[BlindMath] Learning High School Math

[Steve Jacobson]

Kevin,

Have you or others here  worked with the math editor that is part of the latest versions of JAWS and Microsoft Word?  I am not an expert regarding some of these approaches, but I thought the approach was interesting.  Nemeth Code can be entered on a braille display and converted into the Equation Editor in Word.  The equation editor content can now be reviewed by JAWS as well.  To be clear, this assumes a fairly current version of Word and JAWS versions after May of 2021 and is not a general approach.

Best regards,

Steve Jacobson

-----Original Message-----
From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Kevin Fjelsted via BlindMath
Sent: Monday, July 26, 2021 9:42 AM
To: Blind Math list for those interested in mathematics <blindmath at nfbnet.org>
Cc: Kevin Fjelsted <kfjelsted at gmail.com>; Louis Maher <ljmaher03 at outlook.com>
Subject: Re: [BlindMath] Learning High School Math

If the goal is writing math equations Markdown is not really set up very well for that. Even if there are some math extensions they are not standard and thus not included in the language. 

If the goal for reading equations is Braille then Latex-Access is the best solution however it take a bit of work to set it up correctly.

https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Flatex-access.sourceforge.net%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977787350%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=lihVcirLOpKDQUt%2BM706x1Eli8jWDhUbZY0cYZPsWr4%3D&reserved=0
If the goal is to create math equations that can be printed out in the best format for sighted reading such as to hand in to a teacher than Latex is absolutely the best approach. 

> On Jul 26, 2021, at 7:26 AM, Traci W via BlindMath <blindmath at nfbnet.org> wrote:
> 
> I was doing some YouTube searching this am. And found this video. There is
> a comment about markdown working better than Latex for screenreaders. Any
> input?
> 
> https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fyoutu.be%2FbqHNpNLa7ew&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977787350%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=psjkk4erhTCnFERd0EePoYxkaY%2FEdfOUBpLXSrK3z0c%3D&reserved=0
> 
> 
> Traci
> 
> 
> On Sun, Jul 25, 2021 at 10:43 PM Traci W <traci.mwd at gmail.com> wrote:
> 
>> Ok. We use 365 so I will try to tell it to install the 33 bit version!
>> 
>> Thanks for the Notepad info too. My kids used Notepad++ at a Cyber camp
>> and liked it!
>> 
>> Traci
>> 
>> On Sun, Jul 25, 2021 at 10:32 PM Shail M <momdadofarushi at hotmail.com>
>> wrote:
>> 
>>> Hi Traci,
>>> 
>>> 
>>> 
>>> You can uninstall the Word from your machine and then reinstall the
>>> 32-bit version of Word as 32 bit applications are supported on 64-bit
>>> machine/Windows OS. Installation process will be same, it just using a
>>> different installer:
>>> 
>>> 
>>> 
>>> Note: Make sure that the product key is handy before uninstalling the
>>> Word from the machine.
>>> 
>>> 
>>> 
>>> Download and install or reinstall Microsoft 365 or Office 2019 on a PC or
>>> Mac - Office Support
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fsupport.microsoft.com%2Fen-us%2Foffice%2Fdownload-and-install-or-reinstall-microsoft-365-or-office-2019-on-a-pc-or-mac-4414eaaf-0478-48be-9c42-23adc4716658%23installsteps%3Dpc_step-by-step&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977787350%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=A5z%2B7h74BzfZbYPKm5ySMVVYbKQfa6jx76aw18XX3zU%3D&reserved=0>
>>> 
>>> Excerpt:
>>> 
>>> The 64-bit version is installed by default unless Office detects you
>>> already have a 32-bit version of Office (or a stand-alone Office app such
>>> as Project or Visio) installed. In this case, the 32-bit version of Office
>>> will be installed instead.
