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*To*: Alex Shinn <alexshinn@x>*Subject*: Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0*From*: Mark H Weaver <mhw@x>*Date*: Sat, 22 Dec 2012 00:58:56 -0500*Cc*: John Cowan <cowan@x>, scheme-reports <scheme-reports@x>*In-reply-to*: <CAMMPzYOtVMoyiE=ToLHvmNf=Lbq_FOE9v9CcrZoBrcdB_mnoVQ@mail.gmail.com> (Alex Shinn's message of "Sat, 22 Dec 2012 11:44:48 +0900")*References*: <87bodu4r0r.fsf@tines.lan> <20121216041031.GE10312@mercury.ccil.org> <87pq25yh5s.fsf@tines.lan> <20121219221955.GH4477@mercury.ccil.org> <87d2y5y6fb.fsf@tines.lan> <20121221055315.GB28661@mercury.ccil.org> <87y5grsrvm.fsf@tines.lan> <CAMMPzYMQVzkQFLsgcYAWZaFO__Y13T_kOXD+CrLqVXPQOcjXGw@mail.gmail.com> <20121221171601.GC23915@mercury.ccil.org> <CAMMPzYO5m64sWGQT2b7SSPbm=zRbVT4oEx8E-DoLLATNZxtj_w@mail.gmail.com> <20121222024255.GH8521@mercury.ccil.org> <CAMMPzYOtVMoyiE=ToLHvmNf=Lbq_FOE9v9CcrZoBrcdB_mnoVQ@mail.gmail.com>

Alex Shinn <alexshinn@x> writes: > On Sat, Dec 22, 2012 at 11:42 AM, John Cowan <cowan@x> > wrote: > > > I think any slow-down is better than giving the wrong answer, > > That's what exact arithmetic is for. > > Exact arithmetic can run out of memory. So can your proposed inexacts. In order to avoid underflow and overflow, the number of representable values cannot be finite, because there can be no maximum or minimum representable magnitude. Therefore the amount of memory needed to represent your numbers is unbounded. No matter how clever your compression method is, that fact is unavoidable. Mark _______________________________________________ Scheme-reports mailing list Scheme-reports@x http://lists.scheme-reports.org/cgi-bin/mailman/listinfo/scheme-reports

**Follow-Ups**:**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*Alex Shinn <alexshinn@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*John Cowan <cowan@x>

**References**:**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*Mark H Weaver <mhw@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*John Cowan <cowan@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*Mark H Weaver <mhw@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*John Cowan <cowan@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*Mark H Weaver <mhw@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*John Cowan <cowan@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*Mark H Weaver <mhw@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*Alex Shinn <alexshinn@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*John Cowan <cowan@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*Alex Shinn <alexshinn@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*John Cowan <cowan@x>

**Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0***From:*Alex Shinn <alexshinn@x>

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