[BlindMath] Seeking guidance for Discrete Mathematics

Tue Oct 13 05:45:33 UTC 2026

If you can get a epub, or pdf of what ever book, you can get a $20/mo claude subscription. You can give claude this prompt:

Take this book, and convert it into clean accessible epub format. Please proadd image descriptions where there are images, and use accessible math format in the text to make the math accessible.

I usually just give it the entire book, but you can just ask for specific chapters.

Hope it helps.

-----Original Message-----
From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of John Miller via BlindMath
Sent: Tuesday, September 15, 2026 12:59 PM
To: 'Blind Math list for those interested in mathematics' <blindmath at nfbnet.org>
Cc: John Miller <johnmillerphd at hotmail.com>
Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics

Hello,

I have used Infty reader to perform OCR on multiple textbooks that contain mathematic notation.
You can find the software at www.inftyproject.org.
I just reviewed the website and see that the enterprise license is $1000.
A chat bot may be a better way to do OCR but I have not seen a comparison between Infty reader and another method.
There are times when all you have is a bound printed math textbook.
For these times I go to a place like a university that has a fancy copy center where I can pay a nominal fee to unbound the book.
I then scan the book and save as a pdf file.
You must make sure that dpi is 600.
It is helpful to find a high-end scanner that can do double sided scanning, etc.
The next step is to point Infty reader to each of the pdf files and convert them to math ML or latex.
There is absolutely an expectation that a sighted person will be updating equations and correcting corrupted segments of the math.
On the other hand it is amazing how good the math can read without any human corrections.
I would absolutely include human equation cleanup as part of this work flow before being scored for a letter grade in a course.
I do recall scanning an entire text (300 print pages or so) and having the entire work segmented in chapters saved in latex waiting for human intervention to upgrade the quality.
The process without human equation cleanup took no more than 8 hours.

Very Best,
John Miller

________________________________
From: BlindMath <blindmath-bounces at nfbnet.org> on behalf of Ken Perry via BlindMath <blindmath at nfbnet.org>
Sent: Saturday, September 5, 2026 7:22 AM
To: 'Blind Math list for those interested in mathematics' <blindmath at nfbnet.org>
Cc: kperry at blinksoft.com <kperry at blinksoft.com>
Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics

There is no one-size-fits-all prompt for making a document accessible.
The correct approach depends on the document’s format, content, complexity, and
intended audience. Mathematics adds another layer because an equation that is
visually clear may be completely unusable with a screen reader or refreshable
braille display.
BITS has a system that reviews documents using multiple AI agents, but you must
be a BITS member to use it.
With that said, one way to develop a good starting point is to ask ChatGPT to write the accessibility prompt for you. I originally entered the following request:
“Write me a prompt to review a document and make sure it is accessible to all users, including people who are blind.”
I have since expanded the resulting prompt to address mathematical equations, formulas, graphs, tables, notation, spoken math, and braille mathematics.
The research behind these additions is important. Microsoft Word supports structured equations created with its native equation tools, including UnicodeMath and LaTeX input. APH products such as BrailleBlaster and Monarch can translate properly structured MathML or Word equations into Nemeth or UEB Math/Science. APH also notes that some MathML content may require tools such as MathCAT or Access8Math to work correctly with NVDA.
Here is the revised prompt:
-----
Review and revise the attached document to make it as accessible and usable as possible for everyone, including people who are blind, have low vision, use a screen reader or refreshable braille display, navigate only with a keyboard, have limited mobility, are color-blind, or have cognitive or learning disabilities.
The document may contain mathematical equations, formulas, symbols, graphs, diagrams, tables, proofs, and other STEM content. Treat the accessibility of this material as an essential part of the review.
Before revising the document, identify its format, such as Word, PDF, HTML, EPUB, PowerPoint, or another format. Apply the accessibility practices appropriate for that format.
Preserve the document’s original meaning, important information, mathematical accuracy, notation, and overall tone. Correct spelling, grammar, and unclear wording when needed, but do not change the meaning of the mathematics.
GENERAL DOCUMENT ACCESSIBILITY
Check and improve the following:
list of 18 items
1. Use a clear document title and a logical heading structure. Use actual heading styles rather than bold text, font size, or visual appearance alone.
2. Use short paragraphs, descriptive headings, plain language, and consistent terminology when appropriate for the intended audience.
3. Format lists as real numbered or bulleted lists instead of manually typed numbers, symbols, or dashes.
4. Give every meaningful image, chart, graph, diagram, and graphic an appropriate text description. Mark decorative images as decorative.
5. If an accurate image description cannot be written from the available information, do not guess. Insert:
“[An accurate description requires information from the author or a subject matter expert.]”
6. Make link text meaningful when read by itself. Replace wording such as “click here” or a raw URL with text describing the link’s destination or purpose.
7. Make tables accessible:
list of 7 items nesting level 1
• Use tables for data, not visual layout.
• Identify column and row headers properly.
• Keep the structure as simple as possible.
• Add a caption or brief description when helpful.
• Do not use blank cells solely for spacing.
• Explain complex tables in surrounding text.
• Ensure the reading order makes sense when the table is read one cell at a time.
list end nesting level 1
8. Do not communicate information through color, position, shape, size, or visual appearance alone. Add text labels, patterns, symbols, or other indicators.
9. Ensure sufficient color contrast. Avoid backgrounds, patterns, or formatting that make text difficult to read.
10. Use readable fonts, reasonable font sizes, adequate spacing, and left-aligned text when appropriate. Avoid long passages in all capital letters, italics, or underlining.
11. Ensure the document has a logical reading order for people using screen readers and refreshable braille displays.
12. Expand or explain abbreviations and technical terms the first time they appear unless the intended audience can reasonably be expected to know them.
13. Give form fields, checkboxes, and controls clear programmatic labels and instructions if the document contains a form.
14. Identify the document’s primary language and mark passages written in another language when the format supports language identification.
15. Add captions and transcripts for referenced or embedded audio and video.
16. Avoid directions that depend only on visual location, such as “see the box on the right.” Refer to the section, equation, figure, or item by its title or number.
17. Make page headers, footers, page numbers, footnotes, and endnotes accessible and logically connected to the main content.
18. If the format supports document properties, add a meaningful document title, author, subject, primary language, and appropriate keywords.
list end
MATHEMATICAL AND STEM ACCESSIBILITY
Review every equation, formula, symbol, graph, proof, and mathematical expression. Apply the following requirements:
list of 20 items
1. Do not represent mathematics only as an image, screenshot, scanned page, or arrangement of ordinary text characters.
2. Preserve mathematics as structured, editable content whenever possible:
list of 4 items nesting level 1
• For HTML and EPUB, use valid MathML or another method that exposes structured MathML to assistive technology.
• For Microsoft Word, use the current built-in Equation Editor or Office Math rather than an image or an obsolete equation object.
• Preserve accurate LaTeX, UnicodeMath, or MathML source when it is available.
• Do not replace a structured equation with plain text or an image merely because the visual result looks the same.
list end nesting level 1
3. Ensure each mathematical expression can be recognized as mathematics and read in the proper sequence by a screen reader.
4. Preserve the structure of fractions, exponents, subscripts, roots, matrices, limits, integrals, summations, equations, and grouped expressions. Do not flatten complex mathematics into an ambiguous line of characters.
5. Use proper Unicode mathematical symbols or structured mathematical markup. Do not substitute visually similar characters. For example, do not use the letter “x” when the multiplication sign or a structured multiplication operator is intended.