>>> 
>>> To change from a 32-bit version to a 64-bit version
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fsupport.microsoft.com%2Fen-us%2Foffice%2Fchoose-between-the-64-bit-or-32-bit-version-of-office-2dee7807-8f95-4d0c-b5fe-6c6f49b8d261%3Fwt.mc_id%3Dscl_installoffice_home&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977787350%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=Z0s3NbLDbTMsoGLIW9TD5B1OFa0XythafJtwtPrUEQ4%3D&reserved=0> or
>>> vice versa, you need to uninstall
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fsupport.microsoft.com%2Fen-us%2Foffice%2Funinstall-office-from-a-pc-9dd49b83-264a-477a-8fcc-2fdf5dbf61d8&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=wLhvnSRNZCvCOay6NCPTr%2F8WyouRddZZC%2BlfSpNKHLA%3D&reserved=0> Office
>>> first (including any stand-alone Office apps you have such as Project of
>>> Visio). Once the uninstall is complete, sign in again to https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.office.com%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=0PVwNqu6mVtlvFZazycJKyD65N6D6Uh6m1f1nWJuRjg%3D&reserved=0 and
>>> select *Other install options*, choose the language and version you want
>>> (64 or 32-bit), and then select *Install*. (See Install Visio
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fsupport.microsoft.com%2Fen-us%2Foffice%2Finstall-visio-or-access-visio-for-the-web-f98f21e3-aa02-4827-9167-ddab5b025710&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=iYqDMIzmLDJommNhz%2BjI8CXkfSaWoNDTKVHTHBbzYYQ%3D&reserved=0>
>>> or Install Project
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fsupport.microsoft.com%2Fen-us%2Foffice%2Finstall-project-7059249b-d9fe-4d61-ab96-5c5bf435f281&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=XF7mTHwX%2FK9n7U9BAPejcgF%2F7YSXeuVHFKTrq7t0n9s%3D&reserved=0> if
>>> you need to reinstall those stand-alone apps.)
>>> 
>>> 
>>> 
>>> Regarding running Latex on Notepad, you can use the steps detailed at LaTeX
>>> on Windows with MiKTeX and Notepad++ - Nimal's Weblog
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fnimal.info%2Fblog%2F2010%2Flatex-on-windows-with-miktex-and-notepad%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=b7NpWC8nFLJZpkrlfM8zdSzO3LPp8sUfMkSLrFqbLV4%3D&reserved=0>.
>>> 
>>> 
>>> 
>>> Thanks
>>> 
>>> Shail
>>> 
>>> 
>>> 
>>> *From:* Traci W <traci.mwd at gmail.com>
>>> *Sent:* Sunday, July 25, 2021 7:18 PM
>>> *To:* Blind Math list for those interested in mathematics <
>>> blindmath at nfbnet.org>
>>> *Cc:* Rastislav Kish <rastislav.kish at protonmail.com>; Shail M <
>>> momdadofarushi at hotmail.com>; Louis Maher <ljmaher03 at outlook.com>
>>> *Subject:* Re: [BlindMath] Learning High School Math
>>> 
>>> 
>>> 
>>> We did play with it on our old laptops and were successful with Word,
>>> NVDA and Mathplayer and MathType installed....
>>> 
>>> 
>>> 
>>> But we now have 64 bit computers and are back to square one.  My next
>>> look is at the Accessible Equation Editor Project.  But I am also
>>> looking at Notepad++ with LaTex.
>>> 
>>> 
>>> 
>>> Traci
>>> 
>>> 
>>> 
>>> 
>>> 
>>> On Sun, Jul 25, 2021 at 9:56 PM Shail M via BlindMath <
>>> blindmath at nfbnet.org> wrote:
>>> 
>>> Just to mention, MathPlayer plugin is visible in Word, only if the 32-bit
>>> Word is installed.
>>> 
>>> The NVDA documentation states the below but when tried on OpenStax and
>>> few other pages with Math content, it didn't worked as claimed.
>>> 
>>> 7. Reading Mathematical Content
>>> 
>>> Using MathPlayer 4 from Design Science, NVDA can read and interactively
>>> navigate supported mathematical content. This requires that MathPlayer 4 is
>>> installed on the computer. MathPlayer is available as a free download from:
>>> https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.dessci.com%2Fen%2Fproducts%2Fmathplayer%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=oLSFDFtLROgQAB8Ep9HtV2PUBDSdxutDyQrTjx7SeVY%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.dessci.com%2Fen%2Fproducts%2Fmathplayer%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=oLSFDFtLROgQAB8Ep9HtV2PUBDSdxutDyQrTjx7SeVY%3D&reserved=0>
>>> 
>>> NVDA supports the following types of mathematical content:
>>> 
>>>    MathML in Mozilla Firefox, Microsoft Internet Explorer and Google
>>> Chrome.
