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收(Shou)藏(Cang)！高(Gao)等(Deng)数(Shu)学(Xue)英(Ying)文(Wen)术(Shu)语(Yu)对(Dui)照(Zhao)表(Biao)2018-12-31 12:12·中(Zhong)考(Kao)数(Shu)学(Xue)压(Ya)轴(Zhou)题(Ti)Advanced Mathematical Vocabulary高(Gao)等(Deng)数(Shu)学(Xue)数(Shu)学(Xue)词(Ci)汇(Hui)英(Ying)汉(Han)对(Dui)照(Zhao)表(Biao)Aabscissa, X-coordinate 横(Heng)坐(Zuo)标(Biao)absolute value 绝(Jue)对(Dui)值(Zhi)absolute convergence 绝(Jue)对(Dui)收(Shou)敛(Lian)acceleration 加(Jia)速(Su)度(Du)accumulating point 聚(Ju)点(Dian)accuracy 精(Jing)度(Du)addition, add, sum, summation 和(He)，求(Qiu)和(He)，加(Jia)法(Fa)adjugate matrix 转(Zhuan)置(Zhi)伴(Ban)随(Sui)阵(Zhen)algebra 代(Dai)数(Shu)algorithm 算(Suan)法(Fa)angle 角(Jiao)antiderivative, primitive function 反(Fan)导(Dao)数(Shu)，原(Yuan)函(Han)数(Shu)approach 趋(Qu)近(Jin)arc 弧(Hu)area of a plane region 平(Ping)面(Mian)图(Tu)形(Xing)的(De)面(Mian)积(Ji)area of a plane region bounded by curves 由(You)曲(Qu)面(Mian)围(Wei)成(Cheng)的(De)平(Ping)面(Mian)图(Tu)形(Xing)的(De)面(Mian)积(Ji)area of surface 曲(Qu)面(Mian)面(Mian)积(Ji)assume, assumption 假(Jia)设(She)asteroid 星(Xing)形(Xing)线(Xian)asymptote 渐(Jian)近(Jin)线(Xian)x-axis, y-axis x 轴(Zhou)，y 轴(Zhou)auxiliary equation, characteristic equation 辅(Fu)助(Zhu)方(Fang)程(Cheng)，特(Te)征(Zheng)方(Fang)程(Cheng)Bbasis 基(Ji)boundary 边(Bian)界(Jie)bounded by 被(Bei)…所(Suo)围(Wei)成(Cheng)boundedness 有(You)界(Jie)性(Xing)Ccalculus 微(Wei)积(Ji)分(Fen)cardioid 心(Xin)脏(Zang)线(Xian)center of gravity 重(Zhong)心(Xin)center of mass 质(Zhi)心(Xin)centroid 形(Xing)心(Xin)chain rule 链(Lian)式(Shi)法(Fa)则(Ze)characteristic root 特(Te)征(Zheng)根(Gen)chord 弦(Xian)circle 圆(Yuan)coefficient 系(Xi)数(Shu)cofactor 代(Dai)数(Shu)余(Yu)子(Zi)式(Shi)column 列(Lie)，elementary column transformation (operation) 初(Chu)等(Deng)列(Lie)变(Bian)换(Huan)combination 组(Zu)合(He)comparison test 比(Bi)较(Jiao)判(Pan)别(Bie)法(Fa)complex number 复(Fu)数(Shu)composition of functions 复(Fu)合(He)函(Han)数(Shu)concave, concavity 凹(Ao)，凹(Ao)性(Xing)condition 条(Tiao)件(Jian)，conditionally convergent 条(Tiao)件(Jian)收(Shou)敛(Lian)confidence interval 置(Zhi)信(Xin)区(Qu)间(Jian)cone 锥(Zhui)面(Mian)conj ugate 共(Gong)轭(Zuo)conjugate complex number 共(Gong)轭(Zuo)复(Fu)数(Shu)conjugate c urve 共(Gong)轭(Zuo)曲(Qu)线(Xian)consistent 相(Xiang)容(Rong)constant 常(Chang)数(Shu)continuous 连(Lian)续(Xu)的(De)contour, level line 等(Deng)值(Zhi)线(Xian)，等(Deng)高(Gao)线(Xian)contradiction 矛(Mao)盾(Dun)，by contradiction 反(Fan)证(Zheng)法(Fa)convergence, convergent 收(Shou)敛(Lian)，convergence test 收(Shou)敛(Lian)性(Xing)判(Pan)别(Bie)法(Fa)convex, convexity 凸(Tu)，凸(Tu)性(Xing)coordinate system 