Open main menu
Home
Random
Log in
Settings
About MyWikiBiz
Disclaimers
MyWikiBiz
Search
Changes
← Older edit
Newer edit →
Directory talk:Jon Awbrey/Papers/Differential Logic and Dynamic Systems 2.0
(view source)
Revision as of 22:00, 13 July 2008
224 bytes removed
,
22:00, 13 July 2008
→Table 9
:
HTML → TeX
Line 404:
Line 404:
</font><br>
</font><br>
−
{| align="center" border="1" cellpadding="
4
" cellspacing="0" style="text-align:
left
; width:96%"
+
{| align="center" border="1" cellpadding="
8
" cellspacing="0" style="text-align:
center
; width:96%"
|+ '''Table 9. Higher Order Differential Features'''
|+ '''Table 9. Higher Order Differential Features'''
| width=50% |
| width=50% |
Line 432:
Line 432:
\end{smallmatrix}</math>
\end{smallmatrix}</math>
| width=50% |
| width=50% |
−
{
| cellpadding="4"
+
<math>\begin{array}
{
lll}
−
|
E
<sup>
0
</sup><font face="lucida calligraphy">
A
</font>
+
\operatorname{
E
}^
0
\mathcal{
A
} &
=
& \operatorname{
d
}^
0
\mathcal{
A
} \\
−
|
=
+
\operatorname{
E
}^
1
\mathcal{
A
} &
=
& \operatorname{
d
}^
0
\mathcal{
A
}\ \
cup
\ \operatorname{
d
}^
1
\mathcal{
A
} \\
−
|
d
<sup>
0
</sup><font face="lucida calligraphy">
A
</font>
+
\operatorname{
E
}^
k
\mathcal{
A
} &
=
& \operatorname{
d
}^
0
\mathcal{
A
}\ \
cup
\ \ldots\ \
cup
\ \operatorname{
d
}^
k
\mathcal{
A
} \\
−
|-
+
\operatorname{
E
}^\infty \mathcal{A}
& = &
\bigcup\ \operatorname{
d
}^
*
\mathcal{
A
} \\
−
|
E
<sup>
1
</sup><font face="lucida calligraphy">
A
</font>
+
\end{array}
</
math
>
−
|
=
+
|}<br>
−
|
d
<sup>
0
</sup><font face="lucida calligraphy">
A
</font> &
cup
;
d
<sup>
1
</sup><font face="lucida calligraphy">
A
</font>
−
|-
−
|
E
<sup>''
k
''</sup><font face="lucida calligraphy">
A
</font>
−
|
=
−
|
d
<sup>
0
</sup><font face="lucida calligraphy">
A
</font> &
cup
; … &
cup
;
d
<sup>''
k
''</sup><font face="lucida calligraphy">
A
</font>
−
|-
−
|
E
<sup>
&
infin;</sup><font face="lucida calligraphy">A</font>
−
|
=
−
|
&
cup;
d
<sup>
*
</sup><font face="lucida calligraphy">
A</
font
>
−
|}
−
|}
−
</font>
<br>
Jon Awbrey
12,089
edits