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

Sun Jul 11 19:37:09 UTC 2010

Alastair,


     Thanks for te speedy reply to my post replies in this posting.
Can you explain like I've asked others how i can be done by one line?
This is different spacially  coming from a formerly sighted
prospective than a blind line prospective. I wouldn't get lost cause I
saw for most of my life like line by line with  operators in a code
cause the source and the steps broken are easier for me to see
spacially that way. However, I realize not all people think the same
cause they might not have seen ever. It's a different prospective all
together completely alien to me even now cause the instructors at E.H
Gentry weren't very keen on me learning neimith code at all. They
probably barely knew it themselves and people want to know why
mathematics and science aren't growing? It's the institution in the
variables of parenting, experience, self-esteem, resources,
information, self-education and ability and ability and willingness to
learn.
     I thought that I was quite clear as to the calculator question
though. I can't see how it could be interpreted in multipl.e ways. I
was merely stating whether or not a scientific calculator can do the
the equivalen as a graphing calculator for calculus and linear algebra
problems. I think you answered my questions somewhat affectively but I
have to adapt it arund my professor and the curriculum adopted by the
department as well. Also, I don't think Vocational Rehabilitation with
the down turn in the economy would even consider a braille display and
living on a limited budget is also out of the question to purchase it
myself. This is out o the questio for most blind people in certain VR
settings where quotes are maintained and budgets must be kept. Hence
the affordability factorwill help as well wit the four line display
rather than the dated method o one line displays.
     I just can't see how it can be done myself other than lon hand
division and that is it. I would get lost with it personally with my
orientatio being visual not tactical at all. Some people might think
that I'm wrong but that is from their view not that of us formewrly or
partially sighted people at all. I'm trying to get a calculus braille
book and if anyone knows were I can get one lent for free just let me
know okay? I tried National Library Service in my state and only got
Algebra II coming in the mail. I got the nemeith code book and that is
a helpful reference but not a material based on any subject really.
Thanks for additional  infrmation with examples and possible UrRLS.

On 7/11/10, Alastair Irving <alastair.irving at sjc.ox.ac.uk> wrote:
> 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
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>>>>>> Blindmath:
>>>>>> http://www.nfbnet.org/mailman/options/blindmath_nfbnet.org/szostak.1%40osu.edu
>>>>> 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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-- 
Peter Q. Wolfe, AS
sunspot005 at gmail.com