter 参数parameter estimation 参数估计partial correlation 偏相关partial correlation coefficient 偏相关系数partial regression coefficient 偏回归系数percent 百分数percentiles 百分位数pie chart 饼图point estimate 点估计poisson distribution 泊松分布polynomial curve 多项式曲线polynomial regression 多项式回归polynomials 多项式positive relationship 正相关power 幂P-P plot P-P概率图predict 预测predicted value 预测值prediction intervals 预测区间principal component analysis 主成分分析proability 概率probability density function 概率密度函数probit analysis 概率分析proportion 比例Qqadratic 二次的Q-Q plot Q-Q概率图quadratic term 二次项quality control 质量控制quantitative 数量的，度量的quartiles 四分位数Rrandom 随机的random number 随机数random number 随机数random sampling 随机取样random seed 随机数种子random variable 随机变量randomization 随机化range 极差rank 秩rank correlation 秩相关rank statistic 秩统计量regression analysis 回归分析regression coefficient 回归系数regression line 回归线reject 拒绝rejection region 拒绝域relationship 关系reliability 可靠性repeated 重复的report 报告，报表residual 残差residual sum of squares 剩余平方和response 响应risk function 风险函数robustness 稳健性root mean square 标准差row 行run 游程run test 游程检验Ssample 样本sample size 样本容量sample space 样本空间sampling 取样sampling inspection 抽样检验scatter chart 散点图S-curve S形曲线separately 单独地sets 集合sign test 符号检验significance 显著性significance level 显著性水平significance testing 显著性检验significant 显著的，有效的significant digits 有效数字skewed distribution 偏态分布skewness 偏度small sample problem 小样本问题smooth 平滑sort 排序soruces of variation 方差来源space 空间spread 扩展square 平方standard deviation 标准离差standard error of mean 均值的标准误差standardization 标准化standardize 标准化statistic 统计量statistical quality control 统计质量控制std. residual 标准残差stepwise regression analysis 逐步回归stimulus 刺激strong assumption 强假设stud. deleted residual 学生化剔除残差stud. residual 学生化残差subsamples 次级样本sufficient statistic 充分统计量sum 和sum of squares 平方和summary 概括，综述Ttable 表t-distribution t分布test 检验test criterion 检验判据test for linearity 线性检验test of goodness of fit 拟合优度检验test of homogeneity 齐性检验test of independence 独立性检验test rules 检验法则test statistics 检验统计量testing function 检验函数time series 时间序列tolerance limits 容许限total 总共，和transformation 转换treatment 处理trimmed mean 截尾均值true value 真值t-test t检验two-tailed test 双侧检验Uunbalanced 不平衡的unbiased estimation 无偏估计unbiasedness 无偏性uniform distribution 均匀分布Vvalue of estimator 估计值variable 变量variance 方差variance components 方差分量variance ratio 方差比various 不同的vector 向量Wweight 加权，权重weighted average 加权平均值within groups 组内的ZZ score Z分数微积分第一章函数与极限Chapter1 Function and Limit集合 set元素 element子集 subset空集 empty set并集 union交集 intersection差集 difference of set基本集 basic set补集 complement set直积 direct product笛卡儿积 Cartesian product开区间 open interval闭区间 closed interval半开区间 half open interval有限区间 finite interval区间的长度 length of an interval无限区间 infinite interval领域 neighborhood领域的中心 centre of a neighborhood 领域的半径 radius of a neighborhood 左领域 left neighborhood右领域 right neighborhood映射 mappingX到Y的映射 mapping of X ontoY满射 surjection单射 injection一一映射 one-to-one mapping双射 bijection算子 operator变化 transformation函数 function逆映射 inverse mapping复合映射 composite mapping自变量 independent variable因变量 dependent variable定义域 domain函数值 value of function函数关系 function relation值域 range自然定义域 natural domain单值函数 single valued