《数学专业英语》常用英文表达 PPT
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数学专业英语词汇代数部分1. 有关数*算add,plus 加?subtract 减?difference 差??multiply, times 乘?product 积?divide 除?divisible 可被整除的?divided evenly被整除? dividend 被除数,红利?divisor 因子,除数?quotient 商?remainder余数??factorial 阶乘?power 乘方?radical sign, root sign 根号? round to四舍五入?to the nearest 四舍五入2. 有关集合union 并集?proper subset 真子集?solution set 解集??3.有关代数式、方程和不等式algebraic term 代数项?like terms, similar terms同类项? numerical coefficient 数字系数? literal coefficient 字母系数?? inequality 不等式?triangle inequality 三角不等式?? range 值域??original equation 原方程? equivalent equation 同解方程,等价方程?linear equation 线性方程(e.g. 5?x?+6=22)?4.有关分数和小数proper fraction真分数?improper fraction 假分数?mixed number 带分数?vulgar fraction,common fraction 普通分数?simple fraction简分数?complex fraction繁分数?? numerator 分子?denominator 分母?(least) common denominator(最小)公分母?quarter 四分之一?decimal fraction 纯小数?infinite decimal 无穷小数recurring decimal循环小数?tenths unit 十分位??5. 基本数学概念arithmetic mean 算术平均值? weighted average 加权平均值? geometric mean 几何平均数? exponent 指数,幂?base 乘幂的底数,底边?cube 立方数,立方体?square root平方根?cube root 立方根??common logarithm 常用对数?digit 数字?constant 常数?variable 变量??inverse function反函数? complementary function 余函数? linear 一次的,线性的? factorization 因式分解?absolute value绝对值,e.g.|-32|=32?round off四舍五入 ?6.有关数论natural number 自然数?positive number 正数?negative number 负数?odd integer, odd number 奇数?even integer, even number 偶数? integer, whole number 整数?positive whole number 正整数? negative whole number 负整数?? consecutive number 连续整数?real number, rational number 实数,有理数?irrational(number)无理数??inverse 倒数?composite number 合数 e.g. 4,6,8,9,10,12,14,15……?prime number 质数 e.g. 2,3,5,7,11,13,15……注意:所有的质数(2除外)都是奇数,但奇数不一定是质数 reciprocal 倒数??common divisor 公约数?multiple 倍数?(least)common multiple (最小)公倍数?? (prime) factor (质)因子?common factor 公因子??ordinary scale, decimal scale 十进制? nonnegative 非负的??tens 十位? units 个位??mode众数?median 中数??common ratio 公比??7.数列arithmetic progression(sequence) 等差数列?geometric progression(sequence) 等比数列??approximate 近似?(anti)clockwise (逆) 顺时针方向? cardinal 基数?ordinal 序数?direct proportion 正比?distinct 不同的?estimation 估计,近似? parentheses 括号?proportion 比例?permutation 排列?combination 组合?table 表格?trigonometric function 三角函数? unit 单位,位?几何部分1. 所有的角alternate angle 内错角? corresponding angle 同位角? vertical angle对顶角?central angle圆心角?interior angle 内角?exterior angle 外角? supplementary angles补角? complementary angle余角? adjacent angle 邻角?acute angle 锐角?obtuse angle 钝角?right angle 直角?round angle周角?straight angle 平角? included angle夹角??2.所有的三角形equilateral triangle 等边三角形? scalene triangle不等边三角形? isosceles triangle等腰三角形? right triangle 直角三角形? oblique 斜三角形?inscribed triangle 内接三角形??3.有关收敛的平面图形,除三角形外semicircle 半圆?concentric circles 同心圆? quadrilateral四边形?pentagon 五边形?hexagon 六边形?heptagon 七边形?octagon 八边形?nonagon 九边形?decagon 十边形?polygon多边形?parallelogram 平行四边形? equilateral 等边形?plane 平面?square 正方形,平方?rectangle 长方形?regular polygon 正多边形? rhombus 菱形?trapezoid梯形??4.其它平面图形arc 弧?line, straight line 直线?line segment 线段?parallel lines 平行线?segment of a circle 弧形??5.有关立体图形cube 立方体,立方数?rectangular solid 长方体?regular solid/regular polyhedron 正多面体? circular cylinder 圆柱体? cone圆锥?sphere 球体?solid 立体的??6.有关图形上的附属物altitude 高?depth 深度?side 边长?circumference, perimeter 周长? radian弧度?surface area 表面积?volume 体积?arm 直角三角形的股?cross section 横截面?center of a circle 圆心?chord 弦?radius 半径?angle bisector 角平分线? diagonal 对角线?diameter 直径?edge 棱?face of a solid 立体的面? hypotenuse 斜边?included side夹边?leg三角形的直角边?median of a triangle 三角形的中线? base 底边,底数(e.g. 2的5次方,2就是底数)?opposite直角三角形中的对边? midpoint 中点?endpoint 端点?vertex (复数形式vertices)顶点? tangent 切线的?transversal截线?intercept 截距??7.有关坐标coordinate system 坐标系? rectangular coordinate 直角坐标系? origin 原点?abscissa横坐标?ordinate纵坐标?number line 数轴? quadrant 象限?slope斜率?complex plane 复平面??8.