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Discussion of "pi'u'e"
[parent] [root]
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) (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

Z$">(xi) is not ambiguous. It also allows for extension to infinitely many terms via an explicitly defined formula. English mathematical writing usually lacks this degree of clarity.  Comment #2: Re: Utility Curtis W Franks (Wed Nov 22 07:51:27 2023) krtisfranks wrote:> This word functions as "⋅" herein:> > Operator ⋅ : S×S→S×S, such that (a, b) (a, > b).> In other words: a⋅b = (a, b).> > Then, make such operator a big operator.> > This then allows one to generate tuples of arbitrary size without> "...". For example:> (x1, x2,..., xn) is ambiguous because the rule of constructionis> not specified and the ellipsis relies on intuition but is nottechnically> defined, whereas ×i∈ 1, n ∩Z$">(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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