function多值函数 multiple valued function 单值分支 one-valued branch函数图形 graph of a function绝对值函数 absolute value符号函数 sigh function整数部分 integral part阶梯曲线 step curve当且仅当 if and only if(iff)分段函数 piecewise function上界 upper bound下界 lower bound有界 boundedness无界 unbounded函数的单调性 monotonicity of a function单调增加的 increasing单调减少的 decreasing单调函数 monotone function函数的奇偶性 parity(odevity) of a function对称 symmetry偶函数 even function奇函数 odd function函数的周期性 periodicity of a function周期 period反函数 inverse function直接函数 direct function复合函数 composite function中间变量 intermediate variable函数的运算 operation of function基本初等函数 basic elementary function初等函数 elementary function幂函数 power function指数函数 exponential function对数函数 logarithmic function三角函数 trigonometric function反三角函数 inverse trigonometric function常数函数 constant function双曲函数 hyperbolic function双曲正弦 hyperbolic sine双曲余弦 hyperbolic cosine双曲正切 hyperbolic tangent反双曲正弦 inverse hyperbolic sine反双曲余弦 inverse hyperbolic cosine反双曲正切 inverse hyperbolic tangent极限 limit数列 sequence of number收敛 convergence收敛于 a converge to a发散 divergent极限的唯一性 uniqueness of limits收敛数列的有界性 boundedness of a convergent sequence子列 subsequence函数的极限 limits of functions函数当x趋于x0时的极限 limit of functions as x approaches x0 左极限 left limit右极限 right limit单侧极限 one-sided limits水平渐近线 horizontal asymptote无穷小 infinitesimal无穷大 infinity铅直渐近线 vertical asymptote夹逼准则 squeeze rule单调数列 monotonic sequence高阶无穷小 infinitesimal of higher order低阶无穷小 infinitesimal of lower order同阶无穷小 infinitesimal of the same order整理：新少年特工 2007-10-8 18:37 回复此发言--------------------------------------------------------------------------------2 高等数学-翻译等阶无穷小 equivalent infinitesimal函数的连续性 continuity of a function增量 increment函数在x0连续 the function is continuous at x0左连续 left continuous右连续 right continuous区间上的连续函数 continuous function函数在该区间上连续 function is continuous on an interval不连续点 discontinuity point第一类间断点 discontinuity point of the first kind第二类间断点 discontinuity point of the second kind初等函数的连续性 continuity of the elementary functions定义区间 defined interval最大值 global maximum value (absolute maximum)最小值 global minimum value (absolute minimum)零点定理 the zero point theorem介值定理 intermediate value theorem第二章导数与微分Chapter2 Derivative and Differential速度 velocity匀速运动 uniform motion平均速度 average velocity瞬时速度 instantaneous velocity圆的切线 tangent line of a circle切线 tangent line切线的斜率 slope of the tangent line位置函数 position function导数 derivative可导 derivable函数的变化率问题 problem of the change rate of a function导函数 derived function左导数 left-hand derivative右导数 right-hand derivative单侧导数 one-sided derivatives在闭区间【a,b】上可导 is derivable on the closed interval [a,b]切线方程 tangent equation角速度 angular velocity成本函数 cost function边际成本 marginal cost链式法则 chain rule隐函数 implicit function显函数 explicit function二阶函数 second derivative三阶导数 third derivative高阶导数 nth derivative莱布尼茨公式 Leibniz formula对数求导法 log- derivative参数方程 parametric equation相关变化率 correlative change rata微分 differential可微的 differentiable函数的微分 differential of function自变量的微分 differential of independent variable微商 differential quotient间接测量误差 indirect measurement error绝对误差 absolute error相对误差 relative error第三章微分中值定理与导数的应用Chapter3 MeanValue Theorem of