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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×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:
(x_{1}, x_{2},..., x_{n}) 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$">(x_{i}) 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: >
(x_{1}, x_{2},..., x_{n}) 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$">(x_{i}) 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.