>>>    Design Science MathType in Microsoft Word and PowerPoint. MathType
>>> needs to be installed in order for this to work. The trial version is
>>> sufficient. It can be downloaded from
>>> https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.dessci.com%2Fen%2Fproducts%2Fmathtype%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=bg343U10PUNudZXbWWO5pjQhd24MGtqV1R31E1bahOc%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.dessci.com%2Fen%2Fproducts%2Fmathtype%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=bg343U10PUNudZXbWWO5pjQhd24MGtqV1R31E1bahOc%3D&reserved=0>
>>>    MathML in Adobe Reader. Note that this is not an official standard
>>> yet, so there is currently no publicly available software that can produce
>>> this content.
>>>    Math in Kindle for PC for books with accessible math.
>>> 
>>> When reading a document, NVDA will speak any supported mathematical
>>> content where it occurs. If you are using a braille display, it will also
>>> be displayed in braille.
>>> 
>>> Thanks
>>> Shail
>>> 
>>> -----Original Message-----
>>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Louis Maher
>>> via BlindMath
>>> Sent: Sunday, July 25, 2021 6:29 PM
>>> To: Rastislav Kish <rastislav.kish at protonmail.com>; Blind Math list for
>>> those interested in mathematics <blindmath at nfbnet.org>
>>> Cc: Louis Maher <ljmaher03 at outlook.com>
>>> Subject: Re: [BlindMath] Learning High School Math
>>> 
>>> Hello,
>>> 
>>> MathPlayer's manual and download site is at
>>> 
>>> https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fdocs.wiris.com%2Fen%2Fmathplayer%2Fstart&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=i%2BtZ%2Bnk84ob0g9e2M9xuoL%2BtA4lZtfAOEkEkJSeA6YA%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fdocs.wiris.com%2Fen%2Fmathplayer%2Fstart&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977797342%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=i%2BtZ%2Bnk84ob0g9e2M9xuoL%2BtA4lZtfAOEkEkJSeA6YA%3D&reserved=0>
>>> 
>>> 
>>> 
>>> Regards
>>> Louis Maher
>>> Phone: 713-444-7838
>>> E-mail: ljmaher03 at outlook.com
>>> 
>>> -----Original Message-----
>>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Rastislav
>>> Kish via BlindMath
>>> Sent: Sunday, July 25, 2021 6:25 PM
>>> To: blindmath at nfbnet.org
>>> Cc: Rastislav Kish <rastislav.kish at protonmail.com>
>>> Subject: Re: [BlindMath] Learning High School Math
>>> 
>>> Hey there,
>>> 
>>> one question, does MathPlayer still exist? Or what happened to it?
>>> 
>>> 
>>> It has crossed my mind as well in the discussion as it was the only
>>> choice of accessing math in Jaws 16-? Or 15- I'm not sure now.
>>> 
>>> 
>>> But search results from Google simply redirect me to MathType, which
>>> doesn't seem to have included the MathPlayer functionality as far as I've
>>> tested.
>>> 
>>> Does anyone know what happened?
>>> 
>>> 
>>> Best regards
>>> 
>>> 
>>> Rastislav
>>> 
>>> 
>>> Dňa 25. 7. 2021 o 5:56 Shail M via BlindMath napísal(a):
>>>> Hi @Susan,
>>>> 
>>>> Hope, you are doing well. Thanks much for providing the references to
>>> the Math books.
>>>> 
>>>> Though Math equation speak is normally error prone by NVDA as well as
>>> JAWS. I lately learned that Math Player + Firefox + NVDA is the best among
>>> all options. I am trying it out.
>>>> 
>>>> Canute is really promising and something that might be affordable
>>> compared to other notetakers. I really hope, this becomes the game changer
>>> and people with VI can read more content with scrolling for every line.
