<s>
Euler	B-Language
(	O
now	O
Euler	B-Language
Mathematical	O
Toolbox	O
or	O
EuMathT	O
)	O
is	O
a	O
free	B-Application
and	O
open-source	B-Application
numerical	O
software	O
package	O
.	O
</s>
<s>
It	O
contains	O
a	O
matrix	B-Architecture
language	O
,	O
a	O
graphical	O
notebook	B-Application
style	I-Application
interface	I-Application
,	O
and	O
a	O
plot	O
window	O
.	O
</s>
<s>
Euler	B-Language
is	O
designed	O
for	O
higher	O
level	O
math	O
such	O
as	O
calculus	O
,	O
optimization	O
,	O
and	O
statistics	O
.	O
</s>
<s>
The	O
software	O
can	O
handle	O
real	O
,	O
complex	O
and	O
interval	B-Algorithm
numbers	O
,	O
vectors	O
and	O
matrices	B-Architecture
,	O
it	O
can	O
produce	O
2D/3D	O
plots	B-Application
,	O
and	O
uses	O
Maxima	B-Language
for	O
symbolic	O
operations	O
.	O
</s>
<s>
The	O
software	O
is	O
compilable	O
with	O
Windows	B-Application
.	O
</s>
<s>
The	O
Unix	B-Application
and	O
Linux	B-Application
versions	O
do	O
not	O
contain	O
a	O
computer	B-General_Concept
algebra	I-General_Concept
subsystem	I-General_Concept
.	O
</s>
<s>
Euler	B-Language
Math	O
Toolbox	O
originated	O
in	O
1988	O
as	O
a	O
program	O
for	O
Atari	B-Device
ST	I-Device
.	O
At	O
that	O
time	O
,	O
the	O
title	O
of	O
the	O
program	O
was	O
simply	O
Euler	B-Language
,	O
but	O
it	O
turned	O
out	O
to	O
be	O
too	O
unspecific	O
for	O
the	O
Internet	O
.	O
</s>
<s>
The	O
main	O
aim	O
of	O
the	O
program	O
was	O
to	O
create	O
a	O
tool	O
for	O
testing	O
numerical	B-General_Concept
algorithms	I-General_Concept
,	O
to	O
visualize	O
results	O
,	O
and	O
to	O
demonstrate	O
mathematical	O
content	O
in	O
the	O
classroom	O
.	O
</s>
<s>
Euler	B-Language
Math	O
Toolbox	O
uses	O
a	O
matrix	B-Architecture
language	O
similar	O
to	O
MATLAB	B-Language
,	O
a	O
system	O
that	O
had	O
been	O
under	O
development	O
since	O
the	O
1970s	O
.	O
</s>
<s>
Then	O
and	O
now	O
the	O
main	O
developer	O
of	O
Euler	B-Language
is	O
René	O
Grothmann	O
,	O
a	O
mathematician	O
at	O
the	O
Catholic	O
University	O
of	O
Eichstätt-Ingolstadt	O
,	O
Germany	O
.	O
</s>
<s>
In	O
2007	O
,	O
Euler	B-Language
was	O
married	O
with	O
the	O
Maxima	B-Language
computer	I-Language
algebra	I-Language
system	I-Language
.	O
</s>
<s>
Symbolic	O
expressions	O
and	O
other	O
functions	O
were	O
added	O
to	O
communicate	O
with	O
Maxima	B-Language
,	O
and	O
to	O
reach	O
a	O
good	O
degree	O
of	O
integration	O
into	O
the	O
numerical	O
Euler	B-Language
core	O
.	O
</s>
<s>
The	O
Euler	B-Language
core	O
is	O
a	O
numerical	O
system	O
written	O
in	O
C/C	O
++	O
.	O
</s>
<s>
It	O
handles	O
real	O
,	O
complex	O
,	O
and	O
interval	B-Algorithm
values	O
,	O
and	O
