Technically impossible

[Peegee]

You know how there was a <a href="http://tech.mit.edu/V126/N64/64largenumber.html">competition</a> to write the largest [finite] number? I was wondering if you guys could construct the lowest value number greater than 0.

Kgo!

[doesn't expect responses]

ps: I have an obvious answer but if you hivemind with PG, don't post it.

[Raistlin]

1 - 0.999...

*shoots self*

[Quindiana Jones]

Is it 3?

[Shlup]

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[qwertysaur]

(1/(1000010000100001000010000100001000010000100001000010000          ))1000010000100001000010000100001000010000100001000010000         :p

Edit: Added some more pieces to make it even smaller

[Shlup]

Raisin's isn't a number, it's an expression! Disqualified!

[Madame Adequate]

I'll go with nⁿ

[Peegee]

Raisin's isn't a number, it's an expression! Disqualified!

yes but the expression equates to 0, so it's okay; he's still wrong.

[Shlup]

It only equates to zero if you're lazy.

Tell me my answer is good!

[Raistlin]

Raisin's isn't a number, it's an expression! Disqualified!

That's an irrelevant distinction in math. A more accurate criticism of my answer is that it's just 0. :p

Real answer: Let X equal "1 followed by 900 trillion zeros." Let Y equal X^(X^(X^X)). And then 1/(Y^(Y^Y)).

Whoever actually works that out wins the internet.

EDIT:
It only equates to zero if you're lazy.

Where have you been the last 3 or 4 "1 = 0.999..." threads? :p

[Quindiana Jones]

Shlup you moose. I freaking knew what was behind that door but I clicked it anyway. Now my scroll wheel is on fire. :(

EDIT:
Let X equal "1 followed by 900 trillion zeros." Let Y equal X^(X^(X^X)). And then 1/(Y^(Y^Y))

/10. :smug:

[qwertysaur]

Shlups number has 817675 zeros between the one and the decimal place.
Mine has 3600000000000000000000000000000000000000000000000000000000000000000000000000000000 (36 x 10⁸⁰) zeros between the decimal place and the one.

[Raistlin]

Mine has trillions upon trillions of zeros between the decimal and the one.

Quin's has that + 1. :(

[Quindiana Jones]

My equation is this: Let x be any number greater than zero that has been, is or could ever be thought up by any sentient being anywhere in the universe. Now x/10.

Now I'm gonna sit back and enjoy the sweet amateur pseudo-philosopher vag I'm about to get.

[rubah]

I like qwerty's if only for the notation

1/x as x approaches 0 from the right? (to make it positive)

[qwertysaur]

Raise yours to the power of mine the same amount of times mine has a zero to the power yours has a zero between the decimal point and the one, then raise that power to the result the same amount of times as the number of zeros between the decimal point in that number and the one, repeat this process for all eternity. Then after that multiply all the parts of the series of numbers and then raise that number to the power of itself the same amount of times as number of zeros between the decimal point and the one in that number.

Also I actually gave a number that has no variables.

[Raistlin]

My equation is this: Let x be any number greater than zero that has been, is or could ever be thought up by any sentient being anywhere in the universe. Now x/10.

Considering that that's just a very large number divided by 10, which results in just a slightly smaller very large number... I think you officially lost. :p

[Inferno]

I say there's no way to define it... it's impossible :holmes:

[Quindiana Jones]

Yeah, after typing it I realised it's only not bollocks when you just dickmove it. As with my previous "/10 :smug:" comment. It works if you just wait for someone to say their small number and throw it in after haha. Screw this. If I knew how to do it, I'd make an automated response to every post made in this thread that just says "/10 :smug:" over and over again.

Then I'd get iffy nerd gash as well, for my amazing computer skills.

[Raistlin]

1/x as x approaches 0 from the right? (to make it positive)

As x approaches 0? Wouldn't that be infinity? I assume you mean as X approaches infinity (and then wouldn't that be 0?).

[qwertysaur]

infinitesimals are fun :bigsmile:

[I Took the Red Pill]

(1/(Graham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's Number        ))Graham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's NumberGraham's Number10000Graham's Number         

"Indeed, the observable universe is far too small to contain an ordinary digital representation of Graham's number, assuming that each digit occupies at least one Planck volume."

[Peegee]

Mine has trillions upon trillions of zeros between the decimal and the one.

Quin's has that + 1. :(

What are you talking about? Your answer is 0 unless infinitesimals actually exist as a rational value -

{x | x > x/2}

Which is nonsense imo.