Differentials and the Application of Derivatives 罗马定理 Rolle’s theorem费马引理 Fermat’s lemma拉格朗日中值定理 Lagrange’s mean value theorem驻点 stationary point稳定点 stable point临界点 critical point辅助函数 auxiliary function拉格朗日中值公式 Lagrange’s mean value formula柯西中值定理 Cauchy’s mean value theorem洛必达法则 L’Hospital’s Rule0/0型不定式 indeterminate form of type 0/0不定式 indeterminate form泰勒中值定理 Taylor’s mean value theorem泰勒公式 Taylor formula余项 remainder term拉格朗日余项 Lagrange remainder term麦克劳林公式 Maclaurin’s formula佩亚诺公式 Peano remainder term凹凸性 concavity凹向上的 concave upward, cancave up凹向下的，向上凸的 concave downward’ concave down 拐点 inflection point函数的极值 extremum of function极大值 local(relative) maximum最大值 global(absolute) mximum极小值 local(relative) minimum最小值 global(absolute) minimum目标函数 objective function曲率 curvature弧微分 arc differential平均曲率 average curvature曲率园 circle of curvature曲率中心 center of curvature曲率半径 radius of curvature渐屈线 evolute渐伸线 involute根的隔离 isolation of root隔离区间 isolation interval切线法 tangent line method第四章不定积分Chapter4 Indefinite Integrals原函数 primitive function(antiderivative)积分号 sign of integration被积函数 integrand积分变量 integral variable积分曲线 integral curve积分表 table of integrals换元积分法 integration by substitution分部积分法 integration by parts分部积分公式 formula of integration by parts有理函数 rational function真分式 proper fraction假分式 improper fraction第五章定积分Chapter5 Definite Integrals曲边梯形 trapezoid with曲边 curve edge窄矩形 narrow rectangle曲边梯形的面积 area of trapezoid with curved edge积分下限 lower limit of integral积分上限 upper limit of integral积分区间 integral interval分割 partition积分和 integral sum可积 integrable矩形法 rectangle method积分中值定理 mean value theorem of integrals函数在区间上的平均值 average value of a function on an integvals 牛顿－莱布尼茨公式 Newton-Leibniz formula微积分基本公式 fundamental formula of calculus换元公式 formula for integration by substitution递推公式 recurrence formula反常积分 improper integral反常积分发散 the improper integral is divergent反常积分收敛 the improper integral is convergent无穷限的反常积分 improper integral on an infinite interval无界函数的反常积分 improper integral of unbounded functions绝对收敛 absolutely convergent第六章定积分的应用Chapter6 Applications of the Definite Integrals元素法 the element method面积元素 element of area平面图形的面积 area of a luane figure直角坐标又称“笛卡儿坐标 (Cartesian coordinates)”极坐标 polar coordinates抛物线 parabola椭圆 ellipse旋转体的面积 volume of a solid of rotation旋转椭球体 ellipsoid of revolution, ellipsoid of rotation曲线的弧长 arc length of acurve可求长的 rectifiable光滑 smooth功 work水压力 water pressure引力 gravitation变力 variable force第七章空间解析几何与向量代数Chapter7 Space Analytic Geometry and Vector Algebra向量 vector自由向量 free vector单位向量 unit vector零向量 zero vector相等 equal平行 parallel向量的线性运算 linear poeration of vector三角法则 triangle rule平行四边形法则 parallelogram rule交换律 commutative law结合律 associative law负向量 negative vector差 difference分配律 distributive law空间直角坐标系 space rectangular coordinates坐标面 coordinate plane卦限 octant向量的模 modulus of vector向量a与b的夹角 angle between vector a and b方向余弦 direction cosine方向角 direction angle向量在轴上的投影 projection of a vector onto an axis数量积，外积，叉积 scalar product,dot product,inner product 曲面方程 equation for a surface球面 sphere旋转曲面 surface of revolution母线 generating line轴 axis圆锥面 cone顶点 vertex旋转单叶双曲面 