[BlindMath] Low vision student wanting to hear math on a Mac

Kevin Fjelsted kfjelsted at gmail.com
Sun Sep 15 11:12:49 UTC 2019 

> Derek;

> I use Latex-Access  extensively and would  like to learn more about the matrix mods you made. Is there a fork of the project with the mods available?
-Kevin

>  On Sep 15, 2019, at 2:14 AM, Derek Scott Riemer via BlindMath <blindmath at nfbnet.org> wrote:
> 
> I am willing to meet with your student and show them how to use math player
> to read matrices. Itt's something I didn't actually know existed until
> after I finished linear algebra. Also, can your student learn Braille?
> Working purely with speech on matrices is one of the single hardest things
> I did in college, and I would not have passed my linear algebra class if I
> haddn't decided to switch to using braille for everything. I also modified
> the latex-access matrix browser implementation in NVDA to allow for virtual
> exploration of matrices, but that's less relevant since you can use
> control+arrows to move around them with math player.
> 
> On Fri, Sep 13, 2019 at 3:43 PM Susan Kelmer via BlindMath <
> blindmath at nfbnet.org> wrote:
> 
>> The student is in differential equations and linear algebra courses this
>> semester. Yes, there are matrices.  Lots and lots of matrices.  He needs
>> Windows + NVDA + Mathplayer and MathML files.  He is not going to get the
>> same functionality on the Mac, even with a bunch of crazy single-step
>> workarounds.
>> 
>> -Susan
>> 
>> -----Original Message-----
>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Sina Bahram
>> via BlindMath
>> Sent: Friday, September 13, 2019 3:36 PM
>> To: 'Blind Math list for those interested in mathematics' <
>> blindmath at nfbnet.org>
>> Cc: Sina Bahram <sina at sinabahram.com>
>> Subject: Re: [BlindMath] Low vision student wanting to hear math on a Mac
>> 
>> Ed brings up a great additional solution. On IOS devices, the Math
>> exploration support isn't bad. I wouldn't say that it is "great",
>> especially for basically anything involving matrices, step-wise functions,
>> complex integrals, nested series, calculus-based statistics past the intro
>> stuff, etc., but this all may be out of scope for your student, and
>> therefore does not matter.
>> 
>> Note, much like Ed, I haven't played with that in a little bit, so I can't
>> recall whether or not VO allows for both Nemeth and UEB output, for
>> example, especially on the math side, which may matter depending on how
>> your student was taught mathematics in Braille, if at all, so something
>> else to keep in mind.
>> 
>> I will point out though, and with tons of bias, that I still feel
>> MathPlayer+NVDA is absolutely the most fully-featured way of exploring
>> mathematics in existence. The bias part comes from the fact that I spent 3
>> to 4+ years helping develop those techniques with Neil Soiffer (who, as far
>> as I'm concerned is the most under-recognized hero of access to mathematics
>> in our community), but the factual part comes from, don't bother with what
>> I think and feel free to investigate on your own and read ETS's associated
>> papers, etc.
>> 
>> Personal story: I will never, ever, forget the feeling of just pure awe
>> when I was able to browse Euler's equations, Einstein's special relativity
>> formulas, the Riemann Zeta function, etc. just by doing some Google
>> searches across Wikipedia, and that was also in Nemeth under my fingertips
>> ... that was a big deal. I would have absolutely done anything for that in
>> high school/undergrad. Pondering that too much makes me sound old, though,
>> haha e.g. kids have it so good these days. The point is that, they don't.
>> There are still huge disparities in equitable access to the most basic
>> tenants of mathematics education, but it is absolutely getting better, and
>> noticeably so, which is amazing and awesome.
>> 
>> Take care,
>> Sina
>> 
>> President, Prime Access Consulting, Inc.