[Madame Adequate]

I'll go with nⁿ

Guys seriously every n there is whatever number you are citing as the answer.

[Quindiana Jones]

/10 :smug:

[Bunny]

Who cares math sucks.

[rubah]

1/x as x approaches 0 from the right? (to make it positive)

As x approaches 0? Wouldn't that be infinity? I assume you mean as X approaches infinity (and then wouldn't that be 0?).

yeah probably! I was just trying to think of something that had an asymptote at 0

Milfy, we've moved on from big numbers! We're going for small numbers, I think

[I Took the Red Pill]

I'll go with nⁿThink you're looking for n^1/n

[Peegee]

I'll go with nⁿThink you're looking for n^1/n

1 ^ 1/1 = 1
2 ^ 1/2 = root 2 = 1.4142135623730950488016887242097
3 ^ 1/3 = 1.4422495650258313877722482943279

.... what?

[qwertysaur]

I'll go with nⁿThink you're looking for n^1/n
Both wrong. It's n^-n

Anyway to make the numbers even smaller. take Red pills submission, but replace each instance of Grahams number and replace it with Grahams number factorial.

[Quindiana Jones]

Then divide by ten, right?

[qwertysaur]

Divide by 101010101010101010101010101010

[Quindiana Jones]

Then divide by ten.

[Peegee]

Then divide by ten.

And then add 10 and subtract 9.999999999999999999...2

[Madame Adequate]

Really I did not know that multiplying two fractions smaller than 1 together now resulted in a larger number I apologize I do not keep up with the Math Picayune :zombert:

[Peegee]

Really I did not know that multiplying two fractions smaller than 1 together now resulted in a larger number I apologize I do not keep up with the Math Picayune :zombert:

Seriously I'm so confused right now. Could you rephrase your premises in the form of a pokemon?

http://archives.bulbagarden.net/media/upload/4/4d/Spr_4d_417_f.png http://archives.bulbagarden.net/media/upload/4/4d/Spr_4d_417_f.png http://archives.bulbagarden.net/media/upload/4/4d/Spr_4d_417_f.png

[I Took the Red Pill]

I'll go with nⁿThink you're looking for n^1/n

1 ^ 1/1 = 1
2 ^ 1/2 = root 2 = 1.4142135623730950488016887242097
3 ^ 1/3 = 1.4422495650258313877722482943279

.... what?



I'll go with nⁿ

Guys seriously every n there is whatever number you are citing as the answer.

I assume (and I guess this could be a wrong assumption) that MILF was saying take any number posted in this thread, and then applying nⁿ to it (I also realize I quoted the wrong post in my last post, I meant to quote MILF's 2nd one). Unfortunately as n -> 0, nⁿ approaches 1. If n is tiny, however, n^1/n is, in fact, nearly 0.


Both wrong. It's n^-nIf you are interpreting MILF's statement the same way I am, no it's not. This also approaches 1, but from the opposite side that nⁿ does.

I probably read it wrong though.

[Madame Adequate]

Wait a minute everyone stop what you are doing!

I am retarded and did not say what I thought I was saying. I thought I was just taking a clever and more-powerful shortcut to what Keith said with the Graham's Number thing because whatever you said would be multiplied by itself (Because I forgot that ⁿ is not necessarily going to work the same way as ² does).

Sorry :( I'll go away and not pretend I have done any math more advanced than a grocery bill in the last eight years again. :cry:

[Shlup]

This thread got stupid. I declare myself the winner and the rest of you can suck my dangle.

[Quindiana Jones]

I'm totally okay with that, Shlup.

[NorthernChaosGod]

This thread got stupid. I declare myself the winner and the rest of you can suck my dangle.

Present it.

[Shoeberto]

As a comp sci, I'll just approximate it as 0.001 and say that's good enough for most general purpose calculations.

[qwertysaur]

This thread got stupid. I declare myself the winner and the rest of you can suck my dangle.
My first post has a number much smaller than yours.

Red pill I assumed n was approaching infinity :p

[Old Manus]

[doesn't expect responses]

[Aerith's Knight]

e^-infinity

[blackmage_nuke]

Σ(dignity in this thread)

edit: Oh wait that's also equal to zero

[Loony BoB]

I was wondering if you guys could construct the lowest value number greater than 0.
No, we can't.

