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Negative and non-negative numbers - Wikipedia, the free encyclopedia Negative integers can be regarded as an extension of the natural numbers, such that the equation x − y = z has a meaningful solution for all values of x and y. Negative numbers are useful to describe values on a scale that goes below zero, such as temperature, and also in bookkeeping where they can be used to represent debts. As recently as the 18th century, the Swiss mathematician Leonhard Euler believed that negative numbers were greater than infinity, and it was common practice to ignore any negative results returned by equations on the assumption that they were meaningless. en.wikipedia.org /wiki/Negative_and_non-negative_numbers   (1196 words)

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 NUMBERS Zero is also used as an integer, as the integer before one, and as a number which counts none of something. Zero as an integer still does not quite require a sense of the nullity of zero, it could still be seen as a mere mathematical convenience. Consider that although zero is not generally considered a positive number, it is certainly not a negative number; thus multiplying an inequality by zero, although we are not supposed to do it in ordinary arithmetic, would not, if we were to do it, reverse the sense of the inequality. www.mindalive.org /N/ZERO.HTM   (6795 words)

Obtuse Systems Corporation Negative zeros can "create the opportunity for an educational experience" when they are printed as they are often printed as "-0" or "-0.0" (the "educational experience" is the time and effort that you spend learning why you're getting these strange values). A single precision negative zero is represented in memory as the bit pattern 0x80000000 whereas a single precision positive zero is represented as 0x00000000. A double precision negative zero is represented as 0x8000000000000000 whereas a double precision positive zero is represented as 0x0000000000000000. www.obtuse.com /resources/negative_zero.html   (508 words)

: Class StrictMath   (Site not responding. Last check: 2007-10-10) If the first argument is negative zero and the second argument is greater than zero but not a finite odd integer, or the first argument is negative infinity and the second argument is less than zero but not a finite odd integer, then the result is positive zero. If the first argument is negative zero and the second argument is a positive finite odd integer, or the first argument is negative infinity and the second argument is a negative finite odd integer, then the result is negative zero. If the first argument is negative zero and the second argument is less than zero but not a finite odd integer, or the first argument is negative infinity and the second argument is greater than zero but not a finite odd integer, then the result is positive infinity. www.ida.liu.se /~eribe/djavadoc/java/lang/StrictMath.html   (2785 words)

[No title]   (Site not responding. Last check: 2007-10-10) If the first argument is negative zero and the second argument is * greater than zero but not a finite odd integer, or the first argument * is negative infinity and the second argument is less than zero but not * a finite odd integer, then the result is positive zero. If the first argument is negative zero and the second argument is * a positive finite odd integer, or the first argument is negative * infinity and the second argument is a negative finite odd integer, * then the result is negative zero. If the first argument is negative zero and the second argument is * less than zero but not a finite odd integer, or the first argument is * negative infinity and the second argument is greater than zero but not * a finite odd integer, then the result is positive infinity. www.cs.duke.edu /csed/java/src1.3/java/lang/StrictMath.java   (3913 words)

MathSteps: Grade 5: Negative Numbers: What Is It? Mathematicians define negative numbers as the opposites of positive numbers, since they are on the opposite side of zero from the positive numbers on a number line. Those numbers which are greater than zero are positive and those numbers which are less than zero are negative. Negative numbers are always written with a negative sign, but positive numbers may be written without a positive sign. www.eduplace.com /math/mathsteps/5/a   (362 words)

Articles - Absolute zero   (Site not responding. Last check: 2007-10-10) Alternate definitions are that absolute zero is the temperature at which no further energy can be extracted from a physical body, or the temperature at which the entropies of perfect crystals vanish, or the temperature at which the entropy change of an adiabatic process vanishes. This freed the concept from the constraints of the gas laws and established absolute zero as the temperature at which no further heat could be removed from a body. At absolute zero, the molecules and atoms in a system are all in their ground state, the state of lowest possible energy, and a system has the least amount of kinetic energy allowed by the laws of physics. www.centralairconditioners.net /articles/Absolute_zero   (1689 words)

Methods and apparatus for fast check of floating point zero or negative zero - Patent 5862066 When a floating point number with a fraction field of zero and either a positive or negative sign is used as the denominator in a divide operation, a divide by zero error, or exception, occurs. However, if two separate compare operations are required to check for positive and negative zeroes, there may not be enough time to detect the divide by zero and take corrective action before the divide operation has completed. Because the divide by zero condition is detected quickly and before the divide operation completes, appropriate steps can be taken without resorting to the elaborate error recovery mechanisms used in prior art systems. www.freepatentsonline.com /5862066.html   (4851 words)

