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Topic: Division by zero

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	Division by zero - Wikipedia, the free encyclopedia
		Therefore, as far as elementary arithmetic is concerned, division by zero cannot be defined.
		Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator.
		Division by zero must be left undefined in any mathematical system that obeys the axioms of a field.
	en.wikipedia.org /wiki/Division_by_zero (1907 words)

	Zero
		We can see from this that the early use of zero to denote an empty place is not really the use of zero as a number at all, merely the use of some type of punctuation mark so that the numbers had the correct interpretation.
		The sum of zero and a negative number is negative, the sum of a positive number and zero is positive, the sum of zero and zero is zero.
		A negative number subtracted from zero is positive, a positive number subtracted from zero is negative, zero subtracted from a negative number is negative, zero subtracted from a positive number is positive, zero subtracted from zero is zero.
	www-groups.dcs.st-and.ac.uk /~history/HistTopics/Zero.html (2872 words)

	Insolitology - Division by Zero
		Division by zero error is the greatest injustice in science.
		Zero is is the center point on all scales as they all meet at the only number that represents the beginning of the that scale.
		Generally speaking I'm referring to division by zero as my indication that I do not wish to divide or that something is not to be divided or is not dividing or anything at all happening to my object subject to division.
	www.insolitology.com /other/division.htm (2904 words)

	division by zero
		The similar was situation (division by zero) with Einstein’s model of Static Universe involving Cosmological Constant, which was then purposely withdrawn by Einstein.
		The division by zero in Einstein’s equations lead to acceptance of doctrine of Expanding Universe, similarly division by zero Second Law of Motion (m = F/a) lead to equation of force which supports the perception of force and motion in pre-Galileo’s or Aristotle’s days.
		George Gamow (1904-1968) Russian-born American nuclear physicist and cosmologist remarked that "it is well known to students of high school algebra" that division by zero is not valid; and Einstein admitted it as the biggest blunder of his life [1].
	www.wbabin.net /ajay/zero.htm (1269 words)

	Division (mathematics) - Wikipedia, the free encyclopedia
		Division is most often shown by placing the dividend over the divisor with a horizontal line, also called a vinculum, between them.
		Division can be calculated with an abacus by repeatedly placing the dividend on the abacus, and then subtracting the divisor the offset of each digit in the result, counting the number of divisions possible at each offset.
		Apart from division by zero being undefined, the quotient will not be an integer unless the dividend is an integer multiple of the divisor; for example 26 cannot be divided by 10 to give an integer.
	en.wikipedia.org /wiki/Division_(mathematics) (1065 words)

	Math Forum: Ask Dr. Math FAQ: Dividing by Zero
		Division by zero is an operation for which you cannot find an answer, so it is disallowed.
		So we say that division by zero is undefined, for it is not consistent with division by other numbers.
		Division by 0 is not so much a phenomenon as it is a supposed construction, which is provably contradictory to a given set of rules and therefore not permitted within the system upon which the rules are imposed.
	mathforum.org /dr.math/faq/faq.divideby0.html (1915 words)

	Zero as a Number (Site not responding. Last check: 2007-10-13)
		The idea to use zero as a number was probably not recognized until the early centuries A.D. The Hindus and Arabs appear to have led the way.
		A number multiplied by zero is zero, and that number remains unchanged which is divided by, added to, or diminished by zero.
		Others of his time either avoided the division of zero or declared the result of it to be meaningless.
	www.und.edu /dept/math/history/zeronum.htm (228 words)

	Division by Zero
		Division by zero is the operation of taking the quotient of any number x and 0, i.e.,
		0 is the only number with this property and, as a result, division by zero is undefined for real numbers and can produce a fatal condition called a "division by zero error" in computer programs.
		Although division by zero is not defined for reals, limits involving division by a real quantity x which approaches zero may in fact be well defined.
	users.skynet.be /fa956617/math/topics/DivisionbyZero.html (248 words)

	Zero Saga
		Zero as a concept, was derived, perhaps from the concept of a void.
		There is also "the Zero Factor about the US Presidents" known as the Zero Factor and Tecumseh's Curse which is the curse of Indian chief Tecumseh which has Killed every U.S. President before the end of their term in office, if they were elected in a year that ended with 0.
		A positive divided by a positive or a negative divided by a negative is positive; a zero divided by a zero is zero; a positive divided by a negative is negative; a negative divided by a positive is [also] negative.
	home.ubalt.edu /ntsbarsh/zero/ZERO.HTM (18483 words)