revolution hyperboloids of one sheet旋转双叶双曲面 revolution hyperboloids of two sheets柱面 cylindrical surface ,cylinder圆柱面 cylindrical surface准线 directrix抛物柱面 parabolic cylinder二次曲面 quadric surface椭圆锥面 dlliptic cone椭球面 ellipsoid单叶双曲面 hyperboloid of one sheet双叶双曲面 hyperboloid of two sheets旋转椭球面 ellipsoid of revolution椭圆抛物面 elliptic paraboloid旋转抛物面 paraboloid of revolution双曲抛物面 hyperbolic paraboloid马鞍面 saddle surface椭圆柱面 elliptic cylinder双曲柱面 hyperbolic cylinder抛物柱面 parabolic cylinder空间曲线 space curve空间曲线的一般方程 general form equations of a space curve空间曲线的参数方程 parametric equations of a space curve螺转线 spiral螺矩 pitch投影柱面 projecting cylinder投影 projection平面的点法式方程 pointnorm form eqyation of a plane法向量 normal vector平面的一般方程 general form equation of a plane两平面的夹角 angle between two planes点到平面的距离 distance from a point to a plane空间直线的一般方程 general equation of a line in space方向向量 direction vector直线的点向式方程 pointdirection form equations of a line方向数 direction number直线的参数方程 parametric equations of a line两直线的夹角 angle between two lines垂直 perpendicular直线与平面的夹角 angle between a line and a planes平面束 pencil of planes平面束的方程 equation of a pencil of planes行列式 determinant系数行列式 coefficient determinant第八章多元函数微分法及其应用Chapter8 Differentiation of Functions of Several Variables and Its Application 一元函数 function of one variable多元函数 function of several variables内点 interior point外点 exterior point边界点 frontier point,boundary point聚点 point of accumulation开集 openset闭集 closed set连通集 connected set开区域 open region闭区域 closed region有界集 bounded set无界集 unbounded setn维空间 n-dimentional space二重极限 double limit多元函数的连续性 continuity of function of seveal连续函数 continuous function不连续点 discontinuity point一致连续 uniformly continuous偏导数 partial derivative对自变量x的偏导数 partial derivative with respect to independent variable x 高阶偏导数 partial derivative of higher order二阶偏导数 second order partial derivative混合偏导数 hybrid partial derivative全微分 total differential偏增量 oartial increment偏微分 partial differential全增量 total increment可微分 differentiable必要条件 necessary condition充分条件 sufficient condition叠加原理 superpostition principle全导数 total derivative中间变量 intermediate variable隐函数存在定理 theorem of the existence of implicit function曲线的切向量 tangent vector of a curve法平面 normal plane向量方程 vector equation向量值函数 vector-valued function切平面 tangent plane法线 normal line方向导数 directional derivative梯度 gradient数量场 scalar field梯度场 gradient field向量场 vector field势场 potential field引力场 gravitational field引力势 gravitational potential曲面在一点的切平面 tangent plane to a surface at a point曲线在一点的法线 normal line to a surface at a point无条件极值 unconditional extreme values条件极值 conditional extreme values拉格朗日乘数法 Lagrange multiplier method拉格朗日乘子 Lagrange multiplier经验公式 empirical formula最小二乘法 method of least squares均方误差 mean square error第九章重积分Chapter9 Multiple Integrals二重积分 double integral可加性 additivity累次积分 iterated integral体积元素 volume element三重积分 triple integral直角坐标系中的体积元素 volume element in rectangular coordinate system 柱面坐标 cylindrical coordinates柱面坐标系中的体积元素 volume element in cylindrical coordinate system 球面坐标 spherical coordinates球面坐标系中的体积元素 volume element in spherical coordinate system 反常二重积分 improper double