Wondering if my interpretation of that one is correct; I produced
LaTeX documents often enough in college, but that was 30 years ago...
Mostly I'm not sure what the <..> construct means, unless that's a
bracketing style similar to parentheses. Assuming that, we have
\frac{1}{2}k<x^2> = \frac{1}{2} k_B T
One half k times the quantity x squared
equals
One half k sub B times T
On Sat, Mar 08, 2014 at 01:15:44PM -0500, Jonathan C. Cohn wrote:
I decided to ask my daughter who will soon be teaching High School
Physics...
I will attach a complete TeX or LaTeX equation below. LaTeX is an macro
extension to TeX that eventually converts into TeX before being
rendered on a page. Note also that Microsoft Word has a plugin that
helps with equation editing.
\begin{equation}
\frac{1}{2}k<x^2> = \frac{1}{2} k_B T
\end{equation}
Equipartition theory
Also note that Macintosh OS 10.9 claims to have support for MathML but
I believe there were some grumblings about the support being there but
not really there. This might be like how Mac OS had UI programming
available a version before VoiceOver came out, and if you tried really
hard you could have written a screen reader for that OS. So what I am
trying to say is that perhaps in the current version there is a
framework but that true support in applications will not be available
for a couple of years.
Hope my ramblings give you some direction in solving your issues.
Jonathan
Best wishes,
Jonathan
On Mar 8, 2014, at 12:57 PM, RicksPlace <[1][email protected]> wrote:
Hi Guys:
Well, I ended up back with the mathml xml based articles. I have no
idea how well they are supported out there, from what I've seen not
very well for the vast majority of sites I've visited and Google says
they have no plans to support it in their browser anytime soon, they
actually had it and dropped it.
There is support, or was support, in IE and Firefox I think but there
were problems with IE and firefox did not implement it fully as far as
I read in a few overview type articles.
To use mathml requires a plug-in, not sure microsoft supports them
anymore, or some other type of third party software which is sort of
getting out there for something that should just be a part of
accessibility in the first place. In other words, however the equations
are rendered I should think it the function of a screen reader to read
it correctly based on at least one or 2 of the major formats ie LaTex
or mathml etc... and I dont think WindowEyes does that and I dont know
anything about the other screen readers but my guess is they dont do it
either.
Perhaps it would be possible to create a script for the LaTex formats
but after going through the w3c stuff on mathml I wouldnt have a clue
on designing a script to even attempt to translate that stuff.
So what is going on? MathML is suppose to be the standard but nobody
really wants to support it and it is way too complicated for a simple
guy like me to try and work with.
So I dont expect any improved accessibility unless Microsoft implements
it since Google is not going, or wernt, going to do it and others are
starting to fall back on the other methods of rendering.
Now that html5 has tags for mathml some supporters say it will start up
again but where is it in the news for the new releases of various
products?
Rick USA
----- Original Message -----
From: [2]Jonathan C. Cohn
To: [3][email protected]
Sent: Saturday, March 08, 2014 12:33 PM
Subject: Re: WE and Advanced Math and Science Symbols
You might want to look at Nemith code, a braille way of
interpretscienfic notation.
Best wishes,
Jonathan
On Mar 8, 2014, at 10:54 AM, RicksPlace <[4][email protected]> wrote:
Hi Again:
Googling I found these tags are related to font definitions.
Several versions are mentioned in a couple of articles so far:
Mathematical Notation: LaTeX, Mathematica, HTML Entities, Unicode
Do you know if these are a standard font thingy and should either my
browser or WindowEyes be automatically picking them up and speaking
them in the correct manner?
Perhaps my browser is too old, not sure.
Rick USA
----- Original Message -----
From: [5]RicksPlace
To: [6][email protected]
Sent: Saturday, March 08, 2014 10:15 AM
Subject: Re: WE and Advanced Math and Science Symbols
Hi Guys:
Thought Id start with Wikipedia since it covers allot of general
descriptions - not a teaching tool but an explanitory tool.
Now, symbols seem to be represented by some kind of standardized use of
tags.
Do you recognize the use of the tags below as a standardized
methodology of some sort and, if so, what is it called?
I put in a few examples so someone might recognize something.
<BeginSamples>
Vector notation
From Wikipedia, the free encyclopedia
the common
typographic convention
is upright boldface type, as in
\mathbf{v}
OK guys here they are just displaying {V} but use a prefix tag:
\mathbf
...
Another example:
or unwieldy, vectors are often represented with
right-pointing arrow notation or harpoons
above their names, as in
\vec{v}
Here they use a tag:
\vec
before the actual math of {v}
...
Another example:
A rectangular vector in
\mathbb{R}^n
can be specified using an ordered
set
of components, enclosed in either parentheses or angle brackets.
