Timeline for What is the term for combining functions $f_1,f_2,\dots,f_n$ into a tuple $(f_1,\dots,f_n)$?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 1, 2019 at 17:19 | comment | added | Aditya Guha Roy | As a synonym you could also use bunching. | |
| Oct 8, 2015 at 16:45 | comment | added | Terry Tao | I'm accepting this answer as being (a) one with a little bit of precedent (from the n-lab), (b) a term which does not require specialised knowledge in order to understand, and (c) the most popular of the alternatives suggested here. I also like the fine distinction between the tuple $(x \mapsto f_1(x),\dots,x \mapsto f_n(x))$ of $f_1,\dots,f_n$ and the tupling $x \mapsto (f_1(x),\dots,f_n(x))$ of $f_1,\dots,f_n$; these two concepts are canonically and naturally equivalent and it is a fairly safe abuse of notation to call them both $(f_1,\dots,f_n)$, and the similar names support this. | |
| Oct 8, 2015 at 16:42 | vote | accept | Terry Tao | ||
| Oct 6, 2015 at 22:37 | comment | added | Suvrit | tupling is nice; though one could perhaps also use 'stringing' but that may strike the wrong chord.... It is also interesting to note that syntactically, 'tupling a list' as noted above, literally means 'parenthesizing' it --- the $f_i$ and the commas are already there! | |
| Oct 6, 2015 at 19:32 | history | edited | Todd Trimble | CC BY-SA 3.0 |
added further explanation
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| Oct 6, 2015 at 19:27 | comment | added | Todd Trimble | @Vectornaut I'd think if you referred to the pairing $(f_1, f_2): X \to Y_1 \times Y_2$ or $\langle f_1, f_2 \rangle: X \to Y_1 \times Y_2$, then context should usually be sufficient to disambiguate this sense of pairing from bilinear pairing, since a product $Y_1 \times Y_2$ of two rings is never a field. :-) | |
| Oct 6, 2015 at 18:47 | comment | added | Vectornaut | If the maps happen to go into a field, "pairing" has the minor misfortune of being a term one might also use to describe an inner product of $f_1$ and $f_2$. To make matters worse, come to think of it, an inner product is often denoted $(f_1, f_2)$. Fortunately, there's an easy fix: just refer to $(f_1, f_2) \colon X \to Y_1 \times Y_2$ as the tupling even when you're only tupling two things (and hope nobody adopts this terminology for multilinear functionals, I guess). | |
| Oct 6, 2015 at 18:39 | history | answered | Todd Trimble | CC BY-SA 3.0 |