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1200-year-old problem 'easy' [dividing by zero]
BBC ^ | 12/8/06

Posted on 12/08/2006 12:20:06 PM PST by LibWhacker

Schoolchildren from Caversham have become the first to learn a brand new theory that dividing by zero is possible using a new number - 'nullity'. But the suggestion has left many mathematicians cold.

Dr James Anderson, from the University of Reading's computer science department, says his new theorem solves an extremely important problem - the problem of nothing.

"Imagine you're landing on an aeroplane and the automatic pilot's working," he suggests. "If it divides by zero and the computer stops working - you're in big trouble. If your heart pacemaker divides by zero, you're dead."

Computers simply cannot divide by zero. Try it on your calculator and you'll get an error message.

But Dr Anderson has come up with a theory that proposes a new number - 'nullity' - which sits outside the conventional number line (stretching from negative infinity, through zero, to positive infinity).

'Quite cool'

The theory of nullity is set to make all kinds of sums possible that, previously, scientists and computers couldn't work around.

"We've just solved a problem that hasn't been solved for twelve hundred years - and it's that easy," proclaims Dr Anderson having demonstrated his solution on a whiteboard at Highdown School, in Emmer Green.

"It was confusing at first, but I think I've got it. Just about," said one pupil.

"We're the first schoolkids to be able to do it - that's quite cool," added another.

Despite being a problem tackled by the famous mathematicians Newton and Pythagoras without success, it seems the Year 10 children at Highdown now know their nullity.


TOPICS: Culture/Society; United Kingdom
KEYWORDS: anderson; dividing; easy; education; iaresmart; piledhigheranddeeper; publickskool; pythagoras; zero
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To: Poser

Chuck Norris can trisect any angle and square the circle.

Chuch Norris can accurately represent pi in an algebraic series containing only five terms.

Chuck Norris is a perpetual motion machine.


321 posted on 12/09/2006 8:16:25 AM PST by Lonesome in Massachussets (The hallmark of a crackpot conspiracy theory is that it expands to include countervailing evidence.)
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To: narby

I think you are making a big deal out of nothing. Navigation was accomplished by slide rule for years. Radar and the beacon locate a plane to within a few feet. Navigation aids keep a airplane on course within a few feet. Gyro compass will keep an airplane on course. Flight computers are constantly updating and maintaining course and of course the pilot would not be worried because his flying skills are not concerned by a divide by zero error. I think you are making a big deal out of nothing.


322 posted on 12/09/2006 8:26:30 AM PST by mountainlyons (Hard core conservative)
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To: Lonesome in Massachussets
Thanks, you're right. Sorry, that "/" should not have been there. I attempted a copy and edited a mess, replacing a backslash with a slash. I should have just typed it.

ax = exp(xln(a))

I have mathcad here. It gives the same thing with 00=1.

323 posted on 12/09/2006 8:54:50 AM PST by spunkets
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To: grey_whiskers

No prize? ;)


324 posted on 12/09/2006 8:56:11 AM PST by spunkets
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To: Lonesome in Massachussets
Chuch Norris can accurately represent pi in an algebraic series containing only five terms.

*snicker*

325 posted on 12/09/2006 9:23:06 AM PST by Professional Engineer (As far as we know, all numbers are imaginary. some just hurt your brain more than others. ~ lepton)
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To: mountainlyons
I think you are making a big deal out of nothing. Navigation was accomplished by slide rule for years.

And before that, humans got around just fine on horses or their feet for centuries. I prefer not to go backwards.

326 posted on 12/09/2006 1:06:39 PM PST by narby
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To: grey_whiskers
Extra credit: can someone from the class explain the Kronecker delta? ;-)

My very favorite.... It's zero, except when it's not.

327 posted on 12/09/2006 4:02:24 PM PST by r9etb
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To: 2banana

That's about the funniest I've seen in a long time.


328 posted on 12/09/2006 4:08:05 PM PST by MeneMeneTekelUpharsin (Freedom is the freedom to discipline yourself so others don't have to do it for you.)
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To: LibWhacker
30/0=30. If a number has no divions it remains the same number. If you have a pile of apples and you divide the pile by a number, you have that number of separate piles. If you make zero dividions you stay with the same pile.

Where am I going wrong, here?

329 posted on 12/09/2006 4:34:18 PM PST by William Terrell (Individuals can exist without government but government can't exist without individuals.)
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To: LibWhacker
Will my bank buy into nullity?
330 posted on 12/09/2006 4:36:13 PM PST by pointsal (q)
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To: William Terrell

Hi, WT! If you have

a/b = c

It necessarily follows that

a = b*c

So in your example we'd have

30 = 0*30

which is clearly false.

Check out my attempt to explain it in post #70. It's the explanation you find in most algebra books. Cheers!


331 posted on 12/09/2006 5:13:01 PM PST by LibWhacker
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To: LibWhacker
So zero simply doesn't apply to the real world. Since the world is filled by the nonexistence of everything everywhere, zero must be the same as nothing nowhere. Just a placeholder tool to oil math operations.

332 posted on 12/09/2006 7:56:44 PM PST by William Terrell (Individuals can exist without government but government can't exist without individuals.)
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To: LibWhacker

Exactly.


333 posted on 12/09/2006 8:01:21 PM PST by facedown (Armed in the Heartland)
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