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Topic: Zero divided by zero

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	Zero
		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.
		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.
	www-groups.dcs.st-and.ac.uk /~history/HistTopics/Zero.html (2872 words)

	Zero divided by zero - 4Forums.com
		Dividing say, ten, by, say, two gives us the size of each piece that results when ten is halved: two pieces each of size five.
		Dividing zero by two gives us the size of each piece that results: both pieces are of size zero.
		Even when dividing by zero, the question is nonsensical; the sizes of nonexistent pieces cannot be measured.
	www.4forums.com /political/showthread.php?p=238045 (1408 words)

	Zero Saga
		Zero as a concept, was derived, perhaps from the concept of a void.
		Zero is placed at the end of the keypad on the computer and at the bottom of the keypad on the telephone.
		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)

	Why can't numbers be divided by zero?
		24 divided by 2 is not 11 with a remainder of 2.
		Dividing by zero does not produce a numerical result, since infinity is a limitless concept, but it does produce a mathematical answer.
		Calculating the tangent of an angle may also produce a divide by zero situation, since the tangent is defined as rise/run or sine(x)/cosine(x).
	www.answerbag.com /q_view.php/7592 (1815 words)

	Zero as a Number (Site not responding. Last check: 2007-11-06)
		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.
		Considering the first, most mathematicians at the time accepted zero as a possible solution, but did not think much of it since it was not very useful as a solution to practical problems.
		A number multiplied by zero is zero, and that number remains unchanged which is divided by, added to, or diminished by zero.
	www.und.edu /dept/math/history/zeronum.htm (228 words)

	Division by zero - Wikipedia, the free encyclopedia
		But in the case of zero, repeated subtraction of zero will never yield a remainder less than or equal to zero, so dividing by zero is not defined.
		Division by zero must be left undefined in any mathematical system that obeys the axioms of a field.
		Because of the improper algebraic results of assigning any value to division by zero, many computer programming languages (including those used by calculators) explicitly forbid the execution of the operation and may prematurely halt a program that attempts it, sometimes reporting a "Divide by zero" error.
	en.wikipedia.org /wiki/Zero_divided_by_zero (2015 words)

	Arithmetic: A Crash Review
		Since we use the sign rules for multiplication when dividing, a fraction with negative numbers for both numerator and denominator is equal to the fraction whose numerator is the absolute value of the original numerator, and whose denominator is the absolute value of the original denominator.
		The numerator of the reduced fraction is the quotient of the original fraction's numerator, divided by the greatest common factor of the numerator and denominator.
		The denominator of the reduced fraction is the quotient of the original fraction's denominator, divided by the greatest common factor of the numerator and denominator.
	www.zaimoni.com /Arithmetic.htm (8200 words)

	purevolume™ \| Divided By Zero
		Divided by Zero is an original band from San Diego that fuses elements of melodic hard rock, punk, and reggae to create a highly original sound that combines metals aggressiveness with classic hooks and melodies.
		Divided By Zero hasn't posted a blog yet.
		Divided By Zero hasn't posted any shows yet.
	www.purevolume.com /dividedbyzero (92 words)

	Philosophical Problems with Calculus
		Indeed, as the length approaches zero, the sum of the area of the triangles approaches the area within the circle.
		Since it is the smallest possible quantity before zero, we could only write it with a decimal point, followed by an infinite number of zeros, followed by a 1 (the smallest positive integer).
		Indeed, the row with any number divided by zero would simply extend horizontally, which implies, in the same way as above, that 0/0 would be equal to all those values too.
	www.friesian.com /calculus.htm (3748 words)

	Good Math, Bad Math : Zero
		I haven't done it yet, because zero is actually a suprisingly deep subject, and I haven't really had time to do the research to do it justice.
		He was the first to use zero as a real number, and work out a set of algebraic rules about how zero, positive, and negative numbers worked.
		But it is especially relevant to this discussion because it shows the significance of the zero as a place-holder: the Romans did have a way multiply, but without zero, their method is independent of the notation (reading the linked page makes it clear that the method would work for any notation).
	scienceblogs.com /goodmath/2006/07/zero.php (6060 words)

	The Daily WTF - Dividing by Zero is defined now!
		Division by zero is not defined so whenever it arises a human mathematician has to get involved and try to sort it out.
		Um, no. Any number divided by zero is not considered infinite, it is considered undefined.
		So, in order to avoid causing math errors from division by zero, this idiot has created a new batch of entities which requires special rules which are even more complex (which means less intuitive and more difficult to implement) than just "don't divide by zero".
	thedailywtf.com /forums/105752/ShowThread.aspx (3793 words)