6. Make the boundaries of complex expressions clear so a screen-reader user can determine where a numerator, denominator, exponent, root, matrix row, or grouped expression begins and ends.
7. Retain equation numbers as accessible text and associate references such as “Equation 4” with the correct equation.
8. Define variables, unfamiliar symbols, abbreviations, and notation when they are introduced. Keep the terminology and notation consistent throughout the document.
9. Provide a brief explanation of the purpose or meaning of an equation when that information would help the reader understand it. Do not use a plain-language description as a replacement for the structured equation.
10. Do not rely on automatically generated alt text as the only accessible version of a complex equation. Alt text may provide a short fallback, but the structured mathematical expression must be preserved whenever possible.
11. When mathematics is supplied only as an image and cannot be converted confidently, preserve the image and insert:
“[This mathematical expression requires transcription into structured mathematical markup and verification by a subject matter expert.]”
12. Ask which braille mathematics code is required before producing braille. The appropriate code may be Nemeth Code, UEB Math/Science, or another code required by the intended audience or country. Do not assume that one braille mathematics code is correct for every reader.
13. If braille mathematics is requested:
list of 6 items nesting level 1
• Produce it from correctly structured mathematical source.
• Identify the braille code used.
• Preserve necessary code-switching indicators.
• Do not invent braille symbols or contractions.
• Flag the braille for review by a qualified braille transcriber or knowledgeable braille mathematics reader.
• Do not claim that AI-generated braille is certified or transcription- ready without expert review.
list end nesting level 1
14. For mathematical graphs, charts, geometry figures, number lines, coordinate planes, and scientific diagrams:
list of 5 items nesting level 1
• Provide a concise overview of what the graphic represents.
• Provide a detailed description of the important spatial relationships, labels, axes, units, scales, trends, intersections, coordinates, maxima, minima, and other information needed to answer questions about it.
• Include the underlying data in an accessible table when appropriate.
• Do not rely on color, line style, position, or visual shape alone.
• Identify situations in which a tactile graphic or physical model is needed because a text description cannot adequately communicate the spatial information.
list end nesting level 1
15. For geometry and other spatial mathematics, clearly identify points, lines, angles, shapes, dimensions, relationships, and labels. Preserve the information needed to create an accurate tactile graphic.
16. For matrices, aligned calculations, and multi-line derivations, preserve row, column, and alignment relationships. Do not convert them into an ambiguous paragraph of symbols.
17. For proofs and worked examples:
list of 4 items nesting level 1
• Present each step in a logical reading order.
• Explain the purpose of major transformations when appropriate.
• Clearly associate explanations with the equations they describe.
• Do not rely on arrows, indentation, highlighting, or position alone to show how one step follows another.
list end nesting level 1
18. For chemistry, physics, statistics, computer science, and other STEM content, preserve the semantic meaning of specialized notation. Flag any notation that requires review by a subject matter expert.
19. If the document format cannot reliably support accessible mathematics, recommend and, when possible, provide an accessible alternative such as structured HTML, accessible EPUB, or a properly prepared Word document. Do not assume that adding tags or alt text to a PDF will make complex mathematics fully accessible.
20. Do not add excessive descriptions that interrupt reading unnecessarily. Keep brief descriptions concise and provide longer descriptions separately when appropriate.
list end
TESTING AND VERIFICATION
Use WCAG 2.2 Level AA principles where they apply. For EPUB, consider EPUB Accessibility requirements. For PDF, consider PDF/UA requirements.
Do not claim that the document is fully accessible or compliant solely because an AI system or automated accessibility checker reviewed it.
Recommend testing with the formats and tools that the intended audience actually uses. Testing should include, when applicable:
list of 11 items
• The document format’s built-in accessibility checker.
• Keyboard-only navigation.
• Reading-order inspection.
• Color-contrast verification.
• At least one screen reader.
• A refreshable braille display when braille access is required.
• Navigation into and through complex mathematical expressions.
• Spoken rendering of fractions, roots, exponents, matrices, integrals, summations, and other complex structures.
• Braille translation into the requested mathematics code.
• Review of tactile graphics or detailed descriptions.
• Review by a blind mathematics reader, qualified braille transcriber, accessibility specialist, or subject matter expert.
list end
RETURN THE FOLLOWING
list of 7 items
1. The complete revised document.
2. A short summary of the general accessibility improvements made.
3. A separate summary of the mathematics and STEM accessibility improvements.
4. A list of equations, graphics, notation, or other content that could not be corrected confidently.
5. A list of questions requiring answers from the author, including the required document format, assistive technologies, educational level, and preferred braille mathematics code.
6. A final human-testing checklist tailored to the document’s format and mathematical content.
7. A clear warning about any content that still requires review by a qualified accessibility specialist, braille transcriber, blind mathematics reader, or subject matter expert.
list end
Do not remove important content merely because it presents an accessibility problem. Correct it when possible and clearly flag anything that cannot be corrected without additional information.
-----
This is still a starting point, not a replacement for accessibility testing or human review. AI can identify and correct many problems, but it cannot guarantee that a document is fully accessible simply because it revised it. This is especially true for advanced mathematics, braille translation, and tactile graphics.

