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Re: Number Interpretation

• To: mathgroup at smc.vnet.net
• Subject: [mg132186] Re: Number Interpretation
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Sun, 12 Jan 2014 02:32:23 -0500 (EST)
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• Delivered-to: l-mathgroup@wolfram.com
• Delivered-to: mathgroup-outx@smc.vnet.net
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• References: <20140111073651.B7B4F6A06@smc.vnet.net>

{{0, 1 + 0 + I}, {5/1000,
 0.9999999999847721045042438122431718714655894269990365019598`25.\
150514997825 375 +
 1.25519569527802613824942268491956207005033965921776`17.249226438990693*^-\
8 i}, {1/100,
 0.9999999999393759746787299815680269036853709212503710127799`25.\
150514997805 658 +
 2.51024422432507546938405480766746430636843824469906`17.550230974339705*^-\
8 i}}


{{0, 1 + I}, {1/200,
     374.999999994289539189091429\
    5911894517995960351246386882349\
    27`25.150514997825 +
       1.2551956952780261382494226\
     849195620700503396592178`17.249\
      226438990693*^-8*i},
   {1/100,
  657.99999996010939133\
    8604327871761702624974066182744\
    126409151`25.150514997805 +
       2.5102442243250754693840548\
     076674643063684382446991`17.550\
      230974339705*^-8*i}}


If these do not automatically simplify (evaluate) as above then you are
looking at a string or a list of strings. Convert with ToExpression:


ToExpression["{0,1+0+I}"]


{0, 1 + I}


The number after the number mark ( ` ) indicates the precision (number of
digits) and by default is shown in InputForm.


N[1/3, 25]


0.3333333333333333333333333


% // InputForm


0.33333333333333333333333333333\
3333333333333333333333333333`25.


*^n is shorthand for *10^n


1*^-4


1/10000



Bob Hanlon




On Sat, Jan 11, 2014 at 2:36 AM, Fred Najmy <fnajmy at gmail.com> wrote:

> I am reviewing a Mathematica .nbp file that has the following:
> {{0, 1 + 0 + I}, {5 / 1000,
> 0.9999999999847721045042438122431718714655894269990365019598`25.150514997825
> \
> 375 +
> 1.25519569527802613824942268491956207005033965921776`17.249226438990693*^-8
> i}, {1 / 100,
> 0.9999999999393759746787299815680269036853709212503710127799`25.150514997805
> \
> 658 +
> 2.51024422432507546938405480766746430636843824469906`17.550230974339705*^-8
> i},      <===== This continues for many lines.
>
> How do I interpret the following numbers?
>
> {0, 1 + 0 + I}
>
> 0.9999999999393759746787299815680269036853709212503710127799`25.150514997805
> \
> 658 +
> 2.51024422432507546938405480766746430636843824469906`17.550230974339705*^-8
> i}
>
>

• References:
  • Number Interpretation
    • From: Fred Najmy <fnajmy@gmail.com>