Download - Math English V3
Greek Symbols
Α α alpha /'ælfə/
Β β beta /'bi:tə/
Γ γ gamma /'gæmə/
Δ δ delta /'deltə/
Ε ε epsilon /'epsilən/
Ζ δ zeta /'ziːtə/
Η ε eta /'iːtə/
Θ ζ theta /'ζiːtə/
Ι η iota /aɪ'əʊtə/
Κ θ kappa /'kæpə/
Λ ι lamda /'læmdə/
Μ κ mu /'mjuː/
Ν λ nu /'njuː/
Ξ μ xi /'ksaɪ/
Ο ν omicron /'əʊmɪkrən/
Π π pi /'paɪ/
Ρ ξ rho /'rəʊ/
ζ sigma /'sɪgmə/
Σ η tau /'tɑʊ/
Τ υ upsilon /'jʊpsɪlən/
Operations Signs
‘ ’ single quotation marks 单引号
‚ ‛ double quotation marks 双引号
( ) parentheses 圆括号
[ ] square brackets 方括号
{} brace (angle bracket) 大括号
... ellipsis 省略号
+ plus 加号;正号
- minus 减号;负号
± plus or minus 正负号
× is multiplied by 乘号
÷ is divided by 除号
= is equal to 等于号
≠ is not equal to 不等于号
≡ is equivalent to 全等于号
≈ is approximately equal to 约等于号
< is less than 小于号
> is more than 大于号
≤ is less than or equal to 小于或等于号
≥ is more than or equal to 大于或等于号
% per cent 百分之…
‰ per mill 千分之…
≦ infinity 无限大号
∝ varies as 与…成比例
√ square root, radical symbol 平方根
≧ since; because 因为
≨ hence 所以
∷ equals, as (proportion) 等于,成比例
∠ angle 角
⌒ semicircle 半圆
⊙ circle 圆
○ circumference 圆周
π pi 圆周率
△ triangle 三角形
⊥ perpendicular to 垂直于
∪ union of 并,合集
∩ intersection of 交,通集
∫ the integral of …的积分
∑ (sigma) summation of 总和
° degree 度
′ minute 分
〃 second 秒
# number …号
Notation Signs
{ braceleft, open brace, open curly 左花括号
} braceright, close brace, close curly 右花括号
{} brace 花括号
( parenleft, open parenthesis, open paren 左圆括号
) parenright, close parenthesis, close paren 右圆括号
() brakets/ parentheses 圆括号
[ bracketleft, open bracket 左方括号
] bracketright, close bracket 右方括号
[] square brackets 方括号
| bar, vertical bar, vertical virgule 竖线
/ slash, divide, oblique, virgule 斜杠,除号
\ backslash, sometimes escape 反斜杠
// slash-slash, comment 双斜杠
‖ parallel 双线号
& amp; ampersand, and, reference, ref 和
# pound, numbersign 井号
§ section; division 分节号
$ dollar 美元符号
* asterisk, multiply, star, pointer 星号,乘号
. full stop, dot 句号,点
, comma 逗号
: colon 冒号
; semicolon 分号
' apostrophe, prime 撇号
? question mark 问号
! exclam, exclamation 感叹号
- hyphen 连字号
-- dash 破折号
... dots/ ellipsis 省略号
" quote, back quote, single quotation 单引号
"" double quote 双引号
→ arrow 箭头
 ̄ hyphen 连字符
— dash 破折号
_ underscore 下划
~ tilde 波浪符
~ swung dash 代字号
¨ tandem colon 双点号
" ditto 同上
@ at 在
^ caret, wedge 号
= equal 等号
Math Expressions
x + 1 x plus one
x -1 x minus one
x ± 1 x plus or minus one
xy x y; x times y; x multiplied by y
(x — y)(x
+ y) x minus y, x plus y
x/y x over y; x divided by y;
x ÷ y x divided by y
x = 5 x equals 5; x is equal to 5
x ≈ y x is approximately equal to y
x ≡ y x is equivalent to y; x is identical with y
x ≠ y x is not equal to y
x > y x is greater than y
x < y x is less than y
x ≥ y x is greater than or equal to y
x ≤ y x is less than or equal to y
0 < x < 1 zero is less than x is less than 1; x is greater than zero and less
than 1
0 ≤ x ≤ 1 zero is less than or equal to x is less than or equal to 1; x is greater
than or equal to zero and less than or equal to 1
x² x squared
x³ x cubed
x4 x to the fourth; x to the power four
xn x to the n; x to the nth; x to the power n