Absolute zero Article, Absolutezero Information   (Site not responding. Last check: 2007-10-10) Absolute zero was first calculated by using the Ideal gas law, andsometimes absolute zero is defined as the temperature at which an Ideal gas hasno volume and exerts no pressure. In fact because of quantummechanical effects, the speed at absolute zero is not precisely zero, but depends, as does the energy, on the size of spacewithin which the atom is confined. It can be shown from the laws of thermodynamics that the temperaturecan never be exactly absolute zero; this is the same principle that ensures no system may be 100% efficient, although it ispossible to achieve temperatures arbitrarily close to it. www.anoca.org /temperature/energy/absolute_zero.html   (622 words)

Positive, Negative and Zero Exponents As you may have seen, any integer, whether positive or negative may be used as an exponent. A Zero exponent is investigated in much the same way. In problems where you have negative and zero exponents, regentsprep.org /Regents/mathb/4B1/posnegzles.HTM   (167 words)

Zero Saga 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. The sum of a negative and zero is negative, [that] of a positive and zero positive, [and that] of two zeros zero. 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   (18515 words)

GOODVAR-Replace negative, zero and bad variance values This routine checks the variance component of a datafile for values that are bad, negative, or zero and replaces them by values specified by the user. Negative variances often will cause an application to crash because it takes the square root to calculate the error. Errors of zero sometimes are reasonable or necessary for error propagation. docs.jach.hawaii.edu /star/sun86.htx/node416.html   (227 words)

[No title] These situations typically arise in distributive bargaining cases where a "fixed pie" must be divided between the parties. This becomes possible when the size of the pie is somehow enlarged so that there is more wealth to distribute between the parties than there was originally, or some other way is devised so everyone gets what they want or need. This means that the only way for a party to maintain its position is to take something from another party, and even if everyone takes his or her share of the "losses," everyone still loses in comparison to what they currently have or really need. www.beyondintractability.org /m/sum.jsp   (851 words)

V6 SAS Note: The XPORT engine converts negative zero to a very small non-zero number Generally, a zero is stored with a positive sign; however, a negative zero is stored with a negative sign (ie. This behavior can be replicated as follows (both x and y have a value of negative zero): libname tran sasv5xpt 'tran1.dat'; data one; x= input('8000000000000000',hex16.); y = round(0,1); /* this also creates a negative zero */ proc copy in=work out=tran; select one; run; The negative zero is converted to a number that is very close to zero (such as 5.39E-79). support.sas.com /techsup/unotes/V6/5/5966.html   (160 words)

purevolume™ | Negative Zero (CA) Negative Zero (CA) hasn't posted a blog yet. Negative Zero (CA) hasn't posted any shows yet. All songs, lyrics and pictures © 2005 Negative Zero (CA). www.purevolume.com /negativezeroca   (49 words)

wine-patches mailing list: OLEAUT32: disallow negative zero in case of underflow   (Site not responding. Last check: 2007-10-10) Last night I traced the problem to the way an underflowing negative float was converted into a string. In case of negative underflow (-1e-400 or so), native oleaut32 generates "0", Wine generates "-0" (a negative zero). The bottom line is, negative zeroes should be disallowed in float to string conversions. www.winehq.com /hypermail/wine-patches/2005/03/0535.html   (290 words)

Smart Software: January 2005   (Site not responding. Last check: 2007-10-10) I was initially thinking about negative zeros here, but negative zeros are not distinguishable from zeros except in the case of division by zero. If x is zero and y is negative zero, the 1/x is positive infinity and 1/y is negative infinity. Negative zero is obtained by operation which leads to negative underflow such as 1e-200/1e200 or 1/NegativeInfinity and is normally indistinguable from positive zero. wesnerm.blogs.com /net_undocumented/2005/01/index.html   (7760 words)

purevolume™ | Negative Zero (TX) Negative Zero (TX) hasn't posted a blog yet. Negative Zero (TX) hasn't posted any shows yet. All songs, lyrics and pictures © 2005 Negative Zero (TX). www.purevolume.com /negativezerotx   (118 words)

[No title]   (Site not responding. Last check: 2007-10-10) zero = true ; this->negative = false ; this->digits.Clear() ; return ; } } if (is_less) { this->negative = (bool) !this->negative ; j = 0 ; for (i = 0 ; i negative = true ; src = -src ; } else this->negative = false ; char c ; while (src > 0) { c = src % 10 ; this->digits += c + '0' ; src /= 10 ; } } bool BigInt::operator ! negative = false ; op.negative = false ; BigInt A[ 10 ] ; long i, j ; for (i = 1 ; i www.suresoft.ca /homepage/Bigint.cpp   (558 words)

determinant is either zero, negative zero or infinite for matrixReal module   (Site not responding. Last check: 2007-10-10) Hi, When I check the determinant of matrixReal module based on the data that I p rocess and the size of that matrix is 256x256. The determinant that I receiv ed is zero, negative zero or infinite. The determinant that I received is zero, neg ative zero or infinite. www.codecomments.com /message207497.html   (282 words)

