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• 15:08, 4 July 2024 Joel2 talk contribs created page Jaycall/T3Coordinates/SpecialCase (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> ==Coordinate Transformations== If the special case <math>q^2=2</math> is considered, it is possible to invert the coordinate transformations in closed form. The coordinate transformations and their inversions become <table align="center" border="0" cellpadding="2"> <tr> <td align="right"> <math> \lambda_1 </math> </td> <td align="center"> <math>\equiv</math> </td> <td align="left"> <math>\left( R^2+2z^2 \r...")
• 15:05, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/T3Integrals/QuadraticCase (Created page with "__FORCETOC__ <!-- __NOTOC__ will force TOC off --> =T3 Coordinates (continued)= On one accompanying wiki page we have introduced T3 Coordinates and on another we have described how Jay Call's Characteristic Vector applies to T3 Coordinates. Here we investigate the properties of our T3 Coordinate system in the sp...")
• 14:28, 4 July 2024 Joel2 talk contribs created page File:EUREKA 21Jan2021 sm.png
• 14:28, 4 July 2024 Joel2 talk contribs uploaded File:EUREKA 21Jan2021 sm.png
• 14:09, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/ForOuShangli (Created page with "<!-- __FORCETOC__ will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =For Shangli Ou= In order to download any one of (a selected subset of) the COLLADA-based model files referenced below, go to … <table border="3" align="center" cellpadding="10"><tr><td align="center" bgcolor="red"> <table border="0" cellpadding="8" align="center"> <tr> <td align="center"> Appendix/Ramblings/COLLADA/RiemannSType|<font color="white" size...")
• 14:03, 4 July 2024 Joel2 talk contribs created page Appendix/Ramblings/COLLADA/RiemannSType (Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =COLLADA-based Models of Riemann S-Type Ellipsoids= <div align="center"><font color="darkgreen">(Initially posted January 2021)</font> </div> ==Instructions== Table 1 provides links to a variety of COLLADA-based animated 3D models that have been developed for use wi...")
• 13:51, 4 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/DescriptionOfRiemannTypeI (Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Description of Riemann Type I Ellipsoids= {| class="RiemannType1" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#ffeeee;" |<b>Type I<br />Riemann<br />Ellipsoids</b> |} A more succinct version of this...")
• 13:02, 4 July 2024 Joel2 talk contribs created page File:CropTopB.png
• 13:02, 4 July 2024 Joel2 talk contribs uploaded File:CropTopB.png
• 13:02, 4 July 2024 Joel2 talk contribs created page File:WolframAlphaTorusVolume.png
• 13:02, 4 July 2024 Joel2 talk contribs uploaded File:WolframAlphaTorusVolume.png
• 19:21, 3 July 2024 Joel2 talk contribs created page File:YZplaneXm085.png
• 19:21, 3 July 2024 Joel2 talk contribs uploaded File:YZplaneXm085.png
• 19:20, 3 July 2024 Joel2 talk contribs created page File:YZplane3.png
• 19:20, 3 July 2024 Joel2 talk contribs uploaded File:YZplane3.png
• 19:12, 3 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/ChallengesPt6 (Created page with "__FORCETOC__<!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Challenges Constructing Ellipsoidal-Like Configurations (Pt. 6)= This chapter has been created in February 2022, after letting this discussion lie dormant for close to one year. We begin the chapter by grabbing large segments of our earlier derivations found primarily in the "Ramblings" chapter titled, ThreeDimensionalConfigurations/ChallengesPt4|''Construction...")
• 19:10, 3 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/ChallengesPt5 (Created page with "__FORCETOC__<!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Challenges Constructing Ellipsoidal-Like Configurations (Pt. 5)= This chapter extends the accompanying chapters titled, ''Construction Challenges (Pt. 1)'', ''(Pt. 2)'', ''(Pt. 3)'', and ThreeDimensionalConfigurations/Ch...")
• 19:09, 3 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/ChallengesPt4 (Created page with "__FORCETOC__<!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Challenges Constructing Ellipsoidal-Like Configurations (Pt. 4)= This chapter extends the accompanying chapters titled, ''Construction Challenges (Pt. 1)'', ''(Pt. 2)'', and ''(Pt. 3)''. The focus here is on firming up ou...")
• 19:07, 3 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/ChallengesPt3 (Created page with "__FORCETOC__<!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Challenges Constructing Ellipsoidal-Like Configurations (Pt. 3)= This chapter extends the accompanying chapters titled, ''Construction Challenges (Pt. 1)'' and ''(Pt. 2)''. The focus here is on firming up our understanding of the relationships between various "tilted" C...")