x-n x to the minus n; x to the power of minus n
√ root x; square root x; the square root of x
∛ the cube root of x
∜ the fourth root of x
the nth root of x
(x + y)² x plus y all squared
(x/y)² x over y all squared
n! n factorial; factorial n
x% x percent
∞ infinity
x ∝ y x varies as y; x is (directly) proportional to y
x ∝ 1/y x varies as one over y; x is indirectly proportional to y
ẋ x dot
ẍ x double dot
f(x) fx f of x; the function of x
f'(x) f dash x; the (first) derivative of with respect to x
f''x f double-dash x; the second derivative of f with respect to x
f'''(x) f triple-dash x; f treble-dash x; the third derivative of f with respect to
x
f(4) f four x; the fourth derivative of f with respect to x
∂v the partial derivative of v
∂v
∂θ delta v by delta theta, the partial derivative of v with respect to θ
∂²v
∂θ²
delta two v by delta theta squared; the second partial derivative of v
with respect to θ
dv the derivative of v
dv
dθ d v by d theta, the derivative of v with respect to theta
d²v
dθ²
d 2 v by d theta squared, the second derivative of v with respect to
theta,
∫ integral
integral from zero to infinity
∑ sum
the sum from i equals 1 to n
w.r.t. with respect to
logey log to the base e of y; log y to the base e; natural log (of) y
∴ therefore
∵ because
→ gives, approaches
Δx → 0 delta x approaches zero
lim Δx→0
the limit as delta x approaches zero, the limit as delta x tends to
zero
Lt Δx→0
the limit as delta x approaches zero, the limit as delta x tends to
zero
m/sec metres per second
x ∈ A x belongs to A; x is a member of A; x is an element of A
x∉ A x does not belong to A; x is not a member of A; x is not an element
of A
A⊂ B A is contained in B; A is a proper subset of B
A ⊆ B A is contained in B; A is a subset of B
A ⋂ B A intersection B
A ⋃ B A union B
cos x cos x; cosine x
sin x sine x
tan x tangent x, tan x
cosec x cosec x
sinh x shine x
cosh x cosh x
tanh x than x
|x| mod x; modulus x
18 ℃ eighteen degrees Centigrade
70 ℉ seventy degrees Fahrenheit
Verbal Expression of Functions and Operations
logax log to the base a of x 对数
the base a logarithm of x
xn the nth power of x; x to the nth power 幂函数
x raised to the power n
f(x) the function of x 函数
A∪B the union of A and B 合集
A∩B the intersection of A and B 交集
a square root of x 平方根
a nth root of x n次方根
ax2+b+c quadratic polynomial
x + y the sum of x and y; y is added to x
x – y the difference between x and y;
y is subtracted from x
xy the product of x and y; x times y
x/y the quotient of x and y; x is divided by y;
the ratio of x to y
x > y x is greater than y; x is more than y
x < y x is smaller than y; x is less than y
x ≥ y x is at least y; x is not less than y
x ≤ y x is at most y; x is not greater than y
Terminology
Set 数集
Subset 子集
Union 合集
Intersection 交集
Real number 实数
Nature number, Counting number 自然数
Whole number 非负整数
Integer 整数
Rational number 有理数
Irrational number 无理数
Fraction, ratio 分数
Denominator 分母
Numerator 分子
Decimal 小数、十进制
Interval 区间
Endpoints 端点
Absolute value 绝对值
Opposite, negative, additive inverse 相反数
Like signs 同正负号
Unlike signs 不同正负号
Reciprocal, multiplicative inverse 倒数