integral曲面的面积 area of a surface质心 centre of mass静矩 static moment密度 density形心 centroid转动惯量 moment of inertia参变量 parametric variable第十章曲线积分与曲面积分Chapter10 Line(Curve)Integrals and Surface Integrals对弧长的曲线积分 line integrals with respect to arc hength第一类曲线积分 line integrals of the first type对坐标的曲线积分 line integrals with respect to x,y,and z第二类曲线积分 line integrals of the second type有向曲线弧 directed arc单连通区域 simple connected region复连通区域 complex connected region格林公式 Green formula第一类曲面积分 surface integrals of the first type对面的曲面积分 surface integrals with respect to area有向曲面 directed surface对坐标的曲面积分 surface integrals with respect to coordinate elements 第二类曲面积分 surface integrals of the second type有向曲面元 element of directed surface高斯公式 gauss formula拉普拉斯算子 Laplace operator格林第一公式 Green’s first formula通量 flux散度 divergence斯托克斯公式 Stokes formula环流量 circulation旋度 rotation,curl第十一章无穷级数Chapter11 Infinite Series一般项 general term部分和 partial sum余项 remainder term等比级数 geometric series几何级数 geometric series公比 common ratio调和级数 harmonic series柯西收敛准则 Cauchy convergence criteria, Cauchy criteria for convergence 正项级数 series of positive terms达朗贝尔判别法 D’Alembert test柯西判别法 Cauchy test交错级数 alternating series绝对收敛 absolutely convergent条件收敛 conditionally convergent柯西乘积 Cauchy product函数项级数 series of functions发散点 point of divergence收敛点 point of convergence收敛域 convergence domain和函数 sum function幂级数 power series幂级数的系数 coeffcients of power series阿贝尔定理 Abel Theorem收敛半径 radius of convergence收敛区间 interval of convergence泰勒级数 Taylor series麦克劳林级数 Maclaurin series二项展开式 binomial expansion近似计算 approximate calculation舍入误差 round-off error,rounding error欧拉公式 Euler’s formula魏尔斯特拉丝判别法 Weierstrass test三角级数 trigonometric series振幅 amplitude角频率 angular frequency初相 initial phase矩形波 square wave谐波分析 harmonic analysis直流分量 direct component基波 fundamental wave二次谐波 second harmonic三角函数系 trigonometric function system傅立叶系数 Fourier coefficient傅立叶级数 Forrier series周期延拓 periodic prolongation正弦级数 sine series余弦级数 cosine series奇延拓 odd prolongation偶延拓 even prolongation傅立叶级数的复数形式 complex form of Fourier series第十二章微分方程Chapter12 Differential Equation解微分方程 solve a dirrerential equation常微分方程 ordinary differential equation偏微分方程 partial differential equation,PDE微分方程的阶 order of a differential equation微分方程的解 solution of a differential equation微分方程的通解 general solution of a differential equation初始条件 initial condition微分方程的特解 particular solution of a differential equation 初值问题 initial value problem微分方程的积分曲线 integral curve of a differential equation 可分离变量的微分方程 variable separable differential equation 隐式解 implicit solution隐式通解 inplicit general solution衰变系数 decay coefficient衰变 decay齐次方程 homogeneous equation一阶线性方程 linear differential equation of first order非齐次 non-homogeneous齐次线性方程 homogeneous linear equation非齐次线性方程 non-homogeneous linear equation常数变易法 method of variation of constant暂态电流 transient stata current稳态电流 steady state current伯努利方程 Bernoulli equation全微分方程 total differential equation积分因子 integrating factor高阶微分方程 differential equation of higher order悬链线 catenary高阶线性微分方程 linera differential equation of higher order自由振动的微分方程 differential equation of free vibration强迫振动的微分方程 