坐(Zuo)标(Biao)系(Xi)，rectangular/cylindrical/spherical coordinate system 直(Zhi)角(Jiao)/柱(Zhu)面(Mian)/球(Qiu)面(Mian)坐(Zuo)标(Biao)系(Xi)，polar coordinate system 极(Ji)坐(Zuo)标(Biao)系(Xi)coordinates of vector 向(Xiang)量(Liang)的(De)坐(Zuo)标(Biao)corollary 推(Tui)论(Lun)Cramer’s Rule 克(Ke)拉(La)默(Mo)法(Fa)则(Ze)cross product (or outer product, vector product) 叉(Cha)积(Ji)（或(Huo)外(Wai)积(Ji)、向(Xiang)量(Liang)积(Ji)）cumulant 积(Ji)累(Lei)量(Liang)cumulant generating function 积(Ji)累(Lei)量(Liang)母(Mu)函(Han)数(Shu)curve 曲(Qu)面(Mian)cylinder 柱(Zhu)面(Mian)D(is) defined to be 定(Ding)义(Yi)为(Wei)definite integral 定(Ding)积(Ji)分(Fen)definite integral with variable upper limit 积(Ji)分(Fen)上(Shang)限(Xian)函(Han)数(Shu)definition 定(Ding)义(Yi)denominator 分(Fen)母(Mu)denote, denote to be, denoted by 表(Biao)示(Shi)为(Wei)dependent variable 因(Yin)变(Bian)量(Liang)derivative 导(Dao)数(Shu)determinant 行(Xing)列(Lie)式(Shi)diagonal 对(Dui)角(Jiao)线(Xian)，diagonalization of a marix 矩(Ju)阵(Zhen)的(De)对(Dui)角(Jiao)化(Hua)diameter 直(Zhi)径(Jing)dimension 维(Wei)，维(Wei)数(Shu)directional angle 方(Fang)向(Xiang)角(Jiao)directional cosines 方(Fang)向(Xiang)余(Yu)弦(Xian)discrete 离(Li)散(San)的(De)disk 圆(Yuan)盘(Pan)，圆(Yuan)盘(Pan)闭(Bi)区(Qu)域(Yu)divergent, divergence 发(Fa)散(San)displacement 位(Wei)移(Yi)first/second/nth derivative 一(Yi)阶(Jie)/二(Er)阶(Jie)/n 阶(Jie)导(Dao)数(Shu)right-hand (left-hand) derivative 右(You)（左(Zuo)）导(Dao)数(Shu)difference, subtraction, subtract 差(Cha)，减(Jian)法(Fa)，相(Xiang)减(Jian)differentiable 可(Ke)倒(Dao)的(De)，可(Ke)微(Wei)的(De)differential 微(Wei)分(Fen)，differential calculus 微(Wei)分(Fen)学(Xue)discontinuity 间(Jian)断(Duan)，point of discontinuity 间(Jian)断(Duan)点(Dian)distribution 分(Fen)布(Bu)normal distribution 正(Zheng)态(Tai)分(Fen)布(Bu)Bernoulli distribution 伯(Bo)努(Nu)利(Li)分(Fen)布(Bu)binomial distribution 二(Er)项(Xiang)分(Fen)布(Bu)Poisson distribution 泊(Bo)松(Song)分(Fen)布(Bu)negative binomial distribution 负(Fu)二(Er)项(Xiang)分(Fen)布(Bu)geometric distribution 几(Ji)何(He)分(Fen)布(Bu)hypergeometric distribution 超(Chao)几(Ji)何(He)分(Fen)布(Bu)uniform distribution 均(Jun)匀(Yun)分(Fen)布(Bu)exponential distribution 指(Zhi)数(Shu)分(Fen)布(Bu)Gamma distribution 伽(Zuo)马(Ma)分(Fen)布(Bu)Weibull distribution 韦(Wei)伯(Bo)尔(Er)分(Fen)布(Bu)lognormal distribution 对(Dui)数(Shu)正(Zheng)态(Tai)分(Fen)布(Bu)chi-distribution 卡(Ka)方(Fang)分(Fen)布(Bu)student t-distribution 学(Xue)生(Sheng)t 分(Fen)布(Bu)F-distribution F 分(Fen)布(Bu)division, divide, quotient 除(Chu)法(Fa)，相(Xiang)除(Chu)，商(Shang)domain, natural domain 定(Ding)义(Yi)域(Yu)，自(Zi)然(Ran)定(Ding)义(Yi)域(Yu)dot product (or inner product, scalar product) 