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

Sun Sep 15 20:40:50 UTC 2019

https://github.com/derekriemer/latex-access-matrix
If you need me to compile it for you, let me know. I was working on
thebraille router bit at one point, so you could tap on a braille cell and
NVDA would route for you. Emacspeak also has bindings. I want to rewrite
its core so the translation to nemeth uses unicode braille, to resolve all
ambiguity.

On Sun, Sep 15, 2019 at 5:12 AM Kevin Fjelsted <kfjelsted at gmail.com> wrote:

> > 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%2Fhttp://secure-web.cisco.com/1aTqkz7lK5_GPvizoHZbBmEwk8ZVHlxNd7HzrQwgODTcm1XGnYDY1guq0gIgumtDCH8uYxiFohsV65CXP7aq0nNHukEAVLRLFGwEZ2uxCCqvCZWRkR6Eip0XXEdyfO_KclvqUf9-mWGlN_fJiSrQhuEyJEWPMKOENAzExeooFZw6zJSQqvWukwOyJKKk_sEbNu9Gv-wjg9gQd-bD3rThWhyxlFxo2Xpqv7J_EjkTjI-ExQWB-thHqso_z7hsei8IpzpCgGZJdOtIvYy4xXtGokRhx7vrDLUahs0mKQngAkFzjcSnomJWpTEkce3wie0rmVKAgXn9sTGCi26tr7OUfLcQcj6WWrbv5TSEF_RC8pTv-gGVfGh12RIrJ5EOFX2n32tq-rgXOA2yneI2JKqi7HqGJC9KrZyuIw7c1w0YNe8ONZlbbOk-5QLsCZw00p74z6Fn18FJIrwGDqs6ri0qsJg/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%2Fhttp://secure-web.cisco.com/1aTqkz7lK5_GPvizoHZbBmEwk8ZVHlxNd7HzrQwgODTcm1XGnYDY1guq0gIgumtDCH8uYxiFohsV65CXP7aq0nNHukEAVLRLFGwEZ2uxCCqvCZWRkR6Eip0XXEdyfO_KclvqUf9-mWGlN_fJiSrQhuEyJEWPMKOENAzExeooFZw6zJSQqvWukwOyJKKk_sEbNu9Gv-wjg9gQd-bD3rThWhyxlFxo2Xpqv7J_EjkTjI-ExQWB-thHqso_z7hsei8IpzpCgGZJdOtIvYy4xXtGokRhx7vrDLUahs0mKQngAkFzjcSnomJWpTEkce3wie0rmVKAgXn9sTGCi26tr7OUfLcQcj6WWrbv5TSEF_RC8pTv-gGVfGh12RIrJ5EOFX2n32tq-rgXOA2yneI2JKqi7HqGJC9KrZyuIw7c1w0YNe8ONZlbbOk-5QLsCZw00p74z6Fn18FJIrwGDqs6ri0qsJg/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
> >>
> >>
> >>
> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
> >>
> >>
> 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:
> >>
> >>
> >>
> 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
> >>
> >>
> 5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710303910&sdata=189r1DsxyI
> >> 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
> >>
> >>
> 2f4686e1a154c2afff608d7388af0e1%7Cb1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7
> >>
> >>
> C637040041710303910&sdata=WMKqSRvPrKihxnrMGiWMw84QoMBF6Ncm8c4FuTtOlyo%3D
> >> &reserved=0>
> >>
> >>
> >>
> >>
> >>
> >> _______________________________________________
> >>
> >> BlindMath mailing list
