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*To*: Mark H Weaver <mhw@x>*Subject*: Re: [Scheme-reports] Strong win later reversed: Real numbers have imaginary part #e0*From*: Alex Shinn <alexshinn@x>*Date*: Sat, 22 Dec 2012 15:17:14 +0900*Cc*: John Cowan <cowan@x>, scheme-reports <scheme-reports@x>*In-reply-to*: <87licqr5jz.fsf@tines.lan>*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> <87licqr5jz.fsf@tines.lan>

On Sat, Dec 22, 2012 at 2:58 PM, Mark H Weaver <mhw@x> wrote:

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,So can your proposed inexacts. In order to avoid underflow and

>

> That's what exact arithmetic is for.

>

> Exact arithmetic can run out of memory.

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.

It's not a compression technique, and the amount of

memory is in practice bounded by the limitations of

computation.

--

Alex

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

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

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