点(Dian)积(Ji)（或(Huo)内(Nei)积(Ji)、数(Shu)量(Liang)积(Ji)）double product 二(Er)重(Zhong)积(Ji)分(Fen)Eeigenvalue, eigenvector 特(Te)征(Zheng)值(Zhi)，特(Te)征(Zheng)向(Xiang)量(Liang)element 元(Yuan)素(Su)elementary transformation 初(Chu)等(Deng)变(Bian)换(Huan)ellipse 椭(Tuo)圆(Yuan)ellipsoid 椭(Tuo)球(Qiu)面(Mian)elliptic cylinder 椭(Tuo)圆(Yuan)柱(Zhu)面(Mian)entry 向(Xiang)量(Liang)的(De)分(Fen)量(Liang)，元(Yuan)素(Su)equal, be equal to 相(Xiang)等(Deng)，equation 等(Deng)式(Shi)equilibrium 平(Ping)衡(Heng)even function 偶(Ou)函(Han)数(Shu)exclusive 互(Hu)斥(Chi)的(De)mutually exclusive 完(Wan)全(Quan)互(Hu)斥(Chi)expansion 展(Zhan)开(Kai)式(Shi)expectation (expected value) 期(Qi)望(Wang)exponential function 指(Zhi)数(Shu)函(Han)数(Shu)expression 表(Biao)达(Da)式(Shi)，express y in terms of x 将(Jiang)y 表(Biao)示(Shi)为(Wei)x 的(De)一(Yi)个(Ge)式(Shi)子(Zi)exterior point 外(Wai)点(Dian)absolute/global extreme values 最(Zui)大(Da)最(Zui)小(Xiao)值(Zhi)relative/local extreme values 极(Ji)值(Zhi)Ffactorial 阶(Jie)乘(Cheng)find, compute, evaluate 计(Ji)算(Suan)first-order linear differential equation 一(Yi)阶(Jie)线(Xian)性(Xing)微(Wei)分(Fen)方(Fang)程(Cheng)first-order separable differential equation 一(Yi)阶(Jie)可(Ke)分(Fen)离(Li)变(Bian)量(Liang)微(Wei)分(Fen)方(Fang)程(Cheng)focus 焦(Jiao)点(Dian)formula 公(Gong)式(Shi)fraction 分(Fen)数(Shu)proper fraction, 真(Zhen)分(Fen)数(Shu)，improper fraction 假(Jia)分(Fen)数(Shu)function 函(Han)数(Shu)function determined implicitly by equation 由(You)方(Fang)程(Cheng)确(Que)定(Ding)的(De)隐(Yin)函(Han)数(Shu)function determined by parametric equation 由(You)参(Can)数(Shu)方(Fang)程(Cheng)确(Que)定(Ding)的(De)函(Han)数(Shu)Foundation Theorem of Calculus 微(Wei)积(Ji)分(Fen)基(Ji)本(Ben)定(Ding)理(Li)fundamental solution 基(Ji)础(Chu)解(Jie)GGauss-Jordan Elimination 高(Gao)斯(Si)-若(Ruo)尔(Er)当(Dang)消(Xiao)元(Yuan)法(Fa)general equation of a plane 平(Ping)面(Mian)的(De)一(Yi)般(Ban)式(Shi)方(Fang)程(Cheng)general solution 通(Tong)解(Jie)generator 分(Fen)母(Mu)geometry 几(Ji)何(He)geometric meaning (interpretation, significance) of derivative 导(Dao)数(Shu)的(De)几(Ji)何(He)意(Yi)义(Yi)given 给(Gei)定(Ding)，设(She)gradient 梯(Ti)度(Du)gradient vector 梯(Ti)度(Du)向(Xiang)量(Liang)graph of a function 函(Han)数(Shu)图(Tu)像(Xiang)gravitational force 引(Yin)力(Li)Hhemisphere 半(Ban)球(Qiu)面(Mian)homogeneous equation 齐(Qi)次(Ci)方(Fang)程(Cheng)horizontal 水(Shui)平(Ping)horizontal asymptote 水(Shui)平(Ping)渐(Jian)近(Jin)线(Xian)hydrostatic force 水(Shui)压(Ya)力(Li)hyperbola 双(Shuang)曲(Qu)线(Xian)hyperbolic cylinder 双(Shuang)曲(Qu)柱(Zhu)面(Mian)hyperboloid 双(Shuang)曲(Qu)面(Mian)hyperboloid of one sheet 单(Dan)页(Ye)双(Shuang)曲(Qu)面(Mian)hypothesis 