V7 & higher SAS Note SN-004820: Alpha VMS incorrectly produces negative zero result On Alpha VMS, a negative zero value may be generated when the user expects a zero result. The negative zero value is not equivalent to zero. On Alpha VMS, the MERGE produces two observations because the result 0*(-1) is negative zero. www.sas.com /service/techsup/unotes/SN/004/004820.html   (178 words)

MySQL Bugs: #9037: Negative Zero Description: Suppose you are developing an application that rely essentially on the aggregation of dated transaction into monthly total amount of let's say many different accounts, I found out that some aggregation are added to "negative zero". Please notice that it is more than a cosmetic bug since whenever you use a WHERE clause with myColumn=0, the server returns only row where myColumn is "positive zero" dropping rows where myColumn is equal to "negative zero". It even considers "negative zero" to be strictly less than zero. bugs.mysql.com /bug.php?id=9037   (166 words)

The First Use of Zero and Negative Numbers This was largely because the requirement for a number "zero" was less than obvious in the context of the calculations that early man was trying to perform. Although negative numbers appear reasonably obvious to us today, they were not well-understood until modern times. As recently as the eighteenth century, the great Swiss mathematician Leonhard Euler (pronounced "Oiler" in America) believed that negative numbers were greater than infinity, and it was common practice to ignore any negative results returned by equations on the assumption that they were meaningless! www.maxmon.com /300bc.htm   (445 words)

The Tech One Database Universe - Negative Zero shows in Pivot Table but is missing in Crosstab   (Site not responding. Last check: 2007-10-10) The Tech One is a free, independent resource made available to you by a group of volunteers. Negative Zero shows in Pivot Table but is missing in Crosstab Subject: Negative Zero shows in Pivot Table but is missing in Crosstab www.thetechone.com /detail-7805096.html   (393 words)

OLEAUT32 (resend) Floating point locale, no negative zero   (Site not responding. Last check: 2007-10-10) A more recent patch I sent used GetNumberFormatW for the non-NLS case to achieve the substitution of the period for whatever the decimal separator was in the current locale. However, GetNumberFormatW() cannot do anything about the negative zero issue, so that was still handled in the VARIANT_BstrFromReal() function of vartype.c. Is it enough to handle the negative zero and the decimal separator, and use sprintfW() for the LOCALE_USE_NLS case (as the current code does), or does it have to reimplement the functionality currently delegated to GetNumberFormatW()? www.winehq.org /pipermail/wine-devel/2005-May/037144.html   (369 words)

Snap bass tabs by Negative Zero   (Site not responding. Last check: 2007-10-10) Negative Zero is a local band outa Poway, Ca. This song was created by the band Negative Zero. Negative Zero is GuitarVocals: Dan, BassVocals: Levi, and Drums: Stevo. www.platinumtabs.com /tabs/bass/Negative-Zero/Snap/100767.html   (83 words)

[exslt] min() and max() - NaN values and negative zero   (Site not responding. Last check: 2007-10-10) The spec ought really to say something about negative zero as well. If $NZ is negative zero, then $NZ<0 is false, but $NZ still collates before positive zero in xsl:sort. = min($nodes)] This has the effect that if max/min is NaN, the result will be empty, and if max/min is positive or negative zero, the result will contain all nodes that are either positive or negative zero. lists.fourthought.com /pipermail/exslt/2001-April/000051.html   (212 words)

Doubles and zero/negative zero   (Site not responding. Last check: 2007-10-10) The -0 floating point bit pattern is all 0 bits except the sign bit, which is turned on. The only time the sign of zero matters is when determining which side of 0 you're on if you're on a singularity at 0 (called a branch cut). The IEEE floating point arithmetic routines carefully keep track of -0's, but to test for it you'll need to check directly for the sign bit, which is easy enough with: #include if (signbit(x))... www.codecomments.com /message225647.html   (372 words)

V6 SAS Note: IMS engine inserts missing values as negative zero when DBFormat is RB8. V6 SAS Note: IMS engine inserts missing values as negative zero when DBFormat is RB8. IMS engine inserts missing values as negative zero when DBFormat is RB8. If the data base field is defined in the access descriptor as real binary (RB8.), then missing values are inserted as a 'negative' zero. support.sas.com /techsup/unotes/V6/6/6822.html   (192 words)

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