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Re: Expressions with ellipsis (...)
*To*: mathgroup at smc.vnet.net
*Subject*: [mg93303] Re: Expressions with ellipsis (...)
*From*: Bill Rowe <readnews at sbcglobal.net>
*Date*: Mon, 3 Nov 2008 05:27:21 -0500 (EST)
On 11/2/08 at 1:58 AM, siegman at stanford.edu (AES) wrote:
>In article <geh9sa$fbs$1 at smc.vnet.net>, dch888
><dch888 at googlemail.com> wrote:
>>>Another answer is that Mathematica *should* understand the syntax
>>>with ellipsis-- and indeed it can with the facilities of David
>>>Park's Presentations application package.
>One has to be careful about the use and interpretation of ellipses.
>For example the Mathematica documentation for Compound Expression
>says that
>expr_1 ; expr_2 ; =C2=8A evaluates the expr_i in turn, giving the last
>one as the result.
>Would this statement, interpreted very literally using a precise
>definition of the ellipsis symbol, cover both
>expr_1 ; expr_2 ; expr_3 ; expr_4 ;
>and
>expr_1 ; expr_2 ; expr_3 ; expr_4
>or just one of these? (Which one?)
If an ellipsis were a symbol Mathematica understood and could be
used to replace some of the parts in your examples, I would
expect your first example to be written
expr_1 ; ... expr_4 ;
and your second example to be written as
expr_1 ; ... expr_4
So there would be no ambiguity.
But I doubt even if Mathematica understood an ellipsis, these
would be allowed constructs. Consider a rather simple usage of
the ellipsis in mathematics, i.e.,
1+2+3+ ... +10+11+12
or
1,2,3, ... 12
The first would be interpreted as the sum of the first 12
natural numbers and the second a list of the first 12 natural
numbers. Neither is really a sequence of expressions as is the
case for your examples.
>_Is there_ a precise definition of the ellipsis symbol? (in English,
>or in Mathematica)
Certainly, there is a definition in English. But precision isn't
well defined when it comes to English definitions. As for
Mathematica, there should be no expectation of a definition
other than the English definition since this isn't allowed
Mathematica syntax.
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