matrices	B-Architecture
of	O
these	O
types	O
.	O
</s>
<s>
Other	O
available	O
data	O
types	O
are	O
sparse	O
,	O
compressed	O
matrices	B-Architecture
,	O
a	O
long	O
accumulator	O
for	O
an	O
exact	O
scalar	O
product	O
,	O
and	O
strings	O
.	O
</s>
<s>
Based	O
on	O
this	O
core	O
,	O
additional	O
functions	O
are	O
implemented	O
in	O
the	O
Euler	B-Language
matrix	B-Architecture
language	O
,	O
which	O
is	O
an	O
interpreted	O
programming	O
language	O
in	O
the	O
style	O
of	O
an	O
advanced	O
BASIC	O
dialect	O
.	O
</s>
<s>
Euler	B-Language
contains	O
libraries	O
for	O
statistics	O
,	O
exact	O
numerical	B-General_Concept
computations	I-General_Concept
with	O
interval	B-Algorithm
inclusions	O
,	O
differential	O
equations	O
and	O
stiff	O
equations	O
,	O
astronomical	O
functions	O
,	O
geometry	O
,	O
and	O
more	O
.	O
</s>
<s>
Graphics	O
can	O
be	O
added	O
to	O
the	O
notebook	O
window	O
too	O
,	O
or	O
can	O
be	O
exported	O
in	O
various	O
formats	O
(	O
PNG	O
,	O
SVG	B-Application
,	O
WMF	O
,	O
Clipboard	O
)	O
.	O
</s>
<s>
Graphic	O
types	O
include	O
line	O
,	O
bar	O
or	O
point	O
plots	B-Application
in	O
2D	O
and	O
3D	O
,	O
including	O
anaglyph	B-Algorithm
plots	B-Application
of	O
3D	O
surfaces	O
and	O
other	O
3D	O
plots	B-Application
.	O
</s>
<s>
Euler	B-Language
has	O
an	O
API	O
to	O
use	O
the	O
open	O
raytracer	O
POV-Ray	B-Application
.	O
</s>
<s>
Euler	B-Language
handles	O
symbolic	O
computations	O
via	O
Maxima	B-Language
,	O
which	O
is	O
loaded	O
as	O
a	O
separate	O
process	O
,	O
communicating	O
with	O
Euler	B-Language
through	O
pipes	O
.	O
</s>
<s>
Indeed	O
,	O
Maxima	B-Language
is	O
used	O
in	O
various	O
Euler	B-Language
functions	O
(	O
e.g.	O
</s>
<s>
Moreover	O
,	O
Maxima	B-Language
can	O
be	O
called	O
at	O
definition	O
time	O
of	O
an	O
Euler	B-Language
function	O
.	O
</s>
<s>
LaTeX	B-Application
can	O
be	O
used	O
from	O
within	O
Euler	B-Language
to	O
display	O
formulas	O
.	O
</s>
<s>
For	O
export	O
of	O
formulas	O
to	O
HTML	B-Language
,	O
either	O
the	O
generated	O
LaTeX	B-Application
images	O
or	O
MathJax	B-Language
can	O
be	O
used	O
.	O
</s>
<s>
A	O
special	O
export	O
option	O
exports	O
all	O
graphics	O
to	O
SVG	B-Application
.	O
</s>
<s>
Euler	B-Language
also	O
includes	O
the	O
Tiny	B-Language
C	I-Language
Compiler	I-Language
,	O
which	O
allows	O
subroutines	O
in	O
C	B-Language
to	O
be	O
compiled	O
,	O
and	O
included	O
via	O
a	O
Windows	B-Application
DLL	O
.	O
</s>
<s>
Euler	B-Language
has	O
a	O
lot	O
of	O
similarity	O
to	O
MATLAB	B-Language
and	O
its	O
free	B-Application
clones	O
(	O
GNU	B-Language
Octave	I-Language
)	O
,	O
but	O
it	O
is	O
not	O
compatible	O
.	O
</s>