假(Jia)设(She)、题(Ti)设(She)hypothesis testing 假(Jia)设(She)检(Jian)验(Yan)Iidentity 恒(Heng)等(Deng)式(Shi)imaginary part 虚(Xu)部(Bu)improper integral 反(Fan)常(Chang)积(Ji)分(Fen)increment 增(Zeng)量(Liang)indefinite integral 不(Bu)定(Ding)积(Ji)分(Fen)independent variable 自(Zi)变(Bian)量(Liang)indeterminate form 未(Wei)定(Ding)式(Shi)index 指(Zhi)标(Biao)inequality 不(Bu)等(Deng)式(Shi)infinitesimal 无(Wu)穷(Qiong)小(Xiao)量(Liang)infinitesimal of higher order 高(Gao)阶(Jie)无(Wu)穷(Qiong)小(Xiao)equivalent of infinitesimals 等(Deng)价(Jia)无(Wu)穷(Qiong)小(Xiao)inflection point 拐(Guai)点(Dian)initial-value problem 初(Chu)值(Zhi)问(Wen)题(Ti)integer 整(Zheng)数(Shu)positive (negative) integer 正(Zheng)（负(Fu)）整(Zheng)数(Shu)integral 积(Ji)分(Fen)integral calculus 积(Ji)分(Fen)学(Xue)integrating factor 积(Ji)分(Fen)因(Yin)子(Zi)Lebesgue integral 勒(Le)贝(Bei)格(Ge)积(Ji)分(Fen)Riemann integral 黎(Li)曼(Man)积(Ji)分(Fen)integrable 可(Ke)积(Ji)的(De)integrable with variable upper limit 积(Ji)分(Fen)上(Shang)限(Xian)函(Han)数(Shu)integrand 被(Bei)积(Ji)函(Han)数(Shu)integration by parts 分(Fen)部(Bu)积(Ji)分(Fen)法(Fa)integration by substitution 换(Huan)元(Yuan)积(Ji)分(Fen)法(Fa)integration curve 积(Ji)分(Fen)曲(Qu)线(Xian)intercept 截(Jie)距(Ju)，x-intercept x 轴(Zhou)上(Shang)的(De)截(Jie)距(Ju)interior point 内(Nei)点(Dian)Intermediate value Theorem 介(Jie)值(Zhi)定(Ding)理(Li)intersect 相(Xiang)交(Jiao)intersection 交(Jiao)集(Ji)interval 区(Qu)间(Jian)closed (open) interval 闭(Bi)（开(Kai)）区(Qu)间(Jian)interval of convergence 收(Shou)敛(Lian)区(Qu)间(Jian)inverse 反(Fan)、逆(Ni)inverse function 反(Fan)函(Han)数(Shu)inverse matrix 逆(Ni)矩(Ju)阵(Zhen)inverse trigonometric function 反(Fan)三(San)角(Jiao)函(Han)数(Shu)inversely proportional to 反(Fan)比(Bi)与(Yu)irrational number 无(Wu)理(Li)数(Shu)iterated integral 累(Lei)次(Ci)积(Ji)分(Fen)iteration 秩(Zhi)代(Dai)JJacobian matrix 雅(Ya)各(Ge)比(Bi)矩(Ju)阵(Zhen)Llaminar 平(Ping)面(Mian)薄(Bao)片(Pian)Law of Parallelogram 平(Ping)行(Xing)四(Si)边(Bian)形(Xing)法(Fa)则(Ze)lemma 引(Yin)理(Li)length of an arc 弧(Hu)长(Chang)let 设(She)、令(Ling)limit 极(Ji)限(Xian)right-hand (left-hand) limit 右(You)（左(Zuo)）极(Ji)限(Xian)the limit of a sequence 数(Shu)列(Lie)极(Ji)限(Xian)the limit of f(x) as x approaches x 当(Dang)x 趋(Qu)近(Jin)于(Yu)x 时(Shi)f(x) 的(De)极(Ji)限(Xian)the limit of f(x) as x approaches infinity 当(Dang)趋(Qu)近(Jin)与(Yu)无(Wu)穷(Qiong)大(Da)时(Shi)f(x) 的(De)极(Ji)限(Xian)line integral 曲(Qu)线(Xian)积(Ji)分(Fen)line segment 线(Xian)段(Duan)linear algebra 线(Xian)性(Xing)代(Dai)数(Shu)linear approximation 线(Xian)性(Xing)逼(Bi)近(Jin)linear combination 线(Xian)性(Xing)组(Zu)合(He)linear function 线(Xian)性(Xing)函(Han)数(Shu)linear