	Ephilosopher :: Puzzles and Paradoxes :: Division by Ø (zero); (Site not responding. Last check: 2007-10-13)
		Of course, by saying that division by 0 equals infinity, you are saying that sentences like 'zero times infinity equals four'.
		Zero screws up things like binomials and modulus by interupting mathmatical operations right in the middle of solving a problem.
		Example 2 is certainly not division by 4 even though we use the phrase "divide these 12 apples into four parts." It's division by 3.
	www.ephilosopher.com /phpBB_14-action-viewtopic-topic-3137.html (2074 words)

	Fantastic Metropolis » Division by Zero
		The reason is that division is defined as the inverse of multiplication; if you divide by zero, and then multiply by zero, you should regain the number you started with.
		Hidden inconspicuously in the middle is a division by zero, and at that point the proof has stepped off the brink, making all rules null and void.
		Permitting division by zero allows one to prove not only that one and two are equal, but that any two numbers at all—real or imaginary, rational or irrational—are equal.
	www.fantasticmetropolis.com /show.html?fn,division,1 (562 words)

	purevolume™ \| Division by Zero (SC)
		Division By Zero has recently released our new album Genpuku.
		Division by Zero (SC) hasn't posted a blog yet.
		Division by Zero (SC) hasn't posted any shows yet.
	www.purevolume.com /divisionbyzerosc (129 words)

	Memi.Reflection : Division by Zero (Site not responding. Last check: 2007-10-13)
		Anyway, here is an article which discusses this issue, but still does not explain when a division by zero is infinity.
		On the other side, in this article there is a good explanation why division by zero is not defined for reals, and when it is defined.
		Division by zero has always resulted in infinity.
	weblogs.asp.net /memi/archive/2004/12/15/316015.aspx (547 words)

	Division by ZERO!!!
		Im not sure what u mean by a new number system, but no, you cant use dividing by zero in math because it leads to ilogical anwers.
		If you're working with some system where x0 is not equal to zero, or where division* is not the inverse of multiplication, then you are not doing arithmetic; you're working on some other, strage, system.
		the only sense in which division by zero works in my experience is when we consider a function like [(x-a)(f(x))]/(x-a), and plug in x=a, geting f(a).
	www.physicsforums.com /showthread.php?p=290380 (1086 words)

	BBC - h2g2 - Division by Zero
		A factor is confirmed and remaining factors isolated by division.
		= a × a, which does not involve division by zero, but multiplication by a, which is valid even when a = 0.
		by a – b by noting the highest powers of a in numerator and denominator, that is ab and a, it is determined that ab = a × b, which does not involve division by zero, but multiplication by b.
	www.bbc.co.uk /dna/h2g2/A2194742 (478 words)

	CD Baby: SOUNDJOURNEY: Division by Zero
		Division by Zero takes you on an inner journey into the depths of you being and to the far reaches of your soul.
		The extraordinary new CD of healing sound music, "Division by Zero" is now available for your listening and transformation.
		In Division by Zero, Dr. Grossman, Sound Healer, Shaman, and Licensed Acupuncturist, unites instruments from Asia, Australia, Europe, North and South America, India, and Africa into a fabric of sound and vibration that is simply extraordinary.
	www.cdbaby.com /cd/soundjourney (1732 words)

	division by zero « WordPress Support
		There will be no "bugfix" for division by zero.
		The "default" in mathematical equations for division by zero is "1" - however if you actually attempted the process, your brain would explode.
		And what's it's telling you is that zero is not valid where you put it.
	wordpress.org /support/topic/74219 (747 words)

	Division By Zero
		I know division by zero is illogical itself, but usually when you divide by zero the result should be zero anyway.
		Where did you get the idea that "usually when you divide by zero the result should be zero anyway." I can't imagine any situation (except under some condition where you have 0/0 but you don't seem to be talking about that) where dividing by 0 could reasonably be interpreted at resulting in 0.
		If we wish to divide by zero we need to pass to a larger system that wouldnt't be a field.
	www.physicsforums.com /showthread.php?p=535786 (1081 words)

	DIVISION ZERO - Campaign Notes (Site not responding. Last check: 2007-10-13)
		Culled from the world over, Zero Agents test their unique abilities and training as they confront the weird, the fantastic and the unknown.
		By 2004, 80% of DIVISION ZERO's agents are Parahumans selected from the world over.
		Secrecy is paramount to DIVISION ZERO's existence and it is guarded accordingly.
	www.paratime.ca /v_and_v/campaigns/zero/index.html (216 words)

