Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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Let´s Answer these one at a Time!...

Quote: " Thanks for your concern for my love life. I considered finding a girlfriend, but then decided that if I did it wouldn't be fair to my wife and son. Especially since my wife is pregnant with our second child right now. I've heard that you're not supposed to get a girlfriend once you're married with a couple kids... something about "cheating". "

A.R.B

You have as much chance of having a Wife! as me Winning the Lottery!...

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Quote: " Anthony I have another question for you. What do you think the following infinite sum is equal to? "

A.R.B

What ever they equal! the Fractions! have nothing to do with the Decimal Problem Infinite/Recurring 0.9

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Quote:" Anthony ... stop being rude or I will have to ban you. "

A.R.B

HAHAHAHAHAHAHAHAHAHAHA!!!!!!!!

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Quote: " and doing something far more interesting with their Life!...

So you think maths is uninteresting? "

A.R.B

In no way is it uninteresting? Just certain People make it that Way!...

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Quote:" This is taking a more personal tone because people are getting frustrated. Let's not allow it to degrade into an insult-hurling contest, though! "

A.R.B

No Let´s Not!!...Including Moderators!...

To Maelwys

Quote:" Don't mind Anthony's attempted insult. He's just a little upset right now because the admin's at Wikipedia finally got so fed up with his nonsense arguments and inability to properly respond to counter arguments that they locked him out of the .999... discussion page over there. ;-) "

A.R.B

It´s Sad! that you have been Following me around! like a Lost Dog/Sheep!...going back and fourth from one site to another! just to have a little Poke! because you have not got the fame you want! and your lack of Math Expertise has always let you down!..

Most Guys? which I am assuming you are! would have a Girlfriend by now!! and doing something far more interesting with their Life!...

Now let´s get back to the serous people that come on this site! that are prepared to talk Math! and argue their case! Rather than coming on for five minutes! making ill informed and derogatory remarks! then run away with their tail between their legs! because they have no substance for what they believe in!...

A.R.B

To mathsyperson

Title: Moderator

A.R.B

You Must be so Far up your own R´s! that It´s Infinite!...............................................................................................................

Infinite/Recurring 0.9 = 0.999... " There Are Never Ending .9´s in this Calculation! "

Integer/Whole Number 1 = 1 " There Are No .9´s in this Calculation! "

Now let´s get back to the serous people that come on this site! that are prepared to talk Math! and argue their case! Rather than coming on for five minutes! making ill informed and derogatory remarks! then run away with their tail between their legs! because they have no substance for what they believe in!...

A.R.B

Quote " yeah, but if you destroy the atoms/molecules when cutting the paper, the paper would break down, and it would no longer be paper with a hole in it! It would just be a bunch of subatomic particles.

No longer paper "

A.R.B

Paper! as you know it!.. is not the Paper Known in the Enormous! World of Infinity!...

Quote:" Could you explain that a bit more? "

A.R.B

Infinite/Recurring 0.9 = 0.999... " There Are Never Ending .9´s in this Calculation! "

Integer/Whole Number 1 = 1 " There Are No .9´s in this Calculation! "

Quote:" They! Are! Simple! Grammar!... "

A.R.B

But I´m Sure your Grannmar! is not as Simple as you!...

Quote:" I have! a flawless proof!

mathsy's Proof. by mathsy. 20/10/2007

Assume that 0.999... ≠ 1.

Then, by assumption, 0.999... ≠ 1.

mathsy.

Therefore, we can conclude that 0.999... ≠ 1.

QED "

A.R.B

The Only Problem with your Proof is! there are No .9´s In 1

Quote:" Neither! Do! Exclamation! Marks! "

A.R.B

Dont copy something! you know nothing about!...

Quote:" There are two major things in Life I have learnt;

1) Knowledge is power. Hide it well. "

A.R.B

And you Certainly Hide your´s Well!...

Quote:" Please don't provoke him. He is simply an insignificant, inconsiderate, selfish and thoughtless troll. As Ricky stated, please do not feed him. "

A.R.B

Dont get in to Fights you cant Win! because of your Lack of Subject Matter! Insults dont Help your Case!.........................................

Quote:" I think there is a rule out there somewhere saying that infinites equal to a finite number. i think that's how they solved the Achilles and the Tortoise Paradox "

A.R.B

Better to stick with the Subject matter!...Otherwise we will be going along the Multiple Examples Route! that have little to do with the Original Problem!...a Bit like the Multiple Meaningless Calculations on the Infinite/Recurring 0.9 Original 0.9

Quote: " I think, for any sized paper, the largest hole you can cut (without doing the tricks of turning it into a hole with a larger area than the original) is one with one with an edges thickness of an atom/molecule's diameter. The percentage differs from paper to paper, so I don't know the percentage. "

A.R.B

An atom/molecule's diameter! is Enormous! in the World of Infinity!.............................................................................................

Quote:" Oh, dear me! As I wipe away a small tear from my cheek, "

A.R.B

You Speak out of your R´s As well as your Cheeks!...

To John E. Franklin

Quote:" If you take an algebra-thin line for the frame and make it thicker by any normal constant not near infinity, but closer to zero, then the frame's hole will be the same as the area of the paper since the frame itself has no area.

