 Home
 Get A Printable Dictionary
 Search Best Words
 Recent Changes
 How You Can Help
 valsi  All
 valsi  Preferred Only
 natlang  All
 natlang  Preferred Only
 Languages
 XML Export
 user Listing
 Report Bugs
 Utilities
 Status
 Help
 Admin Request
 Create Account

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×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.




