[Blindmath] Matrices, appendices, &, now, vertices

Alastair Irving alastair.irving at sjc.ox.ac.uk
Sun Jul 11 19:12:58 UTC 2010


Hi Peter, and others

I've just finished a mathematics degree and did all my work on computer 
using speech and a 1-line (40 cell) Braille display.  I'm really not 
sure that a full page display would have made things any simpler.

Yes, solutions can be very long, but I don't see how having the whole 
thing on a braille display at the same time would be of much assistance 
as you are still only able to look at one bit at a time.  It is very 
easy to move up and down a document to read previous lines, and in some 
ways I think its possibly easier only having the line on which you are 
focusing shown on the display, (it could be potentially easy to lose 
ones place if the display showed lots of lines).

Regarding calculators, I'm not really sure what you mean by "Do you guys 
think a scientific calculator can do calculus and linear
  algebra problems?"   A normal scientific calculator can do all the 
operations you're likely to need to do such problems yourself, (with the 
possible exception of matrix calculations).  However if you were meaning 
could a calculator solve a problem fully without human intervention then 
no, you'd need a symbolic algebra package, Maple, Mathematica, etc, to 
be able to do formal differentiation and integration, etc.


Hth

Alastair Irving
On 11/07/2010 19:12, Peter Wolfe wrote:
> It also is also with the es at the end like matrix as an alternative.
> Enough with this jibberish talk about plural and singular because I
> didn't  focus on that anyways. URL:http://en.wikipedia.org/wiki/Vertex
>       I want to know how a problem that can go longitude not latteral
> can actually work especially with graphing problems and in general
> calculus problems? I mean lots of problems can go for pages into a
> document and you would get lost especially generating the material
> from scratch. You can deduce from certain points but like peices of
> paper you would get lost eventually in my humble opinion. I want to
> know how a one line braille display can actually work or even a four
> line display. This is also my same problem with braille displays
> affectiveness in general and I think at this time till a full page
> display that we are left with a four liner with no image description
> till probably a decade or two from now or maybe never. I'm living
> within  reality and like to think of myself as a realist. You also
> might need to use a graphing calculator for these problems as well. Do
> you guys think a scientific calculator can do calculus and lineare
> algebra problems? I'm trying to also find the connection between
> reading publishers book inbralle and actually doing the test and how
> hard it was for most people. Then, did any of you use software in the
> class and if so how hard was it? My final question revolves around
> whether or not the test were broken down like show your problems steps
> or multiple choice or what type of problem? I think I had a
> combination when I took precalculus and realize it's different with
> each teacher as well but I'm taking calculus with 150+ so probably
> multiple choice with steps probably right?
>
> cordially,
> Peter
>
> On 7/11/10, Nelson Blachman<nelson.blachman at gmail.com>  wrote:
>> and "vertices" is the plural of "vertex."
>>
>>    Nelson
>> ----- Original Message -----
>> From: "Peter Wolfe"<sunspot005 at gmail.com>
>> To: "Blind Math list for those interested in mathematics"
>> <blindmath at nfbnet.org>
>> Sent: Sunday, July 11, 2010 10:25 AM
>> Subject: Re: [Blindmath] hydraulic full screen braille display
>>
>>
>>> Uncommonly it's  matrixes according to Wikipedia found at
>>> URL: http://en.wikipedia.org/wiki/Matrix_(mathematics)
>>> note: technically both are right though and maybe we all just learned
>>> something.
>>>
>>> On 7/11/10, Christine Szostak<szostak.1 at osu.edu>  wrote:
>>>> Hi Peter,
>>>>    Just for clarification, "matricies" is the plural of matrix.
>>>>
>>>>
>>>> --------------------------------------------------
>>>> From: "Peter Wolfe"<sunspot005 at gmail.com>
>>>> Sent: Sunday, July 11, 2010 1:52 AM
>>>> To: "Blind Math list for those interested in mathematics"
>>>> <blindmath at nfbnet.org>
>>>> Subject: Re: [Blindmath] hydraulic full screen braille display
>>>>
>>>>> Ryan and or others:
>>>>>
>>>>>
>>>>>
>>>>>     Good some contribution to what I had to say for once about
>>>>> something with substance. Can you backup your claim? Give us an
>>>>> example of your matrices. I'm not sure what a matrices would be or
>>>>> anything at all for that matter. I guess you are refering to a matrix
>>>>> by chance? Also, my understanding of calculus with Derivatives and
>>>>> integrals have functions and these are for acceleration and velocity
>>>>> with surely other process in a four quadrant x, y and etc. I'd like to
>>>>> see what you can do in a one to four line display in braile and
>>>>> especially just a one line display that will be comprehendable to you
>>>>> in the long run. I remember when I took precalculus I had problems