> >>
> >> BlindMath at nfbnet.org
> >>
> >>
> >>
> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
> >>
> >>
> 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
> >>
> >>
> 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>
> >> _______________________________________________
> >> BlindMath mailing list
> >> BlindMath at nfbnet.org
> >>
> >>
> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
> >>
> >>
> 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%2Fsusan.kelmer%
> 2540colorado.edu
> >> &a
> >> mp;data=02%7C01%7Ced.summers%40sas.com
> >> %7C92f4686e1a154c2afff608d7388af0e1%7C
> >>
> >>
> b1c14d5c362545b3a4309552373a0c2f%7C0%7C0%7C637040041710313907&sdata=8BTe
> >> 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
> >>
> >>
> d9vksp6Ky-PAWmTc8MOoeAij7C3xfLNtRVvljBt8DIOfGRAlxByCDci2MHkNZ2AD0tVYZb1pXKAi
> >>
> >>
> YIEaO5CzKv3LJHwovKqZRh8oqhYo_1SUCRdXrLzHoqoTCV9rJqePyN5H23VfL9Qj9D_z_WM7-RsB
> >>
> >>
> i2poIxtL0lApzGOPS5cazjGBoB8S_MB2b1Y5lhHzvGZQFifHQBLBmQW6D3LRvBfWEOlPs1YVSlyT
> >>
> >>
> B8pYV9K2WsHHQ8Xpre0wuMqmE-LGfWLT1sUQ_luNIe7nU-vwHyuQQTx8-hGS8I1tUkuIgYYASgHU
> >> 0qboGEr8AUosbI7kp0pSkuhMu5cA%2Fhttp%253A%252F%252Fhttp://
> >>
> secure-web.cisco.com/15GqxLCDvwn-05v_mgce0nwRR66GgrAQDAaUI69TR9FLkAVR4tksvp0pfdZTIGSbNoa_a73h0awDHkvyG06jjaZBj9URIG4637GDYEXA5bu8JKiYbFZmk5HcPGVvzx2FQiTjHIC_LC6jXp-wWBn_fQ8M4sZanllhYMoZBmjs0Nfyz-TzFJXlEXuqEWsFXG_0CZH8sLkUz4wZLGVqS3Is2RXbCLsVWhNodMOojqEtxxdhyBBiveRFVI6LXS4Y4LfdnRTmVYnhVzAIte9Wc5KawtdwwEQCHyVduYVfA3B4Xtb5w7vipZSfezPUe9V0DpA22L3B6Ud03UyS9eDMtiCeaKmcHMvSpaUKcI2TZcxcQ9espCHcMXkg33daWOAqNraHK6mko-iEillHMxUJHtaGWPz67eBGI-lNVgL_TvakXP52tKfz8wWAy4i6qhW7ItmnbyL4QCA3G01n6TazfnGTyVA/http%3A%2F%2Fhttp://secure-web.cisco.com/1GuxxJ9roa0CBF0k1psd9bsgEw6bBJZoq1lmhIrf1CKy-bm74_o7bWfae2UqIyjK5xImVJPJs-BjUUa0FYuAVFASL3FYxMmoI7LgeVwRNmxMiv4cj9cWwwpBd8rNteLQbPEoL8RCPG8NTA0VDjLJ2duIwAKEsifGqjiwazH8GiL0qPUsBmQYH48ltG4uNWoZ9y4uwkM1lb_wSOC239ZVoCDMFLldMpxqbVlFbIMocyr0ShFRfOsD5wcFzHzCwHj6OsvX_yxf4W5HMFBGgnREc7YMntqYjhhDquAkHvXbIw7OuzNkawaC0VcdnRVs04S9vTvphq0G5nBmi3W5jFp75Aeh1SFZvRQPSmrP-v4jgiJkdM0Cho5xGY9OqmO97L7EZz1y-5tjI0_Ww1E5WZ31jcE71Fz58ef8Jkmw9yMD0Miu9nHxH0qAZ9fjp1VLJj1ES7BrH4OE3u1UQN3xzFwkvjA/http%3A%2F%2Fwww.blindscience.org%252Fb
> >>
> >> 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>
> >>
> >>
> >> _______________________________________________