-----Original Message-----
From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Shannon Pruitt via BlindMath
Sent: Saturday, September 5, 2026 9:47 AM
To: blindmath at nfbnet.org
Cc: Shannon Pruitt <sdpruitt99 at yahoo.com>
Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics

On a somewhat related but different note, does someone already have a good AI prompt they use to make documents accessible and which platform do you use it on?

Shannon

> On Sep 3, 2026, at 8:20 PM, gary via BlindMath <blindmath at nfbnet.org> wrote:
>
> Thanks for the info.
>
> -----Original Message-----
> From: sheratalmi at gmail.com <sheratalmi at gmail.com>
> Sent: Thursday, September 3, 2026 3:26 PM
> To: 'Blind Math list for those interested in mathematics'
> <blindmath at nfbnet.org>
> Cc: gmelconian619 at gmail.com
> Subject: RE: [BlindMath] Seeking guidance for Discrete Mathematics
>
> Here's the link:
> https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Facademy.openai.com%2Fpages%2Fhigher-ed-students-krs3cf&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239555939%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=n8fWSTRbxm%2FBH2JAn%2FjIQEm%2BETH%2BcJHJi%2FMc6EFlLW0%3D&reserved=0<https://academy.openai.com/pages/higher-ed-students-krs3cf>
>
> College plugin:
> https://na01.safelinks.protection.outlook.com/?url=https%3A%2F%2Facademy.openai.com%2Fhome%2Fclubs%2Fhigher-education-05x4z%2Fblogs%2Fcol&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239580892%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=Uca%2F7ZP0uW3GtX22xlI2rNqVXa7Q1eBcGBWB67t%2Bb4w%3D&reserved=0<https://academy.openai.com/home/clubs/higher-education-05x4z/blogs/col>
> lege-educator-and-student-plugins
>
> Best,
> Arushi
>
>
> -----Original Message-----
> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of gary via
> BlindMath
> Sent: Thursday, September 3, 2026 6:21 PM
> To: 'Blind Math list for those interested in mathematics'
> <blindmath at nfbnet.org>
> Cc: gmelconian619 at gmail.com
> Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics
>
> Where do I find  out about  these academy courses for AI.
>
> -----Original Message-----
> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Ken Perry
> via BlindMath
> Sent: Thursday, September 3, 2026 2:46 PM
> To: 'Blind Math list for those interested in mathematics'
> <blindmath at nfbnet.org>
> Cc: kperry at blinksoft.com
> Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics
>
> The inaccuracies c an be let with if you take the academy classes and learn to use AI correctly  Both Anthropic and Open AI have academies of learning that are fully accessible. If you learn to use sub agents to have them check each other for accuracy you can do amazing things.
>
> -----Original Message-----
> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of avery
> ingram via BlindMath
> Sent: Thursday, September 3, 2026 3:51 PM
> To: blindmath at nfbnet.org
> Cc: avery ingram <avery8ingram at gmail.com>
> Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics
>
> Hello,
>
> I want to add to that by saying this could be worth considering if you still find that JAWS does an inadequate job of reading math. There is the option of using prompts to make AI convert things in a more readable way. The downside is potential errors/inaccuracy, but everyone prefers different methods.
>
> Best,
>
> Avery
>
> On Sep 3, 2026, at 5:26 AM, Faraz Khanafari via BlindMath <blindmath at nfbnet.org> wrote:
>
> Hello Arushi and everyone. I have somehow developed a strategy to accessiblize math for me, which works for me most of the time in understanding digitally written math-related subjects.
> Assuming there are no conceptual confusions on the subject you're dealing with, here's what I have to share:
> 1. Learn some basic LaTeX.
> Not necessarily to compile your own output with it, but to get a sense of how things might look like in the real world. For instance, in LaTeX we know to write a subscript using an underline sign. E.g. the letter a, with a letter n as its subscript, is written in LaTeX code as a_n.
> 2. After having gotten a general sense of what's what and how things are generally written, I too would strongly recommend mathpix. You could, among other formats, get your ocr'ed pdf in LaTeX and or markdown, which is basically LaTeX with less drama!
> That is of course, if you would prefer a plain-text output for your math book...I usually do, because it's much easier for me to navigate around in it, do copy/paste, etc.
> If not, mathpix also lets you get your ocr'ed output as html, ms-word, etc.
>
> If you feel I could help, feel free to get in touch via my email.
>
> All the best
>
> Faraz
>
>> On Thu, Sep 3, 2026 at 2:00 PM <blindmath-request at nfbnet.org> wrote:
>>
>> Send BlindMath mailing list submissions to
>>       blindmath at nfbnet.org
>>
>> To subscribe or unsubscribe via the World Wide Web, visit
>>       https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239596283%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=nnp3Fmu6rx3pVIhENsAYorPOienO0QkBIy2ytjmyZeE%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
>> or, via email, send a message with subject or body 'help' to
>>       blindmath-request at nfbnet.org
>>
>> You can reach the person managing the list at
>>       blindmath-owner at nfbnet.org
>>
>> When replying, please edit your Subject line so it is more specific
>> than "Re: Contents of BlindMath digest..."
>>
>>
>> Today's Topics:
>>
>>  1. Re: Seeking guidance for Discrete Mathematics
>>     (sheratalmi at gmail.com)
>>
>>
>> ---------------------------------------------------------------------
>> -
>>
>> Message: 1
>> Date: Wed, 2 Sep 2026 21:30:08 -0400
>> From: <sheratalmi at gmail.com>
>> To: "'Haylee Mota'" <haylee9803 at gmail.com>,     "'Blind Math list for
>>       those interested in mathematics'" <blindmath at nfbnet.org>
>> Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics
>> Message-ID: <014c01dd3b43$c1c16eb0$45444c10$@gmail.com>
>> Content-Type: text/plain;       charset="utf-8"
>>
>> Thank you! Your suggestions were very helpful.
>>
>>
>>
>> Hoping to learn a lot from everyone of you over the period of time.
>>
>>
>>
>> Thanks
>>
>> Arushi
>>
>>
>>
>> From: Haylee Mota <haylee9803 at gmail.com>
>> Sent: Monday, August 31, 2026 11:50 PM
>> To: Blind Math list for those interested in mathematics <
>> blindmath at nfbnet.org>
>> Cc: M Aru <sheratalmi at gmail.com>; avery ingram
>> <avery8ingram at gmail.com>
>> Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics
>>
>>
>>
>> Arushi,
>>
>> When you're in Thorium and within a book, if you go to settings,
>> there is an option that says enable MathJax. It is a checkbox, and it
>> is close to the bottom of the settings window. Maybe try toggling
>> this setting and see if the math reads.
>>
>>
>>
>> Best,
>>
>> Haylee
>>
>>
>>
>> On Mon, Aug 31, 2026 at 8:20 PM avery ingram via BlindMath <
>> blindmath at nfbnet.org <mailto:blindmath at nfbnet.org> > wrote:
>>
>> Hello,
>>
>> Thanks for giving me the ISBN. That was really helpful, and I just
>> tried out the book. I might have to get on a call with you to know
>> exactly what's going wrong, but I have some initial thoughts.
>>
>> There are at least two problems you're dealing with here, unfortunately.
>> One is that the Bookshare book writes things like a subscript n as a
>> space n, so no matter what settings are active, I don't think there's
>> a way to read it 100% reliably with just audio. I actually think this
>> is something you could get around with practice and math knowledge.
>>
>> The other problem is that JAWS doesn't read math as well as a human would.
>> The best thing you can do in the short-term is to have someone look
>> at the print book and help you understand what it should be saying. I
>> might be able to help to an extent, if you want to call or email me
>> directly. It will also help somewhat to set the JAWS punctuation to
>> all. To do that, alt tab to JAWS, then press alt, go to voices, then
>> voice adjustment, tab to punctuation, choose all, and tab to ok and press enter.
>>
>> You have a few options, probably even more I'm not considering. One
>> is to have your VR agency hire a tutor for you. They might try to get
>> you to accept a reader/scribe, but in fields like this, I'd argue
>> that you need a tutor specifically because the material is so
>> complex. In addition to that, don't hesitate to use other resources
>> your college has, and ask if you can get extra office hours with your
>> professor for help understanding the concepts. I don't know if you
>> are already, but your university should be paying for you to get a course assistant while you're in class.
>>
>> Using AI for the print, electronic textbook is another option. I
>> believe MathPix is the most accurate, but I haven't tried it out yet.
>>
>> This might seem unappealing, but it's worth considering, and I'm not
>> necessarily saying you need to do this. You could explain the
>> situation to your professor, VR counselor, and Disability Resource
>> Office. You'd say that you tried your best, but can't complete the
>> course now. Don't say it like you're blaming anyone, because then
>> they'll get defensive. Ask what options you have, like withdrawing
>> from the class, getting an incomplete for now, and if any exceptions
>> can be made. The main reason this is worth considering now is that if
>> you wait until you've received the grade after the course ends, it
>> would be impossible or much harder to get that to work, so doing this sooner could protect your GPA.
>>
>> No matter which option you choose, I'd recommend learning more
>> Braille and other codes as time goes on. Knowing Nemeth or UEB Math
>> will make reading math and doing scratch work much easier. Learning
>> computer Braille will make programming easier. Learning LaTeX will
>> make a few things easier. It sounds intimidating, but I have no doubt
>> you can learn them. Which codes do you know now? I also think just
>> learning a few, basic Nemeth symbols now could help a lot with being able to read the discrete math book.
>>
>> Best of luck, and please don't hesitate to reach out if you have more
>> questions. You should be proud of the effort you've put into the
>> class, considering the access you've had to the resources you need.
>> It takes everyone time to figure these things out.
>>
>> Best,
>>
>> Avery
>>
>> On Aug 31, 2026, at 7:00 PM, Aru M <sheratalmi at gmail.com <mailto:
>> sheratalmi at gmail.com> > wrote:
>>
>> 
>> Hi Avery,
>>
>> Thank you! I really appreciate your willingness to help me out here.
>>
>> I have downloaded the book Discrete Mathematics and Applications by
>> Kenneth Rosen (ISBN: 9781259731280) from Bookshare in Epub format and
>> tried in the Thorium app but the Math content is not read correctly.
>> Is there any setting on your machine that enables the Thorium reader
>> to read it properly?
>>
>> Jaws many a times said Math content but never read any further, so
>> your suggestions are really helpful.
>>
>> I have a APH Mantis Q40, but have not yet attempted to read the math
>> content with this as I am less familiar with Nemeth.
>>
>>
>>
>> Best,
>> Arushi
>>
>>
>> From: avery ingram <avery8ingram at gmail.com
>> <mailto:avery8ingram at gmail.com>
>>>
>> Sent: Sunday, August 30, 2026 4:59 PM
>> To: M Aru <sheratalmi at gmail.com <mailto:sheratalmi at gmail.com> >
>> Cc: blindmath at nfbnet.org <mailto:blindmath at nfbnet.org>  <
>> blindmath at nfbnet.org <mailto:blindmath at nfbnet.org> >
>> Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics
>>
>> Hello,
>>
>> I'm very impressed by your level of dedication. Trying all the
>> methods people recommended is a fantastic sign about your ability to
>> succeed, and for people like me trying to help you, makes it much
>> easier. Some people are too busy or do not have the knowledge to be
>> able to do this, so this is not critical of them, but please feel
>> free to reach out to me on or off list if I might be able to assist you in the future.
>>
>> Did you download Handbook of Discrete and Combinatorial Mathematics,
>> or the exact book your class is using? I downloaded the combinatorial
>> one, since it's publisher quality, but I can test the other one out
>> if that will not work.
>>
>> I tested out a few things in sections 3.4 and 3.5. Some numerical
>> things say math content, and others don't, especially if they're more
>> simple. If something says math content, you can press enter on it.
>> After you press enter, using left and right arrows will make it a bit
>> easier to understand the math that's being spoken. If you're using a
>> Braille display that's 40 cells or wider, that should be especially helpful for reading the Braille.
>> If you don't have one, I'd recommend telling your college's
>> disability resource office, or VR agency, like a commission for the
>> blind, that you absolutely need them to buy you one in order for you
