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*To*: qrczak@xxxxxxxxxx*Subject*: Re: +nan.0 problems*From*: Aubrey Jaffer <agj@xxxxxxxxxxxx>*Date*: Sat, 22 Oct 2005 19:33:36 -0400 (EDT)*Cc*: srfi-77@xxxxxxxxxxxxxxxxx*Delivered-to*: srfi-77@xxxxxxxxxxxxxxxxx*In-reply-to*: <87zmp1tmd9.fsf@xxxxxxxxxxxxx> (qrczak@xxxxxxxxxx)*References*: <20051021145326.816C11B77BB@xxxxxxxxxxxxxxxxxxxxx> <20051021155906.GC16464@NYCMJCOWA2> <Pine.LNX.4.58.0510210910130.18969@xxxxxxxxxxxxxx> <20051022020312.GB5632@NYCMJCOWA2> <20051022163037.D2AFB1B77BB@xxxxxxxxxxxxxxxxxxxxx> <87zmp1tmd9.fsf@xxxxxxxxxxxxx>

| From: "Marcin 'Qrczak' Kowalczyk" <qrczak@xxxxxxxxxx> | Date: Sat, 22 Oct 2005 20:52:50 +0200 | | Aubrey Jaffer <agj@xxxxxxxxxxxx> writes: | | > The total order of the reals is a crucial property for many | > applications. | | It is well known that the default order on the floating point | approximation of reals is not total. From Wikipedia, the free encyclopedia. <http://en.wikipedia.org/wiki/Total_order> In mathematics, a total order, linear order or simple order on a set X is any binary relation on X that is antisymmetric, transitive, and total. This means that, if we denote the relation by <=, the following statements hold for all a, b and c in X: if a <= b and b <= a then a = b (antisymmetry) if a <= b and b <= c then a <= c (transitivity) a <= b or b <= a (totalness) Which condition does it violate?

**Follow-Ups**:**Re: +nan.0 problems***From:*Thomas Bushnell BSG

**References**:**arithmetic issues***From:*Aubrey Jaffer

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**Re: arithmetic issues***From:*John.Cowan

**+nan.0 problems***From:*Aubrey Jaffer

**Re: +nan.0 problems***From:*Marcin 'Qrczak' Kowalczyk

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