If there is a tank of length, width, height of 40x10x30 respectively, and there are 8L of water in the tank. Then put a prism of base area 80cm square, height 60cm.The base of the prism touch the bottom of the tank. Will the water overflowing？？？
the capacity of the tank: 40x10x30=12000ml=12L, the volume of prism: 80x60x1/3=1600ml=1.6L the capacity of the tank > the volume of prism+8L the water won’t overflowing
Short answer: I don’t think there’s a clear definition on that.
In fact, directed number is not a very rigorous mathematical definition. It’s just a fancy term to emphasize a number can be positive or negative. In that sense, arguing whether 0 is a directed number may not be very meaningful. After all, +0 = -0 = 0.
未來有冇機會教M1M2
Excuse me, may I ask why 0!=1? Thank you.
Excuse me, may I ask why 0!=1?
If there is a tank of length, width, height of 40x10x30 respectively, and there are 8L of water in the tank. Then put a prism of base area 80cm square, height 60cm.The base of the prism touch the bottom of the tank.
Will the water overflowing？？？
the capacity of the tank: 40x10x30=12000ml=12L,
the volume of prism: 80x60x1/3=1600ml=1.6L
the capacity of the tank > the volume of prism+8L
the water won’t overflowing
Why (-2)^0.1 =1.01931714 + 0.331196214 i ?
Is π digits random? (which means each digit appears very close to 10% of the time or not)
好有趣嘅問題，之前都冇諗過。上網見到呢篇 blog 寫得唔錯，結論係：未有 mathematical proof 證明到係 uniformly distributed (i.e. 10% chance of appearance)，但 empirical evidence 似乎話畀我哋知真係 10% chance。
https://blogs.sas.com/content/iml/2015/03/12/digits-of-pi.html
how do i rationalise the denominator
Haha 你竟然知道呢度可以用 LaTeX。返返你嘅問題：
New identity web
Haha a little surprise to the old IDENTITY users. Which one do you like better 🙂 ?
The new one of course!
Is 0 a directed number?
Short answer: I don’t think there’s a clear definition on that.
In fact, directed number is not a very rigorous mathematical definition. It’s just a fancy term to emphasize a number can be positive or negative. In that sense, arguing whether 0 is a directed number may not be very meaningful. After all, +0 = -0 = 0.
x(x-2)+A(x-1)≡x^2+B find the value of A and B
I don’t know how to do this question
is it a =2 b=-2
Sorry for the late reply.
You’re right. A = 2 and B = -2. Well done!
LHS=x(x-2)+A(x-1)
=x^(2)-2x+Ax-A
=x^(2)+(-2+A)x-A
RHS=x^(2)+B
-2+A=0
A=2
-2=B
Anyone could explain the Mandelbrot Set?
That’s beyond our knowledge. Hopefully some mathematicians will pass by and explain a bit~