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Hans Hagen | PRAGMA ADE
Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
tel: 038 477 53 69 | fax: 038 477 53 74 | www.pragma-ade.com
| www.pragma-pod.nl
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--- Begin Message ---
Hans,
This typesets (pdf) fine on my system.
\starttext
\subject{Unorthodox}
Subtracting a scalar from a matrix or vector makes no sense
mathematically.
\startformula
\left(\matrix{1 & 2 & 3\cr 4 & 5 & 6}\right)-1
\stopformula
However, this is such a common occurrence, Matlab interprets this to
mean
\startformula
\left(\matrix{1 & 2 & 3\cr 4 & 5 & 6}\right)-1
=\left(\matrix{0 & 1 & 2\cr 3 & 4 & 5}\right).
\stopformula
\stoptext
However, the exact same construct in the attached file doesn't show the
equal sign when viewed in Acrobat. How come?
%\showframe
\setuppapersize[S6][S6]
\setuplayout
[width=middle,
top=1cm,
bottom=1cm,
backspace=1cm,
leftmargin=0pt,
rightmargin=0pt,
footer=0pt,
header=0pt]
\setuppagenumbering
[state=stop]
\setupwhitespace[medium]
\setupindenting[medium]
\setupbodyfont[lbr,14pt]
\setupcolors[state=start]
\definecolor[darkred][r=0.5, g=0.0, b=0.0]
\definecolor[darkgreen][r=0.0, g=0.5, b=0.0]
\setuphead
[subject][color=blue]
\starttext
\startstandardmakeup
\startcolor[darkred]
\startalignment[center]
\tfd Using Technology \blank
\tfd in\blank
\tfd Teaching Multivariable Calculus\vfill
\tfb David Arnold\vfill
\tfb Humboldt Mathematics Colloquium\blank
\tfb\currentdate[month,year]
\stopalignment
\stopstandardmakeup
\subject{Matlab}
In order to use Matlab effectively, students must understand that
Matlab's basic data structure is the matrix.
\startitemize
\item Entries in rows are separated by commas.
\starttyping
>> u=[1,2,3]
u =
1 2 3
\stoptyping
\item Rows are terminated by semicolons.
\starttyping
>> v=[1;2;3]
v =
1
2
3
\stoptyping
\item Row entries can also be separated by spaces.
\starttyping
>> A=[1 2;3 4]
A =
1 2
3 4
\stoptyping
\stopitemize
\page
\subject{The Algebra of Vectors}
\startitemize
\item Vectors are added element by element.
\starttyping
>> u=[1,2,3]; v=[4,5,6];
>> u+v
ans =
5 7 9
\stoptyping
\item Vectors are subtracted element by element.
\starttyping
>> u=[1;2;3]; v=[4;5;6];
>> u-v
ans =
-3
-3
-3
\stoptyping
\item Scalar multiplication is performed on each element.
\starttyping
>> u=[7,8,9];
>> 2*u
ans =
14 16 18
\stoptyping
\stopitemize
\page
\subject{Matrices}
\startitemize
\item Matrices of equal size are added (or subtracted) element by element.
\starttyping
>> A=[1,2,3;4,5,6]; B=[1,1,1;2,2,2];
>> A+B
ans =
2 3 4
6 7 8
\stoptyping
\item Scalar multiplication is performed on each entry.
\starttyping
>> A=[1,2;3,4;5,6;7,8];
>> 2*A
ans =
2 4
6 8
10 12
14 16
\stoptyping
\stopitemize
\page
\subject{Unorthodox}
Subtracting a scalar from a matrix or vector makes no sense
mathematically.
\startformula
\left(\matrix{1 & 2 & 3\cr 4 & 5 & 6}\right)-1
\stopformula
However, this is such a common occurrence, Matlab interprets this to
mean
\startformula
\left(\matrix{1 & 2 & 3\cr 4 & 5 & 6}\right)-1=\left(\matrix{0 & 1 & 2\cr 3 & 4 &
5}\right).
\stopformula
\page
\subject
{Parametric Equations}
\stoptext
--- End Message ---
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