>> to be able to access the materials necessary for your class, and to do coding with fewer errors.
>>
>> Publisher quality books are the best Bookshare has, and they tend to
>> be great overall, but they vary and aren't quite as good as some
>> books on OpenStax or in PreTexT in terms of a screen reader being able to read them.
>> For example, the PreTexT books will probably give you the ability to
>> hit down arrow to learn more about the smaller expressions in an
>> equation, in a way that isn't quite working for this book. But if you
>> need this book or a very similar one to line up with what the
>> instructor teaches, this might be the best option.
>>
>> Best of luck with your studies,
>>
>> Avery
>>
>> On Aug 30, 2026, at 7:37 AM, Aru M <sheratalmi at gmail.com <mailto:
>> sheratalmi at gmail.com> > wrote:
>>
>> Hello all,
>>
>> I really appreciate the suggestions provided by all of you.
>>
>> I got the subscription for ChatGPT and will be looking forward to
>> leverage it for my learning.
>>
>> I looked into the two books through the link in the email and they
>> seem to be covering almost everything that may be taught as part of this subject.
>> They are very much accessible and therefore, be tremendously helpful
>> in learning the concepts.
>>
>> A sighted person looked into the textbook in Word format (opened in
>> Microsoft Word) but the equations are in text format only and
>> therefore, special Math notations are gone. I was hoping that the
>> equations would be in Equation Editor then I can use it but unfortunately not.
>>
>> Thanks for suggestion about the Thorium app. I opened the EPUB
>> version of the book in the app and it is also not correctly reading
>> the Math content though the content is rendered correctly. I enabled
>> the screen reader optimization for the book but it didn't helped. Is
>> there any setting that I need to do to enable correct Math reading?
>>
>>
>> Thanks
>> Arushi
>>
>> -----Original Message-----
>> From: BlindMath <blindmath-bounces at nfbnet.org <mailto:
>> blindmath-bounces at nfbnet.org> > On Behalf Of avery ingram via
>> BlindMath
>> Sent: Saturday, August 29, 2026 10:58 PM
>> To: blindmath at nfbnet.org <mailto:blindmath at nfbnet.org>
>> Cc: avery ingram <avery8ingram at gmail.com
>> <mailto:avery8ingram at gmail.com> >
>> Subject: Re: [BlindMath] Seeking guidance for Discrete Mathematics
>>
>> Hello,
>>
>> I have a solution that might work. The book Handbook of Discrete and
>> Combinatorial Mathematics, from the same author, seems to be
>> publisher quality, so it should render a lot better. The book might
>> be really similar, but you could ask a TA to tell you which parts
>> correspond to your class's book.
>>
>> If you get the free Thorium app on your computer, and download the
>> book in epub format, it should work especially well. I think this book has images.
>> Whenever you're on an equation or image, you should be able to use
>> picture smart AI with JAWS. To do that, have your cursor on the
>> image, then press JAWS key with space, then p, then shift with c. It
>> might not give you the best description, but if you ask it a
>> follow-up question and include context you remember about the image
>> or equation, it should give you a great description. Best of luck.
>>
>> Avery
>>
>> On Aug 29, 2026, at 3:51 PM, Aru M via BlindMath
>> <blindmath at nfbnet.org <mailto:blindmath at nfbnet.org> >
>> wrote:
>>
>> Hello,
>>
>> I am a sophomore at Purdue University studying Computer Science and
>> seeking guidance in successfully navigating one of the subjects that
>> I am currently struggling in.
>>
>> The subject is CS-182. Though, it says Computer fundamentals but it
>> is essentially discrete math covering topics like Logic, proofs,
>> sets, functions, complexity, induction, recursive algorithms, finite
>> automata, graphs. Semester has just started but I can feel the heat.
>>
>> The assigned textbook "Discrete Mathematics and Its Applications" by
>> Kenneth H. Rosen is available on Bookshare.org but on downloading in
>> all the possible formats available there, I find that none of them is
>> truly accessible and even wonder if it shows the correct information.
>> The Math equations are not read correctly.
>>
>> I rely completely on JAWS on the Windows laptop and haven't used
>> braille in past many years. For the Math content, I use Equations
>> Editor on Microsoft Word to read the problems and solve them.
>>
>> The DRC department at the university provides me the lecture notes
>> and other related content in MS Word but I need something to read to
>> understand the concepts like textbook in this case.
>>
>> I was wondering if anyone here faced something similar and found any
>> workaround.
>>
>> Looking forward to any suggestions that you might deem helpful.
>>
>>
>> Best regards,
>> Arushi
>> _______________________________________________
>> BlindMath mailing list
>> BlindMath at nfbnet.org <mailto:BlindMath at nfbnet.org>
>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239611975%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=g8UIeUPGjXIvNXFoNuf%2Bo1SyDqjt5h6kHeiJAOfqpNU%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
>> 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%2Favery8ingram%25254&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239625204%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=nlvFOQD9npI0dUOFjO1R916JGDLFCNOX8j35%2F%2FF%2F9Ps%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/avery8ingram%254>
>> 0
>> gmail.com
>> BlindMath Gems can be found at
>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239637348%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=KekEB1O4aK7S%2FdmhoEkEZ%2BVJg8FHictR3WdE1yX96AU%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>
>>
>> _______________________________________________
>> BlindMath mailing list
>> BlindMath at nfbnet.org <mailto:BlindMath at nfbnet.org>
>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239649398%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=44eO99RMsTK4a5VUmlN5Jrzws5fnQQu3vyC%2FNo71Z1A%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
>> 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%2Fsheratalmi%2540g&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239660868%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=VRIeIocLf2Uup2yWfxfLplSkhbPJki6IC8k0rFiTIwI%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/sheratalmi%40g>
>> m
>> ail.com
>> BlindMath Gems can be found at
>> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239673067%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=Iwv0JfNKtvsimIg2SYdhnyIF%2FV%2FWn4hCQ006kiaR4t0%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>
>> _______________________________________________
>> BlindMath mailing list
>> BlindMath at nfbnet.org <mailto:BlindMath at nfbnet.org>
>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239685412%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=InqMzcjz2QmnBBE6qC2gGDXNgN%2FpQT1w4deXv5%2BpJUU%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
>> 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%2Fhaylee9803%2540g&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239697296%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=hvrzT1zxQ99u%2B8V0%2Fw1eSL0GV8vB%2BhUNf3aYbL0iEXE%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/haylee9803%40g>
>> m
>> ail.com
>> BlindMath Gems can be found at <
>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239707962%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=KIPe%2BMxQsD6FMnwycpWc7FtQZGC7xJzIKn%2FHXiJpY6c%3D&reserved=0><http://www.blindscience.org/blindmath-gems-home>
>>
>> ------------------------------
>>
>> Subject: Digest Footer
>>
>> _______________________________________________
>> 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=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239718363%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=jfQPfsy180MaDvYD%2FXbKzOYxpjAcm0otGUcCUCUdE0U%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
>> BlindMath Gems can be found at <
>> https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239728151%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=P2fWQglkfr8%2Fyb%2BO7GUYCHtJ0OEOSZ2dp744z7xbA4I%3D&reserved=0><http://www.blindscience.org/blindmath-gems-home>
>>
>>
>> ------------------------------
>>
>> End of BlindMath Digest, Vol 242, Issue 2
>> *****************************************
>>
> _______________________________________________
> 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=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239737805%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=%2Ftl5VqiBb9XEDJ%2F0XQUxC2ZsZ932jShPlof7AmTtNQQ%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
> 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%2Favery8ingram%2540&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239747928%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=36JL%2BnrPPUNr6VojjQgEf0W8obQaVWA7rKPQpZPPWJA%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/avery8ingram%40>
> gmail.com BlindMath Gems can be found at
> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239759651%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=jquBO6IpM4z2atNAcU5d1Z9Rtd4Y6EIn2Z1RfZk13tA%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>
>
> _______________________________________________
> 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=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239772579%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=HcuAUM8UiYt1FY2C69siPtg6k84H3dRA1D94KTOkRaw%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
> 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%2Fkperry%2540blinks&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239784894%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=n7HvFBBmfW7Xmywb2VpBT%2FTSQW9xD05aEyIQXzhtRbc%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/kperry%40blinks>
> oft.com BlindMath Gems can be found at
> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239796497%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=U%2FDTGadFawwL3%2BpJB6Y3YtRrekk1rzEY4c1qXbAFl6Q%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>
>
>
> _______________________________________________
> 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=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239808298%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=BYJz1BlFlC65PKZsI2NwdJdGlQEsHNYlWTVc7EUJngU%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
> 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%2Fgmelconian619%25254&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239820335%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=u7EVsZDUyIIyCBZYJ2Sh%2FwXYqz8%2FgUw35juI%2FkcKI5s%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/gmelconian619%254>
> 0gmail.com BlindMath Gems can be found at
> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239844772%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=sxV5t4%2FQe3cU8hgTTkn5GPtILe8ENijBVazgssjVENE%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>
>
>
> _______________________________________________
> 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=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239865233%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=5oP6TiXkByJ%2F4P%2FEmxRnZiaswY0tf9w%2F7u%2BGRYRdc0Y%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
> 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%2Fsheratalmi%2540gm&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239880647%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=TiOwZQvXg%2FWlDEJyByQFfdJ1ZM%2Fjnpirujj8FM%2FEeeA%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/sheratalmi%40gm>
> ail.com BlindMath Gems can be found at
> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239894060%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=TYmOG01q2FjOR9DVIg%2BbaGx7mRmWOuyW1m1G0FwMXMg%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>
>
>
>
> _______________________________________________
> 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=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239907029%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=96uoLSiNynsTrzCmk065%2Bn4Vdczr99D2ffC%2FsMPwZhI%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
> 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%2Fsdpruitt99%2540ya&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239929610%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=zlqoHwolTqguw0G38GtIFZwawVVOmry8m27FKDmJwUI%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/sdpruitt99%40ya>
> hoo.com BlindMath Gems can be found at
> <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239954528%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=wFOkha8OmH9sP%2Ba8GAGrRdkyPPhtS%2Bm2KnmsS7hVmGk%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>