operations 线(Xian)性(Xing)运(Yun)算(Suan)linearly dependent (independent) 线(Xian)性(Xing)相(Xiang)关(Guan)/无(Wu)关(Guan)logarithmic differentiation 对(Dui)数(Shu)求(Qiu)导(Dao)法(Fa)logarithmic function 对(Dui)数(Shu)函(Han)数(Shu)lower limit 积(Ji)分(Fen)下(Xia)限(Xian)Mmapping 映(Ying)射(She)mathematics induction 数(Shu)学(Xue)归(Gui)纳(Na)法(Fa)matrix, matrics 矩(Ju)阵(Zhen)block matrix 分(Fen)块(Kuai)阵(Zhen)diagonal matrix 对(Dui)角(Jiao)阵(Zhen)elementary matrix 初(Chu)等(Deng)矩(Ju)阵(Zhen)identity matrix 单(Dan)位(Wei)矩(Ju)阵(Zhen)unit matrix 单(Dan)位(Wei)矩(Ju)阵(Zhen)invertible matrix 可(Ke)逆(Ni)矩(Ju)阵(Zhen)singular matrix 奇(Qi)异(Yi)阵(Zhen)，降(Jiang)秩(Zhi)阵(Zhen)non-degenerate matrix 非(Fei)退(Tui)化(Hua)阵(Zhen)scalar matrix 数(Shu)量(Liang)阵(Zhen)square matrix 方(Fang)阵(Zhen)orthogonal matrix 正(Zheng)交(Jiao)阵(Zhen)symmetric matrix 对(Dui)称(Cheng)阵(Zhen)skew-symmetric matrix 反(Fan)对(Dui)称(Cheng)阵(Zhen)full rank matrix 满(Man)秩(Zhi)阵(Zhen)maximum 最(Zui)大(Da)值(Zhi)maximal linearly independent subset 最(Zui)大(Da)线(Xian)性(Xing)无(Wu)关(Guan)组(Zu)mean value theorem 中(Zhong)值(Zhi)定(Ding)理(Li)median 中(Zhong)位(Wei)数(Shu)minimum 最(Zui)小(Xiao)值(Zhi)mixed product, box product 混(Hun)合(He)积(Ji)mode 众(Zhong)数(Shu)moment 矩(Ju)量(Liang)moment matrix 矩(Ju)量(Liang)矩(Ju)阵(Zhen)moment generating function 矩(Ju)量(Liang)母(Mu)函(Han)数(Shu)moment of a force 力(Li)矩(Ju)moment of inertia about x-axis 关(Guan)于(Yu)x 轴(Zhou)的(De)转(Zhuan)动(Dong)惯(Guan)量(Liang)monotonely decrease 单(Dan)调(Diao)减(Jian)少(Shao)monotonely increase 单(Dan)调(Diao)增(Zeng)加(Jia)monotonicity 单(Dan)调(Diao)性(Xing)multiplication, multiple, product 积(Ji)，乘(Cheng)法(Fa)，相(Xiang)乘(Cheng)multivariable function 多(Duo)元(Yuan)函(Han)数(Shu)Nnatural number 自(Zi)然(Ran)数(Shu)natural domain 自(Zi)然(Ran)定(Ding)义(Yi)域(Yu)necessary condition 必(Bi)要(Yao)条(Tiao)件(Jian)neighborhood 邻(Lin)域(Yu)deleted neighborhood 去(Qu)心(Xin)邻(Lin)域(Yu)nontrivial solution 非(Fei)平(Ping)凡(Fan)解(Jie)norm 范(Fan)数(Shu)normal line 法(Fa)线(Xian)normal plane 法(Fa)平(Ping)面(Mian)normal vector 法(Fa)向(Xiang)量(Liang)notation 记(Ji)号(Hao)numerator 分(Fen)子(Zi)Oodd function 奇(Qi)函(Han)数(Shu)order 次(Ci)序(Xu)/ 阶(Jie)/导(Dao)数(Shu)的(De)阶(Jie)/矩(Ju)阵(Zhen)的(De)阶(Jie)/行(Xing)列(Lie)式(Shi)的(De)阶(Jie)operation 运(Yun)算(Suan)optimization 最(Zui)优(You)化(Hua)order-reducible differential equation 可(Ke)降(Jiang)阶(Jie)微(Wei)分(Fen)方(Fang)程(Cheng)ordinary differential equation (ODE) 常(Chang)微(Wei)分(Fen)方(Fang)程(Cheng)ordinate, y-coordinate 纵(Zong)坐(Zuo)标(Biao)orthogonal 正(Zheng)交(Jiao)的(De)orthogonal basis 正(Zheng)交(Jiao)基(Ji)orthonormal basis 