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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: Lonesome in Massachussets
"0^0 = 1 !!! Excel spits out #NUM!

That's another one of those indeterminate forms. What's the log of 0? What does base zero mean? Somewhere you get a 0*inf NaN. 0! is simply defined as 1.

281 posted on 12/08/2006 5:01:49 PM PST by spunkets
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To: spunkets
It means the limit is taken from the positive direction. Otherwise, the result is imaginary.

Agreed ... but it's not zero, which is the point.

282 posted on 12/08/2006 5:11:25 PM PST by r9etb
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To: BobS
"Start from this basic question:..."

I know what it does, but it's NaN. The particular problem must be considered and approached that way -maybe. Consideration must be given. There's no general way to handle it. It's in a class of operations called interterminate forms where a value can not be assigned in general.

Division is defined in terms of multiplication.

x * 0 = 0

0/0 = Nan ect... A real problem can be looked at and an approx used.

283 posted on 12/08/2006 5:17:49 PM PST by spunkets
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To: spunkets
Limit x -->0 [a^x] = 1 and Limit x-->0 [x^0] = 1, so 0^0 = 1 simply makes exponentiation continuous, with respect to the exponent and the radix.
284 posted on 12/08/2006 5:20:53 PM 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: Alamo-Girl; betty boop
Hmmmmm... Divide by zero can be caught and dealt with computerwise..
Sounds like a non problem some liberal has found the answer to..
285 posted on 12/08/2006 5:24:22 PM PST by hosepipe (CAUTION: This propaganda is laced with hyperbole)
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To: CharlesWayneCT

0 is a kinetic "infinitesimality". (I know it's not a valid word but it depicts a domain) To multiply any static number by 0 "tears" that static number to kinetic infinitesimality, 0. However, I believe if you multiply kinetic infinitesimality (0) with the kinetic set of all values possible, (infinite fractioning and expansing wholes) the result is 1. Assuming eternal time is converted to a single static set value. But since time is infinite kinetic, the result is an unlimited amount of static values. Kinda like how the Universe was created if you apply this math to space. Omnipresence, omniscience, omnipotence put Itself "on the cross" (enter non-existance, the zero) to create this now Universe. That's the meaning of CHRISTmas to me. This Messenger from 2000 years ago.


286 posted on 12/08/2006 5:34:20 PM PST by USCG SimTech (Honored to serve since '71)
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To: quikdrw
"Plus, Chuck Norris has counted to infinity.....twice."

....and backwards.

287 posted on 12/08/2006 5:59:34 PM PST by RightOnline
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To: Lonesome in Massachussets
"Limit x -->0 [a^x] = 1 "

If a = 0 there's no inverse. Exponentiation is defined as the inverse of the natural log.

ax = exp(x/ln(a))

What's the ln of 0?

288 posted on 12/08/2006 6:01:57 PM PST by spunkets
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To: LibWhacker

This is just another manifestation of the secular humanist belief that reality is whatever you decide it is.


289 posted on 12/08/2006 6:42:35 PM PST by ViLaLuz (2 Chronicles 7:14)
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To: LibWhacker
bump for tomorrow.

(I couldn't log in this afternoon from work to comment on this.)

290 posted on 12/08/2006 7:17:30 PM PST by Tanniker Smith (I didn't know she was a liberal when I married her.)
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To: HarmlessLovableFuzzball
The world should be very grateful to i.

I don't know what you've done or why the entire world should be grateful or why you have such a high opinion of yourself, but you should learn to speak English properly.

TS
8-)

291 posted on 12/08/2006 7:19:42 PM PST by Tanniker Smith (I didn't know she was a liberal when I married her.)
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To: RFEngineer
Please rotate your phone 90 degrees and try again.

ROFLOL!

292 posted on 12/08/2006 7:21:21 PM PST by Professional Engineer (Speel check? What for? It'll just become part of the FReeper lexicon.)
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To: CharlesWayneCT

Mum's the word.


293 posted on 12/08/2006 7:23:01 PM PST by Professional Engineer (Speel check? What for? It'll just become part of the FReeper lexicon.)
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To: AmishDude
2+2=6 as 2 approaches 3.

limgpa->0ENGR=B.A.

294 posted on 12/08/2006 7:32:02 PM PST by Professional Engineer (Speel check? What for? It'll just become part of the FReeper lexicon.)
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To: lepton

What a great tagline!


295 posted on 12/08/2006 8:11:15 PM 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: hosepipe

LOLOL! Thanks for the ping!


296 posted on 12/08/2006 9:13:49 PM PST by Alamo-Girl
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To: Professional Engineer

LOL! I don't think I've ever been a tagline before. :)


297 posted on 12/08/2006 9:26:44 PM PST by lepton ("It is useless to attempt to reason a man out of a thing he was never reasoned into"--Jonathan Swift)
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To: Leftism is Mentally Deranged
Is this a record number of posts?

Way back when I was in school, they taught that misapplication was shorthand addition.
3 X 5 is the same as 5 + 5 + 5
Division is shorthand subtraction.
6 / 3 is the same as subtracting 3 from 6 two times.
Since you can subtract 0 from a number forever, the correct answer to x/0 is infinity.
In the early days of computing (IBM 1401 and Honeywell 200) division by zero returned zero. That is not mathematically correct, but it keeps the system from crashing and is a useful result in most cases.
298 posted on 12/08/2006 9:32:56 PM PST by Vietnam Vet From New Mexico (Rock The Casbah (said the little AC130 gunship))
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To: Erasmus

Good point.


299 posted on 12/08/2006 9:37:22 PM PST by null and void (To succeed in life, you need three things: a wishbone, a backbone and a funnybone. --Reba McEntire)
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To: r9etb

and I thought you were a language wizzzz....Jeeze you just made my old head hurt.


300 posted on 12/08/2006 9:38:35 PM PST by KC Burke (Men of intemperate minds can never be free...their passions forge their fetters.)
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