

--------------------John Ewing's Reply---------------------------
From JHE@MATH.AMS.ORG Wed Jan 15 15:57:35 1997
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Date: Wed, 15 Jan 1997 10:56:59 -0500 (EST)
From: "John Ewing, Exec Dir" <JHE@MATH.AMS.ORG>
Subject: Re:  Please save the honor of Shalosh B. Ekhad
In-reply-to: <199701131347.IAA21775@euclid.math.temple.edu>
To: Doron Zeilberger <zeilberg@euclid.math.temple.edu>
Cc: JHE@MATH.AMS.ORG, rkd@MATH.AMS.ORG, jek@MATH.AMS.ORG, dgb@MATH.AMS.ORG
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Dear Doron:

This one may get complicated. Here goes.

First, we all COMPLETELY agree that in an electronic age, errata ought 
to go up as soon as possible, and be immediately apparent to any 
reader at the location of the error. So when mistakes are discovered in 
MathSciNet --- the web version of Math Reviews --- it is our policy to 
immediately make the correction and post it, side-by-side with the original 
mistake (which is kept for the sake of good scholarship).

Here is the entry in MathSciNet for the Ekhad review you mentioned:

TEXT OF REVIEW ON MATHSCINET:
************************************
Dixon's theorem (as stated) provides a symmetric-type series 
representation for the multinomial coefficient $(n+b+c;n,b,c)=R(n)$. The 
author attempts to give a very short and very elementary proof by means 
of the principle of mathematical induction. After introducing some 
special symbols, he states "since the theorem is obviously true for 
$n=0$, it would follow by induction once we show that $(n+1)R(n+1)-
(n+b+c+1)R(n) \equiv0$". But this identity is an immediate consequence 
of the definition for $R(n)$, and hence the "proof" lacks validity. 

ERRATUM: In this paper $R(n)$ is defined to be the sum on the left-hand 
side of Dixon's identity and not, as is stated in the review, the 
multinomial coefficient. The method and proof used in the paper are 
valid. 

Reviewed by Gloria Olive 

{For errata and/or addenda to the original MR item see MR 91m Errata and 
Addenda in the paper version}
************************************

And for all mathematicians who access MathSciNet, this is exactly what 
they see.

The CONFUSION arises because we have offered Math Reviews in several 
formats, some of which appear to be web services but in reality are not. 
Of course, we have offered Math Reviews on compact disk, and we still do 
offer it that way. Making corrections on a disk are essentially as 
difficult at making them on paper; we can only publish the errata and 
point to the mistake after it has been made.

More difficult is the case of DIALOG, which is an electronic service to 
which we give the right to sell information from our database. 
		Dialog is NOT MathSciNet.
Indeed, it is not a part of the AMS in any sense, but rather a service
provided to libraries and scholars. We provide the Math Reviews
database to them on tape; they load it onto their computers; and we
provide regular updates --- much the same as one provides paper
volumes of Math Reviews to a library. They can ADD to their database,
but not easily modify it. At the moment, in order to change a piece of
data in that database, the entire database must be reloaded --- which
requires many hours and a great deal of work. We have discussed ways
in which to modify the database, but this would require a large and
expensive effort, that ultimately would have to be agreed to by both
Dialog and the AMS.

For MathSciNet (http://e-math.ams.org/msnprhtml/review_search.html), 
which is available over the web, and provided from our own web servers, 
we have complete control. We put in place a procedure for changing the 
database when corrections are necessary. That procedure does not require 
reloading the entire database (a project that requires nearly a day, by 
the way), and it is a part of the normal daily updates. 

Here is a summary: For paper, CD-Rom, and Dialog, we have no good way to 
make corrections to the data so that users are immediately aware of the 
corrections. Corrections are made, of course, but not in a way that 
makes them clear AT THE POINT OF ERROR. For MathSciNet (our web 
version), it is our policy to make corrections immediately and visibly, 
usually on the day after they are discovered.

The fact is that MOST users of the electronic version of Math Reviews 
use MathSciNet; only a small number use Dialog. Indeed, the problem you 
mention is one reason we are not happy about the continued use of 
Dialog, but it serves a small segment of the community and so we believe 
it is better to leave it in place until we find a better alternative. In 
the meantime, although the problem of not being able to make corrections 
affects only a small number of users, I agree that it is a serious one. 
We'd like to be able to make corrections on ALL versions of Math Reviews 
in the same way we make them on MathSciNet, and we'll keep looking from 
better ways to do so.

Of course, the problem is solved if everyone switches to MathSciNet --- 
which is a pretty good product, and which is spreading rapidly. 

Complicated? Sure . . . and not entirely satisfactory, I know. But I'd 
say that 95% of your solution to the problem is already implemented, as 
a regular feature of MathSciNet. We'll keep thinking about the other 5%, 
however, and try to find a cost effective way to implement it.

John


  -----------------------------
   John Ewing, Amer Math Soc   
   ewing@ams.org  401-455-4100 
  -----------------------------


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