>> Phone: 919-345-3832
>> 
>> https://secure-web.cisco.com/19n1e2Jbkz42iDH-5Pdoceh13su44yrRxguReza8A2BJrnxrmWf34Atf3hHTMqNlGk4Lmp0R00mjrfP0dMcycPyfXUxZENLcqMhCqujBGM8RBEswnx7zz-LebWwx5j52Z3C69OD6kIffTNDWp8jgJwz2L1ZNXE5EyZFngI8ufEqZMJt1nC6PHpy_dDbyrSVkkvwlz8Sdbdxz5GmTHeAj9kS0IlokqoJ4U3aICBHJqSq7seIXGxhjsotT5LXyOmaD1bM1tkhdqZW8gYHZ4fzkl6Nq_8J3rTtWFi4-03QYtJe2pPkHnpvkMiK93_3oze7Hlx3Q1JYNb_m-7826bNV5alWusC97WAcsS8TeGmSWJ-IbscE3H3Ov-PeWcPPejr6UE2Yuanns8ifvhQYuvjy_5SJCVVVxDGC7ZWa8s0gXOFuPQjDsT-wYyKTaOe5NAhV9b_kNzWjCjMMf_iMMbX7rs8g/https%3A%2F%2Fwww.PAC.bz
>> Twitter: @SinaBahram
>> Personal Website:
>> https://secure-web.cisco.com/1U2YwX0bDR_z5hbNqh-SwwcaIAvqXblSjXFzJsl5I8YLZs4-d9hX9PRTgv6Ku2pdEBDTOYFMvj5WwtW9bXw4_BXCpqBpIWJB65qDZWpF75BfqZJE4-JCmxuYJwwsOr144xt-ruC7iDZKvpHSsxdyL-z0_rvZnJe0gG1r9bRiwhxz7usBUmhV_6iKeGBMTgNlP3fDtXPXDj-Dd0g4Z2D1YcqmebFCHfDczdNgVX1hKDWlJPMb9ThLqtcahkfY8RZoGHRNkY5FoDig1AttMfcX0kThneIc3UmIZpBhxyqI-W6oTOMFp63XE_sHIJUmnDuXnk359qwmErYhgEj7CjUi_yYp_rnQU9mh817-QLNfPADUugAEecelVJB3KYlTR5XqGmVlwDV0v-xxR2aeIFEx9JFoOtWjfL8pdOZvNtCcNtTI6TuFvvzlpQiqVZZoHyYU6yAECc_FzWoGXnXMrFT49HCFslpyrYkANy4c1QECM48k/https%3A%2F%2Fwww.sinabahram.com
>> 
>> -----Original Message-----
>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Ed Summers
>> via BlindMath
>> Sent: Friday, September 13, 2019 5:11 PM
>> To: Blind Math list for those interested in mathematics <
>> blindmath at nfbnet.org>
>> Cc: Ed Summers <Ed.Summers at sas.com>
>> Subject: Re: [BlindMath] Low vision student wanting to hear math on a Mac
>> 
>> Please verify your markup is correct. I just tested equations on this page
>> using VO + Safari on my iPhone. Works great. My sighted colleague confirmed
>> full screen display of equations and terms.
>> 
>> 
>> https://support.freedomscientific.com/content/html/jawshq/MathML-Samples.htm
>> l
>> 
>> Ed
>> 
>> -----Original Message-----
>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Susan Kelmer
>> via BlindMath
>> Sent: Friday, September 13, 2019 4:41 PM
>> To: Blind Math list for those interested in mathematics <
>> blindmath at nfbnet.org>
>> Cc: Susan Kelmer <Susan.Kelmer at colorado.edu>
>> Subject: Re: [BlindMath] Low vision student wanting to hear math on a Mac
>> 
>> EXTERNAL
>> 
>> Yes, I've tried it with Safari and Voiceover.  I get an javascript error
>> just opening the file in Safari.
>> 
>> I appreciate everyone's advice and help!  I am still learning so many
>> things.
>> 
>> -Susan
>> 
>> -----Original Message-----
>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Ed Summers
>> via BlindMath
>> Sent: Friday, September 13, 2019 2:38 PM
>> To: Blind Math list for those interested in mathematics <
>> blindmath at nfbnet.org>
>> Cc: Ed Summers <Ed.Summers at sas.com>
>> Subject: Re: [BlindMath] Low vision student wanting to hear math on a Mac
>> 
>> Sina, well said. I agree 100%.
>> 
>> 
>> 
>> Susan, have you tried viewing your MathML  in Safari on iOS using
>> VoiceOver?
>> I haven't tested it in some time. However, in the past it had decent
>> braille/speech support and it also displays the equation, individual terms,
>> etc full screen. It's a really nice feature for users with low vision.
>> 
>> 
>> 
>> The video in this blog post shows how to access MathML in an iBook.
