Re: A question about Axiom capabilities

Mike Valenzuela <[email protected]> Wed, 27 Feb 2013 00:01:24 -0700
Newsgroups gmane.comp.mathematics.axiom.user
Message-ID <CABhj+WxYvJuf2ePxhubX_jJkUAHYgnKkfAQVG4O=Yzjq9i1o4A@mail.gmail.com>
--===============6303067201589581142==
Content-Type: multipart/alternative; boundary=047d7b6dc43ca718a904d6af5769

--047d7b6dc43ca718a904d6af5769
Content-Type: text/plain; charset=ISO-8859-1

One other note - I forgot a logarithm in my example:

D( ln( sum(p[k]*multivariate_normal(mu[k], Sigma), k) ) --> ...


On Tue, Feb 26, 2013 at 8:39 PM, Mike Valenzuela <[email protected]>wrote:

> The Matrix Cookbook is available online at:
> http://orion.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf
>
> It is simply a collection of matrix properties which are proved elsewhere.
> I have done enough matrix calculus to know a basic approach (very similar
> to the derivatives for indexed tensors in Maxima) if it has to be
> implemented. The single entry matrix is sort of a generalization of the
> Kronecker delta function used in matrix calculus.
>
>
> On Tue, Feb 26, 2013 at 6:25 PM, u1204 <[email protected]> wrote:
>
>> Mike,
>>
>> These are interesting ideas but I don't know how to do what you
>> want in the current version of Axiom.
>>
>> Where is this "Matrix Cookbook" you mention?
>>
>> Tim Daly
>>
>
>

--047d7b6dc43ca718a904d6af5769
Content-Type: text/html; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable

One other note - I forgot a=A0logarithm=A0in my example:<div><br></div><div=
>D( ln( sum(p[k]*multivariate_normal(mu[k], Sigma), k) ) --&gt; ...</div><d=
iv><br><br><div class=3D"gmail_quote">On Tue, Feb 26, 2013 at 8:39 PM, Mike=
 Valenzuela <span dir=3D"ltr">&lt;<a href=3D"mailto:[email protected]"=
 target=3D"_blank">[email protected]</a>&gt;</span> wrote:<br>
<blockquote class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1p=
x #ccc solid;padding-left:1ex">The Matrix Cookbook is available online at:=
=A0<a href=3D"http://orion.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf" targe=
t=3D"_blank">http://orion.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf</a><div=
>
<br></div><div>It is simply a collection of matrix properties which are pro=
ved elsewhere. I have done enough matrix calculus to know a basic approach =
(very similar to the derivatives for indexed tensors in Maxima) if it has t=
o be implemented. The single entry matrix is sort of a generalization of th=
e Kronecker delta function used in matrix calculus.<div>
<div class=3D"h5"><br>
<br><div class=3D"gmail_quote">On Tue, Feb 26, 2013 at 6:25 PM, u1204 <span=
 dir=3D"ltr">&lt;<a href=3D"mailto:[email protected]" target=3D"_bla=
nk">[email protected]</a>&gt;</span> wrote:<br><blockquote class=3D"=
gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-=
left:1ex">

Mike,<br>
<br>
These are interesting ideas but I don&#39;t know how to do what you<br>
want in the current version of Axiom.<br>
<br>
Where is this &quot;Matrix Cookbook&quot; you mention?<br>
<br>
Tim Daly<br>
</blockquote></div><br></div></div></div>
</blockquote></div><br></div>

--047d7b6dc43ca718a904d6af5769--


--===============6303067201589581142==
Content-Type: text/plain; charset="us-ascii"
MIME-Version: 1.0
Content-Transfer-Encoding: 7bit
Content-Disposition: inline

_______________________________________________
Axiom-mail mailing list
[email protected]
https://lists.nongnu.org/mailman/listinfo/axiom-mail

--===============6303067201589581142==--