其它plane geometry 平面几何? trigonometry 三角学?bisect 平分?circumscribe 外切?inscribe 内切?intersect相交?perpendicular 垂直? pythagorean theorem勾股定理? congruent 全等的?multilateral 多边的?1.单位类cent 美分?penny 一美分硬币 ?nickel 5美分硬币?dime 一角硬币?dozen 打(12个)?score 廿(20个)?Centigrade 摄氏?Fahrenheit 华氏?quart 夸脱?gallon 加仑(1 gallon = 4 quart)? yard 码?meter 米?micron 微米?inch 英寸?foot 英尺?minute 分(角度的度量单位,60分=1度)? square measure 平方单位制?cubic meter 立方米?pint 品脱(干量或液量的单位)??2.有关文字叙述题,主要是有关商业intercalary year(leap year) 闰年(366天)?common year 平年(365天)? depreciation 折旧?down payment 直接付款?discount 打折?margin 利润?profit 利润?interest 利息?simple interest 单利? compounded interest 复利? dividend 红利?decrease to 减少到?decrease by 减少了?increase to 增加到?increase by 增加了?denote 表示?list price 标价?markup 涨价?per capita 每人?ratio 比率?retail price 零售价?tie 打Chapter onefunction notation方程符号函数符号quadratic functions 二次函数quadratic equations 二次方程式二次等式chapter twoEquivalent algebraic expressions 等价代数表达式rational expression 有理式有理表达式horizontal and vertical translation of functions 函数的水平和垂直的平移reflections of functions 函数的倒映映射chapter threeExponential functions 指数函数exponential decay 指数式衰减exponent 指数properties of exponential functions 指数函数的特性chapter fourTrigonometry 三角学Reciprocal trigonometric ratios 倒数三角函数比Trigonometric functions 三角函数Discrete functions 离散函数数学mathematics, maths(BrE), math(AmE)公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设 hypothesis, hypotheses(pl.)命题 proposition算术 arithmetic加 plus(prep.), add(v.), addition(n.) 被加数 augend, summand加数 addend和 sum减minus(prep.), subtract(v.), subtraction(n.)被减数 minuend减数 subtrahend差 remainder乘times(prep.), multiply(v.), multiplication(n.)被乘数 multiplicand, faciend乘数 multiplicator积 product除divided by(prep.), divide(v.), division(n.)被除数 dividend除数 divisor商 quotient等于equals, is equal to, is equivalent to大于 is greater than小于 is lesser than大于等于 is equal or greater than 小于等于 is equal or lesser than运算符 operator数字 digit数 number自然数 natural number整数 integer小数 decimal小数点 decimal point分数 fraction分子 numerator分母 denominator比 ratio 正 positive负 negative零 null, zero, nought, nil十进制 decimal system二进制 binary system十六进制 hexadecimal system权 weight, significance进位 carry截尾 truncation四舍五入 round下舍入 round down上舍入 round up有效数字 significant digit无效数字 insignificant digit代数 algebra公式 formula, formulae(pl.)单项式 monomial多项式 polynomial, multinomial系数 coefficient未知数 unknown, x-factor, y-factor, z-factor等式,方程式 equation一次方程 simple equation二次方程 quadratic equation三次方程 cubic equation四次方程 quartic equation不等式 inequation阶乘 factorial对数 logarithm指数,幂 exponent乘方 power二次方,平方 square三次方,立方 cube四次方 the power of four, the fourth powern次方 the power of n, the nth power 开方 evolution, extraction二次方根,平方根 square root三次方根,立方根 cube root四次方根 the root of four, the fourth rootn次方根 the root of n, the nth root 集合 aggregate元素 element空集 void子集 subset 交集 intersection并集 union补集 complement映射 mapping函数 function定义域 domain, field of definition 值域 range常量 constant变量 variable单调性 monotonicity奇偶性 parity周期性 periodicity图象 image数列,级数 series微积分 calculus微分 differential导数 derivative极限 limit无穷大 infinite(a.) infinity(n.) 无穷小 infinitesimal积分 integral定积分 definite integral不定积分 indefinite integral有理数 rational number 无理数 irrational number 实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant几何 geometry点 point线 line面 plane体 solid线段 segment射线 radial平行 parallel相交 intersect角 angle角度 degree弧度 radian锐角 acute angle直角 right angle钝角 obtuse angle平角 straight angle 周角 perigon底 base边 side高 height三角形 triangle锐角三角形 acute triangle直角三角形 right triangle直角边 leg斜边 hypotenuse勾股定理 Pythagorean theorem钝角三角形 obtuse triangle不等边三角形 scalene triangle等腰三角形 isosceles triangle等边三角形 equilateral triangle四边形 quadrilateral平行四边形 parallelogram矩形 rectangle长 length宽 width菱形rhomb, rhombus, rhombi(pl.), diamond正方形 square梯形 trapezoid直角梯形 right trapezoid等腰梯形 isosceles trapezoid 五边形 pentagon六边形 hexagon七边形 heptagon八边形 octagon九边形 enneagon十边形 decagon十一边形 hendecagon十二边形 dodecagon多边形 polygon正多边形 equilateral polygon 圆 circle圆心 centre(BrE), center(AmE) 半径 radius直径 diameter圆周率 pi弧 arc半圆 semicircle扇形 sector环 ring椭圆 ellipse圆周 circumference 周长 perimeter面积 area轨迹 locus, loca(pl.)