Talk:Fokker block: Difference between revisions
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:: I believe Inthar proposed a different problem though. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 16:07, 16 January 2021 (UTC) | :: I believe Inthar proposed a different problem though. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 16:07, 16 January 2021 (UTC) | ||
::: Flora, do you feel able to explain some of the mathematics in the wiki to a non-mathematician audience. For instance, what does ''[[wedgie]]'' mean? I tried to read about wedge products but finally gave up. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 11:37, 17 January 2021 (UTC) | |||
Revision as of 11:37, 17 January 2021
Math styles
This is what I'm sticking to:
- Matrices should be uppercase and roman, e.g. V.
- Vectors or matrix rows should be roman, e.g. v.
- Scalar variables or matrix/vector entries should be italic, e.g. n.
- Letter-denoted functions should generally be italic, e.g. f (x), except when interpreted as vectors, e.g. v (c).
- Word-denoted functions should be roman, e.g. log (x).
- Use
<math>for "newline math" (in contrast to inline math).
Good enough?
And btw, is there a reason for the S[i] to have brackets instead of parentheses? FloraC (talk) 10:28, 15 January 2021 (UTC)
- @FloraC: Yes it looks better in the rendered HTML page, but it looks worse in wikitext because it's to much control chars (ticks and tags) between the meaningful content. As I know, math can be configured to use text output for simple formatting. (Another option would be to roll our own template, module whatever to transform
^and_insupandsubtags.) For example, here is what I see in the first paragraph of the current version of section "Second definition of a Fokker block":
Let us define a new set of vals by u<sub>''k''</sub> = ''P''v<sub>''k''</sub> - v<sub>''k''</sub> (2) v<sub>''n''</sub>. To apply these vals
to S[''i''], note first that floor ((''e''<sub>''n''</sub>''i'' + ''a''<sub>''n''</sub>)/''P'') = floor (''i'' + ''a''<sub>''n''</sub>/''P'')
= ''i'', so that v<sub>''n''</sub> (S[''i'']) = ''i''. Hence u<sub>''n''</sub> (S[''i'']) = ''P''v<sub>''n''</sub> - v<sub>''n''</sub> (2)
v<sub>''n''</sub> = 0, while for ''k'' < ''n'', u<sub>''k''</sub> (S[''i'']) = ''P''v<sub>''k''</sub>(S[''i'']) - v<sub>''k''</sub> (2)
''i''. Since ''x'' - 1 < floor(''x'') ≤ ''x'', we have (''e''<sub>''k''</sub>''i'' + ''a''<sub>''k''</sub>)/''P'' - 1 < floor
((''e''<sub>''k''</sub>''i'' + ''a''<sub>''k''</sub>)/''P'') ≤ (''e''<sub>''k''</sub>''i'' + ''a''<sub>''k''</sub>)/''P'', so that
''e''<sub>''k''</sub>''i'' + ''a''<sub>''k''</sub> - ''P'' < ''P''v<sub>''k''</sub> (S[''i'']) ≤ ''e''<sub>''k''</sub>''i'' +
''a''<sub>''k''</sub>. Since ''e''<sub>''k''</sub> = v<sub>''k''</sub> (2), this gives us ''a''<sub>''k''</sub> - ''P'' <
u<sub>''k''</sub> (S[''i'']) ≤ ''a''<sub>''k''</sub>. This means that for each of the vals u<sub>''k''</sub>, the scale is mapped to a set of
''P'' integers.
- I hope you see my point. Maybe this is exactly what Inthar expresses in the proposal Xenharmonic Wiki:Things to do#Improve accessibility of wiki and present info in a non-technical way (BTW: I'm sure we need a shortcut for this, let's try Xenwiki:Accessibility). --Xenwolf (talk) 12:39, 16 January 2021 (UTC)
- Yeah and it was super tedious to work on, and hopefully no one is gonna work on it anymore. I'm considering using more newline maths.