# Re: [EXTERNAL] Some braille references

Here's a quick link into Wikipedia to ground Bill's example into a
specific expression ( \int_U ω ):

https://en.wikipedia.org/wiki/Differential_form#Integration_on_Euclidean_space

It appears that the study of differential forms is another good
illustration where the requirements of formal Content MathML would go
beyond the needs for accessibility. Whether an mi "d" is a
"differential of a function" or the more general "exterior derivative
operator" is certainly important mathematically, but it's written the
same - and as a baseline AT remediation - narrated the same.
_Computing_ with differential forms would take a lot more work to
formalize than _communicating_ them via AT tools.

On an semi-related note I wonder how mathematicians speak out the
wedge product when reading a form such as "dx ∧dy ". ... a brief
search later, at least one lecturer speaks it presentationally - just
"wedge". I added a speech hint to my level 3 list to bookkeep that.
https://youtu.be/z2yRiMg92S0?list=PL22w63XsKjqzQZtDZO_9s2HEMRJnaOTX7&t=92

Greetings,
Deyan

On Wed, Jul 7, 2021 at 2:53 PM Hammond, William F <whammond@albany.edu> wrote:
>
> (Sorry for having to top post from a lame interface.)
>
> I am not read into the Braille context, but:
>
> Neil writes:
>
> In the pearson symbol site, it says this about integrals:
>
> The integral, or indefinite integral, starts with the integral sign (dots 2-3-4-6). Then it is followed by the function and ends with dx.
>
>
> I'm dubious about this statement -- what happens when the 'dx' is in the numerator? . . .
>
>
> FWIW: There are mathematical contexts where no 'd' (as differential operator) would appear in an integral, e.g.,
> where the integral is applied to a symbol defined elsewhere that is a differential form (of some degree, possibly different from 1) and, in particular, in the integral of a differential 0-form.
>
>              -- Bill
>
> ________________________________
> From: Neil Soiffer <soiffer@alum.mit.edu>
> Sent: Tuesday, July 6, 2021 11:55 AM
> To: Louis Maher <ljmaher03@outlook.com>
> Cc: Murray Sargent <murrays@exchange.microsoft.com>; www-math@w3.org <www-math@w3.org>
> Subject: Re: [EXTERNAL] Some braille references
>
> In the pearson symbol site, it says this about integrals:
>
> The integral, or indefinite integral, starts with the integral sign (dots 2-3-4-6). Then it is followed by the function and ends with dx.
>
>
> I'm dubious about this statement -- what happens when the 'dx' is in the numerator? I looked in the green book, and in the section about integrals, it only has examples where the 'dx' is at the end (also true for the APH tutorial). Does anyone who knows Nemeth well know the answer?
>
> Another practical bit I liked from that talk was a short description of "common issues in Nemeth code transcriptions" from a practitioner writing such materials
>
>
> Interesting to see that she highlights the parts that I called out in my original email (makes me feel like I know more than I do :-)
>
>    Neil
>


Received on Wednesday, 7 July 2021 19:24:33 UTC