Anyone who is putting something together may be constructing the lowest value number greater than 0 in this thread, but the simple answer to your question is that, from what I understand, we can not construct the lowest value number greater than 0. The closest you could get is to say 0.0...01 or something along those lines. But even then it arguably is equal to zero. There is no such thing as the lowest value number greater than 0.

[Quindiana Jones]

/10 :smug:

[qwertysaur]

Quin. Every time you divide by 10, I will divide by 101010101010101010101010101010. :p

[Quindiana Jones]

Well, now it's turtles all the way down. :(

[Peegee]

I was wondering if you guys could construct the lowest value number greater than 0.
No, we can't.

Anyone who is putting something together may be constructing the lowest value number greater than 0 in this thread, but the simple answer to your question is that, from what I understand, we can not construct the lowest value number greater than 0. The closest you could get is to say 0.0...01 or something along those lines. But even then it arguably is equal to zero. There is no such thing as the lowest value number greater than 0.

>0.000...01

fffuuuuu

Anyway this farce has gone long enough - I declare Yarbles the winner as he said the following over msn:

Yar: take the largest number and divide 1 by it.

Which is, in effect, the smallest number greater than 0! Yay

Spoiler alert: for the largest [finite] number, please refer to OP's link

[Quindiana Jones]

/10 :smug:

[qwertysaur]

divide that by 101010101010101010101010101010!!!!!, 101010101010101010101010101010!!!!! times. Remember that ! means factorial :p

Edit: Here is another one. a_n is defined as the largest number raised to the power of (-n).
Then take the following.
http://upload.wikimedia.org/math/9/9/a/99ae7470923d203d9fa8ab14468c457d.png
The letter pi is similar to Sigma where you add up all the terms in a series, only you have to multiply all the terms, not add them.

[Quindiana Jones]

/10 :doublecolbert:

[qwertysaur]

divide that by 101010101010101010101010101010!!!!!, 101010101010101010101010101010!!!!! times. Take that number and multiply it by the following.

a_n is defined as the largest number raised to the power of (-n).
Then take the following.
http://upload.wikimedia.org/math/9/9/a/99ae7470923d203d9fa8ab14468c457d.png

repeat this action the same amount of times as the result of the above action raised to the ^-1!!!!! (factorials) times. take that number, and have a_n be defined as that number raised to the power of n and take the following.

http://upload.wikimedia.org/math/9/9/a/99ae7470923d203d9fa8ab14468c457d.png

Repeat this procedure using the new numbers from each previous step m times, where m is defined as the amount of cubic plank lengths are in the entire universe!!!!!!!! ( again, factorials).

[Quindiana Jones]

/10 :factorialcolbert:

[Peegee]

Anyway, a larger finite value would be the sum of all real values in the set of real numbers. Divide one by that (then divide it by 10) and you get smaller values. Har har

[qwertysaur]

divide that by 101010101010101010101010101010!!!!!, 101010101010101010101010101010!!!!! times. Take that number and multiply it by the following.

a_n is defined as the largest number raised to the power of (-n).
Then take the following.
http://upload.wikimedia.org/math/9/9/a/99ae7470923d203d9fa8ab14468c457d.png

repeat this action the same amount of times as the result of the above action raised to the ^-1!!!!! (factorials) times. take that number, and have a_n be defined as that number raised to the power of n and take the following.

http://upload.wikimedia.org/math/9/9/a/99ae7470923d203d9fa8ab14468c457d.png

Repeat this procedure using the new numbers from each previous step m times, where m is defined as the amount of cubic plank lengths are in the entire universe!!!!!!!! ( again, factorials).

Repeat this process k!!!!!!!!!!!!!!!!!!! (20 factorials) times where k equals the following

let a_n is defined as the largest numberⁿ
http://upload.wikimedia.org/math/9/9/a/99ae7470923d203d9fa8ab14468c457d.png

The following action shall be named the IQN function. The IQN function can only be used on the number s where s is defined as 0&lt;s<1.

furthermore, if any operation is performed on a number resulting from this number would result in a number smaller number greater than 0, then the IQN function would immediately be performed on that number to result in a number smaller than that the number resulting from the trigger operation. If a number bigger is the result, the IQN function will proceed to ridicule the offender and then perform itself on the number from the previous iteration of the IQN function.
Basically, no matter what you do this function will guarentee a number smaller than any number offered, any attempts to make that number smaller will result in the function repeating itself to counter the challenge and make give a smaller number. Also failed attempts still result in the function generating a smaller number. :zombert:

Edit: PG the sum of all real numbers is 0. You are taking 1 + -1 +2 + -2 ... so all terms cancel out with the corresponding negative term.

