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Add ids and equation numbers and fix some typos #13

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@rtoy rtoy commented Feb 3, 2020

Add equation numbers to some additional equations that seem important.

Add IDs to the different filter equations so we can link to them
easily.

rtoy and others added 4 commits February 3, 2020 13:29
Add equation numbers to some additional equations that seem important.

Add IDs to the different filter equations so we can link to them
easily.
Fix the typos:
*  Coefficients should be subscripted for BPF (constant skirt gain)
*  Remove asterisk in Eq 19 that was used originally for multiplication
*  Make outer parens bigger to show levels better

Also modified 'A*Q` to be `\[A\cdot Q\]`
@rtoy rtoy changed the title Add ids and equation numbers Add ids and equation numbers and fix some typos Jul 23, 2020
rtoy added 20 commits July 24, 2020 15:42
Forgot to fix up the coefficient names for this filter.
Quite a few places didn't use inline math for things like S and Q and
f0/Fs.  Make these inline math, as expected.

These issues were found by Robert Bristow-Johnson.
* Allow MathJax to look in code and pre tags for math.
* Change the package to tex-chtml.js; we don't really need mml output.
First, we incorrectly set the MathJax option to allow math in pre
blocks, so fix that.

Then replace <displayed-eqn> tags with <pre>.

Finally, run tidy.
Indent equations nicely to make them easier to read.

Also update .tidyrc because we don't need to tell tidy about
displayed-eqn anymore.
The MathJax docs recommend setting the viewport meta tag because
MathJax can be confused without it resulting in very small font
sizes.  Might help out on mobile devices too.
Well, looks mostly the same everywhere.  Rather arbitrarily chose
Lora because it kind of matches MathJax reasonably well. (But others
would work too, like Merriweather or EB Garamond or Vollkorn.)
The formulas for the bilinear transformation and the derivation get
numbers to make it easy to reference.
When two fractions are multiplied together, it's hard to see that
there's a gap, so it looks like just one fraction smashed together in
a funny way.  Increasing the spacing helps a little, but let's make
it more obvious by using \times to indicate that the fractions are
multiplied together.
For each filter type, there is a group of 6 equations giving the
coefficients of the filter.  Add an equation number of the group.
Didn't want to add one for each equation because that would be too
many.  And MathJax doesn't support the subequations environment so we
can't easily add a subequation (1a,1b, ect).
Add these ids so we can link to the filter coefficients from other
HTML documents.
The displayed equation for sin^2 doesn't really need to be displayed.
Making it inline doesn't harm readability so make it inline.
Robert Bristow-Johnson suggested adding me as an editor.
@svgeesus svgeesus deleted the branch shepazu:master February 2, 2021 14:50
@svgeesus svgeesus deleted the master branch February 2, 2021 14:50
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2 participants