Using "&times" word in html changes to × Asked 12 years, 11 months ago Modified 2 years, 2 months ago Viewed 246k times

Someone recently asked me why a negative $\\times$ a negative is positive, and why a negative $\\times$ a positive is negative, etc. I went ahead and gave them a proof by contradiction like this: As...

Since $\times$ is the official symbol for multiplying integers, this notation is in principle ambiguous: $2\times3=6$ would seem to imply $\Bbb R^ {2\times 3}=\Bbb R^6$, but the latter is not a space of matrices.

What is the notation for the set of all $m\\times n$ matrices?

How many times can I compress a file before it becomes corrupt? If the program you use to compress the file does its job, the file will never corrupt (of course I am thinking to lossless compression).

So cut $S^1 \times S^1$ twice, first at $\ {a \} \times S^1$ to get $ [a,b] \times S^1$ and cut it again. Now glue it together backwards and you get your definition of the torus.

6 If I flip a coin 10 times in a row, obviously the probability of rolling heads ten times in a row is $\left (\frac {1} {2}\right)^ {10}$. However, I am not sure how to calculate the exact odds that I will have at some point rolled heads 10 times in a row during a series of n flips.