differential equation of forced oscillation串联电路的振荡方程 oscillation equation of series circuit二阶线性微分方程 second order linera differential equation线性相关 linearly dependence线性无关 linearly independce二阶常系数齐次线性微分方程 second order homogeneour linear differential equation with constant coefficient二阶变系数齐次线性微分方程 second order homogeneous linear differential equation with variable coefficient特征方程 characteristic equation无阻尼自由振动的微分方程 differential equation of free vibration with zero damping 固有频率 natural frequency简谐振动 simple harmonic oscillation,simple harmonic vibration微分算子 differential operator待定系数法 method of undetermined coefficient共振现象 resonance phenomenon欧拉方程 Euler equation幂级数解法 power series solution数值解法 numerial solution勒让德方程 Legendre equation微分方程组 system of differential equations常系数线性微分方程组system of linera differential equations with constant coefficient线性代数Aadjont(adjugate) of matrix A A 的伴随矩阵augmented matrix A 的增广矩阵Bblock diagonal matrix 块对角矩阵block matrix 块矩阵basic solution set 基础解系CCauchy-Schwarz inequality 柯西-许瓦兹不等式characteristic equation 特征方程characteristic polynomial 特征多项式coffcient matrix 系数矩阵cofactor 代数余子式cofactor expansion 代数余子式展开column vector 列向量commuting matrices 交换矩阵consistent linear system 相容线性方程组Cramer’s rule 克莱姆法则Cross- product term 交叉项DDeterminant 行列式Diagonal entries 对角元素Diagonal matrix 对角矩阵Dimension of a vector space V 向量空间V的维数Eechelon matrix 梯形矩阵eigenspace 特征空间eigenvalue 特征值eigenvector 特征向量eigenvector basis 特征向量的基elementary matrix 初等矩阵elementary row operations 行初等变换Ffull rank 满秩fundermental set of solution 基础解系G[center]grneral solution 通解Gram-Schmidt process 施密特正交化过程Hhomogeneous linear equations 齐次线性方程组Iidentity matrix 单位矩阵inconsistent linear system 不相容线性方程组indefinite matrix 不定矩阵indefinit quatratic form 不定二次型infinite-dimensional space 无限维空间inner product 内积inverse of matrix A 逆矩阵Llinear combination 线性组合linearly dependent 线性相关linearly independent 线性无关linear transformation 线性变换lower triangular matrix 下三角形矩阵Mmain diagonal of matrix A 矩阵的主对角matrix 矩阵N[center]negative definite quaratic form 负定二次型negative semidefinite quadratic form 半负定二次型nonhomogeneous equations 非齐次线性方程组nonsigular matrix 非奇异矩阵nontrivial solution 非平凡解norm of vector V 向量V的范数normalizing vector V 规范化向量Oorthogonal basis 正交基orthogonal complement 正交补orthogonal decomposition 正交分解orthogonally diagonalizable matrix 矩阵的正交对角化orthogonal matrix 正交矩阵orthogonal set 正交向量组orthonormal basis 规范正交基orthonomal set 规范正交向量组[b]Ppartitioned matrix 分块矩阵positive definite matrix 正定矩阵positive definite quatratic form 正定二次型positive semidefinite matrix 半正定矩阵positive semidefinite quadratic form 半正定二次型Qquatratic form 二次型[center]R[/center]rank of matrix A 矩阵A的秩 r(A) reduced echelon matrix 最简梯形阵row vector 行向量Sset spanned by { } 由向量{ }所生成similar matrices 相似矩阵similarity transformation 相似变换singular matrix 奇异矩阵solution set 解集合standard basis 标准基standard matrix 标准矩阵Isubmatrix 子矩阵subspace 子空间symmetric matrix 对称矩阵Ttrace of matrix A 矩阵A 的迹 tr(A)transpose of A 矩阵A的转秩triangle inequlity 三角不等式trivial solution 平凡解Uunit vector 单位向量upper triangular matrix 上三角形矩阵Vvandermonde matrix 范得蒙矩阵vector 向量vector space 向量空间Zzero subspace 零子空间zero vector 零空间（本文已被浏览 133 次）。