Arithmetic expression 算术表达式
Evaluation 计算
Grouping symbol 运算顺序符号
Innermost group
Algebraic expression 代数表达式(含变量)
Subscript 下标
Commutative property 交换律
Associative property 组合律
Distributive property 分配率
Identity property 同一律
Term 项
Coefficient 系数
Like term 同类项
Combining like terms 合并同类项
Equation 方程,等式
Satisfy 满足
Solution, root 方程的根
Formula, literal equation 多元方程
Variable 变量
Inequality 不等式
Trichotomy 三分法
Compound 复合
Close-up 特写
Dependent variable 因变量
Independent variable 自变量
Function 函数
Domain 域(自变量)
Range 范围(因变量)
Substitution 代入
Elimination 消元
Matrix 矩阵
Augmented matrix 增广矩阵
Determinant 行列式值
Constraint 约束条件
Minor
Scientific notation 科学记数
Polynomial 多项式
Monomial 一元多项式
Binomial 二元多项式
Trinomial 三元多项式
Degree 维
Quadratic polynomial 二次多项式
Prime polynomial 素多项式
Perfect square trinomial 完全平方
Greatest common factor 最大公约数
Factor out 提出公约数
Rational expression 有理式
Rational function 有理函数
Least common denominator 最小公分母
Least common multiple 最小公倍数
Complex fraction 繁分数
Extraneous root 增根
Proportion 比例
Square 平方
Cube 立方
Like redicals 同类根式
Conjugate 共轭
Rationalization 有理化
Complex 复数
Real part 实部
Imaginary part 虚部
Miscellaneous 杂类
Composition 合成
Inverse 反函数
Direct variation 正比
Variation constant 比例系数
Inverse variation 反比
Joint variation
Multiplicity 重(复)数
Sequence 序数
Series 级数
Arithmetic sequence 等差数列
Common difference 公差
Arithmetic series 等差级数
Goemetric sequence 几何数列
Common ratio 公比
Goemetric series 几何级数
Permutation 排列
Factorial 阶乘
Combination 组合
Odd 奇
Even 偶
Illustrate, graph 作图,曲线图
Coordinate 坐标
Unit 单位
Origin 原点
Point 点
Number line 数轴
Cartesian coordinate system 笛卡儿坐标系
Axis 坐标轴
Quadrant 象限
Plotting, graphing 画出(点)
Intercept 交点
Slope, rise, run 斜率,因增量,自增量
Parallel 平行
Perpendicular 垂直
Parabola 抛物线
Open upward 向上展开
Open downward 向下展开
Vertex 顶点
Focus 焦点
Directrix 准线
Reflecting 倒映
Translating 平移
Stretching 拉伸
Shrinking 收缩
Sketch 描图
Asymptote 渐近线
Oblique asymptote 斜渐近线
Circle 圆周
Radius 半径
Diameter 直径
Circumference 周长
Circular 圆
Ellipse 椭圆
Hyperbola 双曲线
Axis of symmetry 对称轴
Triangle 三角形
Right triangle 直角三角形
Trapezoid 梯形
Parallelogram 平行四边形
Rhombus 菱形
Rectangular 长方形
Right circular cone 正圆锥体
Rectangular solid 长方体
Square 正方形
Sphere 球形
Right circular cylinder 直圆柱体
Angle 角
Isosceles triangle 等腰三角形
Similar triangle 相似三角形
Acute angle 锐角
Obtuse angle 钝角
Supplementary 互补
Equilateral triangle 等边三角形
Addition 加法
Sum 和
Summand, augend 被加数
Addend 加数
Subtraction 减法
Difference 差
Minuend 被减数
Subtrahend 减数
Multiplication 乘法
Product 积
Factor 因数
Division 除法
Quotient 商
Dividend 被除数
Divisor 除数
Remainder 余数
Exponential 指数
Base 底数
Exponent 指数、幂
Common base
Nature base
Radical 根式
Radication 开方
nth root n 次方根
Index of the radix 次
Radicand 被开方数
Logarithm 对数
Common logarithm
Nature logarithm
Quadratic 二次方程式
Rounded to N decimal places 精确到小数点后第 N 位数
A solution (root) to the equation 方程的解(根)
Build up the denominator 同一化分母
f(x) is a reflection in the x-axis of the graph of g(x).
f(x) is a translation to the right of the graph of g(x).
y varies directly as the square root of x.
y varies jointly as x and the square of z.
Symmetry about the y-axis
Symmetry about the origin