>>>> 
>>>> Thanks
>>>> Shail
>>>> 
>>>> -----Original Message-----
>>>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Susan
>>>> Jolly via BlindMath
>>>> Sent: Wednesday, July 21, 2021 4:20 PM
>>>> To: blindmath at nfbnet.org
>>>> Cc: Susan Jolly <easjolly at ix.netcom.com>
>>>> Subject: [BlindMath] Learning High School Math
>>>> 
>>>> Hi Shail,
>>>> 
>>>> Thank you for reading my article and your nice words about it.
>>>> 
>>>> You mentioned an algebra book on OpenStax that seems like it would be
>>> difficult to convert to braille.  I agree.  It may be that the UTMOST
>>> project I mentioned previously is planning to provide some algebra books in
>>> braille.  You might want to contact them if the next two suggestions aren't
>>> helpful.
>>>> 
>>>> Here are two sources for braille books including algebra books which
>>> are available free to eligible persons.  A TVI should know what is required
>>> to request a book from either source.
>>>> 
>>>> The APH Louis database attempts to keep a record of every available
>>> book transcribed to braille for educational purposes.
>>>> https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Flouis
>>>> .aph.org
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Faph.org%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977807331%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=DYf3BO%2FdN8qDKQlej6W81FGuwkWW7sH2fX9c%2BH7%2B%2FPs%3D&reserved=0>
>>> %2Fcatalog%2FCategoryInfo.aspx%3Fcid%3D152&data=04%7C01%7C
>>>> %7C1d76b48b27f942e7f30608d94fc39863%7C84df9e7fe9f640afb435aaaaaaaaaaaa
>>>> %7C1%7C0%7C637628523756687304%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAw
>>>> MDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=5T
>>>> i62emReazsXfmCD9dd0MTFoQ9imxvAF%2FXJ1I%2FKYPo%3D&reserved=0
>>>> 
>>>> BookShare has a huge number of books in various accessible formats
>>> including algebra books in braille.
>>>> https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.b%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977807331%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=UD6z0PdzrgjRMe24efuAGVMc37Kz37gXar3iFd5PfIc%3D&reserved=0
>>>> ookshare.org
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fookshare.org%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977807331%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=rYnR7i%2F6hdrJbseyNN0onxzawjZRZTA6Ea9LF5Nh9F4%3D&reserved=0>
>>> %2Fcms%2F&data=04%7C01%7C%7C1d76b48b27f942e7f30608d94f
>>>> c39863%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637628523756687304
>>>> %7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6I
>>>> k1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=%2BLkurfcvRm%2BlSIX9QKY7K7N5HTW
>>>> DQRoemdL6PZi3jjk%3D&reserved=0
>>>> 
>>>> You also mentioned the difficulty of working with a complex formula in
>>> either LaTeX or Nemeth.  There's actually been a lot of research in the
>>> area of how to explore complex formulas non-visually.  To take your example
>>> one possibility would reveal the outermost view as an expresson raised to a
>>> fractional power. The first  inner view is that the expression is a simple
>>> fraction.  Next one could explore the numerator and denominator and then
>>> their individual factors.
>>>> 
>>>> It is my understanding that both MathJax and NVDA provide for such
>>> exploration via tabbing.  I don't know the details of how to do this but
>>> perhaps someone else on the list can help.
>>>> 
>>>> As for manipulating the formula in braille it might be helpful to have
>>> an embossed braille copy.  Some people prefer to do braille math on a
>>> Perkins so as to read several lines at once.  The Canute 360 braille
>>> e-reader which has nine 40-cell lines  is just back in production so that
>>> will be another option hopefully available soon.
>>>> 
>>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.br%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977807331%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=rSIqcij2MYQVA0vp4ontuk0oVGoWAJctP4UdTePByLg%3D&reserved=0
>>>> istolbraille.co.uk
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fistolbraille.co.uk%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977807331%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=u0Bo0prBygwPmGRVSd1MWMBmGvpjP1uUEZpS42N93Ic%3D&reserved=0>
>>> %2F&data=04%7C01%7C%7C1d76b48b27f942e7f30608d94f
>>>> c39863%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637628523756687304
>>>> %7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6I
>>>> k1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=5H7%2FGtweNYH4IMqBYCVqVYU9i4Rm7
>>>> 1wQPUEs6EVrL%2Bs%3D&reserved=0
>>>> 
>>>> Best wishes,
>>>> Susan J.