	Calculus allows dividing by zero? - GameDev.Net Discussion Forums (Site not responding. Last check: 2007-11-06)
		So you're dividing by zero, which is undefined, not 1 (as your step 7 suggests).
		On line 4 to 5 you divide by "almost 0" to eliminate the d in the denominator.
		Step 3 can be set equal to step 4 by the multiplicative identy of zero (anything times zero is zero) and then setting 0=0 by transitive law (a=c, b=c, therefore a=b).
	www.gamedev.net /community/forums/viewreply.asp?ID=1053652 (2643 words)

	BerkeleyHigh.org :: Archived News Item
		Zero divided by anything is still zero, so the term just disappears.
		As a general rule of thumb, it’s best used when you have only multiplied or divided terms to deal with — if there’s any addition or subtraction of terms going on, it can still be done, but may end up taking more, rather than less time.
		However, unless you particularly want to prove that zero is, in fact, zero, this may not be too useful.
	www.berkeleyhigh.org /archives/000096.html (733 words)

	..:Divided By Zero:..
		If mathematically dividing anything by zero is impossible, then in the musical sense Divided by Zero have proven the contrary - nothing is impossible.
		Although this might be Divided by Zero's debut album, the band and its members are far from new to the music scene.
		In addition, Divided By Zero's music was featured on Jim Rome's nationally syndicated sports talk show, "The Jungle", and on the soundtrack for the video games Twisted Metal 4 and TJ Lavin's Ultimate BMX.
	www.dividedbyzero.tv /biography.asp (439 words)

	Question Corner -- Why You Can't Divide Nine By Zero
		The question "what is 9 divided by 0" is simply another way of asking the question "which number, when multiplied by 0, gives you 9?" There is no such number, and therefore no answer to the question.
		One final comment: the question "what is 0 divided by 0" is a little different from questions like "what is 9 divided by 0".
		But there's still no answer to the question "what is 0 divided by 0", because this question is really asking "what is the one special and unique number which, when multiplied by 0, gives 0?" There isn't any such single, unique number, and hence there is no answer to the question.
	www.math.toronto.edu /mathnet/questionCorner/nineoverzero.html (563 words)

	..:Divided By Zero:..
		Divided By Zero's set for this Friday's All Ages Soma show has been changed to the better timeslot of 10pm sharp.
		Divided By Zero has parted ways with longtime drummer Jason Vick and would like to announce the addition of Steve Moran (formerly of the band SWAN) on drums.
		Divided By Zero has been added to the lineup for Soma's ALL AGES New Year's Eve Show at The San Diego Sports Arena.
	www.dividedbyzero.tv (2420 words)

	www.myspace.com/dividedbyzero (Site not responding. Last check: 2007-11-06)
		If mathematically dividing anything by zero is impossible, then in the musical sense Divided by Zero have proven the contrary nothing is impossible.
		Divided By Zero have seamlessly bridged the gap between musical genres to make one infectious sound.
		Navigating the often treacherous seas of todays modern rock world, Divided By Zeros The Black Sea is an album packed full of captivating melodies, lean grooves, swaggering riffs, and breezy acoustics.
	www.myspace.com /dividedbyzero (1312 words)

	National Partnership for Advanced Computational Infrastructure: Archives
		Note that a zero destination register will not allow the exceptional value to be saved.
		In conformance with IEEE Standard 754, an invalid operation exception is raised (and a trap potentially taken) when a conditional test operation encounters a NaN when performing an inequality test as described in Rounding.
		The high-order fraction bits of a NaN are zero; these bits are Bits 51--3 for a normal 64-bit floating-point number, and Bits 22--3 for a 32-bit floating-point number.
	www.npaci.edu /MTA/tera-doc/pofo/html/Floating-point_Exceptions.html (437 words)

	IEEE Std 754-1985_Interpretation (Site not responding. Last check: 2007-11-06)
		While this is apparently the convention decided on by the committee, it is mathematically incorrect and it seems as if it should have been designated as Not-a-Number, since division by zero is mathematically undefined and implies that 0*infinity=1, which is patently absurd.
		When a non-zero number is divided by a zero number, that is a divide by zero.
		When zero is divided by zero, no such extrapolation can be made.
	standards.ieee.org /reading/ieee/interp/754-1985.html (428 words)

	Integration - Pet shop boys lyrics: Please
		(divided by, divided by) i think they heard a rumour
		(divided by, divided by) than call it all off
		(divided by, divided by) you won't be alone
	members.tripod.com /~petshopgirl_13/please.html (1322 words)

