Re: Bug in Sum causes index variable to remain set?

• To: mathgroup at smc.vnet.net
• Subject: [mg33896] Re: [mg33838] Bug in Sum causes index variable to remain set?
• From: Andrzej Kozlowski <andrzej at platon.c.u-tokyo.ac.jp>
• Date: Sun, 21 Apr 2002 06:14:40 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```I don't know whether this is a bug or not, and it seems to me that this
is just the sort of situation where we lack a clear definition of what
constitutes a bug (Behaviour undesirable to some users? Unintended
undesirable behaviour? Easily avoidable undesirable behaviour?).
However, I can point out that this behaviour is a universal feature of
Mathematica design in analogous cases. The same thing will happen if you
replace Sum by Product, Table or Do.  Integrate is not a good example
because it does not assign values to the variable of integration (it
just finds the antiderivative and evaluate limits). NIntegrate would
have been a better example, but it actually also does not make
assignments to an iterator. So bug or not it seems to be a feature
(feature!) of  Mathematica"s design, more precisely of the way
Matheamtica uses iterators.

Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/

On Friday, April 19, 2002, at 03:28  PM, Martin Jenkins wrote:

>
> Hello, I have found what appears to be a bug in Sum in Mathematica 4.0.
> I stumbled across is trying to sum an expression with subscripts.
> Anyway:
>
> In[1]:= n = 1;
>
> In[2]:= Sum[1, {f[x, 1], 1, 3}]
> Out[2]= 3
> In[3]:= ?f
> In[4]:= Sum[1, {f[x, n], 1, 3}]
> Out[4]= 3
> In[5]:= ?f
>
> In[6]:= Clear[f];
> In[7]:= Sum[1, {f[x, 1*1], 1, 3}]
> Out[7]= 3
> In[8]:= ?f
>
> The way that f gets set by the Sum to the final value is a bug is it
> not?  I would guess that Sum unsets the literal expression f[x, n] or
> f[x, 1*1], rather than exactly what it set in the first place.  I can
> get around this by f[x,n]=. whenever I use it... but I would rather
> not have a line with a comment saying "Mathematica bug work-around".
> Integrate works fine under similar circumstances.
>
> Thanks,
> Martin
>
>
>
>

```

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