>>>> 
>>>> 
>>>> 
>>>> 
>>>> _______________________________________________
>>>> BlindMath mailing list
>>>> BlindMath at nfbnet.org
>>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet
>>>> .org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=04%7C01%7C%7
>>>> C1d76b48b27f942e7f30608d94fc39863%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7
>>>> C1%7C0%7C637628523756687304%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMD
>>>> AiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=ugTs
>>>> 088apvstjCoCEsbnpT%2FCWaWApdY4G4e48uRYZ0w%3D&reserved=0
>>>> To unsubscribe, change your list options or get your account info for
>>> BlindMath:
>>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet
>>>> .org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fmomdadofarushi%2540h
>>>> otmail.com
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fotmail.com%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977807331%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=2zDy%2BV6L7wXrdyasSRwTzqEH8e3aqFoZjrd4NmovjmM%3D&reserved=0>
>>> &data=04%7C01%7C%7C1d76b48b27f942e7f30608d94fc39863%7C84
>>>> df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637628523756687304%7CUnknown%
>>>> 7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJX
>>>> VCI6Mn0%3D%7C1000&sdata=Ya0KSeXqE3Kgkse9cKDD8f%2BIGaRHlEhUINaWZ7%2
>>>> BSODc%3D&reserved=0 BlindMath Gems can be found at
>>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.b%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977807331%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=IBVBy7F7PFfgeFlHNHpUWHEytLYqSaBwcdSpWtxJZ6g%3D&reserved=0
>>>> lindscience.org
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Flindscience.org%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977817327%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=G9K%2FwRNfJ8Ju8AwH8dCruCXZYc6klMOS7syRRv4mx3c%3D&reserved=0>
>>> %2Fblindmath-gems-home&data=04%7C01%7C%7C1d76b48b27
>>>> f942e7f30608d94fc39863%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C63
>>>> 7628523756687304%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV
>>>> 2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=kGlEZiud2zM5FwZ
>>>> yJJPREiTNmjY%2BEBzMvagaAAKu0S8%3D&reserved=0>
>>>> 
>>>> _______________________________________________
>>>> BlindMath mailing list
>>>> BlindMath at nfbnet.org
>>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet
>>>> .org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=04%7C01%7C%7
>>>> C1d76b48b27f942e7f30608d94fc39863%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7
>>>> C1%7C0%7C637628523756687304%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMD
>>>> AiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=ugTs
>>>> 088apvstjCoCEsbnpT%2FCWaWApdY4G4e48uRYZ0w%3D&reserved=0
>>>> To unsubscribe, change your list options or get your account info for
>>> BlindMath:
>>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet
>>>> .org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Frastislav.kish%2540p
>>>> rotonmail.com
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Frotonmail.com%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977817327%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=7ld1jLu%2FrkZpqNNyPxtw7XrnweD%2FSeSRAf34kRR0Iqw%3D&reserved=0>
>>> &data=04%7C01%7C%7C1d76b48b27f942e7f30608d94fc39863%7
>>>> C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637628523756687304%7CUnkno
>>>> wn%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiL
>>>> CJXVCI6Mn0%3D%7C1000&sdata=5V6pEPsNaIcW87GidCpHxcD0aGPWTJwYm74Vd3d
>>>> kF7M%3D&reserved=0 BlindMath Gems can be found at
>>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.b%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977817327%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=HoYcD4mhFy2A%2FQZKn1kWXBocDqiNprqRe1dxF1dfMfw%3D&reserved=0
>>>> lindscience.org
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Flindscience.org%2F&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977817327%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=G9K%2FwRNfJ8Ju8AwH8dCruCXZYc6klMOS7syRRv4mx3c%3D&reserved=0>
>>> %2Fblindmath-gems-home&data=04%7C01%7C%7C1d76b48b27
>>>> f942e7f30608d94fc39863%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C63