规(Gui)范(Fan)正(Zheng)交(Jiao)基(Ji)oscillatory 振(Zhen)动(Dong)的(De)Pparabola 抛(Pao)物(Wu)线(Xian)parabolic cylinder 抛(Pao)物(Wu)柱(Zhu)面(Mian)paraboloid 抛(Pao)物(Wu)面(Mian)parallel to 平(Ping)行(Xing)于(Yu)parallelogram 平(Ping)行(Xing)四(Si)边(Bian)形(Xing)parameter 参(Can)数(Shu)parametric equations of a line 直(Zhi)线(Xian)的(De)参(Can)数(Shu)方(Fang)程(Cheng)parity of a function 函(Han)数(Shu)的(De)奇(Qi)偶(Ou)性(Xing)partial derivative 偏(Pian)导(Dao)数(Shu)first partial derivative 一(Yi)阶(Jie)偏(Pian)导(Dao)数(Shu)mixed higher partial derivative 高(Gao)阶(Jie)混(Hun)合(He)偏(Pian)导(Dao)数(Shu)part 部(Bu)分(Fen)integration by parts 分(Fen)部(Bu)积(Ji)分(Fen)法(Fa)partial differential equation (PDE) 偏(Pian)微(Wei)分(Fen)方(Fang)程(Cheng)partial fraction decomposition 部(Bu)分(Fen)分(Fen)式(Shi)分(Fen)解(Jie)partial sum sequence 部(Bu)分(Fen)和(He)数(Shu)列(Lie)particular solution 特(Te)解(Jie)pencil of planes 平(Ping)面(Mian)束(Shu)period of a function 函(Han)数(Shu)的(De)周(Zhou)期(Qi)periodic function 周(Zhou)期(Qi)函(Han)数(Shu)permutation 排(Pai)列(Lie)perpendicular to 垂(Chui)直(Zhi)于(Yu)plane 平(Ping)面(Mian)plane region 平(Ping)面(Mian)图(Tu)形(Xing)plane rectangular coordinate system 平(Ping)面(Mian)直(Zhi)角(Jiao)坐(Zuo)标(Biao)系(Xi)plane analytic geometry 平(Ping)面(Mian)解(Jie)析(Xi)几(Ji)何(He)point 点(Dian)common point 公(Gong)共(Gong)点(Dian)，交(Jiao)点(Dian)point-normal equation of a plane 平(Ping)面(Mian)的(De)点(Dian)法(Fa)式(Shi)方(Fang)程(Cheng)polar coordinate system 极(Ji)坐(Zuo)标(Biao)系(Xi)polygon 多(Duo)边(Bian)形(Xing)polynomial function 多(Duo)项(Xiang)式(Shi)函(Han)数(Shu)position function 位(Wei)置(Zhi)函(Han)数(Shu)power 乘(Cheng)幂(Mi)power function 幂(Mi)函(Han)数(Shu)power series 幂(Mi)级(Ji)数(Shu)probability 概(Gai)率(Lv)probability density function 概(Gai)率(Lv)密(Mi)度(Du)函(Han)数(Shu)probability generating function 概(Gai)率(Lv)母(Mu)函(Han)数(Shu)probability mass function 概(Gai)率(Lv)质(Zhi)量(Liang)函(Han)数(Shu)problem, question 问(Wen)题(Ti)product 乘(Cheng)积(Ji)projection 投(Tou)影(Ying)proof, prove 证(Zheng)明(Ming)properties 性(Xing)质(Zhi)proportional to 正(Zheng)比(Bi)于(Yu)inversely proportional to 反(Fan)比(Bi)与(Yu)proposition 命(Ming)题(Ti)pyramid 棱(Leng)锥(Zhui)Qquadratic 二(Er)次(Ci)的(De)，二(Er)次(Ci)quadrature 积(Ji)分(Fen)过(Guo)程(Cheng)，正(Zheng)交(Jiao)的(De)quadric surfaces 二(Er)次(Ci)曲(Qu)面(Mian)quality 质(Zhi)量(Liang)quantity 数(Shu)量(Liang)quotient 商(Shang)Rradian 弧(Hu)度(Du)radius 半(Ban)径(Jing)random variable 随(Sui)机(Ji)变(Bian)量(Liang)rank of a matrix 矩(Ju)阵(Zhen)的(De)秩(Zhi)range 值(Zhi)域(Yu)the rate of change of y with respect to x y 关(Guan)于(Yu)x 的(De)变(Bian)化(Hua)率(Lv)rational function 有(You)理(Li)函(Han)数(Shu)rational