The Back Room

[The_Mather1]

The last reciprocal was that of 36.

[Retech]

Okay. Keep in mind it's the sum, and that there are an infinite number of numbers. :thumbup:

 

Basically all the numbers with only 2s and 3s as factors.

 

 

Why do Brits call it "maths"?

[The_Mather1]

Only 3 and 2 or 3&/2 but never 5, 7, 11, 13...

[Nexaduro]

Because they're too awesome to be confined to singular nouns?

[Icuownage]

Cause why the hell not?

 

Is it 42? Cause if everything is 42.... Then it has to be 42.

 

Why do you American's call autumn "Fall" AUTUMN IS COOLER.

[The_Mather1]

In Norwegian autumn is høst, probable from å høste (to harvest).

[Nexaduro]

I believe I know the question answered by 42.

 

How many licks does it take to get to the tootsie roll center of a tootsie pop?

[The_Mather1]

Damn my tired eyes, I read "How many licks does it take to reach the center of a Blastoise."

[Nexaduro]

[The_Mather1]

You fixed it.

[Nexaduro]

Correct, but I changed mine. It is now $))5 more awesome!

[The_Mather1]

Anyways it takes 150-2000 licks depending on your tongue.

[Jehosaphat]

Anyways it takes 150-2000 licks depending on your tongue.

150? What is your tongue, sandpaper?

 

And Techy, I believe it is:

(1/(2*2^n))+(1/(2*3^n))+(1/(2*3^n))+(1/(3*3^n)) where n is any defined integer.

If you want it written in sigma notation, it'd take me a bit. Because I'd have to do it in MS Paint.

 

Edit: Looked at it further with a bit of stuff I learned in pre-calc, and...

sigma infinite(1/(2*2^n))=1

sigma infinite(1/(2*3^n))=1/4

sigma infinite(1/(3*2^n))=1/3

sigma infinite(1/(3*3^n))=1/2

So that's... 25/12.

[Ieyfura]

I remember Calculus...well, I remember having it as a class lol. I have the bad habit of forgetting pretty much all the advanced math I learn about a year after. (I don't practice, so I forget after a while)

 

And it's been YEARS since I've had calculus...so I can't even recall something as simple as the quadratic formula. :(

[Nexaduro]

Hey Iey!

 

How's the Elizabet cosplay going?

[Jehosaphat]

Iey:

X equals negative b plus or minus the square root of b squared minus 4 a c, all over two a.

 

Now sing it to the tune of "Pop Goes the Weasel," and you can drive everyone you know insane with it.

[Earth]

Math be not my strong suit, so i'm no help here. I'll try and start up Overlording 2 tommorow, but it's been hectic for a first week of school.

[Retech]

Stork gets a cookie...for effort!

 

 

 

The answer is actually 2. I'll write up an explanation tomorrow. :)

[Jehosaphat]

Eh, off by 1/12. Probably because I calculated the infinite limits wrong or some crap like that.

[jasignhagj]

Need moar activity!

 

What's everyone's steam name? Im building a computer next week, so I can finally games newer than 2003.

 

Edit - I accidentally the whole thing again...

[Ieyfura]

lol. "Pop goes the weasel" was how our teacher helped the strugglers.

I miss math. (It was my best subject) Had 6 math credits and was in calculus...then I moved to a [developmentally delayed]ed school who thought pre-algebra was college worthy. I /facepalmed.

 

Gotta love relearning things I learned 5-6 years prior. Yeah I think it was 6. Was in pre-alg my 6th year IIRC.

 

As for the cosplay, won't be done in time for this All Hallow's Eve. :(

[Nexaduro]

D'aaw, sad face.

 

I'm sure you'll get it done eventually, and it will probably be great. :thumbup:

 

Erm, and don't starve yourself buying the materials. :thumbdown:

[Retech]

Okay, here's the solution. The sum of all the reciprocals can be represented by a simple multiplication.

 

(1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32...) x (1 + 1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729...)

 

 

This is because every reciprocal we are using has a certain number of 2s and a certain number of 3s. It is easy to see that as infinite series, we can choose any number of 2s from the first column and any number of 3s from the second column.

 

Through summing of infinite series, we have the following

 

2 x 3/2

 

3

 

However, there was a slight glitch in our expression. If we multiply the reciprocal of 1 and the reciprocal of 1, the result is not divisible by 2 or 3. The answer is merely 1. That means we must subtract one from our total to get the correct answer, which is 2.

 

 

Another way would be to sum the individual infinite series. First we have (1/2 + 1/4 + 1/8...) which sums to 1. Then we do it for a few more.

 

(1/3 + 1/9 + 1/27 + 1/81...) = 1/2

(1/6 + 1/12 + 1/24 + 1/48...) = 1/3

(...) = 1/4

(...) = 1/5

 

This continues on, but I don't remember the infinite series I used. Anyhow, the infinite series forms another infinite series! We end up with...

 

(1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32...)

 

Which sums to 2! Yay, wasn't that fun?!?!

[The_Mather1]

My thoughts; "What the hell are those calculations? They make sense but where the hell do they come from and what are their practical applications?"

[Retech]

The problem itself or the summing of infinite series? If it's the latter, practical applications would probaly be in engineering and architecture, where they would use mathematics to model/design eyepleasing structures.

 

If that fails, then it makes people better at math, which is always a good thing.