线代名词中英文对照

《线性代数》英文专业词汇序号英文中文1LinearAlgebra线性代数2determinant行列式3row行4column列5element元素6diagonal对角线7principaldiagona主对角线8auxiliarydiagonal次对角线9transposeddeterminant转置行列式10triangulardeterminants三角行列式11thenumberofinversions逆序数12evenpermutation奇排列13oddpermutation偶排列14parity奇偶性15interchange互换16absolutevalue绝对值17identity恒等式18n-orderdeterminantsn阶行列式19evaluationofdeterminant行列式的求值20Laplace’sexpansiontheorem拉普拉斯展开定理21cofactor余子式22Algebracofactor代数余子式23theVandermondedeterminant范德蒙行列式24bordereddeterminant加边行列式25reductionoftheorderofadeterminant降阶法26methodofRecursionrelation递推法27induction归纳法28Cramer′s rule克莱姆法则29matrix矩阵30rectangular矩形的31thezeromatrix零矩阵32theidentitymatrix单位矩阵33symmetric对称的序号英文中文34skew-symmetric反对称的35commutativelaw交换律36squareMatrix方阵37amatrixoforder m×n矩阵m×n38thedeterminantofmatrixA方阵A的行列式39operationsonMatrices矩阵的运算40atransposedmatrix转置矩阵41aninversematrix逆矩阵42anconjugatematrix共轭矩阵43andiagonalmatrix对角矩阵44anadjointmatrix伴随矩阵45singularmatrix奇异矩阵46nonsingularmatrix非奇异矩阵47elementarytransformations初等变换48vectors向量49components分量50linearlycombination线性组合51spaceofarithmeticalvectors向量空间52subspace子空间53dimension维54basis基55canonicalbasis规范基56coordinates坐标57decomposition分解58transformationmatrix过渡矩阵59linearlyindependent线性无关60linearlydependent线性相关61theminorofthe k thorderk阶子式62rankofaMatrix矩阵的秩63rowvectors行向量64columnvectors列向量65themaximallinearlyindependentsubsystem最大线性无关组66Euclideanspace欧几里德空间67Unitaryspace酉空间序号英文中文68systemsoflinearequations线性方程组69eliminationmethod消元法70homogenous齐次的71nonhomogenous非齐次的72equivalent等价的73component-wise分式74necessaryandsufficientcondition充要条件75incompatiable无解的76uniquesolution唯一解77thematrixofthecoefficients系数矩阵78augmentedmatrix增广矩阵79generalsolution通解80particularsolution特解81trivialsolution零解82nontrivialsolution非零解83thefundamentalsystemofsolutions基础解系84eigenvalue特征值85eigenvector特征向量86characteristicpolynomial特征多项式87characteristicequation特征方程88scalarproduct内积89normedvector单位向量90orthogonal正交的91orthogonalization正交化92theGram-Schmidtprocess正交化过程93reducingamatrixtothediagonalform对角化矩阵94orthonormalbasis标准正交基95orthogonaltransformation正交变换96lineartransformation线性变换97quadraticforms二次型98canonicalform标准型99thecanonicalformofaquadraticform二次型的标准型100themethodofseparatingperfectsquares配完全平方法101thesecond-ordercurve二次曲线102coordinatetransformation坐标变换。

线代英语词汇

线代英语词汇Lecture第几课Topic话题System of equation方程组Solve求解The method of solution求解方法Determinant 行列式Elimination 消元Software package软件程序Matrix---matrices矩阵——pl Efficient way高效的Sort of…..某些（口）Back substitution回代Gauss 高斯Course课程Unknowns未知数Right-hand side方程式的右边Vector向量（包括行和列）Describe描述Equal sign等号Plus加Multiply乘time(矩阵) Subtract减Purpose目的Pivot主元Row行Pivot row主元行Matlab数学实验室Position所在位置Column列Index下标Recursive递归Algorithm算法Negative负的Upper triangular上三角矩阵Zero零Switch row行变换Exchange rowAugment增广矩阵Minus负的PlusOperation操作Elimination matrices消除矩阵Specially important Parallel Row operations对行的操作（三种）Dot product点乘Elementary matrix初等矩阵Parentheses小括号Associative law结合律Permutation matrix 置换矩阵Guass given order高斯规定顺序Commutative law交换律Inverse逆矩阵Linear algebraMultiplyMatrix—matricesMultiplicationInverse可逆的Entry元素RowColumnTwo index下标Square方阵Rectangular长方形Summation求和Formula公式VectorShapes矩阵的型Suppose假设Specific具体的Accumulate累加Full size列向量乘行向量出来的Match匹配A的列等于B的行Properly正确的InverseIdentity单位矩阵Left inverse左乘得单位矩阵Right inverseNegative positiveNon-singular 矩阵行列式不为0 singularIdentifyDeterminantsAugmented matrix增广矩阵Mechanics 运作机理Gauss-JordanEqualElimination消元。