• 19:06, 3 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/ChallengesPt2 (Created page with "__FORCETOC__<!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Challenges Constructing Ellipsoidal-Like Configurations (Pt. 2)= This chapter extends an accompanying chapter titled, ''Construction Challenges (Pt. 1)''. The focus here is on an SCF technique that will incorporate specification of a Lagrangian flow-flied. ==Motivation== ===Where Are We Headed?=== In a ThreeDimensi...")
• 18:47, 3 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/Challenges (Created page with "__FORCETOC__<!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Challenges Constructing Ellipsoidal-Like Configurations= First, let's review the three different approaches that we have described for constructing Riemann S-type ellipsoids. Then let's see how these relate to the technique that has been used to construct infinitesimally thin, nonaxisymmetric disks. ==Riemann S-type Ellipsoids== Usually, the density, <math>~\r...")
• 18:26, 3 July 2024 Joel2 talk contribs created page File:PrimedCoordinates3.png
• 18:26, 3 July 2024 Joel2 talk contribs uploaded File:PrimedCoordinates3.png
• 18:24, 3 July 2024 Joel2 talk contribs created page File:EFEfig17firstSmall.png
• 18:24, 3 July 2024 Joel2 talk contribs uploaded File:EFEfig17firstSmall.png
• 18:22, 3 July 2024 Joel2 talk contribs created page File:F McA.png
• 18:22, 3 July 2024 Joel2 talk contribs uploaded File:F McA.png
• 18:12, 3 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/CAREs (Created page with "__FORCETOC__<!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =New Thoughts Regarding the Formation of Binary Stars= {| class="CAREs" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:white;" |<b>Thoughts<br />&<br />Challenges</b> |} It is February, 2020 and I hav...")
• 15:09, 3 July 2024 Joel2 talk contribs created page File:ProjectedOrbitsFlipped2.png
• 15:09, 3 July 2024 Joel2 talk contribs uploaded File:ProjectedOrbitsFlipped2.png
• 15:08, 3 July 2024 Joel2 talk contribs created page File:B125c470B.cropped.png
• 15:08, 3 July 2024 Joel2 talk contribs uploaded File:B125c470B.cropped.png
• 15:08, 3 July 2024 Joel2 talk contribs created page File:B125c470A.cropped.png
• 15:08, 3 July 2024 Joel2 talk contribs uploaded File:B125c470A.cropped.png
• 15:05, 3 July 2024 Joel2 talk contribs created page File:EFE Fig17p171.cropped.png
• 15:05, 3 July 2024 Joel2 talk contribs uploaded File:EFE Fig17p171.cropped.png
• 15:04, 3 July 2024 Joel2 talk contribs created page File:EFE TableXIIIp170.cropped.png
• 15:04, 3 July 2024 Joel2 talk contribs uploaded File:EFE TableXIIIp170.cropped.png
• 15:03, 3 July 2024 Joel2 talk contribs created page File:TypeI b1.25c470B.png
• 15:03, 3 July 2024 Joel2 talk contribs uploaded File:TypeI b1.25c470B.png
• 15:03, 3 July 2024 Joel2 talk contribs created page File:TypeI b1.25c470A.png
• 15:03, 3 July 2024 Joel2 talk contribs uploaded File:TypeI b1.25c470A.png
• 14:58, 3 July 2024 Joel2 talk contribs created page ThreeDimensionalConfigurations/RiemannTypeI (Created page with "__FORCETOC__ <!-- will force the creation of a Table of Contents --> <!-- __NOTOC__ will force TOC off --> =Riemann Type 1 Ellipsoids= {| class="RiemannType1" style="float:left; margin-right: 20px; border-style: solid; border-width: 3px border-color: black" |- ! style="height: 125px; width: 125px; background-color:#ffeeee;" |<b>Type I<br />Riemann<br />Ellipsoids</b> |}  <br />  <br />  <br />  <b...")
• 14:54, 3 July 2024 Joel2 talk contribs created page File:EulerAnglesExample02.jpeg
• 14:54, 3 July 2024 Joel2 talk contribs uploaded File:EulerAnglesExample02.jpeg
• 14:36, 3 July 2024 Joel2 talk contribs created page File:BerciuFig2cCorrect.png (Renamed)
• 14:36, 3 July 2024 Joel2 talk contribs uploaded File:BerciuFig2cCorrect.png (Renamed)
• 14:35, 3 July 2024 Joel2 talk contribs created page File:BerciuFig2bCorrect.png
• 14:35, 3 July 2024 Joel2 talk contribs uploaded File:BerciuFig2bCorrect.png
• 14:34, 3 July 2024 Joel2 talk contribs created page File:BerciuFig2aCorrect.png (Renamed)