>> However, the behavior is the same in Safari.
>> 
>> 
>> https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fsecure-web
>> .cisco.com
>> %2F1pfRZpLyxwF0kR3bPQ2ndLOypWMTbxeHH6C7vbxk19sGe0SIABYm2T1gWuUnGF-
>> 
>> Wz_Dw2R7Fhubv_DZD8ARHtJHz-a1ceh7BHKtdCYh-Z2oWaNp2kPwOCMU8WqmzH2L8_vm3_9NeZO2
>> 
>> iOzP9VaIxN-i2pE6XYWDn8A3z2RiwnpnYAXvJFhXZXvzX_8_4ozT3N-ShwqPBuJAH05sKoo475GK
>> 
>> N2OObgMkLBDuC5tdXCpt_sqhCtka8g8f6x-p22nvjqq7fYJw2QNorzz0KeI2OeylWfwO19rwWPcg
>> 
>> uWgl-gxmBVxb-fnPaZf1ONKD4mx2DW4fsuBUw7T_zpg2kHwyk0blieqw3XqXfvJ7tK_x1qqDvWB6
>> 
>> r6X6qyn2LHo-aUe8-TJpf5zbyeqp8l2pcfMp3aPWH7fLuejpTr1h81AzR6fgViQOrdZk9oU5vtw-
>> TG2Upt4bcaNH24inaBiKGhJrxP1Q%2Fhttps%253A%252F%252Fhttp://
>> secure-web.cisco.com/1bw1vkua2jlaga0_QV-IuO6yz0bodC4m9lmNpZjhCZ9YzoNgLnii7A8NKZhJ71A6LlvkeSjXXecH1VUmNLewAlhE5eZYdwg3r-tu8AyMLa_MyvpN9-J3h7EVJFov2V0iDBrQJvxJ7yMqHlHsAY7DV62qsc_AWOCnWUCgGdH6NBy2OzugrFVlgmzqmBYze2h99IFEdyQm0tKYO9BPRBx4ES9TiZJQXA-eBSLRG5wZX5GvT7nMgTebdQrxZW0iNP1krJLkXzsOVmlbeFO8LgXVtwB-JOUoT1BsUFt8PB7SeVxaYpcevHR1iq79lk0S3zBu-aJmJ33gNb6r0n3zUDe-r78xILnIB4GrkEnJ9M9SE9ctUnth9NmIM5E41Mrqp2mc-BUQnv2vwcmo2rl3dxXviCzZTRFe8hPdksnVl2jIUY86OWLgEpvupV_R5vp9YM73LfvXNVHEGLKxlcD1fWjCICA/http%3A%2F%2Fwww.perkinselearning.org%
>> 
>> 252Ftechnology%252Fblog%252Fhow-read-math-expressions-voiceover-ios-device&a
>> <http://secure-web.cisco.com/1bw1vkua2jlaga0_QV-IuO6yz0bodC4m9lmNpZjhCZ9YzoNgLnii7A8NKZhJ71A6LlvkeSjXXecH1VUmNLewAlhE5eZYdwg3r-tu8AyMLa_MyvpN9-J3h7EVJFov2V0iDBrQJvxJ7yMqHlHsAY7DV62qsc_AWOCnWUCgGdH6NBy2OzugrFVlgmzqmBYze2h99IFEdyQm0tKYO9BPRBx4ES9TiZJQXA-eBSLRG5wZX5GvT7nMgTebdQrxZW0iNP1krJLkXzsOVmlbeFO8LgXVtwB-JOUoT1BsUFt8PB7SeVxaYpcevHR1iq79lk0S3zBu-aJmJ33gNb6r0n3zUDe-r78xILnIB4GrkEnJ9M9SE9ctUnth9NmIM5E41Mrqp2mc-BUQnv2vwcmo2rl3dxXviCzZTRFe8hPdksnVl2jIUY86OWLgEpvupV_R5vp9YM73LfvXNVHEGLKxlcD1fWjCICA/http%3A%2F%2Fwww.perkinselearning.org%252Ftechnology%252Fblog%252Fhow-read-math-expressions-voiceover-ios-device&a>
>> mp;data=02%7C01%7Ced.summers%40sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7C
>> 
>> b1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710303910&sdata=xNs9
>> u4aUi94UqoSc3ZJ1GytTKMzedBsGVeFifM78IKE%3D&reserved=0
>> 
>> 
>> 
>> Hope that helps,
>> 
>> Ed
>> 
>> 
>> p.s. If he's low vision and he refuses to use a screen reader, I would be
>> willing to bet his reading rate is very slow. I'm on a mission to help all
>> students with VIB increase their reading rate to ~600 words per minute.