> >> BlindMath mailing list
> >> BlindMath at nfbnet.org
> >>
> >>
> https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fnfbnet.org%
> >>
> >>
> 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
> >>
> >>
> 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>
> >>
> >> _______________________________________________
> >> BlindMath mailing list
> >> BlindMath at nfbnet.org
> >>
> http://secure-web.cisco.com/1hyCwh_luipDqBhwFvztbFe8Lm-AVdh78ktg9tel2XSliZqbtHR5LOV_QbOLsJS0LxnlA297BZu96QW-l-bTDct_Ydlm4pV5Cwugj4DYFpNJdIuT0jfFr18KrYNCI2ygXWXYimmCPvydevQZOmQBXQKBSeVjhD4tUTTU_3lOXI9ckDT5aCiovqIccooBZFrV1Kw3XZiYuIfLL6_2zmd1lHI7A1nKa6bSfvz-XM9yLeyCEL7li5npNqAR6ZmxAI1huwPjIKj1IWuLQ-0EotcLF01yDUiB965oHlGy54SmJ8ZXlznbDElTA_Etnocon-sTkx7KMOiZepnX6HjwIVltr046p47EdosJiNPtwc-oxEKwFMlWhPHibZvEcz38LD68XUF-PyYZkKmdU6b-npD9vjUEPrJ67hgbsCuHxH5L7zy7fQPVjx_iuXiEnfoA0on-sS23z2QASRReQQspu9S-ycg/http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org
> >> To unsubscribe, change your list options or get your account info for
> >> BlindMath:
> >>
> >>
> http://secure-web.cisco.com/1H2bUWz67tU1KdLklQe7eYxsRoieScpNkEjpxstdpxuIZOAdIFow3Sh3MV6Ao2Yt3G8Yb0XOcXFJCXlT5-5hppawGUMtGsjsNzKfkvtstd6sit9q-VM5jgj58OaS1bTIw_O9fCYYnA4n7a3-YGDhIxt3bM4xldt0Jz9itHoDD6jhBQMncLUjYBMRw2Rm0iwNKXM6KuCzyShBsxO_ac6Ip4uxSIUvzAHwNgHEQ9XJZaEKw4lTIALiiy6Wf_gaOUxwLLAudAiAHBMecBrr0E-YgiN6XUccxKZJKpN87VY4_oNWxzwKonaRkzTjk7VKVZpqg7Bazn07IWe4M6EOSbKY3tN39kLkiYIW5x9tgsXzlqwdPGrwB28jcEf-5JRohofwUAfGMFU2uCUjrw5D3PlNOBEYna_h5T1w7x1gwgJhIOkkOV7L4mrnYDcS6cZw_fJSzcWKsDdtJkO394ICz7sPG9A/http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fsina%2540sinabahram.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
> >>>
> >>
> >>
> >> _______________________________________________
> >> BlindMath mailing list
> >> BlindMath at nfbnet.org
> >>
> http://secure-web.cisco.com/1hyCwh_luipDqBhwFvztbFe8Lm-AVdh78ktg9tel2XSliZqbtHR5LOV_QbOLsJS0LxnlA297BZu96QW-l-bTDct_Ydlm4pV5Cwugj4DYFpNJdIuT0jfFr18KrYNCI2ygXWXYimmCPvydevQZOmQBXQKBSeVjhD4tUTTU_3lOXI9ckDT5aCiovqIccooBZFrV1Kw3XZiYuIfLL6_2zmd1lHI7A1nKa6bSfvz-XM9yLeyCEL7li5npNqAR6ZmxAI1huwPjIKj1IWuLQ-0EotcLF01yDUiB965oHlGy54SmJ8ZXlznbDElTA_Etnocon-sTkx7KMOiZepnX6HjwIVltr046p47EdosJiNPtwc-oxEKwFMlWhPHibZvEcz38LD68XUF-PyYZkKmdU6b-npD9vjUEPrJ67hgbsCuHxH5L7zy7fQPVjx_iuXiEnfoA0on-sS23z2QASRReQQspu9S-ycg/http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org
