User:Tohline/Appendix/Ramblings/RiemannB74C692 - Revision history

Tohline: /* See Also */

2020-06-14T03:55:13Z

Tohline: /* Key Physical Parameters */

2020-06-13T21:26:22Z

Key Physical Parameters

← Older revision		Revision as of 21:26, 13 June 2020
Line 78:		Line 78:
	</table>		</table>

	The subscript "EFE" on Ω and λ means that the relevant frequency is given in units that have been adopted in [<b>[[User:Tohline/Appendix/References#EFE\|<font color="red">EFE</font>]]</b>], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>. In Figure 1a, the yellow circular marker, that has been placed where the pair of purple dashed lines cross, identifies the location of this model in the "c/a versus b/a" ~~diagram~~ that appears as Figure 2 on p. 902 of [http://adsabs.harvard.edu/abs/1965ApJ...142..890C S. Chandrasekhar (1965)]; essentially the same diagram appears in §49 (p. 147) of [<b>[[User:Tohline/Appendix/References#EFE\|<font color="red">EFE</font>]]</b>].		The subscript "EFE" on Ω and λ means that the relevant frequency is given in units that have been adopted in [<b>[[User:Tohline/Appendix/References#EFE\|<font color="red">EFE</font>]]</b>], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>. In Figure 1a, the yellow circular marker, that has been placed where the pair of purple dashed lines cross, identifies the location of this model in the "c/a versus b/a" ''[[User:Tohline/ThreeDimensionalConfigurations/RiemannStype#Fig2\|EFE Diagram]]'' that appears as Figure 2 on p. 902 of [http://adsabs.harvard.edu/abs/1965ApJ...142..890C S. Chandrasekhar (1965)]; essentially the same diagram appears in §49 (p. 147) of [<b>[[User:Tohline/Appendix/References#EFE\|<font color="red">EFE</font>]]</b>].

	==Coding Steps==		==Coding Steps==

Tohline: /* Key Physical Parameters */

2020-06-13T21:21:07Z

Key Physical Parameters

← Older revision		Revision as of 21:21, 13 June 2020
Line 78:		Line 78:
	</table>		</table>

	The subscript "EFE" on Ω and λ means that the relevant frequency is given in units that have been adopted in [<b>[[User:Tohline/Appendix/References#EFE\|<font color="red">EFE</font>]]</b>], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>. In Figure 1a, the ~~solid purple~~ circular marker (where the pair of purple lines cross) identifies the location of this model in the "c/a versus b/a" diagram that appears as Figure 2 on p. 902 of [http://adsabs.harvard.edu/abs/1965ApJ...142..890C S. Chandrasekhar (1965)]; essentially the same diagram appears in §49 (p. 147) of [<b>[[User:Tohline/Appendix/References#EFE\|<font color="red">EFE</font>]]</b>].		The subscript "EFE" on Ω and λ means that the relevant frequency is given in units that have been adopted in [<b>[[User:Tohline/Appendix/References#EFE\|<font color="red">EFE</font>]]</b>], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>. In Figure 1a, the yellow circular marker, that has been placed where the pair of purple dashed lines cross, identifies the location of this model in the "c/a versus b/a" diagram that appears as Figure 2 on p. 902 of [http://adsabs.harvard.edu/abs/1965ApJ...142..890C S. Chandrasekhar (1965)]; essentially the same diagram appears in §49 (p. 147) of [<b>[[User:Tohline/Appendix/References#EFE\|<font color="red">EFE</font>]]</b>].

	==Coding Steps==		==Coding Steps==

Tohline: /* Key Physical Parameters */

2020-06-13T21:11:25Z

Key Physical Parameters

← Older revision		Revision as of 21:11, 13 June 2020
Line 13:		Line 13:

	<tr>		<tr>
	<td align="center" rowspan="5">		<td align="center" rowspan="6">
	<b>Figure 1a</b><br /> <br />		<b>Figure 1a</b><br /> <br />
	[[File:B74c692EFEdiagram02.png\|325px\|EFE Parameter Space]]		[[File:B74c692EFEdiagram02.png\|325px\|EFE Parameter Space]]
	</td>		</td>
	<td align="center" rowspan="5" width="2%">		<td align="center" rowspan="6" width="2%">

	</td>		</td>
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	<math>~\frac{b}{a} = 0.74</math>		<math>~\frac{b}{a} = 0.74</math>
	</td>		</td>
	<td align="center" rowspan="5" width="2%">		<td align="center" rowspan="6" width="2%">