>> Please refer him to my blog series on this topic:
>> 
>> https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fsecure-web
>> .cisco.com
>> %2F1cSF4MiqJn2-ha0xenuWeZJslZ_rxhwN5F_OgCT4hre2rIqlkNKViddHgqIerU8
>> 
>> fql_ZBNcxs8RRFYUpRLa5jxdwfb0inKMuIL9CkC-x1AtGOK8dASDCEt6_Z5A6LDUZwEGpflj_maG
>> 
>> BxwNLQwqMwKkZwiDyHg59L2h3K3a1v0VA3f4QOIcsO6V1S1EyWTMx7CLTu2yDVnOzH0HU1yIqecK
>> 
>> fUO04DxIcamGxc6rU8_6PMNh7LVMxBZH9BcKUe_JLdOiJiAkYQnnu5GU1YwAM2RC-843nKDy0BD7
>> 
>> LdDmgOR5CXwt-Omf7DYyzi2D7HImWvhT_xHb7RDnOBO1I4uToDB1_8CqA6njV2ev7YdxMdmzSxHn
>> 
>> XJgIMglVe2mnKYL80MymUbGfoFKHN_AuobPvc83EJ_yPsGExN5RBorBG3PiwnPwS5NJPHI7TZRKM
>> eQvNcqumN0V808AeTx-zeKKV6RRg%2Fhttps%253A%252F%252Fhttp://
>> secure-web.cisco.com/1bw1vkua2jlaga0_QV-IuO6yz0bodC4m9lmNpZjhCZ9YzoNgLnii7A8NKZhJ71A6LlvkeSjXXecH1VUmNLewAlhE5eZYdwg3r-tu8AyMLa_MyvpN9-J3h7EVJFov2V0iDBrQJvxJ7yMqHlHsAY7DV62qsc_AWOCnWUCgGdH6NBy2OzugrFVlgmzqmBYze2h99IFEdyQm0tKYO9BPRBx4ES9TiZJQXA-eBSLRG5wZX5GvT7nMgTebdQrxZW0iNP1krJLkXzsOVmlbeFO8LgXVtwB-JOUoT1BsUFt8PB7SeVxaYpcevHR1iq79lk0S3zBu-aJmJ33gNb6r0n3zUDe-r78xILnIB4GrkEnJ9M9SE9ctUnth9NmIM5E41Mrqp2mc-BUQnv2vwcmo2rl3dxXviCzZTRFe8hPdksnVl2jIUY86OWLgEpvupV_R5vp9YM73LfvXNVHEGLKxlcD1fWjCICA/http%3A%2F%2Fwww.perkinselearning.org%
>> 
>> 252Ftechnology%252Fblog%252Fhow-teach-your-students-read-600-words-minute---
>> 
>> part-1&data=02%7C01%7Ced.summers%40sas.com%7C92f4686e1a154c2afff608d7388
>> 
>> af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710303910&sd
>> ata=iCsFFzdaqxMSvmu7UaK%2BYGHAgTu0xr%2BPTl1CXDtA7B0%3D&reserved=0
>> <http://secure-web.cisco.com/1bw1vkua2jlaga0_QV-IuO6yz0bodC4m9lmNpZjhCZ9YzoNgLnii7A8NKZhJ71A6LlvkeSjXXecH1VUmNLewAlhE5eZYdwg3r-tu8AyMLa_MyvpN9-J3h7EVJFov2V0iDBrQJvxJ7yMqHlHsAY7DV62qsc_AWOCnWUCgGdH6NBy2OzugrFVlgmzqmBYze2h99IFEdyQm0tKYO9BPRBx4ES9TiZJQXA-eBSLRG5wZX5GvT7nMgTebdQrxZW0iNP1krJLkXzsOVmlbeFO8LgXVtwB-JOUoT1BsUFt8PB7SeVxaYpcevHR1iq79lk0S3zBu-aJmJ33gNb6r0n3zUDe-r78xILnIB4GrkEnJ9M9SE9ctUnth9NmIM5E41Mrqp2mc-BUQnv2vwcmo2rl3dxXviCzZTRFe8hPdksnVl2jIUY86OWLgEpvupV_R5vp9YM73LfvXNVHEGLKxlcD1fWjCICA/http%3A%2F%2Fwww.perkinselearning.org%252Ftechnology%252Fblog%252Fhow-teach-your-students-read-600-words-minute---part-1&data=02%7C01%7Ced.summers%40sas.com%7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710303910&sdata=iCsFFzdaqxMSvmu7UaK%2BYGHAgTu0xr%2BPTl1CXDtA7B0%3D&reserved=0>
>> 
>> 
>> 
>> 
>> 
>> -----Original Message-----
>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Sina Bahram
>> via BlindMath
>> Sent: Thursday, September 12, 2019 12:46 PM
>> To: 'Blind Math list for those interested in mathematics'
>> <blindmath at nfbnet.org>
>> Cc: Sina Bahram <sina at sinabahram.com>
>> Subject: Re: [BlindMath] Low vision student wanting to hear math on a Mac
>> 
>> 
>> 
>> EXTERNAL
>> 
>> 
>> 
>> Susan,
>> 
>> 
>> 
>> It's not fair, but sometimes we need to use the right tool for the job.
>> 
>> Currently, a Mac is simply the wrong tool for reading and exploring
