This could be awesome for paintball

As shown in this video, a Turing machine is a device that manipulates symbols contained on a strip of tape (in this case 1 and 0). Despite its simplicity, a Turing machine can used to simulate any computer algorithm, and it is particularly useful in explaining (bit by bit) the functions of a CPU inside of a computer. It is a concept described by Alan Turing in 1937, and it's still used today in schools/universities as a teaching tool.

In my opinion it's kind of hard to say if it's fake or not. The video quality of this elevator cam is what it is. But you can see at 0:43 that she grabs his arm, and if she has some martial arts training, or some self-defense classes, she could have easily taken him down by twisting and/or applying pressure on his hand/arm. I know the angle of the camera is bad and one can't really seem but I'm just saying it might be possible.

Fake or not, this video is very funny. I expected her to kick and punch him in sensitive areas and run as soon as the doors opened again. But the GUY tries to run and she pulls him back for some more ass kicking.
Maybe she is the daughter of Chuck Norris.

The demonstration for 1=2 is more a trick, a "faulty" demonstration. It goes like this:
Let a=b .
We multiply by a and we have a^2=a*b .
Then we add a^2 and we have a^2+a^2=a^2+a*b .
Now we subtract 2*a*b and we have 2*a^2-2*a*b=a^2+a*b-2*a*b .
Which can be written as 2*(a^2-a*b)=a^2-a*b .
Now we divide by (a^2-a*b) and we have 2=1 .

The problem is that a^2-a*b is 0 in this example, so 1*0=2*0.
Note that a^2 means a squared.