In a general sense, an n-dimensional vector v
can be specified in either of the following forms:
\mathbf{v} = (v_1, v_2, \dots, v_{n - 1}, v_n)
\mathbf{v} = \langle v_1, v_2, \dots, v_{n - 1}, v_n \rangle
Where v1, v2, ..., vn - 1, vn are the components of v.
Matrix notation
[
edit
]
A rectangular vector in
\mathbb{R}^n
can also be specified as a row or column
matrix
containing the ordered set of components. A vector specified as a row
matrix is
known as a
row vector
; one specified as a column matrix is known as a
column vector
.
Again, an n-dimensional vector
\mathbf{v}
can be specified in either of the following forms using matrices:
\mathbf{v} = \left[ \begin{matrix} v_1 & v_2 & \cdots & v_{n - 1} & v_n
\end{matrix}
\right] = \left( \begin{matrix} v_1 & v_2 & \cdots & v_{n - 1} & v_n
\end{matrix}
\right)
\mathbf{v} = \left[ \begin{matrix} v_1 \\ v_2 \\ \vdots \\ v_{n - 1} \\
v_n \end{matrix}
\right]= \left( \begin{matrix} v_1 \\ v_2 \\ \vdots \\ v_{n - 1} \\ v_n
\end{matrix}
\right)
Where v1, v2, ..., vn - 1, vn are the components of v
. In some advanced contexts, a row and a column vector have different
meaning; see
covariance and contravariance of vectors
.
Unit vector notation
[
edit
]
A rectangular vector in
\mathbb{R}^3
(or fewer dimensions, such as
\mathbb{R}^2
where vz
below is zero) can be specified as the sum of the scalar multiples of
the components
of the vector with the members of the standard
basis
in
\mathbb{R}^3
. The basis is represented with the
unit vectors
\boldsymbol{\hat{\imath}} = (1, 0, 0)
,
\boldsymbol{\hat{\jmath}} = (0, 1, 0)
, and
\boldsymbol{\hat{k}} = (0, 0, 1)
.
A three-dimensional vector v can be specified in the following form,
using unit vector
notation:
\mathbf{v} = v_x \boldsymbol{\hat{\imath}} + v_y
\boldsymbol{\hat{\jmath}} + v_z
\boldsymbol{\hat{k}}
Where vx, vy, and vz are the magnitudes of the components of v.
Polar vectors
[
edit
]
wiki/File:CircularCoordinates.svg
It goes on to other vectors for circles etc...
<EndOfSamples>
Rick USA
----- Original Message -----
From: [7]LB
To: [8][email protected]
Sent: Saturday, March 08, 2014 8:18 AM
Subject: Re: WE and Advanced Math and Science Symbols
Hi Rick,
I guess having standard symbols for the math, then splitting each
up, isolating them, then using a graphics label for each, store them in
your set file and such, then go from there. Just a thought, but seems
like a simple way to do it.
Most equations use the sup script and such for integrals and can be
messy at times but not impossible. But think standard symbols may be a
problem at the publishers end. But in a set file you can sort them out
based on the publishers usage.
Most equations use hyperbolic math for nothing goes in a straight
line in physics. That can result in lots of funny math. But keep in
mind that all particles are waves and you can always wave back...:)
The reality of our universe is all stuff is on a plain and that
plain is infinite in nature, in other words take a book and stack it's
pages on into infinity and each page is a plain, but so small you could
never find it, but when trying to get them apart you kind of get a
nuclear bomb, for they do not want to be bothered and have the strength
to prove it.
touch one part of that thin sheet and it responds back some where,
the spooky thing Einstein's discovered in relativity. It is like
watching a insect on the surface of a lake or body of water and watch
it vibrate...surface tension.
Enough about god and where he is, he is just every where. A part of
each sheet stacked forever.
Bruce
Sent: Saturday, March 08, 2014 6:46 AM
Subject: WE and Advanced Math and Science Symbols
Hi:
What is it about screen readers where they have so much trouble reading
advanced math and, or, science characters?
For example, what about the Calcus symbols or the standard ones often
used in describing the EM Field variables?
Has anyone ever done anything trying to write a script for say either a
book reader or even internet pages to make the equations read well?
I have been looking at many sites lately related to quantum mechanics
and light and found many, all?, sites using equations where either I
get a line of characters that dont make sense to me or a blank space
where a given symbol, image?, is located within the equations.
I know there are third party packages that might, repeat might, work
perhaps with braille but why cant a screen reader like WindowEyes with
it's attendant dictionaries be used to read these pages or books?
I am wondering if the pages or software could be scripted in some way
to make advanced math and science equations readable with WindowEyes.
Just a consideration at this point and not even a thought of being a
scripting project but just the question of why it hasent been done by
the screen reader companies and if anyone has ever tried to script
something to enable it for WindowEyes in the past.
Rick USA
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