>> mathematics. Your student needs to understand this. Is the resistance from
>> a lack of understanding, a resistance to change, or something else? They
>> may be asked to learn different platforms in an eventual job as well, so
>> they should start now when they arguably have more free-time and resources
>> to help them, such as yourself.
>> 
>> 
>> 
>> They can do their email, games, and whatever else they like on their Mac,
>> but Windows provides you NVDA, and NVDA+MathPlayer gets you excellent
>> speech and Braille for the mathematics encoded as you have described.
>> 
>> 
>> 
>> They don't even need to change their hardware, necessarily, as they could
>> run Windows inside of a VM on their Mac, thereby taking advantage of both
>> worlds.
>> 
>> 
>> 
>> If they are unwilling to change, then I wish you both luck, and know that
>> you can't always convince folks to use the right solution, even when you
>> try all sorts of rational and emotional arguments. Try not to take that too
>> hard, as it's out of your control.
>> 
>> 
>> 
>> Thanks for what you do, by the way, it makes a huge impact in people's
>> lives.
>> 
>> 
>> 
>> Take care,
>> 
>> Sina
>> 
>> 
>> 
>> President, Prime Access Consulting, Inc.
>> 
>> Phone: 919-345-3832
>> 
>> 
>> https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.PAC.bz
>> 
>> &data=02%7C01%7Ced.summers%40sas.com%7C92f4686e1a154c2afff608d7388af0e1%
>> 
>> 7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710303910&sdata=BF
>> rEcpmsIyoFBT4TXxb9vQkgZLI4LjPExfvnESCYqxQ%3D&reserved=0
>> <https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.PAC.bz&data=02%7C01%7Ced.summers%40sas.com%7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710303910&sdata=BFrEcpmsIyoFBT4TXxb9vQkgZLI4LjPExfvnESCYqxQ%3D&reserved=0>
>> 
>> Twitter: @SinaBahram
>> 
>> Personal Website:
>> 
>> https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.sinaba
>> 
>> hram.com&data=02%7C01%7Ced.summers%40sas.com%7C92f4686e1a154c2afff608d73
>> 88af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710303910&amp
>> <https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.sinabahram.com&data=02%7C01%7Ced.summers%40sas.com%7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710303910&amp>
>> ;
>> sdata=zGX%2Bbda4ghSlAj3%2BqAA%2BMLWg1x4HD%2BiFMC5CYsWSHGw%3D&reserved=0
>> 
>> 
>> 
>> -----Original Message-----
>> 
>> From: BlindMath <blindmath-bounces at nfbnet.org> On Behalf Of Susan Kelmer
>> via BlindMath
>> 
>> Sent: Thursday, September 12, 2019 12:36 PM
>> 
>> To: blindmath at nfbnet.org
>> 
>> Cc: Susan Kelmer <Susan.Kelmer at colorado.edu>
>> 
>> Subject: [BlindMath] Low vision student wanting to hear math on a Mac
>> 
>> 
>> 
>> I've been on this list for several years and read much of what you post,
>> and have learned a lot.  I'm an alternate format provider for students at
>> the University of Colorado, and I have a new problem and don't know how to
>> help my student.