	</td>		</td>
	<td align="center" rowspan="5" bgcolor="lightgrey">		<td align="center" rowspan="6" bgcolor="lightgrey">
	<b>Figure 1b</b><br />		<b>Figure 1b</b><br />
	[[File:COLLADAb74c692NewModel.png\|300px\|EFE Model b74c692]]		[[File:COLLADAb74c692NewModel.png\|300px\|EFE Model b74c692]]
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	''Direct''		''Direct''
	</td>		</td>
	<td align="center" width="2%" rowspan="3">		<td align="center" width="2%" rowspan="4">

	</td>		</td>
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	<td align="center">		<td align="center">
	<math>~\lambda_\mathrm{EFE} = - 0.638747 </math>		<math>~\lambda_\mathrm{EFE} = - 0.638747 </math>
			</td>
			</tr>

			<tr>
			<td align="center">
			<math>~f = - 0.713019</math>
			</td>
			<td align="center">
			<math>~f = - 6.13413 </math>
	</td>		</td>
	</tr>		</tr>

Tohline: /* Key Physical Parameters */

2020-06-12T21:17:37Z

Key Physical Parameters

← Older revision		Revision as of 21:17, 12 June 2020
Line 14:		Line 14:
	<tr>		<tr>
	<td align="center" rowspan="5">		<td align="center" rowspan="5">
	<b>Figure 1a</b><br />		<b>Figure 1a</b><br /> <br />
	[[File:~~EFE_STypeB74C692~~.png\|325px\|EFE Parameter Space]]		[[File:B74c692EFEdiagram02.png\|325px\|EFE Parameter Space]]
	</td>		</td>
	<td align="center" rowspan="5" width="2%">		<td align="center" rowspan="5" width="2%">

Tohline: /* location_X */

2020-06-05T00:02:07Z

location_X

← Older revision		Revision as of 00:02, 5 June 2020
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	<table border="1" align="center" cellpadding="8">		<table border="1" align="center" cellpadding="8">
	<tr>		<tr>
	<th align="center" colspan="7">''Direct''</th>		<th align="center" colspan="8">''Direct''</th>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="center" colspan="1" bgcolor="lightblue">b74c692</td>		<td align="center" colspan="1" bgcolor="lightblue">b74c692</td>
	<td align="center" colspan="1">b90c333</td>		<td align="center" colspan="1">b90c333</td>
			<td align="center" colspan="1">b28c256</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="center">y = 0.74 × y<sub>0</sub></td>		<td align="center">y = 0.74 × y<sub>0</sub></td>
	<td align="center">y = 0.90 × y<sub>0</sub></td>		<td align="center">y = 0.90 × y<sub>0</sub></td>
			<td align="center">y = 0.28 × y<sub>0</sub></td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">0.0000</td>		<td align="right">0.0000</td>
	<td align="right" bgcolor="lightblue">0.0000</td>		<td align="right" bgcolor="lightblue">0.0000</td>
			<td align="right">0.0000</td>
	<td align="right">0.0000</td>		<td align="right">0.0000</td>
	</tr>		</tr>
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	<td align="right" bgcolor="lightblue">-0.0927</td>		<td align="right" bgcolor="lightblue">-0.0927</td>
	<td align="right">-0.1128</td>		<td align="right">-0.1128</td>
			<td align="right">-0.0351</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.1840</td>		<td align="right" bgcolor="lightblue">-0.1840</td>
	<td align="right">-0.2238</td>		<td align="right">-0.2238</td>
			<td align="right">-0.0696</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.2724</td>		<td align="right" bgcolor="lightblue">-0.2724</td>
	<td align="right">-0.3313</td>		<td align="right">-0.3313</td>
			<td align="right">-0.1031</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.3565</td>		<td align="right" bgcolor="lightblue">-0.3565</td>
	<td align="right">-0.4336</td>		<td align="right">-0.4336</td>
			<td align="right">-0.1349</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.4350</td>		<td align="right" bgcolor="lightblue">-0.4350</td>
	<td align="right">-0.5290</td>		<td align="right">-0.5290</td>
			<td align="right">-0.1646</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.5066</td>		<td align="right" bgcolor="lightblue">-0.5066</td>
	<td align="right">-0.6161</td>		<td align="right">-0.6161</td>
			<td align="right">-0.1917</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.5702</td>		<td align="right" bgcolor="lightblue">-0.5702</td>
	<td align="right">-0.6935</td>		<td align="right">-0.6935</td>
			<td align="right">-0.2157</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.6248</td>		<td align="right" bgcolor="lightblue">-0.6248</td>
	<td align="right">-0.7599</td>		<td align="right">-0.7599</td>
			<td align="right">-0.2364</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.6696</td>		<td align="right" bgcolor="lightblue">-0.6696</td>
	<td align="right">-0.8143</td>		<td align="right">-0.8143</td>
			<td align="right">-0.2533</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.7038</td>		<td align="right" bgcolor="lightblue">-0.7038</td>
	<td align="right">-0.8560</td>		<td align="right">-0.8560</td>
			<td align="right">-0.2663</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.7269</td>		<td align="right" bgcolor="lightblue">-0.7269</td>
	<td align="right">-0.8841</td>		<td align="right">-0.8841</td>
			<td align="right">-0.2750</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right" bgcolor="lightblue">-0.7385</td>		<td align="right" bgcolor="lightblue">-0.7385</td>
	<td align="right">-0.8982</td>		<td align="right">-0.8982</td>
			<td align="right">-0.2794</td>
	</tr>		</tr>
	</table>		</table>

