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Discussion of "pi'u'e"
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Comment #1:
Utility
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Curtis W Franks (Wed Nov 22 07:50:27 2023)
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This word functions as "⋅" herein:
Operator
⋅ : S×S→S×S, such that
(a, b)  (a,
b).
In other words:
a⋅b = (a, b).
Then, make such operator a big operator.
This then allows one to generate tuples of arbitrary size without
"...". For example:
(x1, x2,..., xn) is ambiguous because the rule of construction is
not specified and the ellipsis relies on intuition but is not technically
defined, whereas
×i∈
1, n
∩ Z$">(xi) is not
ambiguous. It also allows for extension to infinitely many terms via an
explicitly defined formula.
English mathematical writing usually lacks this degree of clarity.
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Comment #2:
Re: Utility
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Curtis W Franks (Wed Nov 22 07:51:27 2023)
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krtisfranks wrote:
> This word functions as "⋅" herein:
>
> Operator
⋅ : S×S→S×S, such that
(a, b)  (a,
> b).
> In other words:
a⋅b = (a, b).
>
> Then, make such operator a big operator.
>
> This then allows one to generate tuples of arbitrary size without
> "...". For example:
>
(x1, x2,..., xn) is ambiguous because the rule of construction
is
> not specified and the ellipsis relies on intuition but is not
technically
> defined, whereas
×i∈
1, n
∩ Z$">(xi) is not
> ambiguous. It also allows for extension to infinitely many terms via an
> explicitly defined formula.
>
> English mathematical writing usually lacks this degree of clarity.
Ah, none of the math writing is rendering. I will try to fix this later.
For now, click "reply" in order to see the TeX version.
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