# Math turns brains to mush.

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#### Dawes

Est. Contributor
I woke up just to post this, and I don't really expect any response. I just want you to see this weird shit.

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12,321
1,111 x 1,111 = 1,234,321
11,111 x 11,111 = 123,454,321
111,111 x 111,111 = 12,345,654,321
1,111,111 x 1,111,111 = 1,234,567,654,321
11,111,111 x 111,11,111 = 123,456,787,654,321
111,111,111 x 111,111,111 = 12,345,678,987,654,321

My brain is officially dead. Notice how the highest single number in each product also equals exactly the amount of 1s in each part of the problem. Notice how the single numbers go up by one and then back down after hitting the apex number.

What. The. Hell.

I'm sure this has been done before, but I don't care. It's fried my skull into nothing. I don't think I can ever be right again.

That is all.

#### EmeraldsAndLime

##### Banned
Sure, when you look at it, it makes perfect sense.

When you do the arithmetic via basic multiplication methods (of numbers greater than 10), you can easily see why it works like this.

#### BabyMullet

Est. Contributor
Haha,

That's cool. Although the coolest thing I've seen was a proof that took apart a sphere with a diameter of 1 meter, and then reassembled it to a sphere with a diameter of 2 meter.

I didn't get it either.

#### Kraiden

Est. Contributor
*Twitches as his brain shuts down*

#### Charlie

Est. Contributor
See, aren't numbers beautiful?

#### chevre

Est. Contributor
It's not hard to see if you look at it right.

1111*1111 = 1111*(1000 + 100 + 10 + 1) =

Code:
``````1111000
111100
11110
+  1111
--------
1234321``````

You basically just slide the number across and add it again, so the result isn't very surprising . It is kind of a neat pattern, though.

[EDIT]
Now I will blow your mind by saying that 1111 * 2222 = 2468642. It counts by twos ;-).

*yawns*

1 + 1 = 10

that is all...

#### Martin

Est. Contributor
Darkfin: there are only 10 kinds of people in this world.

#### Darkfinn

##### Banned
Those who understand binary... and those that don't LOL.

#### Squigma

Est. Contributor
Hmm... this thread reminds me of something I saw once about the number 142857... watch this:

1 × 142857 = 142857
2 × 142857 = 285714
3 × 142857 = 428571
4 × 142857 = 571428
5 × 142857 = 714285
6 × 142857 = 857142

See the pattern? Each time it's the same digits, in the same order, just rotated round. It's what's called a cyclic number.

And the coolness doesn't stop there:

7 × 142857 = 999999

One digit off one million! And then the pattern continues:

142857 x 8 = 1142856
142857 x 9 = 1285713
142857 x 10 = 1428570
142857 x 11 = 1571427

Don't see it? Add the first number to the last number. For example, with 1142856, 1 + 6 = 7, and stick that on the end to get 142857! And then it carries on like this, until you get to another multiple of 7:

142857 x 14 = 1999998

2 off 2 million!

There's so much more I could say about it: I've got loads of webpages open and I'm learning more and more about it. But I've gone on for long enough now, so if you wanna find more about this awesome number, stick it into google some time!

One last cool thing:

142 + 857 = 999

#### Martin

Est. Contributor
Darkfin: Exactly.
I want a the T-shirt with that on it.

*has some other "fun" math he'll keep to himself (as there is no way of typing that out in plain text and I'm too lazy to go hunt for the pic I made with a equation editor)* And it isn't as pretty anyhow. (standard deviation)

F

#### FullMetal

##### Guest
Ohhhhh, so this is what you guys do for sex

....now I get it.

FullMetal -Is kidding around of course-

Est. Contributor

#### Jon

Est. Contributor I lol'd. It felt like the right place to post this...

#### BluTack

Est. Contributor
OMG... Are you guys the next Carol Vorderman? #### chevre

Est. Contributor
Darkfin: Exactly.
there is no way of typing that out in plain text

http://www.mathbin.net/ Also, if we were allowed to post javascript you could use jsmath

Anyway, standard deviation is no match for the ugliest beast I've yet to see: Navier-Stokes. If you doubt me, check it on wikipedia .

#### Darkfinn

##### Banned
eh... I had enough problems with multi-variable differential equations... I'm glad to be done with math...

#### chevre

Est. Contributor
Well, that's pretty much what Navier-Stokes is, except they're systems of nonlinear PDEs . But yeah, math rocks.

#### recovery

Est. Contributor Well impressed, My Maths teacher said what do you think this does. With a little thinking I said turns out to be the Value of e? And i guess right XD. But with a little thinking it converges to some assim-tope(sp). And since the first two values are one each, and after that they get smaller and smaller.

Anyway, I found out why Sin^2(x) + Cos^2(x) = 1. We were just told it and never rerally explained why it worked. When boring time i though I'd find out why... Using identities didn't seem to work, but got there in the end.

Being independent with your maths skills is the best How about binomial expansion anyone? do you know how computers work out funny powers. Or how to square root? #### Raccoon

Est. Contributor
Now since junior high or before we know that pi 3.14159 etc. is a fundamental (transcendental) constant... And in college we come across e, which is also fundamental and important; and we meet -1^[1/2] = i, which is fundamental to the idea of complex numbers. That said...

Facts, Trivia & FunWhat do e, i and pi have in common?

To begin the discussion, as we probably all know,

e is the base of the natural logarithm
i is the number which when squared gives -1
pi is the number that is the ratio of the circumference to the diameter of a circle.

What do they have in common? Not really much, but when we put them together, they make -1, as in the following equation:

e^(i pi) = -1

It is a surprising result, because the left-hand side is a complex number involving the imaginary component, and the right-hand side is a pure real number.
Back to mathematics, how is this possible that so many favourite numbers are linked together by this single simple equation? The answer is really quite simple if you read on.

If you have learned about Taylor’s expansions, you will know that the three following mathematical functions can be represented by an infinite series, meaning that if you take enough terms to the point that the remaining terms are small enough, you get the answer to the function.

e^x = 1 + x + x^2/2! + x^3/3! + x^4/4! + ...
Sin x = x - x^3/3! + x^5/5! - x^7/7! + ....
Cos x = 1 - x^2/2! + x^4/4! - x^5/5! + ...

In the exponential equation, let’s put x=i pi, then it reduces to:

e^(i pi) = 1 + i pi + (i pi)^2/2! + (i pi)^3/3! + (i pi)^4/4! + (i pi)^5/5! + ...

By regrouping terms, substituting i^2=-1, i^4=1, and factoring out i, we obtain:
e^(i pi)= 1 - (pi)^2/2! + (pi)^4/4! -... _+i ( pi - (pi)^3/3! + (pi)^5/5! - ...)
= cos (pi) + i sin(pi)
= -1 + i . 0
=-1

And I shall just add that Cantor (with help from some others) proved that some infinities are "bigger" than other infinities. I was deeply suspicious of this at first and it took some years before I was able to understand why his claim is so. Eg. There are more irrational numbers (like sqrt 5) than there are integers, while there are as many integers as fractions. (Even though there are infinitely many fractions between any two integers.) And transcendental numbers outnumber irrarionals.

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