Recent content by Mentallic

For more complicated decimals, to "integeralize" it, you just need to convert it into a fraction and multiply by the denominator. 1.73853467=\frac{173853467}{100000000} and hence 1.73853467\times 100000000=173853467

To get a value of X that will be valid for all streams, you'll first need to multiply the value of 'a' in each stream by a sufficient integer such that the result is an integer if 'a' happens to not be an integer itself. Once you've done that for all streams, then multiply all the resulting...

Think of which triangles tessellate the most evenly.

So you're asking to calculate the inverse gamma function, since the gamma function and the factorial are closely related. i.e. you want to solve for n in n!=10^{10^{100}} I can give you a quick start on the approximate magnitude of n. Since a crude approximation is n!\approx n^n, then choosing...

Yes.

Thanks, I'll look more into integer bin packing. At the moment, my problem is going to have a value of n in the hundreds so O(2n) is just too unreasonable, but I'm confident there exists a more efficient algorithm that provides an approximate solution. Well, if you sort the items and place the...

I have a problem whereby I'm given an item list of size n with the value of each item being greater than zero, and need to sort them among a restricted amount of bins as evenly as possible. Additionally, each bin can hold at most k items and the number of bins is slightly greater than n/k...

You're welcome!

Notice that 604,800 is divisible by 100, which means that 10 must be one of the numbers in the factors that multiply to give ^nP_7. This is because we only have one prime factor of 5 which can couple with a prime factor of 2 in various ways, such as from 4 or 6 or 8, and that would give a factor...

It needs to be converted into cubic inches first if you want the radius in inches.

Alright, I'll take your word for it. There are infinitely many ways to link two points on a graph. Most of them will not even be close to representing an accurate or even an approximate model of the real life situation though. Well I was hoping that you'd check it yourself to see that my model...

By hard work do you mean you just took the world record values for each of those races? How have you decided from two figures alone that it's a log relationship? Why not a linear relationship? A hyperbolic relationship? Any of the other infinite possibilities? If you believe it must follow a...

Numberphile has actually made a video on this

Being excited in maths is not weird in itself, but claiming you're weird because of it is.

It depends on how much accuracy you want. You can just google search "sine table" and you'll find plenty of tables that offer each degree from 0 to 90, but assuming you want more accuracy since you're given angles that involves minutes and seconds too, in the case of \alpha personally, I'd be...