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Discussion of "pi'u'e"

Comment #1: Utility
Curtis W Franks (Wed Nov 22 07:50:27 2023)

This word functions as "" herein:

Operator ⋅ : S×SS×S, such that (a, b) $\mapsto$ (a,
b
)
.
In other words: ab = (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

$\scriptstyle \mathbb <a class=Z$">(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.

Comment #2: Re: Utility
Curtis W Franks (Wed Nov 22 07:51:27 2023)

krtisfranks wrote:
> This word functions as "" herein:
>
> Operator ⋅ : S×SS×S, such that (a, b) $\mapsto$ (a,
> b)
.
> In other words: ab = (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

$\scriptstyle \mathbb <a class=Z$">(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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