相似 similar全等 congruent四面体 tetrahedron五面体 pentahedron六面体 hexahedron平行六面体 parallelepiped 立方体 cube七面体 heptahedron八面体 octahedron九面体 enneahedron十面体 decahedron十一面体 hendecahedron十二面体 dodecahedron二十面体 icosahedron多面体 polyhedron棱锥 pyramid棱柱 prism棱台 frustum of a prism 旋转 rotation轴 axis圆锥 cone圆柱 cylinder圆台 frustum of a cone球 sphere半球 hemisphere底面 undersurface表面积 surface area体积 volume空间 space坐标系 coordinates坐标轴 x-axis, y-axis, z-axis 横坐标 x-coordinate纵坐标 y-coordinate原点 origin双曲线 hyperbola抛物线 parabola三角 trigonometry正弦 sine余弦 cosine正切 tangent余切 cotangent正割 secant余割 cosecant 反正弦 arc sine反余弦 arc cosine反正切 arc tangent反余切 arc cotangent反正割 arc secant反余割 arc cosecant相位 phase周期 period振幅 amplitude内心 incentre(BrE), incenter(AmE) 外心 excentre(BrE), excenter(AmE) 旁心 escentre(BrE), escenter(AmE) 垂心orthocentre(BrE), orthocenter(AmE)重心barycentre(BrE), barycenter(AmE)内切圆 inscribed circle外切圆 circumcircle统计 statistics平均数 average加权平均数 weighted average方差 variance标准差root-mean-square deviation,standard deviation比例 propotion百分比 percent百分点 percentage百分位数 percentile排列 permutation组合 combination概率,或然率 probability分布 distribution正态分布 normal distribution非正态分布 abnormal distribution 图表 graph条形统计图 bar graph柱形统计图 histogram折线统计图 broken line graph曲线统计图 curve diagram扇形统计图 pie diagram希望以上资料对你有所帮助,附励志名言3条::1、世事忙忙如水流,休将名利挂心头。
数学英语知识点总结pptArithmeticArithmetic is the most basic and fundamental branch of mathematics. It deals with the operations of numbers, including addition, subtraction, multiplication, and division. In this section, we will review the basic operations of arithmetic, as well as the properties of numbers, such as commutativity, associativity, and distributivity. We will also cover topics such as fractions, decimals, percentages, and ratios, and demonstrate how these concepts are used in everyday life, such as in budgeting, cooking, and shopping.AlgebraAlgebra is a branch of mathematics that uses symbols and letters to represent numbers and quantities. In this section, we will explore the basic principles of algebra, including equations, inequalities, and functions. We will also discuss the various techniques for solving algebraic problems, such as factoring, completing the square, and using the quadratic formula. Additionally, we will demonstrate how algebra is used in various fields, such as science, engineering, and economics, through practical examples and applications.GeometryGeometry is the study of shapes, sizes, and spatial relationships. In this section, we will cover the fundamental concepts of geometry, including points, lines, angles, and polygons. We will also discuss the properties of geometric figures, such as congruence, similarity, and symmetry, as well as the principles of measurement, such as area, perimeter, volume, and surface area. Furthermore, we will explore the applications of geometry in architecture, design, and art, and highlight its importance in everyday life.TrigonometryTrigonometry is a branch of mathematics that deals with the relationships between angles and sides in right-angled triangles. In this section, we will review the basic trigonometric functions, such as sine, cosine, and tangent, as well as their inverses. We will also discuss the applications of trigonometry in various fields, such as navigation, astronomy, and engineering. Additionally, we will demonstrate how trigonometric principles are used to solve problems involving angles and distances.CalculusCalculus is a branch of mathematics that deals with the study of change and motion. In this section, we will explore the basic concepts of calculus, including derivatives, integrals, and limits. We will also discuss the applications of calculus in physics, engineering, and