> >> To unsubscribe, change your list options or get your account info for
> >> BlindMath:
> >>
> >>
> http://secure-web.cisco.com/1wq6jPW7mtPYysUoDPhEj2Kx9Lf9VkakHMfyCbG_d2cBmsbc3UA0JmVj-fhzVjb6CiMXLHcKgpc4JoE0idWbjPSsrovL-sAgXTpBXq5f-C975XjJy7673q0krt9ij2kGVQH3p0qUaS_SiR1q2kbw8Y_TtiwR83QtT2fNO6599P0LPrpfFA7B_tU9fFj4d4jSscw7RcOGlt2HQ4qxHAR6fOo4HCF2GDsimFeHu1Wxndu9UvK1MmcZaq1MvAeKN6bh_amWW3infi20IBx_qs-mrXcBh63Jk80jwrhOstS_edXnRtg59tcebpiDf4J820xs87JaBtz7bwwKmUnQhDqncTeFszACOF4iGNw8N5k8egn-3dqm2zm2j45KyJOFJ2JidTT-KhxqZyCJ9gWZzvWMOZzOydScTXm6rqHuRLH7Tgv9IN6bL-hWXuwOjvFEyg7_8Jd2vbo7LRHiGL1wC0zuHqw/http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fsusan.kelmer%2540colorado.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
> >>>
> >>
> >>
> >> _______________________________________________
> >> BlindMath mailing list
> >> BlindMath at nfbnet.org
> >>
> http://secure-web.cisco.com/1hyCwh_luipDqBhwFvztbFe8Lm-AVdh78ktg9tel2XSliZqbtHR5LOV_QbOLsJS0LxnlA297BZu96QW-l-bTDct_Ydlm4pV5Cwugj4DYFpNJdIuT0jfFr18KrYNCI2ygXWXYimmCPvydevQZOmQBXQKBSeVjhD4tUTTU_3lOXI9ckDT5aCiovqIccooBZFrV1Kw3XZiYuIfLL6_2zmd1lHI7A1nKa6bSfvz-XM9yLeyCEL7li5npNqAR6ZmxAI1huwPjIKj1IWuLQ-0EotcLF01yDUiB965oHlGy54SmJ8ZXlznbDElTA_Etnocon-sTkx7KMOiZepnX6HjwIVltr046p47EdosJiNPtwc-oxEKwFMlWhPHibZvEcz38LD68XUF-PyYZkKmdU6b-npD9vjUEPrJ67hgbsCuHxH5L7zy7fQPVjx_iuXiEnfoA0on-sS23z2QASRReQQspu9S-ycg/http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org
> >> To unsubscribe, change your list options or get your account info for
> >> BlindMath:
> >>
> >>
> http://secure-web.cisco.com/1aKrlzcxb-BiBZsRKZuGCwpP_v2wB5wh5quwdla0jsLfnTOehYLqepAoDtBP5Fvr9phSHZmgkRQ-0Dws2zhHaxvb7WdnxgXiho4OfZRR_DjsWelB3avs1VkgbujNH-UIq-hwCYGZAljn443RCWw3MEh_zDQ0So3gGKJb7hkCrxLF1fZCiFKWulme1UVSHKNz4y9-nKi-ODdvJqVzZ5kWiPYVT4iNGzHJBCNy1B_78iSVZ8CRiGW7ngDZENwZrd6ze0z4oxhzV8SGL5tH80EAXRX3Jwkc2zavR3mcUbwZGcWcE0CEd9fWb1PwBzP_aAJiq51_LGBPe3E6nd9V-cmnGbI6BArsrIcnYnRwx8GLWszY4AfLYawz1chv8er3gQk3GtcOB1ydjPko7B35-aXyXUacCfY5nEe7iBRyO90_eZ6Wbej-nNyKgS4f6ynFGUMilvLwPzcA-UOVic--tjo-0fw/http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fderek.riemer%2540colorado.