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14

9

That was a lie.

I never took Algebra.

AM or PM?

Don`t get me wrong, I`m not poking fun, I love this.

IAB is a complex community, with many undercurrents and subcultures...

We got them all. Very cool clock. I would pay money for this...

2 is just summation notation for the infinite geometric sum of 1/2

"Here:

1. Legendre`s Constant

2. ???

3. Unicode HTML

4. Modular arithmetic

5. Golden Mean

6. Factorial 3

7. 6.99999...

8. Binary (1x2^3 + 0x2^2 + 0x2^1 + 0x2^0)

9. Base-4 (like Binary is Base 2 and Hex is Base 16, this is Base 4 numbering)

10. Binomial Coefficient

11. Hexadecimal

12. Cube root=inverse of 12^3

No idea on number 2."

Do you know what .99... means? It means that the 9 is repeating infinitely. You can`t say .99... *10= 9.90; that`s completely ignoring what the proof is telling you.

Anyways, I can`t believe you don`t believe that .99... is not 1. You can`t look at it differently; that`s the beauty of math: it`s straight-up true or not.

Wiki

If you are still arguing this, try taking a basic calculus course and then come talk.

And an easier way to get it wouldn`t be 120/6*2

Just do 5*4/2*1 (since you can cancel the 3*2*1)

3!=3*2*1=6

6!=6*5*so on and so forth.

X=0.99...

10X=9.99...

10X-X=9

9X=9

X=1=0.99..."

problem with this is that .99 x 10 is 9.90, not 9.99

I don`t really think that proof is valid. You need to show why 10X-X=9. The person who doesn`t understand that .999... = 1 won`t really understand that the decimal portion of 10X equals the decimal portion of X.

X=0.99...

10X=9.99...

10X-X=9

9X=9

X=1=0.99...

I scroll down to the comments and everyone`s doing maths.

Why do the maths when you know the answer? (and don`t know how to do the maths)

.999999....=3/3=1/3+1/3+1/3=1

10(.99...)=10/9=9.99...

(10-1)(.99...)=9/9=9.99...-.99...=9

9(.99...)=9

therefore .99...=1

Or if you do not believe that we can use physical evidence with Xeno`s paradox with an infinite series which approaches 1 slower then .9 repeating (ie if it converges so must .99...; before one travels 1 foot they must first travel .5 feet then .25 feet and so on; if this never adds to one then then all movement is impossible. The B is legrende`s constant which is based on a series using the prime counting function, 11 and 9 are just different bases and 10 is not a matrix function but 5 choose 2.

(why so many bases? so far it`s been 2 hex, one binary and one 4 ...) Also, I always write them backwards because I like 0,1,2,...,n instead of n,...,3,2,1,0

10. (5 2) = 5!/(3!2!) = 120/(6*2) = 10

11. Base 16, where A = 10, B=11, ... and the UNIX prefix 0x is used:

0x0B = 0B(Hex) = 11*(16^0) + 0*(16^1) = 11

12. 12*12*12 = 1728, so it`s cubic root is 12.

It would`ve been more fun to write 1729 + i^2, if only because 1729 is a much more interesting and convoluted number.

6.999... < 7 < 7.0000...

because there`s no concept of sequence for infinities, same as with 2., this is also an exact result.

(See Galileo`s paradox to see why you can`t make sequences with infinities, if you count every number in an infinite sequence, and you count the number of squares in the same sequence you find that they both have the same number of elements, which is wrong because every square is in the same sequence. 1,2,3, ... inf, is gonna have inf numbers. but 1, 4, 9, ... is also going to have inf numbers, but the second sequence "should" be smaller since every number of it is contained in the first one.)

8. Binary, from right to left: 0*(2^0) + 0*(2^1) + 0*(2^2) + 1*(2^3) = 8

9. Base 4: 1*(4^0) + 2*(4^2) = 9

(why so many bases? so far it`s been 2 hex,

1. Legendre`s constant (historical since B = 1). I would`ve used something more fun for 1 like -e^{i Pi}, but oh well

2. Imagine the result of that sum is "S", so:

S = 1 + 1/2 + 1/4 + ...

2S = 2 + 1 + 1/2 + 1/4 + ...

Now, 2S - S = S = 2

It`s not approximate, since the sum is infinite, this is an exact result.

3. Unicode HTML in hex for numbers, except I have no idea where the i comes from, 3 can be easily represented as 3

4. Using the definition of inverse modulo, bb^{-1} = 1 mod 7

1 mod 7 = 1,

It`s the numerator in 1/7.

So let`s find the number that has the same numerator when divided by seven and multiplied by (2^{-1})^{-1} = 2

8/7 = 1 + 1/7, so bb^{-1} = 8, and since b^{-1} = 2, that makes b = 4. In this notation, b^{-1} is NOT 1/b.