线性代数_常用单词词组_中英对照

IndexEconomics 经济学435,439 Eigencourse 457,458Eigenvalue 特征值283,287,374,499 Eigenvalue changes 特征值变换439Eigenvalues of 的特征值284,294,300 Eigenvalues of 的特征值297Eigenvalues of 的特征值362Eigenvector basis 基底的特征向量399Eigenvectors 特征向量283,287,374Eigshow 290,368Elimination 消元法45-66,83,86,135 Ellipse 椭圆290,346,366,382 Energy 能量343,409Engineering 工程409,419Error 误差211,218,219,225,481,483 Error equation 误差方程477Euler angles 欧拉角474Euler’s formula 欧拉公式311,426,430,497Even 偶数113,246,258,452 Exponential 指数的314,319,327FFactorization 因式分解95,110,235,348,370,374Householder reflections 镜像变换237,469,472 Hyperplane 超平面30,42IIll-conditioned matrix 病态矩阵371,473,474 Imaginary 虚数289Independent 独立的26,27,134,168,200,300 Initial value 初值313Inner product 积11,56,108,448,502,506 Input and output basis 基底输入输出399Integral 积分24,385,386Interior point method 点法445Intersection of spaces 交空间129,183Inverse matrix 逆矩阵24,81,270Inverse of的逆82Invertible 可逆的86,173,200,248 Iteration 迭代481,482,484,489,492 JJacobi 雅可比481,483,485,489 Jordan form 约当型356,357,358,361,482 JPEG 364,373KKalman filter 卡尔曼滤波器93,214Kernel 核377,380Kirchhoff’s Laws 基尔霍夫定律143,189,420,424-427 Krylov 克雷洛夫491,492Lnorm 和数225,480Lagrange multiplier 拉格朗日乘子445Lanczos method 兰索斯方法490,492LAPACK 线性代数软件包98,237,486Leapfrog method 跳步法317,329Least squares 最小平方218,219,236,405,408,453 Left nullspace左零空间184,186,192,425Left-inverse 左逆的81,86,154,405Length 长度12,232,447,448,501 Line 线34,40,221,474Line of springs 线弹簧411Linear bination 线性组合1,3Linear equation 线性方程23Linear programming 线性规划440Linear transformation 线性变换44,375-398Linearity 线性关系44,245,246Linearly independent 线性独立26,134,168,169,200 LINPACK 线性系统软件包465Loop 环路307,425,426Lower triangular 下三角9598,100,474Lucas numbers 卢卡斯数306MMaple 38,100Mathematica 38,100MATLAB 17,37,237,243,290,337,513 Matrix(see full page 570) 矩阵22,384,387Matrix exponential 矩阵指数314,319,327Matrix multiplication 矩阵乘法58,59,67,389Matrix notation 矩阵记号37Matrix space 矩阵空间121,122,175,181,311Matrix 矩阵-1,2,-1 matrix -1，2，-1矩阵106,167,261,265,349,374,410,48Adjacency, 邻接矩阵74,80,311,369All-ones 全1矩阵251,262,307,348 Augmented 增广矩阵60,84,155Band 带状矩阵99,468,469Block 分块矩阵70,94,115,266,348Circulant 循环矩阵507,515. .- -可修编.。

线性代数》英文专业词汇

线性代数》英文专业词汇has a unique valueinvertible matrixadjoint matrixinverse matrixelementary matrix___column nrank of a matrixlinearly independentlinearly dependentspanbasis_______________diagonalizable matrix___ ___singular value nmatrix norm___positive definite matrixpositive semi-definite matrixnegative definite matrixnegative semi-definite matrix___ deals with the study of linear ___。

One of the key concepts in linear algebra is the determinant。

___ from a square matrix。

The ___.A matrix is a rectangular array of numbers that is used to ___。

The identity matrix is a special type of matrix that has ones on the___ matrix is equal to its transpose。

while a skew-symmetric matrix is equal to the negative of ___ that the order of matrix ___.The rank of a matrix is the maximum number of linearly independent rows or columns it contains。

线代名词中英文对照

对角矩阵
44
an adjoint matrix
伴随矩阵
45
singular matrix
奇异矩阵
46
nonsingular matrix
非奇异矩阵
47
elementary transformations
初等变换
48
vectors
向量
49
components
分量
50
linearly combination
矩阵m×n
38
the determinant of matrix A
方阵A的行列式
39
operations on Matrices
矩阵的运算
40
a transposed matrix
转置矩阵
41
an inverse matrix
逆矩阵
42
an conjugate matrix
共轭矩阵
43
an diagonal matrix
范德蒙行列式
24
bordered determinant
加边行列式
25
reduction of the order of a determinant
降阶法
26
method of Recursion relation
递推法
27
induction
归纳法
28
Cramer´srule
克莱姆法则
29
matrix
98
canonical form
标准型
99
the canonical form of a quadratic form
二次型的标准型
100