	John Kearney’s Blog » zero over zero
		Tom’s (and Cian’s) teacher at Leinster Senior had told them at zero divided by zero was equal to one.
		So I think zero deserves a cult, on wikipedia…should I ever be so bored/drunk/epiphonic (I doubt the existance of that word, but I truely love it) as to create.
		Also, just to make it clear I was not trying to divide by zero, that’s, in the words of same guy whose name is lost to me (one of those Italian-New-Yorker/Eastern European crossbreeds (of name)), “Bat-shit fucking loco insane”.
	www.johnmarkkearney.com /?p=7 (1946 words)

	... ...Zero Virus... ...Ver 3.1: Images
		The following images have been divided into 2 section, character art and in game art.
		The images are from both Megaman X and Megaman Zero.
		Mega Man, Zero and all related characters are registered trademarks of Capcom Co., Ltd. Pretty much everything else, except the midis which I didn't make, by me ©2002/2003/2004
	www.kingdom-hearts2.com /zerov/images.html (229 words)

	XQuery 1.0 and XPath 2.0 Functions and Operators
		Summary: This function backs up the "idiv" operator and performs an integer division: that is, it divides the first argument by the second, and returns the integer obtained by truncating the fractional part of the result.
		If the divisor is zero, then an error is raised [division by zero].
		is zero, then an error is raised [division by zero].
	www.w3.org /TR/2004/WD-xpath-functions-20040723 (5731 words)

	Samsara Divided by Zero
		If the forces governing the system are described as mathematical equations, the resonances are the points where the equations intersect in such a way that one of the members is divided by zero.
		This, of course, produces an undefined result, which means that if an object within the system strayed into a resonance point, it would no longer be defined by the causal network determining the system.
		But if you take aim at stress and clinging, and work to take them apart, you'll be able to break through to the point where the present moment gets divided by zero in the mind.
	www.accesstoinsight.org /lib/authors/thanissaro/resonance.html (965 words)

	Ratio Plus (Site not responding. Last check: 2007-11-06)
		If a pixel value becomes negative after background subtraction, it is set to zero before ratio calculation.
		In addition, the plugin can accept clipping values for either of the images: if the pixel intensity (after background subtraction) is lower than the clipping value for that image, it is set to zero before ratio calculation; the clipping values for either image are set by the user.
		NB: if two corresponding pixels in the first and second images are zero, their ratio is set to 1 (one); i.e., "zero by zero" division equals one.
	rsb.info.nih.gov /ij/plugins/ratio-plus.html (178 words)

	"Overflow" Error Might Be the Result of 0/0
		When the error "Overflow" is encountered in a Microsoft QuickBasic program, one possibility is to check for a zero divided by zero (0/0) condition.
		Any numeric value divided by zero will produce the error "Division By Zero," but zero (0) being divided by zero produces a special floating- point exception.
		When diagnosing an "Overflow" error, you may wish to first determine if the expression reduces to zero divided by zero.
	support.microsoft.com /kb/42473 (240 words)

	The GNU C Library - Low-Level Arithmetic Functions
		is finite or a "not a number" value, and zero otherwise.
		is zero, the value is minus infinity (if the machine supports such a value), or else a very small number.
		If the result cannot be represented (as in a division by zero), the behavior is undefined.
	www.cs.utah.edu /dept/old/texinfo/glibc-manual-0.02/library_18.html (1457 words)

	Differences in Coprocessor Error in QuickBasic 4.5 vs. 4.0
		Zero divided by zero gives an indeterminate result.
		Any nonzero value divided by zero gives an infinite result.
		In order to cause consistent behavior under all versions of QuickBasic, it is best to use an IF...THEN statement to check the divisor before attempting the division.
	support.microsoft.com /kb/75720 (524 words)

	themusicedge.com :: Divided By Zero (Site not responding. Last check: 2007-11-06)
		The name of the band Divided By Zero illustrates an impossibility in mathematics, for it is impossible to divide any number by zero.
		Luckily the band’s upcoming album, The Black Sea, is more exciting to listen to than an Algebra teacher trying to explain the concept of an imaginary number.
		On the other hand, Divided By Zero has a little something for every punk rock fan to enjoy, whether you prefer your music hardcore or soft.
	www.themusicedge.com /moxie/news/reviews/divided-by-zero.shtml (212 words)

	XQuery 1.0 and XPath 2.0 Functions and Operators
		If the divisor is (positive or negative) zero, then an error is raised [err:FOAR0001].
		If the argument is negative zero (-0), then negative zero (-0) is returned.
		If the argument is less than zero (0) and greater than -1, negative zero (-0) is returned.
	www.w3.org /TR/2005/WD-xpath-functions-20050404 (5804 words)

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