Definition of the term "limit"

[MURATA Makoto]

We abuse the word "limit".  In a LaTex expression $\bigcup_i$,
i has nothing to do with convergence.  But in the OOXML
terminology, it is a limit.  The definition by Francis exactly
captures the OOXML terminology.

Regards,
Makoto

2018-04-06 20:48 GMT+09:00 Francis Cave <francis at franciscave.com>:

> Charlie, I did wonder about this, but I think we need to define the term
> 'limit' so that it makes sense in the various contexts in which it is used
> throughout the spec. Murata-san has highlighted the problem with trying to
> use the term in its mathematical sense, in that, strictly speaking, it is
> the wrong term to use when the operation is over a set, such as in unions
> and intersections.
>
> Francis
>
>
>
> -----Original Message-----
> From: Charlie Clark <charlie.clark at clark-consulting.eu>
> Sent: 06 April 2018 11:20
> To: SC 34/WG 4 mailing list <e-SC34-WG4 at ecma-international.org>
> Subject: Re: Definition of the term "limit"
>
> Am .04.2018, 18:38 Uhr, schrieb Francis Cave <francis at franciscave.com>:
>
> > limit – In a mathematical equation, an expression in reduced-size text
> > in a high position (for which the term “upper limit” is used) or low
> > position (for which the term “lower limit” is used) relative to either
> > an n-ary operator or text on the baseline of the expression. See n-ary
> > operator for examples of limits in both high and low positions
> > relative to a summation sign operator.
>
> I wonder if we can't borrow something from the glossary of a maths text
> book? Unfortunately I don't have one to hand…
>
> Charlie
> --
> Charlie Clark
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>


-- 

Praying for the victims of the Japan Tohoku earthquake

Makoto
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