>> 
>> 
>> 
>> He is a math and computer science major with low vision and refuses to
>> move to a Windows machine or to use a screen reader.  He has familiarity
>> with Voiceover on his Mac.  He has some vision and has gotten through math
>> in the past with enlargements, but he's reached a point in his college
>> career where this is just not going to be enough.
>> 
>> 
>> 
>> I'm creating math-enabled files, that can be read easily on a Windows
>> machine, but I'm not having any luck getting this to work on a Mac.  I've
>> tried epub3, which works but doesn't read all the characters in an equation.
>> 
>> I've tried just using a mathml file (I get a javascript error when I try
>> to open it in Safari and then it opens the file but all the math is
>> missing), I've tried straight-up word files with Mathtype.  Nothing is
>> working.  I can't seem to adjust the verbosity settings on voiceover to
>> anything but "all" or "some" but no fine tuning.  So while it reads the
>> math it puts in a lot of extra stuff if I am using the "all" setting, and
>> doesn't read the basics (like parenthesis) if I set it to "some."  I am
>> creating all files in Word with Mathtype on a PC.
>> 
>> 
>> 
>> Any suggestions for me and my student?
>> 
>> 
>> 
>> Susan Kelmer
>> 
>> Alternate Format Production Program Manager Disability Services University
>> of Colorado Boulder
>> 
>> 303-735-4836
>> 
>> 
>> 
>> _______________________________________________
>> 
>> BlindMath mailing list
>> 
>> BlindMath at nfbnet.org
>> 
>> 
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>> 
>> 2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=02%7C01%7Ced.summers%40
>> <https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=02%7C01%7Ced.summers%40>
>> sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2
>> 
>> f%7C0%7C0%7C637040041710303910&sdata=h8b7nsUDu887g543CanfJxLGGKfLgtn02Kr
>> N2eYfyeo%3D&reserved=0
>> 
>> To unsubscribe, change your list options or get your account info for
>> 
>> BlindMath:
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>> 
>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
>> 2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fsina%2540sinabahram.com
>> &dat
>> a=02%7C01%7Ced.summers%40sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d
>> 
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>> l53opOWzKMFzEbhnseU2%2Bcmk3LwYQZx9A%3D&reserved=0
>> 
>> BlindMath Gems can be found at
>> 
>> <
>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blinds
>> 
>> cience.org%2Fblindmath-gems-home&data=02%7C01%7Ced.summers%40sas.com%7C9
>> 
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>> &reserved=0>
>> 
>> 
>> 
>> 
>> 
>> _______________________________________________
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>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
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>> 2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=02%7C01%7Ced.summers%40
>> <https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=02%7C01%7Ced.summers%40>
>> sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2
>> 
>> f%7C0%7C0%7C637040041710313907&sdata=xyxhSVZQao6%2BXyiz8D8wPzJf72buDhnXB
>> axXkvxqdNA%3D&reserved=0
>> 
>> To unsubscribe, change your list options or get your account info for
>> BlindMath:
>> 
>> 
>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
>> 2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fed.summers%2540sas.com
