文章目录
1 calculus
n ! n! n!
- n factorial
2 algebra
addition
1 + 1 = 2 1+1=2 1+1=2
- 1 plus 1 equals 2
- 2 is the sum
- (the sum of ) 1 and 1 is 2
subtraction
10 − 5 = 5 10-5=5 10−5=5
- 10 minus 5 equals 5
- 5 is the difference
- take 5 away from 10, you are left with 5
- take 5 away from 10, you get 5
- 10 subtract/deduct 5 gives you 5
multiplication
5 ∗ 5 = 25 5*5=25 5∗5=25
- 5 times 5 equals 25
- 25 is the product
- 5 multiplied by 5 is 25
division
9 / 3 = 3 9/3=3 9/3=3
- 9 divided by 3 equals 3
- 3 is the quotient
- 3 goes into 9 3 times
10 / 4 = 2 10/4=2 10/4=2 remainder 2
- 10 divided by 4 equals 2 remainder 2 (2 R 2)
fraction
3 4 \frac{3}{4} 43
- 3 is numerator
- 4 is denominator
5 12 \frac{5}{12} 125
- five twelfths
5 6 \frac{5}{6} 65
- five sixths
decimal
0.5 0.5 0.5
- zero point five
0.33 0.33 0.33
- zero point three three
0.5 0.5 0.5 seconds
- point 5 seconds
0.1 0.1 0.1 seconds
- a tenth of a second
exponent
x 2 x^2 x2
- x is base
- 2 is power
- x squared
x 3 x^3 x3
- x cubed
x 4 x^4 x4
- x to the fourth power
- x to the power of 4
3 2 = 9 3^2=9 32=9
- 3 squared equals 9
x − N x^{-N} x−N
- x to the minus N
9 = 3 \sqrt{9}=3 9=3
- the square root of 9 is 3
others
average and mean
- 都有平均的含义,但是average更多用在生活中,而mean更多用在数学中,显得更专业。
median
- 中位数,the middle number within a list
y ⩾ x y\geqslant x y⩾x
- y is larger/ greater than x or equal to x
y ⩽ x y\leqslant x y⩽x
- y is smaller/ less than x or equal to x
≈ \approx ≈
- approximately
≠ \neq ̸=
- not equal
3 geometry
rectangle and square
- length and width
- perimeter: 周长
a r e a = 20 m 2 area=20m^2 area=20m2
- area = 20 meter squared
box
- volume = 30 meter cubed
- height/ deepth 高
circle and sphere
- circumference 周长
- radius 半径
- diameter 直径
- sphere 球体
triangle
type
- isosceles 等腰三角形
- equilateral 等边三角形
- right triangle 直角三角形
- hypotenuse 直角三角形的斜边
angle
- right angle 直角
- acute angle 锐角
- obtuse angle 钝角
- reflex angle 反角
- perpendicular 正交和垂直
A line is standing perpendicular to B line - diagonal 对角线
坐标轴
- x axis and y axis
- 2 axes
- parallel
others
- oval 椭圆
- cone 圆锥
- pyramid 金字塔 四棱锥
- prism 棱柱