>>>> 7628523756697260%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV
>>>> 2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=3516N6MqX6DgikJ
>>>> gK7EGXfD0%2B0zShXyqL%2FTpJTNAskQ%3D&reserved=0>
>>> 
>>> 
>>> _______________________________________________
>>> BlindMath mailing list
>>> BlindMath at nfbnet.org
>>> 
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977817327%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=9ViGCIZ%2FQlU4O8Dt7ZO%2BKmkCeGxTjiDVTVS0vLsh8wE%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977817327%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=9ViGCIZ%2FQlU4O8Dt7ZO%2BKmkCeGxTjiDVTVS0vLsh8wE%3D&reserved=0>
>>> To unsubscribe, change your list options or get your account info for
>>> BlindMath:
>>> 
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fljmaher03%2540outlook.com&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977817327%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=4X5abLlNTnvxBQVKfJSUfgeZLNXwoQ0cYc5vHqbUBac%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fljmaher03%2540outlook.com&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977817327%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=4X5abLlNTnvxBQVKfJSUfgeZLNXwoQ0cYc5vHqbUBac%3D&reserved=0>
>>> BlindMath Gems can be found at <
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=Bwhwtbyy8cjgiiRzfgIXGRdaVy4UcmBQ1EB3qMT8Uos%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=Bwhwtbyy8cjgiiRzfgIXGRdaVy4UcmBQ1EB3qMT8Uos%3D&reserved=0>
>>>> 
>>> 
>>> _______________________________________________
>>> BlindMath mailing list
>>> BlindMath at nfbnet.org
>>> 
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=UUmuHFcpzQEy8ZDSP54BEb%2BXg6RPCHh249QCraygWMI%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=UUmuHFcpzQEy8ZDSP54BEb%2BXg6RPCHh249QCraygWMI%3D&reserved=0>
>>> To unsubscribe, change your list options or get your account info for
>>> BlindMath:
>>> 
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fmomdadofarushi%2540hotmail.com&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=2EXzX%2BrAe0y1E7APy5feJ%2FuV6T1zFopFkHXhT2gsU4U%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fmomdadofarushi%2540hotmail.com&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=2EXzX%2BrAe0y1E7APy5feJ%2FuV6T1zFopFkHXhT2gsU4U%3D&reserved=0>
>>> BlindMath Gems can be found at <
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=Bwhwtbyy8cjgiiRzfgIXGRdaVy4UcmBQ1EB3qMT8Uos%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=Bwhwtbyy8cjgiiRzfgIXGRdaVy4UcmBQ1EB3qMT8Uos%3D&reserved=0>
>>>> 
>>> 
>>> _______________________________________________
>>> BlindMath mailing list
>>> BlindMath at nfbnet.org
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977827321%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=UUmuHFcpzQEy8ZDSP54BEb%2BXg6RPCHh249QCraygWMI%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977837313%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=RnXY7fzFVuMFBAzLE4r79UNAOyBeQlfsjpwYAZ86KzE%3D&reserved=0>
>>> To unsubscribe, change your list options or get your account info for
>>> BlindMath:
>>> 
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Ftraci.mwd%2540gmail.com&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977837313%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=5K3TZpaAPH1Z9tR06exCnN2ILLsRUSD%2BhzzUneNRbsU%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Ftraci.mwd%2540gmail.com&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977837313%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=5K3TZpaAPH1Z9tR06exCnN2ILLsRUSD%2BhzzUneNRbsU%3D&reserved=0>
>>> BlindMath Gems can be found at <
>>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977837313%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=yzivHyXpZNXkPUvPhTeQZPdPyRfioIwv%2BZ0sqv0BIiM%3D&reserved=0
>>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=04%7C01%7C%7Cf42b769292f64877cc6708d9504466aa%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C637629076977837313%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=yzivHyXpZNXkPUvPhTeQZPdPyRfioIwv%2BZ0sqv0BIiM%3D&reserved=0>
>>>> 
>>> 
>>> --
>> Traci Wilkerson
>> Cell - 919-971-6526
>> 
>> 
>> 
>> 
>> --
> Traci Wilkerson
> Cell - 919-971-6526
> _______________________________________________
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