>> &data
>> =02%7C01%7Ced.summers%40sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5
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>> x0aGCJ7udEtEZL2drDdkrYblXh1adm50%3D&reserved=0
>> 
>> BlindMath Gems can be found at
>> <
>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blinds
>> 
>> cience.org%2Fblindmath-gems-home&data=02%7C01%7Ced.summers%40sas.com%7C9
>> 
>> 2f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7
>> 
>> C637040041710313907&sdata=uDajamzHIY7cN0AUAJGJBKqwZGrq0Elmti0Yqo2Z0jg%3D
>> &reserved=0>
>> _______________________________________________
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>> <https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=02%7C01%7Ced.summers%40>
>> sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2
>> 
>> f%7C0%7C0%7C637040041710313907&sdata=xyxhSVZQao6%2BXyiz8D8wPzJf72buDhnXB
>> axXkvxqdNA%3D&reserved=0
>> To unsubscribe, change your list options or get your account info for
>> BlindMath:
>> 
>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
>> 2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fsusan.kelmer%2540colorado.edu
>> &a
>> mp;data=02%7C01%7Ced.summers%40sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7C
>> 
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>> wJQZr%2Fywab5UQRaq0fRLBkpqhwfCD%2FolaIjbpYU%3D&reserved=0
>> BlindMath Gems can be found at
>> <
>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fsecure-web
>> .cisco.com
>> %2F1ShkP4hlepWfpnjJeJvyYPhVPte2reMWKP_4C4Na37k5ZZITEN0o4WDYdbPb7jO
>> 
>> SiObERaQxoZKKUoP0aUYj4t-vKz4Y_8-xd6PuOpDcpxzqLKL-PAiDXOAY2OA5uEXIvpaefV4wzV5
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>> 
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>> 0qboGEr8AUosbI7kp0pSkuhMu5cA%2Fhttp%253A%252F%252Fhttp://
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>> 
>> lindmath-gems-home&data=02%7C01%7Ced.summers%40sas.com%7C92f4686e1a154c2
>> 
>> afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C6370400417103
>> <http://secure-web.cisco.com/15GqxLCDvwn-05v_mgce0nwRR66GgrAQDAaUI69TR9FLkAVR4tksvp0pfdZTIGSbNoa_a73h0awDHkvyG06jjaZBj9URIG4637GDYEXA5bu8JKiYbFZmk5HcPGVvzx2FQiTjHIC_LC6jXp-wWBn_fQ8M4sZanllhYMoZBmjs0Nfyz-TzFJXlEXuqEWsFXG_0CZH8sLkUz4wZLGVqS3Is2RXbCLsVWhNodMOojqEtxxdhyBBiveRFVI6LXS4Y4LfdnRTmVYnhVzAIte9Wc5KawtdwwEQCHyVduYVfA3B4Xtb5w7vipZSfezPUe9V0DpA22L3B6Ud03UyS9eDMtiCeaKmcHMvSpaUKcI2TZcxcQ9espCHcMXkg33daWOAqNraHK6mko-iEillHMxUJHtaGWPz67eBGI-lNVgL_TvakXP52tKfz8wWAy4i6qhW7ItmnbyL4QCA3G01n6TazfnGTyVA/http%3A%2F%2Fwww.blindscience.org%252Fblindmath-gems-home&data=02%7C01%7Ced.summers%40sas.com%7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C6370400417103>
>> 
>> 13907&sdata=0HlKpzxd1hhUWVt6bkafEIgjI1wWy5m5Xmq1LQ%2BfeoQ%3D&reserve
>> d=0>
>> 
>> 
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>> <https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org&data=02%7C01%7Ced.summers%40>
>> sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2
>> 
>> f%7C0%7C0%7C637040041710313907&sdata=xyxhSVZQao6%2BXyiz8D8wPzJf72buDhnXB
>> axXkvxqdNA%3D&reserved=0
>> To unsubscribe, change your list options or get your account info for
>> BlindMath:
>> 
>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
>> 2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fed.summers%2540sas.com
>> &data
>> =02%7C01%7Ced.summers%40sas.com
>> %7C92f4686e1a154c2afff608d7388af0e1%7Cb1c14d5
>> 
>> c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710313907&sdata=0S8O3p0HI0f