>>>>> that on print would take up nearly a page or page and a half with a
>>>>> calculuator with sighted assistance with the visual aspects of the
>>>>> beast. Surely you could enlighten us all on your method?
>>>>>      I think the best way of doing mathematics of the advanced level
>>>>> is to see it all in one point going down as you go latterially. I
>>>>> cannt see that horizontally at all other than standard mathematics at
>>>>> all. I'm confused to what you mean and who could properly teach such
>>>>> methods to anyone in a understandable way. I'll find out when I
>>>>> actually take the classes right? This is conforting to someone who
>>>>> likes to be prepared for everything on the ground running. I mean I'm
>>>>> just confused to what aspects are visual and what aren't and from what
>>>>> I've heard from mainly sighted people that it's got lots of   room for
>>>>> interpretation of graphs wit connecting two or so things to make up a
>>>>> unique answer to this issue. How could that be done in another format
>>>>> translated and you create a solution with your answer? Thanks for
>>>>> further information you can shead on this crutial issue.
>>>>>
>>>>> sincerely,
>>>>> Peter
>>>>>
>>>>> On 7/10/10, Ryan Thomas<rlt56 at nau.edu>  wrote:
>>>>>> Peter,
>>>>>>
>>>>>>     I've read a lot of comments lately about the difficulty of doing
>>>>>> higher mathematics with a one or even four line braille display.  It's
>>>>>> entirely possible.  I understand that matricies are spacial, but even
>>>>>> they can be visualized in a row and column format using a one line
>>>>>> display.  Outside of matricies most math that I can thing of isn't
>>>>>> complicated by a one line read out.  Derivatives and integrals can
>>>>>> both be done.  In calc III there is a lot of visualization of three
>>>>>> dimentional figures, but even sighted students have to contend with
>>>>>> that issue and it's kind of the nature of the math itself.  I don't
>>>>>> think it's an accurate claim that the more complex math cannot be done
>>>>>> with the one line display.  I think you'll find the same as you
>>>>>> actually take the classes.
>>>>>>
>>>>>> Sincerely,
>>>>>>     Ryan
>>>>>>
>>>>>> On 7/9/10, Peter Wolfe<sunspot005 at gmail.com>  wrote:
>>>>>>> Le,
>>>>>>>
>>>>>>>
>>>>>>>      I've read about this project some cause my Program for Students
>>>>>>> with Disabilities assistant sent me an e-mail from North Carolina
>>>>>>> State University. Well, I think if you used simplication using
>>>>>>> standard Logic 101 you can tell that it's a dot conjuction meaning
>>>>>>> both must be true necessarily. Well, I think it should be a
>>>>>>> disjunction conjunction with an or cause it's only the braille with
>>>>>>> especially the four line proposal on the table now. Nothing was stated
>>>>>>> about images in the article and that is unfortunately ashame. However,
>>>>>>> it's something to expand our mind around for the time being. Images
>>>>>>> are  very abstract and hard to join together. The proposed 4 line
>>>>>>> display is going to be useful in simple mathematics and some algebra
>>>>>>> from simple deduction and not so much on high end mathematics at this
>>>>>>> stage of development.
>>>>>>>
>>>>>>> On 7/8/10, qubit<lauraeaves at yahoo.com>  wrote:
>>>>>>>> The following link was the topic of discussion on the sci-tech list a
>>>>>>>> while
>>>>>>>> back. If you want to know more, such as if/when it will be
>>>>>>>> productized,
>>>>>>>> ask
>>>>>>>> Sina Bahram.
>>>>>>>> I wonder if this could do both braille and graphics.  The technology
>>>>>>>> is
>>>>>>>> coming, if people demand it.
>>>>>>>> --le
>>>>>>>>
>>>>>>>> Hydraulics Could Enable Fullscreen Braille Display | Gadget Lab |
>>>>>>>> Wired.com
>>>>>>>> http://www.wired.com/gadgetlab/2010/03/braille-display/
>>>>>>>>
>>>>>>>>
>>>>>>>> _______________________________________________
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>>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> --
>>>>>>> Peter Q. Wolfe, AS
>>>>>>> sunspot005 at gmail.com
>>>>>>>
>>>>>>> _______________________________________________
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>>>>>>
>>>>>> _______________________________________________
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>>>>>
>>>>>
>>>>> --
>>>>> Peter Q. Wolfe, AS
>>>>> sunspot005 at gmail.com
>>>>>
>>>>> _______________________________________________
>>>>> Blindmath mailing list
>>>>> Blindmath at nfbnet.org
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>>>> Christine M. Szostak
>>>> Graduate Student
>>>> Language Perception Lab
>>>> Department of Psychology, Cognitive Area
>>>> The Ohio State University
>>>> Columbus, Ohio
>>>> szostak.1 at osu.edu
>>>>
>>>>
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>>>
>>>
>>> --
>>> Peter Q. Wolfe, AS
>>> sunspot005 at gmail.com
>>>
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>>
>>
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>
>
> --
> Peter Q. Wolfe, AS
> sunspot005 at gmail.com
>
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