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: LB
To: [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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