Tohline: /* COLLADA Model Files */

2020-06-04T17:00:19Z

COLLADA Model Files

← Older revision		Revision as of 17:00, 4 June 2020
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	==COLLADA Model Files==		==COLLADA Model Files==

			===''Direct'' Configurations===


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	</div>		</div>


			===''Adjoint'' Configurations===

	<div align="center" id="Scroll3">		<div align="center" id="Scroll3">

Tohline: /* COLLADA Model Files */

2020-06-04T15:39:01Z

COLLADA Model Files

← Older revision		Revision as of 15:39, 4 June 2020
Line 18,104:		Line 18,104:

	<div align="center" id="Scroll3">		<div align="center" id="Scroll3">
	<b>b74c692AI.dae</b> [''~~Adjunct~~'' Inertial Frame]    …     a COLLADA code containing nnnn lines of <xml>-formatted ASCII text		<b>b74c692AI.dae</b> [''Adjoint'' Inertial Frame]    …     a COLLADA code containing nnnn lines of <xml>-formatted ASCII text
	</div>		</div>

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	<div align="center" id="Scroll4">		<div align="center" id="Scroll4">
	<b>b74c692ARot.dae</b> [''~~Adjunct~~'' Rotating Frame]    …     a COLLADA code containing nnnn lines of <xml>-formatted ASCII text		<b>b74c692ARot.dae</b> [''Adjoint'' Rotating Frame]    …     a COLLADA code containing nnnn lines of <xml>-formatted ASCII text
	</div>		</div>

Tohline: /* location_X */

2020-06-03T21:22:37Z

location_X

← Older revision		Revision as of 21:22, 3 June 2020
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	<table border="1" align="center" cellpadding="8">		<table border="1" align="center" cellpadding="8">
	<tr>		<tr>
	<th align="center" colspan="6">''Direct''</th>		<th align="center" colspan="7">''Direct''</th>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="center" colspan="1">b41c385</td>		<td align="center" colspan="1">b41c385</td>
	<td align="center" colspan="1" bgcolor="lightblue">b74c692</td>		<td align="center" colspan="1" bgcolor="lightblue">b74c692</td>
			<td align="center" colspan="1">b90c333</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="center">y = 0.41 × y<sub>0</sub></td>		<td align="center">y = 0.41 × y<sub>0</sub></td>
	<td align="center">y = 0.74 × y<sub>0</sub></td>		<td align="center">y = 0.74 × y<sub>0</sub></td>
			<td align="center">y = 0.90 × y<sub>0</sub></td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">0.0000</td>		<td align="right">0.0000</td>
	<td align="right" bgcolor="lightblue">0.0000</td>		<td align="right" bgcolor="lightblue">0.0000</td>
			<td align="right">0.0000</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.0514</td>		<td align="right">-0.0514</td>
	<td align="right" bgcolor="lightblue">-0.0927</td>		<td align="right" bgcolor="lightblue">-0.0927</td>
			<td align="right">-0.1128</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.1020</td>		<td align="right">-0.1020</td>
	<td align="right" bgcolor="lightblue">-0.1840</td>		<td align="right" bgcolor="lightblue">-0.1840</td>
			<td align="right">-0.2238</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.1509</td>		<td align="right">-0.1509</td>
	<td align="right" bgcolor="lightblue">-0.2724</td>		<td align="right" bgcolor="lightblue">-0.2724</td>
			<td align="right">-0.3313</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.1975</td>		<td align="right">-0.1975</td>
	<td align="right" bgcolor="lightblue">-0.3565</td>		<td align="right" bgcolor="lightblue">-0.3565</td>
			<td align="right">-0.4336</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.2410</td>		<td align="right">-0.2410</td>
	<td align="right" bgcolor="lightblue">-0.4350</td>		<td align="right" bgcolor="lightblue">-0.4350</td>
			<td align="right">-0.5290</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.2807</td>		<td align="right">-0.2807</td>
	<td align="right" bgcolor="lightblue">-0.5066</td>		<td align="right" bgcolor="lightblue">-0.5066</td>
			<td align="right">-0.6161</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.3159</td>		<td align="right">-0.3159</td>
	<td align="right" bgcolor="lightblue">-0.5702</td>		<td align="right" bgcolor="lightblue">-0.5702</td>
			<td align="right">-0.6935</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.3462</td>		<td align="right">-0.3462</td>
	<td align="right" bgcolor="lightblue">-0.6248</td>		<td align="right" bgcolor="lightblue">-0.6248</td>
			<td align="right">-0.7599</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.3710</td>		<td align="right">-0.3710</td>
	<td align="right" bgcolor="lightblue">-0.6696</td>		<td align="right" bgcolor="lightblue">-0.6696</td>
			<td align="right">-0.8143</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.3899</td>		<td align="right">-0.3899</td>
	<td align="right" bgcolor="lightblue">-0.7038</td>		<td align="right" bgcolor="lightblue">-0.7038</td>
			<td align="right">-0.8560</td>
	</tr>		</tr>
	<tr>		<tr>
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	<td align="right">-0.4027</td>		<td align="right">-0.4027</td>
	<td align="right" bgcolor="lightblue">-0.7269</td>		<td align="right" bgcolor="lightblue">-0.7269</td>
			<td align="right">-0.8841</td>
	</tr>		</tr>
	<tr>		<tr>
	<td align="center">13</td>		<td align="center">13</td>
			<td align="right">0.0628</td>
	<td align="right">-0.9980</td>		<td align="right">-0.9980</td>
	~~<td align="right">0.0628</td>~~
	<td align="right">-0.4092</td>		<td align="right">-0.4092</td>
	<td align="right" bgcolor="lightblue">-0.7385</td>		<td align="right" bgcolor="lightblue">-0.7385</td>
			<td align="right">-0.8982</td>
	</tr>		</tr>
	</table>		</table>

