Changes

MyWikiBiz, Author Your Legacy — Saturday January 04, 2025
Jump to navigationJump to search

User:Jon Awbrey/ATLAS (view source)

Revision as of 20:42, 9 July 2007

6,292 bytes added ,  20:42, 9 July 2007
→‎Table 67. Computation of an Analytic Series in Terms of Coordinates: copy model table
Line 9,479: Line 9,479:  
o--------o-------o-------o--------o-------o-------o-------o-------o
 
o--------o-------o-------o--------o-------o-------o-------o-------o
 
</pre>
 
</pre>
 +
 +
{| align="center" border="1" cellpadding="0" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:96%"
 +
|+ Table 50.  Computation of an Analytic Series in Terms of Coordinates
 +
|
 +
{| align="center" border="1" cellpadding="0" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:paleturquoise; font-weight:bold; text-align:center; width:100%"
 +
| ''u''
 +
| ''v''
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:paleturquoise; font-weight:bold; text-align:center; width:100%"
 +
| d''u''
 +
| d''v''
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:paleturquoise; font-weight:bold; text-align:center; width:100%"
 +
| ''u''<font face="courier new">’</font>
 +
| ''v''<font face="courier new">’</font>
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0      || 0
 +
|-
 +
| &nbsp; || &nbsp;
 +
|-
 +
| &nbsp; || &nbsp;
 +
|-
 +
| &nbsp; || &nbsp;
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 0 || 1
 +
|-
 +
| 1 || 0
 +
|-
 +
| 1 || 1
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 0 || 1
 +
|-
 +
| 1 || 0
 +
|-
 +
| 1 || 1
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0      || 1
 +
|-
 +
| &nbsp; || &nbsp;
 +
|-
 +
| &nbsp; || &nbsp;
 +
|-
 +
| &nbsp; || &nbsp;
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 0 || 1
 +
|-
 +
| 1 || 0
 +
|-
 +
| 1 || 1
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 1
 +
|-
 +
| 0 || 0
 +
|-
 +
| 1 || 1
 +
|-
 +
| 1 || 0
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 1      || 0
 +
|-
 +
| &nbsp; || &nbsp;
 +
|-
 +
| &nbsp; || &nbsp;
 +
|-
 +
| &nbsp; || &nbsp;
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 0 || 1
 +
|-
 +
| 1 || 0
 +
|-
 +
| 1 || 1
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 1 || 0
 +
|-
 +
| 1 || 1
 +
|-
 +
| 0 || 0
 +
|-
 +
| 0 || 1
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 1      || 1
 +
|-
 +
| &nbsp; || &nbsp;
 +
|-
 +
| &nbsp; || &nbsp;
 +
|-
 +
| &nbsp; || &nbsp;
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 1 || 1
 +
|-
 +
| 1 || 0
 +
|-
 +
| 0 || 1
 +
|-
 +
| 0 || 0
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 0 || 1
 +
|-
 +
| 1 || 0
 +
|-
 +
| 1 || 1
 +
|}
 +
|}
 +
|
 +
{| align="center" border="1" cellpadding="0" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:paleturquoise; font-weight:bold; text-align:center; width:100%"
 +
| <math>\epsilon</math>''J''
 +
| E''J''
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:paleturquoise; font-weight:bold; text-align:center; width:100%"
 +
| D''J''
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:paleturquoise; font-weight:bold; text-align:center; width:100%"
 +
| d''J''
 +
| d<sup>2</sup>''J''
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0      || 0
 +
|-
 +
| &nbsp; || 0
 +
|-
 +
| &nbsp; || 0
 +
|-
 +
| &nbsp; || 1
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0
 +
|-
 +
| 0
 +
|-
 +
| 0
 +
|-
 +
| 1
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 0 || 0
 +
|-
 +
| 0 || 0
 +
|-
 +
| 0 || 1
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0      || 0
 +
|-
 +
| &nbsp; || 0
 +
|-
 +
| &nbsp; || 1
 +
|-
 +
| &nbsp; || 0
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0
 +
|-
 +
| 0
 +
|-
 +
| 1
 +
|-
 +
| 0
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 0 || 0
 +
|-
 +
| 1 || 0
 +
|-
 +
| 1 || 1
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0      || 0
 +
|-
 +
| &nbsp; || 1
 +
|-
 +
| &nbsp; || 0
 +
|-
 +
| &nbsp; || 0
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0
 +
|-
 +
| 1
 +
|-
 +
| 0
 +
|-
 +
| 0
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 1 || 0
 +
|-
 +
| 0 || 0
 +
|-
 +
| 1 || 1
 +
|}
 +
|-
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0      || 1
 +
|-
 +
| &nbsp; || 0
 +
|-
 +
| &nbsp; || 0
 +
|-
 +
| &nbsp; || 0
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0
 +
|-
 +
| 1
 +
|-
 +
| 1
 +
|-
 +
| 1
 +
|}
 +
|
 +
{| align="center" border="0" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
 +
| 0 || 0
 +
|-
 +
| 1 || 0
 +
|-
 +
| 1 || 0
 +
|-
 +
| 0 || 1
 +
|}
 +
|}
 +
|}
 +
<br>
    
===Table 68.  Computation of an Analytic Series in Symbolic Terms===
 
===Table 68.  Computation of an Analytic Series in Symbolic Terms===
Jon Awbrey
12,080

edits

Retrieved from "https://mywikibiz.com/Special:MobileDiff/49318"

Navigation menu