_______________________________________________
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=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239973525%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=PzXc6VWw%2FPxqJ8XHIQZ5Q5mFKbU71PnkmgWWhZmbmu8%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
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%2Fkperry%2540blinksoft.com&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239987499%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=P2%2FyNv%2BO6e9%2BAv6xd97o3xuVxZmT2Q51dwVPUKC11Rk%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/kperry%40blinksoft.com>
BlindMath Gems can be found at <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150239998346%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=BhaK%2FYauyQb4KpZJkK8KX000%2BBR5GMkqgs66TiXiu20%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>

_______________________________________________
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=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150240009745%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=J%2Bn%2BZ8dkVcrFuiITLZrnj59MVOlGzFrSY8dYh7eId%2Fk%3D&reserved=0<http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org>
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%2Fjohnmillerphd%2540hotmail.com&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150240020432%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=q9g0V7qqBSbpjxuIx3Ffmv1X9aQe2eW2uo3GjfiHQMY%3D&reserved=0<http://nfbnet.org/mailman/options/blindmath_nfbnet.org/johnmillerphd%40hotmail.com>
BlindMath Gems can be found at <https://na01.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home&data=05%7C02%7C%7C973fc74e180c4e5c364908df0b594901%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C639242150240030539%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=2kqvTvgqLXkrg7gzs5AHOvGuddkIjgiOoOzBSkusijg%3D&reserved=0<http://www.blindscience.org/blindmath-gems-home>>
_______________________________________________
BlindMath mailing list
BlindMath at nfbnet.org
http://nfbnet.org/mailman/listinfo/blindmath_nfbnet.org
To unsubscribe, change your list options or get your account info for BlindMath:
http://nfbnet.org/mailman/options/blindmath_nfbnet.org/juanhernandez98%40gmail.com
BlindMath Gems can be found at <http://www.blindscience.org/blindmath-gems-home>