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://secure-web.cisco.com/1VnXOyYwwTatV-z4Xe9brGQtre0L6a_4nI7Z-tQ0J8wo9rwNUMf6PDRiIHhqmLpi8gtrLh32a9m9pkdzFhmNmGdEFd_8_hErYGD7HB-jnFuSc735YF4a9Tq43PUD_O6fIVdqeqUt7MWCz7R1diAwTKwA3AVcjSwH4TtukOO306qhu7LbMYS6EJRsuKou1vI0bAae4KuR_kTSbGIwxRpzLV88aUMhsai6xh9VRwzcihWfWhOjja-DkwWrSvzPKOtrjbC9juT_onQPxgOwwk-FTkZV1Y9U5v8w-l3GsYl40BuzbZY2NL7n9jO8JfLiPAbQmSYUueZyl1vmV3BAj578-YtSvG_3t8-bI6Td8PM5_JDQxPuelC04TkECe2ePMYgltTPJlVu2YEo3-59cqi_K7NKRiiDDvfmi0wJvwZcvwmBvZcRWMI-WFKhlb5sgrX8NnZCBjg15rK-A_YU2SWvCQ8g/http%3A%2F%2Fderekriemer.com
> >
> > _______________________________________________
> > BlindMath mailing list
> > BlindMath at nfbnet.org
> >
> http://secure-web.cisco.com/1hyCwh_luipDqBhwFvztbFe8Lm-AVdh78ktg9tel2XSliZqbtHR5LOV_QbOLsJS0LxnlA297BZu96QW-l-bTDct_Ydlm4pV5Cwugj4DYFpNJdIuT0jfFr18KrYNCI2ygXWXYimmCPvydevQZOmQBXQKBSeVjhD4tUTTU_3lOXI9ckDT5aCiovqIccooBZFrV1Kw3XZiYuIfLL6_2zmd1lHI7A1nKa6bSfvz-XM9yLeyCEL7li5npNqAR6ZmxAI1huwPjIKj1IWuLQ-0EotcLF01yDUiB965oHlGy54SmJ8ZXlznbDElTA_Etnocon-sTkx7KMOiZepnX6HjwIVltr046p47EdosJiNPtwc-oxEKwFMlWhPHibZvEcz38LD68XUF-PyYZkKmdU6b-npD9vjUEPrJ67hgbsCuHxH5L7zy7fQPVjx_iuXiEnfoA0on-sS23z2QASRReQQspu9S-ycg/http%3A%2F%2Fnfbnet.org%2Fmailman%2Flistinfo%2Fblindmath_nfbnet.org
> > To unsubscribe, change your list options or get your account info for
> BlindMath:
> >
> http://secure-web.cisco.com/1NCadmIkgAO6cpxRHtKCKm-31TlPT75pFf_fOh_2rJpw2HRvyHLhA6Vlyitmmv_avQ22mc70C2W4afSiXu0AmLH99XPA1gMpju8vfvicMoYzS66oyiyE-uBYAMRW0o4TcnB77dCntKsc9yesNY5kHeSSfWnd6XGu-y9OkAfVbOfIWZnQHqKC_I0a6SQHoI_dgemkajLDYmiv1v9KeV2oCEmwWY__I2K7TOORlpiieaPj50G_YRHEt5NlwYYYmGezo8uV0hpYkFX-WILIA_I2NWj4lJbBh1Ow2Ega89ksDmNlrm6zo_f1K4qu-vvkG0BcKBHJY7S6MnhRzG5QsiF8zFRPNeESAzBW8Ak0V5PwlXedgRnwZSz1WpJ4mBdsYCEzlSPETDyiM0MyMDKQc13uglqpiMGeVuD_10y9S4sSjdM8c4QWqc8dHtsvfCY6s731VIeXY2672VJlVviZC4Dhk2Q/http%3A%2F%2Fnfbnet.org%2Fmailman%2Foptions%2Fblindmath_nfbnet.org%2Fkfjelsted%2540gmail.com
> > BlindMath Gems can be found at <
> http://secure-web.cisco.com/1PdCa6Wzo5ZQ-1clYfUqt6OZEEq3msHKNhQQb0QcXJahEErtHGeyvQRWCiYIMoQIa68vH-Hn1ZAUdLswyjBbOBDDMQhnlzL2PKOGK0jjhdUUfMV43ikpttopUpSm6TLLAOwVyp2couxzn0zG5E64RtEV2wOYppLnBTk7ExDuz0eCwmPXlkbAMBzhdmprlsFmoaRelkQoa7ePMrfDHObIsX0rFtbv0_vxyte1kjefWYlWkZB8txUaWkI23HQtSp6x-M7M7pJyODhjTpkaJyygMxDcgFoxZ9uqs2LB7kISrJEpaFDrQJciLVzXPeDRGb95UND5rqDiwRFgc1wUwrbZNwnqjeYgdBRMRYoZSAR1dUTMH3Z3RMvKVZFy8j_kjpmcaSc7mItcv5exHXgvA3pIYDwGkMSPEsbsCGajNcqtNPdW8-luyReq9_qW0Qtj62411N7qjqrluHQgnWm6rNxL7VQ/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>