Zero width of a frame is just a reference to a rectangle that doesn't have any particles in its makeup. Waves? I don't know. It's just an idea of a rectangular frame, not a real paper one. "

A.R.B

I think Mushrooms would have less of an Effect on your Mind!...

To Dross

It´s Good to see the Fools are Still on this site!....

Now let´s get back to the serous people that come on this site! that are prepared to talk Math! and argue their case! Rather than coming on for five minutes! making ill informed and derogatory remarks! then run away with their tail between their legs! because they have no substance for what they believe in!...

A.R.B

Quote:" Whyy so many exclamation marks? "

A.R.B

It´s a Bit like the .9´s ! they Never End!!..." I gave an extra one at the end of End! just for you!! and another!...see what I mean!...

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HOW TO CALCULATE AND UNDERSTAND INFINITE/RECURRING NUMBER/VALUES By Anthony.R.Brown 16/10/07.

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First of all it is important to give and use Variables that are clear and easy to identify for what they stand for,the Variables below should be easy to follow.

N = 0.9 " This is the start Value used for Infinite/Recurring 0.9 there has to be one! it did not come from thin Air!..."

O = 1 " This is the Integer whole Number One! "

I = 1.111..." This is the Infinite Calculation! that is used from the Formula ( 1 / 0.9 ) x ( 0.9 ) = ( 1.111...)

R = " The Result Variable! "

So we now have Only four Variables! N,O,I,R that are Clear to spot and use! as examples...It is Only nesessary to use these four variables to Show how to Calculate Infinite/Recurring Number/Values! So Only use them!...

Below is my Formula to Calculate Infinite/Recurring 0.9 in Numbers Only form! and the same Formula using the Variables above!...

Numbers ( 1 / 0.9 ) = ( 1.111...) x ( 0.9 ) = 0.999... And now the Variables ( O / N ) = ( I ) x ( N ) = ( R ) " Which also equals 0.999..."

What can be seen clearly from my Formula above by using the Variables is! that at no time are any of the .9s being Rounded up in any way by using the Classic Math trick ( 0.9 / 0.9 ) = 1 there is Only one ( N ) Value and Only one ( R ) Value! both are Different!...

Examples below must not be used to make Any two Numbers that are the same equal 1

N / N = 1 " But this does not make the Original Value for N = 1 "

O / O = 1 " But this does not make the Original Value for O = 1 it already is! "

I / I = 1 " But this does not make the Original Value for I = 1 "

R / R = 1 " But this does not make the Original Value for R = 1 "

Now let´s look at some other Mistakes people are making when Calculating Infinite/Recurring Number/Values!

I have seen the Calculation Infinite/Recurring 0.9 equals " 0.9 + 9 + 9 + 9 ...etc. "

where the .9´s are shown as being connected! with the first .9 as though it is a continuous Calculation being Add! this is a serious mistake and where there is a lot of confusion!

The true Value for Infinite/Recurring 0.9 is where the first .9 is being Infinitely repeated Over and Over again! so that the Calculation actually never moves away from being any Greater than 0.9 there may be many .9´s but they are Repetitions of the first! not being Add!

The True way to show Infinite/Recurring 0.9 should be with the .9´s Seperated! as here Infinite/Recurring 0.9 = .9,.9,.9,...etc. where each .9 has the Original value equal to 0.9

The Result will always be 1 - 0.9 = 0.1 where 0.1 is the Infinite/Recurring 0.1 Difference!...

Anthony.R.Brown 16/10/07.

To JaneFairfax

Quote:" You can insult me all you like, but please dont insult Ms Williams. "

A.R.B

I would never do that! they have much to Good a Racing Car Team!...

To JaneFairfax

Is your Photo the Result of Darwins theory! or did the gene pool go wrong some where!...

As far as your Quote: above goes! you may not realise it! but there are many people who still think you can take any two Numbers that have the same Values! Divide them! and then somehow one or Both of them then equal 1 ?

A.R.B

Quote:" Can you have something so thin is has no area along each straight edge?

In the mind, but not in practice.

If it is just algebra-line thin, then it isn't really there, it just is a reference line. "

A.R.B

For the Quote above! what ever you are on! I want some!...........................................................................................................

A.R.B

The Masses! cant Resist!...Fame is Good for the Soul!.................................................................................................................

Quote:" Hmm... so what does it mean that I can make a hole with an area LARGER than the starting area of the piece of paper? By careful cutting, you can actually make it so the paper unfolds and you can start with an 8.5"x11" piece of paper, and cut a hole in it that's 3'x5' (or bigger, depending on how good you are with scissors). "

A.R.B

Almost Funny!...Don't give up your day job and try to become a Comedian! Stick to Math! but that´s out of your League as well!...

Quote:" Look, he's mocking your mock Devante "

A.R.B

More like Silencing the MUCK!...

Quote:" In case you! hadn't noticed! I was pointing! out an obvious! contradiction! of yourself! For instance! have! you heard of the! word! 'trolling'! "

A.R.B

In case you! hadn't noticed! Now try Some Math!...

Just in case the Penny has not dropped for everyone!

The Hole could Represent Infinite/Recurring 0.9

And the Paper could Represent the Infinite/Recurring 0.1 Difference!...

A.R.B

Quote:" I am dumb; can you have a 1-dimensional rectangle of paper for the frame with zero area? "

A.R.B

I am not sure! please explain!...