Tohline: /* COLLADA Model Files */

2020-06-03T19:17:22Z

COLLADA Model Files

← Older revision		Revision as of 19:17, 3 June 2020
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	<div align="center" id="Scroll1">		<div align="center" id="Scroll1">
	<b>b74c692DI.dae</b> [''Direct'' Inertial Frame]    …     a COLLADA code containing 8752 lines of <xml>-formatted ASCII text		<b>b74c692DI.dae</b> [''Direct'' Inertial Frame]    …     a COLLADA code containing 8752 lines of <xml>-formatted ASCII text
			<br />Original filename used above: InertialB74C692aa.dae
	</div>		</div>

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	<div align="center" id="Scroll2">		<div align="center" id="Scroll2">
	<b>b74c692DRot.dae</b> [''Direct'' Rotating Frame]    …     a COLLADA code containing 8752 lines of <xml>-formatted ASCII text		<b>b74c692DRot.dae</b> [''Direct'' Rotating Frame]    …     a COLLADA code containing 8752 lines of <xml>-formatted ASCII text
			<br />Original filename used above: TestMulti74.dae
	</div>		</div>

← Older revision		Revision as of 03:55, 14 June 2020
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	* Discussion of [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype\|Ou's Riemann-Like Ellipsoids]]		* Discussion of [[User:Tohline/ThreeDimensionalConfigurations/RiemannStype\|Ou's Riemann-Like Ellipsoids]]

	* [[User:Tohline/ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS\|Riemann Meets COLLADA & Oculus Rift S]]		* [[User:Tohline/ThreeDimensionalConfigurations/MeetsCOLLADAandOculusRiftS\|Riemann Meets COLLADA & Oculus Rift S]]: Example <b>(b/a, c/a) = (0.41, 0.385)</b>
	** [[User:Tohline/Appendix/Ramblings/VirtualReality#Virtual_Reality_and_3D_Printing\|Virtual Reality and 3D Printing]]		** [[User:Tohline/Appendix/Ramblings/VirtualReality#Virtual_Reality_and_3D_Printing\|Virtual Reality and 3D Printing]]
	** [[User:Tohline/Appendix/Ramblings/OculusRift_S\|Success Importing Animated Scene into Oculus Rift S]]		** [[User:Tohline/Appendix/Ramblings/OculusRift_S\|Success Importing Animated Scene into Oculus Rift S]]
	** [[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus\|Carefully (Re)Build Riemann Type S Ellipsoids Inside Oculus Rift Environment]]~~: Example <b>(b/a, c/a) = (0.41, 0.385)</b>~~		** [[User:Tohline/Appendix/Ramblings/RiemannMeetsOculus\|Carefully (Re)Build Riemann Type S Ellipsoids Inside Oculus Rift Environment]]
	** Other Example S-type Riemann Ellipsoids:		** Other Example S-type Riemann Ellipsoids:
	*** <b>[[User:Tohline/Appendix/Ramblings/RiemannB90C333\|(b/a, c/a) = (0.90, 0.333)]]</b>		*** <b>[[User:Tohline/Appendix/Ramblings/RiemannB90C333\|(b/a, c/a) = (0.90, 0.333)]]</b>