>> x0aGCJ7udEtEZL2drDdkrYblXh1adm50%3D&reserved=0
>> BlindMath Gems can be found at
>> <
>> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.blinds
>> 
>> cience.org%2Fblindmath-gems-home&data=02%7C01%7Ced.summers%40sas.com%7C9
>> 
>> 2f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7
>> 
>> C637040041710313907&sdata=uDajamzHIY7cN0AUAJGJBKqwZGrq0Elmti0Yqo2Z0jg%3D
>> &reserved=0>
>> 
>> _______________________________________________
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>> BlindMath:
>> 
>> http://nfbnet.org/mailman/options/blindmath_nfbnet.org/sina%40sinabahram.com
>> BlindMath Gems can be found at
>> <
>> http://secure-web.cisco.com/1AGPaOfcksjiGMVhMmi7V1KZWsqJcrvrTdc0c3M6lAZGlEE4cuT9nNbPGjMwFS7GPYIeDh_ca7NquwOfiAT7-ygFPGcH-MKazkBuwsUleqMfRyPWRQjsqAvC3XXAHS0lpNQc_nooHzQ_C80dupvTK4oHeXE0pdtgTmiTeLHMuWeThP3v4gRu010d_lffhyKa-twzZ9ha3QPfQQ61BS-EAGpRZqfPe5EZyGCsCU7Z1GKCjZAiCSyr0jlUHL7Xj0QR4l6JNxbT3HXo_NJx-UV8v5MwBAua96UzDLOuYFjSD23v33wol83ZhoUuARYZMVua8TFBVsZMFb3M7rHAr2MDxtjCxaof5P3nDG2hh3x8ekA9Iq8yfEEYjzyxU_ksXMtSwy-SSauPV2osvQVcCQoya9G-YUZj3rg2dk_x7URVTSS0gqCxR29I7wi4ZicgsNY-pf5xceMojBqSKqVyvkz1vIA/http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home
>>> 
>> 
>> 
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>> To unsubscribe, change your list options or get your account info for
>> BlindMath:
>> 
>> http://nfbnet.org/mailman/options/blindmath_nfbnet.org/susan.kelmer%40colorado.edu
>> BlindMath Gems can be found at <
>> http://secure-web.cisco.com/1AGPaOfcksjiGMVhMmi7V1KZWsqJcrvrTdc0c3M6lAZGlEE4cuT9nNbPGjMwFS7GPYIeDh_ca7NquwOfiAT7-ygFPGcH-MKazkBuwsUleqMfRyPWRQjsqAvC3XXAHS0lpNQc_nooHzQ_C80dupvTK4oHeXE0pdtgTmiTeLHMuWeThP3v4gRu010d_lffhyKa-twzZ9ha3QPfQQ61BS-EAGpRZqfPe5EZyGCsCU7Z1GKCjZAiCSyr0jlUHL7Xj0QR4l6JNxbT3HXo_NJx-UV8v5MwBAua96UzDLOuYFjSD23v33wol83ZhoUuARYZMVua8TFBVsZMFb3M7rHAr2MDxtjCxaof5P3nDG2hh3x8ekA9Iq8yfEEYjzyxU_ksXMtSwy-SSauPV2osvQVcCQoya9G-YUZj3rg2dk_x7URVTSS0gqCxR29I7wi4ZicgsNY-pf5xceMojBqSKqVyvkz1vIA/http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home
>>> 
>> 
>> 
>> _______________________________________________
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>> BlindMath:
>> 
>> http://nfbnet.org/mailman/options/blindmath_nfbnet.org/derek.riemer%40colorado.edu
>> BlindMath Gems can be found at <
>> http://secure-web.cisco.com/1ydawOjtT6PwYdXC1i-suzdomaXsouVpWL7-s7gBtsMnxy0vNntQPJaGqJaOGrbTpTVeDwCWTERIF0-INzvMqP2ZaBF-r3oYx0mOe2LJkUCw-95LgfipSLdOSMA5NUkMDPIbghkBA08FndS3lar3tUPs8_V0603XV7qXnIjZfomFWVv5RQ7AuX0b6HeRJ5LHRvIH3aA-04WXaWdhD-JKds4_wCxRIilCoirWXL4_lXUQliTvRzIboWJYGZhwcPoT-Ho0MUH8yXdmipdhdFE2YZo-YaqaaUS01Xk9x56TkbDT9SJM99HVMe08IcvqmTRCxwFuopZ_Lu8KqUyHNPBPFp4W9W5WSBTxLKuNh3YckYbxIW3Z0iGCgPowX_WGbHpFq4fwlfwIa05g2Lc3wUZzLvZ57kzo4mrpAHpn4fQqUXbLJtaqicSxN1NdY3clrUAT7L7t3ll7Fg3PTi-WZfKXwBw/http%3A%2F%2Fwww.blindscience.org%2Fblindmath-gems-home
>>> 
>> 
>> 
> 
> -- 
> 
> Derek Riemer: Improving the world one byte at a time!
> 
>   - University of Colorado Boulder Department of computer science, 4th
>   year undergraduate student.
>   - Accessibility enthusiast.
>   - Proud user of the NVDA screen reader.
>   - Open source enthusiast.
>   - Skier.
> 
> Personal website <http://derekriemer.com>
> _______________________________________________
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> BlindMath Gems can be found at <http://www.blindscience.org/blindmath-gems-home>

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