5. The golden ratio is (1 + sqrt(5))/2 = f, so 2f - 1 = sqrt(5) and its square is 5

6. 3! = 1*2*3 = 6

Or the 6.[nine with a line over]. That one`s easy too, and I ain`t finished Highschool yet! ...Or our equivalent, that is.

Actually, look closely enough and you`ll see that 11/9 IS a bunch of 11 repeatings. Only each one occupies 2 decimal places. 1.1, 0.11, 0.011, 0.0011... Add them all up and you get 1.22repeating. But anyway, you`re missing the point. This is just a simplified explanation. If you`re interested in the more lengthy ones, you could probably just look up the proof on the internet. I know its in my notes somewhere here but i`m much too lazy to look for it now haha.

> i can tell you what every number it means is: 1, 2, 3, 4...

DAMN but you`re good at that math thingy!

[quote]If I hadn`t already given the Comment of the Day Award for today, you`d have just go it I think[/quote]

1, 2, 3, 4...

http://en.wikipedia.org/wiki/Factorial

3! means you multiply that number by the numbers before it going down to 1. Example:

3x2x1 = 6

Here is an example: 1/3 = .3333...

so 3/3 = .9999...but also 1

It`s the same.

"I only understand 3".

Do you mean 3! which is 6, or do you mean the actual 3?

No, you`re wrong. 6.999... = 7.

[quote] 6 repetend 9 does not equal 7. EVER. [/quote]

You just had to include that hearty "EVER" at the end didn`t you? I suppose if you didn`t there might just be times when it does equal 7, as if the terms somehow felt the need to be equal.

I read the joke as a contrast between everyday practicality and abstract maths.

The bartender`s action addresses the issue in a fast and effective way - the second pint will be enough to meet the orders of the mathematicians because between them they will never quite drink the whole pint.

> 6 repetend 9 does not equal 7. EVER.

Correct - I agree that for a "math geek clock" that is MATHEMETICALLY correct. However, since other number systems are present here, such as the human system called "time", if it was .0000000000001 seconds before 7 o`clock and someone asked you the time, you`d round it and say "7 o clock". Obviously, we`d all be a lot happier if they had used `approximately equal to` on the clock, but you`re right, a recurring decimal never actually equals the integer.

6.999_ = 6 + 0.999_

0.999_ = 0.9+0.09+0.009+...

a=0.9 r=1/10

With infinite terms:

0.9/(1-1/10)=0.9/0.9 = 1

So 6.999_ does equal 7

Still, believe what you want and call others idiots for disagreeing. Commence insults.

LOOK IT UP.

So x=11 11/9 Does not equal 0.11repeating.

There are various ways to prove it, but here`s a simpler way too look at it. 1/9 is 0.1repeating. x/9 is 0.xrepeating. So what is 9/9? 0.9repeating which equals 1.

You can`t call trashcan an idiot because his way of thinking is supported by many (if not most) mathematicians. I just choose to look at it differently.

No it doesn`t. It means that you are infinitely coming closer to 2 by an infinitely smaller number.

for science or math "geeks", they`re not very bright.

Lionhart: 2 is the infinite sum 1+1/2 + 1/4 + 1/8... = 2

3 is formatted for an ASCII 3 in hex,

11 is "B" in hex.

The joke is:

An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The fourth, one-eighth of a beer. The fifth, one-sixteenth of a beer. The sixth...

The bartender says "You`re all idiots", and pours two beers.

> Can someone explain 3 and 11?

Here:

1. Legendre`s Constant

2. ???

3. Unicode HTML

4. Modular arithmetic

5. Golden Mean

6. Factorial 3

7. 6.99999...

8. Binary (1x2^3 + 0x2^2 + 0x2^1 + 0x2^0)

9. Base-4 (like Binary is Base 2 and Hex is Base 16, this is Base 4 numbering)

10. Binomial Coefficient

11. Hexadecimal

12. Cube root=inverse of 12^3

No idea on number 2.

11 is being being expressed in hexadecimal, so that`s just a change of base.

I don`t even recognise the symbols used in 3.

I took 21 hours of math, and I haven`t a clue on 3. 11 is just A hexadecimal number. 0x is the prefix that says what follows is a hexadecimal number, and 0B is 11 (08, 09, 0A, 0B, 0C, 0D, 0E, 0F, 10, 11...)

Math fail!

*Why is that three so excited?*

sarcasm offline

This clock just tells me I need to learn more mathematics.

Looked at comments. Everyone got 3 factorial.

v.v

I know what the means ;-;

8`s not so wicked either.

But I approve.

Yeah true. But then thats when we start moving poo.

I.e. making Pi to be 3 hours, 14 minutes, 15 seconds, etc. rather than 3pm.

Thanks for clearing that up... )-|

- For everyone else, just expect to be late to everything...