number 有(You)理(Li)数(Shu)ratio test 比(Bi)值(Zhi)判(Pan)别(Bie)法(Fa)real number 实(Shi)数(Shu)rectangle 矩(Ju)形(Xing)regression 回(Hui)归(Gui)linear regression 线(Xian)性(Xing)回(Hui)归(Gui)related rate of change 相(Xiang)关(Guan)变(Bian)化(Hua)率(Lv)right circular cylinder 圆(Yuan)柱(Zhu)面(Mian)right-hand coordinate system 右(You)手(Shou)坐(Zuo)标(Biao)系(Xi)root-extract 开(Kai)根(Gen)root of an equation 方(Fang)程(Cheng)的(De)根(Gen)root test 根(Gen)值(Zhi)判(Pan)别(Bie)法(Fa)rose of three loops 三(San)叶(Ye)玫(Mei)瑰(Gui)线(Xian)row 行(Xing)elementary row transformation (operation) 初(Chu)等(Deng)行(Xing)变(Bian)换(Huan)Ssaddle 马(Ma)鞍(An)面(Mian)sample 样(Yang)本(Ben)scalar 数(Shu)量(Liang)，标(Biao)量(Liang)secant 正(Zheng)割(Ge)secant line 割(Ge)线(Xian)second-order homogeneous linear equation with constant coefficient二(Er)阶(Jie)常(Chang)系(Xi)数(Shu)齐(Qi)次(Ci)微(Wei)分(Fen)方(Fang)程(Cheng)second-order nonhomogeneous linear equation with constant coefficient 二(Er)阶(Jie)常(Chang)系(Xi)数(Shu)非(Fei)齐(Qi)次(Ci)微(Wei)分(Fen)方(Fang)程(Cheng)sequence 数(Shu)列(Lie)series 级(Ji)数(Shu)infinite series 无(Wu)穷(Qiong)级(Ji)数(Shu)Taylor series (expansion) 泰(Tai)勒(Le)公(Gong)式(Shi)set 集(Ji)合(He)show 证(Zheng)明(Ming)single variable function 一(Yi)元(Yuan)函(Han)数(Shu)slope 斜(Xie)率(Lv)space 空(Kong)间(Jian)vector space 向(Xiang)量(Liang)空(Kong)间(Jian)linear space 线(Xian)性(Xing)空(Kong)间(Jian)space analytic geometry 空(Kong)间(Jian)解(Jie)析(Xi)几(Ji)何(He)2D(Dimension) space 二(Er)维(Wei)空(Kong)间(Jian)space rectangular coordinate system 空(Kong)间(Jian)直(Zhi)角(Jiao)坐(Zuo)标(Biao)系(Xi)squeeze rule 夹(Jia)逼(Bi)准(Zhun)则(Ze)solid 立(Li)体(Ti)solid of revolution 旋(Xuan)转(Zhuan)体(Ti)solution, solve 解(Jie)speed 速(Su)率(Lv)span 生(Sheng)成(Cheng)，张(Zhang)成(Cheng)sphere 球(Qiu)面(Mian)standard deviation (std) 标(Biao)准(Zhun)差(Cha)state 叙(Xu)述(Shu)stationary point 驻(Zhu)点(Dian)stochastic 随(Sui)机(Ji)的(De)stochastic differential equation (SDE) 随(Sui)机(Ji)微(Wei)分(Fen)方(Fang)程(Cheng)straight line 直(Zhi)线(Xian)subset 子(Zi)集(Ji)subspace 子(Zi)空(Kong)间(Jian)substitute, substitution 代(Dai)入(Ru)，置(Zhi)换(Huan)integration by substitute 换(Huan)元(Yuan)积(Ji)分(Fen)法(Fa)sufficient condition 充(Chong)分(Fen)条(Tiao)件(Jian)sum, summation 和(He)，求(Qiu)和(He)sum of a series 级(Ji)数(Shu)的(De)和(He)suppose, supposition 假(Jia)设(She)surface integral 曲(Qu)面(Mian)积(Ji)分(Fen)symbol 符(Fu)号(Hao)symmetry, symmetric 对(Dui)称(Cheng)symmetric equations of a line 直(Zhi)线(Xian)的(De)对(Dui)称(Cheng)式(Shi)方(Fang)程(Cheng)system of equations 方(Fang)程(Cheng)组(Zu)system of linear equations 线(Xian)性(Xing)方(Fang)程(Cheng)组(Zu)Ttangent 正(Zheng)切(Qie)tangent