/sci/ - Science & Math

Gravitoelectromagnetism.

Analog equations between Gravity & EM are interesting, proposed fields and possible uses are fun SCIENCE!

Also cosmological constant.

/sci/, what is interesting you academically at the moment? any subject, theory or rule-set that's wowing you?

What do you want to better in the scientific community?

Frank Yang.

>>3066464
>>3066505
I don't care, it's fucking awesome!

Bitches don't know about the Holographic Universe theory:
>http://en.wikipedia.org/wiki/Holographic_principle

>>3059649
>through the wormhole with morgan freeman.
I loved that.

Grahams number, it ends in 7.

Also the largest set would be Aleph-1.

>>3053513
>>3053505
Just wrote a C++ program to do it:
>static double Converter::Sequence(int x)
>{
> double setupNum = 0.0;
> double n, nn;
> if(x%2 == 0)//If even
> {
> nn = ceil( (x/2.0) );
> n = (1.0/2.0) * (nn + sqrt( pow(nn,2.0)+ 4.0 ));
> }
> else//odd
> n = ceil( (x/2.0) );
> return n;
>}
Feels good, thanks for the pure maths help.

>>3053480
that doesn't make sense, i don't make sense, ignore me i'm thinking outloud via my fingers.

Ok so turns out i wasn't thinking straight, with the beautiful equation that: >>3053422 guy gave me, it skips the silver ratio because what i essentially want is two sets merged:
integers{1,2,3,4,5, ...}
Equidistributed Sequence{golden ratio, silver ratio, ...}
>http://mathworld.wolfram.com/SilverRatio.html

Also everything must be linear so GR cant come before 1..

>>3053370
Well Then.

>>3053240
>http://www.wolframalpha.com/input/?i=%28%28-1^%28n%2B1%29%2B1%29%2F2%29+*+%28n%2Bsqrt%28n^2+%2B4
%29%2F2+%2B1-n%29+%2Bn-1

Have i input this in wrong? it seems to just be doing f(x) as x-1..

>>3053240
well you're pretty fucking epic, now i'm sure i'll sound stupid here but
>How did you know that?
Is that a rule you know or are you just shithot with numbers?

>>3053148
>I'm not a mathematician, I'm not sure.
Same, haha. yeah just doing it for fun, i liked the idea of it because if i could double it then i could make a binary base with it where every other number would be base 2 and the ones inbetween would be irrational ratios of rectangles:
>1 = 1
>10 = golden ratio
>100 = 2
>1000 = silver ratio
>(1000 - 1)^100 = 2

That might not make sense it's all fresh in my head atm..

>>3053085
I'm playing with this one idea, i want to get:
>{1, golden raito, 2, silver ratio, 3, ...}

So far the neatest f(x) i has is:
>IF( x is odd )
>f(x) = 1/2 ( n + sqrt( n^2 + 4 ) )
>IF( x is even )
>f(x) = x - 1

But you can't really have a logic gate in an equation, all i have is an algorithm... =[

>>3053058
The f(x) for that set would be sqrt(2)^x

>sqrt(2)^1 = 1.41421356
>sqrt(2)^2 = 2
>sqrt(2)^3 = 2.82842712
>sqrt(2)^4 = 4
I think it's a really cool set cus it's like a duo-binary set, rational and irrational binary..

>{1.41421356..., 2, 2.82842712..., 4}

Anyone see what's going on here?

Equidistributed Sequencing?
>In mathematics, a bounded sequence {s1, s2, s3, …} of real numbers is said to be equidistributed, or uniformly distributed, if the proportion of terms falling in a subinterval is proportional to the length of that interval.

>http://en.wikipedia.org/wiki/Equidistributed_sequence
>http://mathworld.wolfram.com/EquidistributedSequence.html

Number Theory is hella-fun!

Are you an emotional quant?

>>3039821
...

...

wat?

>>3039792
No, i kinda knew that.. just wanted to express my anger.

Paper math is a lot more relaxing..

Ever used GMP? it's pretty fantastic!

How the fuck do you deal with transcendental numbers in C++?

There's one in one of my equations and shit gunna get fucked up cus it'll stop at like 9 decimal places =/

>not putting your opinion in the fridge

>>3039398
Jesus Christ, no.