	Division By Zero Hypothesis (Site not responding. Last check: 2007-10-13)
		----------------- Alf, Division by zero is often defined as infinity.
		The limit of x as x approaches zero from the negative side is -0.
		The limit of x as x approached zero from the positive side is +0.
	www.newton.dep.anl.gov /askasci/math99/math99166.htm (168 words)

	Division by Zero (Site not responding. Last check: 2007-10-13)
		We've given that "k" multiplied by "zero" is "one", and we already know that "one" multiplied by "two" is "two", so the answer appears to be "two".
		Prior to my definition of the Absurd Numbers, it would have been fair to say, "there exists no solution to the relation, 'x multiplied by zero equals one'," because it was true of all the implicit domains to which we could have applied it.
		There exists no solution to the division by zero problem in the domains of Real or Imaginary Numbers, but that doesn't prevent me from inventing the Absurd Numbers in which the solution does exist.
	www.nutters.org /log/div-zero (1202 words)

	freebasic.net :: View topic - Divison by zero?
		The second line is a result from a function that checks for a division by zero.
		BTW: For example all other languages makes exceptions, error messages or stop the program when a division by zero is found.
		A floating point division by zero returns 1.#INF, that's an error result, but integer division returns a valid value.
	www.freebasic.net /forum/viewtopic.php?p=2859 (376 words)

	Role of Zero in division
		The division operation involving zero is a very difficult to understand, hence considered separately in this article.
		It means at intuitive level the children feel that the answer should be zero, but lack reasoning.
		After solving these examples they will be in a position to conclude: Zero divided by any number, greater than zero, gives a zero quotient.
	www.suite101.com /article.cfm/math_fun/100097/1 (390 words)

	Role of Zero in division
		Some say, 'forming groups of zero is impossible!' Others react, 'if we keep on subtracting zero dollars from 50 dollars, 50 dollars would remain as they are.
		However, mathematically it is stated as 'divisor should never be zero, as the result it undefined'.
		In this situation I always remind them that we have seen that the 'divisor should never be zero, as the result it undefined'.
	www.suite101.com /article.cfm/math_fun/100097/2 (254 words)

	Division by Zero
		I think it is a shame when a $10 piece of plastic and wires has more sense than someone our public schools have hired to inspire young minds.
		So in math, we have the rule that to divide a number by another number, means to find another number such that the first number times the second number equals the third number.
		That sounds difficult, but what it boils down to, is that for a division like 8/2 = 4 to be true, then 2 x 4 = 8 must also be true.
	www.mathmojo.com /interestinglessons/division_by_zero/division_by_zero_1.html (860 words)

	Division by zero (Site not responding. Last check: 2007-10-13)
		Why is division by zero undifined (i have to proof that division by zero is undifined)
		Note what happens when b = 0 and c is a real number.) One important aspect of calculus is learning to deal with division by zero.
		In other words, division by zero can be defined, and that definition is part of the foundation of calculus.
	mathcentral.uregina.ca /QQ/database/QQ.09.01/james3.html (106 words)

	Division by zero (Error 11) (Site not responding. Last check: 2007-10-13)
		The value of an expression being used as a divisor is zero.
		A misspelled variable name can implicitly create a numeric variable that is initialized to zero.
		Check previous operations on variables in the expression, especially those passed into the procedure as arguments from other procedures.
	msdn.microsoft.com /library/en-us/vbenlr98/html/vamsgDivByZero.asp?... (73 words)

	Trapping and identifying divide-by-zero errors
		It is often important to be able to eliminate any possible (accidental) division by zero errors in code, especially for embedded systems, which may not be able to recover easily.
		Integer division is implemented by calling the C library functions __rt_sdiv and __rt_udiv.
		So to trap the division by zero, all you need to do is place a breakpoint on __rt_div0.
	www.arm.com /support/faqdev/1211.html (442 words)

	Lair Of The Multimedia Guru » Division by zero
		The intuitive explanation with division of positve integers
		with that set of rules one can easily find many algebras in which you can divide by zero, for example just define the * operation to be identical to + and that identical to the common addition, division by zero is just subtraction by zero, totally useless but it works
		Sure but if you generalize your algebraic system a bit and give up some (or all?) of the nice properties, you can have an algebraic division by zero.
	guru.multimedia.cx /division-by-zero (885 words)

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