line 切(Qie)线(Xian)tangent plane 切(Qie)面(Mian)theorem 定(Ding)理(Li)transformation 变(Bian)换(Huan)translation 平(Ping)移(Yi)trajectory 轨(Gui)迹(Ji)trapezoid 梯(Ti)形(Xing)triangle 三(San)角(Jiao)形(Xing)trigonometric function 三(San)角(Jiao)函(Han)数(Shu)hyperbolic trigonometric function 双(Shuang)曲(Qu)三(San)角(Jiao)函(Han)数(Shu)triple integral 三(San)重(Zhong)积(Ji)分(Fen)total differential 全(Quan)微(Wei)分(Fen)total increment 全(Quan)增(Zeng)量(Liang)Uunbiased 无(Wu)偏(Pian)的(De)union 全(Quan)集(Ji)unit vector 单(Dan)位(Wei)向(Xiang)量(Liang)unknown 未(Wei)知(Zhi)数(Shu)upper limit 积(Ji)分(Fen)上(Shang)限(Xian)Vvalue 值(Zhi)variable 变(Bian)量(Liang)，可(Ke)变(Bian)的(De)variance 方(Fang)差(Cha)vector 向(Xiang)量(Liang)n-dimensional vector N 维(Wei)向(Xiang)量(Liang)velocity 速(Su)度(Du)verify 证(Zheng)明(Ming)vertex 顶(Ding)点(Dian) (复(Fu)数(Shu)vertices)vertical 验(Yan)证(Zheng)vertical asymptote 铅(Qian)直(Zhi)渐(Jian)近(Jin)线(Xian)volume of a solid 立(Li)体(Ti)体(Ti)积(Ji)the volume of a solid of revolution 旋(Xuan)转(Zhuan)体(Ti)的(De)体(Ti)积(Ji)Wthe work done by a force 某(Mou)力(Li)所(Suo)做(Zuo)的(De)功(Gong)Zzero 零(Ling)zeros of a polynomial 多(Duo)项(Xiang)式(Shi)的(De)零(Ling)点(Dian)Mathematical Sentence Patterns1. If …… , (then) …… (若(Ruo)设(She)……，则(Ze)有(You)……)2. Let …… , then …… . Therefore …… , so …… (令(Ling)……，则(Ze)…… ；于(Yu)是(Shi)……，因(Yin)此(Ci)……)3. By …… , we have …… (根(Gen)据(Ju)……，可(Ke)得(De)……)4. Prove (that) …… (证(Zheng)明(Ming)……)5. Compute that …… (计(Ji)算(Suan)……)6. Given …… , find …… (设(She)……，证(Zheng)明(Ming)……)7. Solve the equation for y in terms of x (将(Jiang)方(Fang)程(Cheng)中(Zhong)的(De)y 关(Guan)于(Yu)x 解(Jie)出(Chu)来(Lai))8. Since …… , (we have, it follows that) …… (因(Yin)为(Wei)……，所(Suo)以(Yi)可(Ke)推(Tui)得(De)……)9. Assume (suppose) that …… , then ……. Hence, …… (假(Jia)设(She)……，则(Ze)有(You)……；因(Yin)此(Ci)…… )10. By hypothesis …… , hence ……, and therefore …… (根(Gen)据(Ju)题(Ti)设(She)……，可(Ke)得(De)……，因(Yin)此(Ci)……)11. The above results imply that …… (根(Gen)据(Ju)上(Shang)述(Shu)结(Jie)果(Guo)可(Ke)得(De)……)12. When …… , …… becomes …… (当(Dang)……时(Shi)，……变(Bian)为(Wei)……)13. Similarly ……(相(Xiang)似(Si)的(De)/ 同(Tong)理(Li)可(Ke)得(De)……)14. In general …… (一(Yi)般(Ban)的(De)……)15. Specially …… (特(Te)别(Bie)的(De)……)16. Without loss of generality, we assume that …… (不(Bu)失(Shi)一(Yi)般(Ban)性(Xing)，可(Ke)设(She)……)17. Substitute a for x in (*), we obtain…… (在(Zai)(*)中(Zhong)用(Yong)a 代(Dai)替(Ti)x ，可(Ke)得(De)……)本(Ben)文(Wen)转(Zhuan)载(Zai)自(Zi)微(Wei)信(Xin)公(Gong)众(Zhong)号(Hao)“数(Shu)学(Xue)与(Yu)人(Ren)工(Gong)智(Zhi)能(Neng)”
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