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Date: Sun, 24 Jun 2012 08:27:40 -0600
Message-ID: <CAMKwHj3aKi-i1ctjZ1ds1tinSFgzLxCzobxAyiRzrjOqBmpowg@mail.gmail.com>
Subject: Re: [lojban] Re: Are Natlang the best case for entropy in
 communication ?
From: Jonathan Jones <eyeonus@gmail.com>
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That's not evidence.

/ignore

On Sun, Jun 24, 2012 at 8:25 AM, Escape Landsome <escaaape@gmail.com> wrote:

> * NUMERICAL ESTIMATE OF ENTROPY IN EXAMPLE (1) :
>
> For instance in French : << et alors elle a ouvert la mouche pour
> parler >> is correctly understood as << la bouche >> instead of << la
> mouche >>.   Still the set X of all possible choices is big : X = {
> bouche, couche, douche, louche, mouche, souche, touche }
>
>  But the context prevents other Xouche words than body organs to be
> selected, so the entropy is very low in context.
>
> p(bouche) > 0.9, sum p(Xouche) < 0.1 for other X, since worst case is
> equiprobability for all those,
>
> S(example 1) < -(0.9*log_2(0.9) + 6*0.1*log_2(0.1)) = 2.129
>
>
> * NUMERICAL ESTIMATE OF ENTROPY IN EXAMPLE (2) :
>
>
> Now consider a lojban sentence where somebody would talk of a number
> of people in a room, he would use so'V but would mistype the V letter.
>
> The X set has 5 elements but none of them can be best selected given
> the context.
>
> THEN S(example 2) ~ -5*log_2(0.2) = 11.609
>
>
> * 11.609 IS MUCH BIGGER THAN 2.129
>
> --
> You received this message because you are subscribed to the Google Groups
> "lojban" group.
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> http://groups.google.com/group/lojban?hl=en.
>
>


-- 
mu'o mi'e .aionys.

.i.e'ucai ko cmima lo pilno be denpa bu .i doi.luk. mi patfu do zo'o
(Come to the Dot Side! Luke, I am your father. :D )

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--e89a8f2348b3f8ba0204c338aa4e
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Content-Transfer-Encoding: quoted-printable

That&#39;s not evidence.<br><br>/ignore<br><br><div class=3D"gmail_quote">O=
n Sun, Jun 24, 2012 at 8:25 AM, Escape Landsome <span dir=3D"ltr">&lt;<a hr=
ef=3D"mailto:escaaape@gmail.com" target=3D"_blank">escaaape@gmail.com</a>&g=
t;</span> wrote:<br>
<blockquote class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1p=
x #ccc solid;padding-left:1ex">* NUMERICAL ESTIMATE OF ENTROPY IN EXAMPLE (=
1) :<br>
<div class=3D"im"><br>
For instance in French : &lt;&lt; et alors elle a ouvert la mouche pour<br>
parler &gt;&gt; is correctly understood as &lt;&lt; la bouche &gt;&gt; inst=
ead of &lt;&lt; la<br>
mouche &gt;&gt;. =A0 Still the set X of all possible choices is big : X =3D=
 {<br>
bouche, couche, douche, louche, mouche, souche, touche }<br>
<br>
=A0But the context prevents other Xouche words than body organs to be<br>
selected, so the entropy is very low in context.<br>
<br>
</div>p(bouche) &gt; 0.9, sum p(Xouche) &lt; 0.1 for other X, since worst c=
ase is<br>
equiprobability for all those,<br>
<br>
S(example 1) &lt; -(0.9*log_2(0.9) + 6*0.1*log_2(0.1)) =3D 2.129<br>
<br>
<br>
* NUMERICAL ESTIMATE OF ENTROPY IN EXAMPLE (2) :<br>
<div class=3D"im"><br>
<br>
Now consider a lojban sentence where somebody would talk of a number<br>
of people in a room, he would use so&#39;V but would mistype the V letter.<=
br>
<br>
The X set has 5 elements but none of them can be best selected given<br>
the context.<br>
<br>
</div>THEN S(example 2) ~ -5*log_2(0.2) =3D 11.609<br>
<br>
<br>
* 11.609 IS MUCH BIGGER THAN 2.129<br>
<div class=3D"HOEnZb"><div class=3D"h5"><br>
--<br>
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quot;lojban&quot; group.<br>
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roup/lojban?hl=3Den" target=3D"_blank">http://groups.google.com/group/lojba=
n?hl=3Den</a>.<br>
<br>
</div></div></blockquote></div><br><br clear=3D"all"><br>-- <br>mu&#39;o mi=
&#39;e .aionys.<br><br>.i.e&#39;ucai ko cmima lo pilno be denpa bu .i doi.l=
uk. mi patfu do zo&#39;o<br>(Come to the Dot Side! Luke, I am your father. =
:D )<br>
<br>

<p></p>

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?hl=3Den.<br />



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