/sci/ - Science & Math

>>4715444

DEAR RETARDS:

All numbers in base 10 can be expressed be a + 10b + 100c + 1000d + ...

This is the same as 9b + 99c + 999d + ... a + b + c + d + ...

Obviously the first part of that is divisible by 9, so we just check the sum of the digits. If those are divisible by 9, then so is the whole number. Will this work for B-1 in base B? Let's see.

In any arbitrary base, a number is a + Bb + (B^2)c + (B^3)d + ... = (B-1)b + (B^2 - 1)c + ... + a + b + c + d + ...

If the sum of the digits is divisible by B -1, then so is the whole number. So yes OP, it works in any base.

As for 3 in base 10, we apply the same technique as for 9, but check if the sum of the digits is divisible by 3.
In any base, it will work for numbers which are a factor of B-1. In base 10, only 3 is a factor of 9 so that's why the trick works.

>>1944387
Or you could pastebin a list of read-worthy stories and links to them? Keep a local copy and if the original goes down, pastebin your copy and update the link.

It would be easier to maintain.

Future Guy, some questions:

1) When do (did?) the first bionic eyes become available? I mean eyes with functions like zooming, infrared/ultraviolet wavelengths, AR integration (see question 3), etc.

2) Related to the first question, how long until I can get any kind of artificial replacement limbs and even an entire body that can be simply replaced if it breaks?

3) What about exocortices? When to expect them?

4) Regarding to the recent Stuxnet virus craze, do really "intelligent" AI computer viruses exist in your time? That is, computer viruses that actually possess some level of true intelligence. I think they'd be quite nasty ones to get rid of.

Racism thread.

Get in here racists!

Has anyone come up with the ultimate scientific proof of nigger inferiority yet?

>>1184459
Oh yea right prove it's PROFITABLE first /sci/entists.