[Quindiana Jones]

Your whole post in negated because the date and time of its creation are strikeouted (?), therefore it doesn't exist.

Besides, :factorialcolbert: has spoken.

[Peegee]

Anyway, a larger finite value would be the sum of all real values in the set of real numbers. Divide one by that (then divide it by 10) and you get smaller values. Har har

Actually I wonder if you can do that. I honestly think I did define the largest finite real number earlier - did I? If I did, dividing one by that number would yield the smallest possible value above 0.

[oddler]

You can also define things like love but it's much more difficult to prove their existence. :monster:

[Peegee]

xkcd forums announced that my question is hogwash, and my submission makes no sense, both of which are technically true

1) the sum of an infinite series is a silly concept as there is no answer. Duh - the question itself has no answer, which leads to

2) the question itself has no answer.

^_^

[qwertysaur]

Your whole post in negated because the date and time of its creation are strikeouted (?), therefore it doesn't exist.

Besides, :factorialcolbert: has spoken.
Not on my screen. can you prove this with a screenshot?

[Loony BoB]

So basically I was right? :D

[Peegee]

So basically I was right? :D

You made me fffuu with your 0.000..0001 nonsense, so :mad2::mad2:

[Loony BoB]

So, basically I was right. :aimsun:

[Inferno]

I say there's no way to define it... it's impossible :holmes:

:cool:

[Peegee]

So, basically I was right. :aimsun:

[Raistlin]

Wait, BoB said "0.000....01"?

DANIEL THAT'S NOT A NUMBER I THOUGHT WE COVERED THIS YEARS AGO

[Rodarian]

I'm simply going to toss all of u into a black hole...

:colbert:

[Quindiana Jones]

Ah man. That'll really rin a lot of words, dde. Especially here in the nited Kingdom. What'll the Qeen do?

[Peegee]

Edit: PG the sum of all real numbers is 0. You are taking 1 + -1 +2 + -2 ... so all terms cancel out with the corresponding negative term.

Did you just claim that ∞-∞=0?

[Aerith's Knight]

Mathematicians are to the scientific world as cytologists are to IT design.

It's great you can do that, but nobody cares.

[Tavrobel]

For every time Quin divides something by 10, I will divide something by 0.

[Jessweeee♪]

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[NorthernChaosGod]

For every time Quin divides something by 10, I will divide something by 0.

My God! Do you want to kill us all?!

http://pix.motivatedphotos.com/2008/10/9/633591425533104931-DivisionByZero.jpg

[Meat Puppet]

<!-- Hello muddah, hello faddah
Here I am at Camp Granada
Camp is very entertaining
And they say we'll have some fun if it stops raining.

I went hiking with Joe Spivy
He developed poison ivy
You remember Leonard Skinner
He got ptomaine poisoning last night after dinner.

All the counselors hate the waiters
And the lake has alligators
And the head coach wants no sissies
So he reads to us from something called Ulysses.

How I don't want this should scare ya
But my bunkmate has malaria
You remember Jeffrey Hardy
They're about to organize a searching party.

Take me home, oh muddah, faddah
Take me home, I hate Granada
Don't leave me out in the forest where
I might get eaten by a bear.
Take me home I promise I will not make noise
Or mess the house with other boys.
Oh please don't make me stay
I've been here one whole day.

Dearest faddah, darling muddah,
How's my precious little bruddah
Let me come home, if you miss me
I would even let Aunt Bertha hug and kiss me.

Wait a minute, it's stopped hailing.
Guys are swimming, guys are sailing
Playing baseball, gee that's better
Muddah, faddah kindly disregard this letter. -->

[Loony BoB]

Wait, BoB said "0.000....01"?

DANIEL THAT'S NOT A NUMBER I THOUGHT WE COVERED THIS YEARS AGO
I said that's the closest you could get to representing it, I didn't say it was a rational number. I also pointed out from the start of my post that I said that in that no, we can't construct the lowest possible number (rationally).

[Pop Frank Socket]

Two.

[Jiro]

I'm glad I'm an idiot. Otherwise I'd have time to argue with other intelligent people about something which was in fact impossible.

If you were all idiots like me you would have realised it was impossible from the beginning!

[KentaRawr!]

Jess fails, because even Shlup's is smaller, and she failed once Qwerty posted! :p

[Bunny]

Guess what still sucks?

Math.