economics, and demonstrate how it is used to solve real-world problems, such as finding the maximum and minimum values of functions, determining rates of change, and calculating areas and volumes.StatisticsStatistics is the branch of mathematics that deals with the collection, analysis, interpretation, and presentation of data. In this section, we will cover the basic principles of statistics, including data types, measures of central tendency, measures of dispersion, and probability. We will also discuss various statistical methods, such as hypothesis testing, regression analysis, and correlation, and demonstrate their applications in fields such as business, healthcare, and social sciences.In conclusion, mathematics is a diverse and essential field of study that plays a crucial role in many aspects of our lives. This PowerPoint presentation aims to provide a comprehensive overview of various mathematical knowledge points in the English language, from basic arithmetic to advanced calculus and statistics. By understanding these concepts and their applications, we can gain a deeper appreciation for the beauty and utility of mathematics in the world around us. Thank you for your attention, and we hope you find this presentation informative and inspiring.。
专业英语1/2 :a half 或one half1/4:a quarter(fourth)或one quarter(fourth) 1/1234:one over a thousand two hundred and thirty-four4/5:four fifths 或four over five113/300:one hundred and thirteen over three Hundred872:two and seven over eight 或two andseven eighths20o :wenty degrees 6’ :six minutes; six feet 10” :ten seconds; ten inches 2% :two percent 5‰:five per millea +b a plus b; (positive)a -b a minus b; (negative) a±b a plus or minus b a×b a multiplied by b; (times) a÷b a divided by b;a:b the ratio of a to ba=b a is equal to b; a equals to b a ≠b a is not equal to b; a is not b a >b a is greater than ba <b a is less than ba ≣b a is greater than or equal to b a ≢b a is less than or equal to ba ≡b a is identically equal to b; a is of identity to ba ba is approximately equal to bsquare root of an th root of aa the absolute value of aalgebra 代数学 geometrical 几何的algebraic 代数的 identity 恒等式arithmetic 算术, 算术的 measure 测量,测度axiom 公理numerical 数值的, 数字的conception 概念,观点 operation 运算 constant 常数 postulate 公设logical deduction 逻辑推理 proposition 命题division 除,除法 subtraction 减,减法 formula 公式term 项,术语trigonometry 三角学 variable 变化的,变量angle 角 cube 立方体arc 弧 curved line 曲线major arc 优弧 cylinder 柱体minor arc 劣弧 diameter 直径architect 建筑师 dimention 维数,大小breadth 宽度 endpoint 端点chord 弦 equidistant 等距离的circumference 周长 line segment 直线段cone 圆锥 radius 半径critical 临界的 pyramid 棱锥 ray 射线 sphere 球,球面semicircle 半圆 surface 面,曲面solid 立体的,立体 thickness 厚度brace 大括号 roster 名册consequence 结论,推论roster notation 枚举法designate 标记,指定rule out 排除,否决diagram 图形,图解subset 子集distinct 互不相同的the underlying set 基础集distinguish 区别,辨别universal set 全集divisible 可被除尽的validity 有效性dummy 哑的,哑变量visual 可视的even integer 偶数visualize 可视化irrelevant 无关紧要的void set(empty set) 空集conversely 反之geometric interpretation 几何意义correspond 对应induction 归纳法deducible 可推导的proof by induction 归纳证明difference 差inductive set 归纳集distinguished 著名的inequality 不等式entirely complete 完整的integer 整数Euclid 欧几里得interchangeably 可互相交换的Euclidean 欧式的intuitive直观的the field axiom 域公理irrational 无理的irrational number 无理数rational 有理的the order axiom 序公理rational number 有理数ordered 有序的reasoning 推理product 积scale 尺度,刻度quotient 商sum 和abscissa 横坐标horizontal 水平的analytic geometry 解析几何hypotenuse 斜边arbitrary 任意的integral 整数的,积分的,积分Cartesian 笛卡儿的intersect 相交Rene Descartes 笛卡儿intertwine 融合,结合circular 圆的,圆周的leg 侧边,直角边coordinate 坐标ordinate 纵坐标the origin 坐标原点segment 线段parabolic 抛物线的three-dimensional 三维的perpendicular 垂直的triangle 三角形polygonal 多边形的the unit distance 单位长度quadrant 象限vector 向量, 矢量reduce 归结,化简vertical 竖直的课后答案2-1(1)数学来源于人类的社会实践,包括工农业的劳动,商业、军事和科学技术研究等活动。