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- 23:07, 5 November 2015 diff hist +3,269 User:Tohline/2DStructure/ToroidalCoordinates →Green Cropped-Top Volume: Begin presenting comparison table
- 22:22, 5 November 2015 diff hist +30 User:Tohline/2DStructure/ToroidalCoordinates →Move General Case
- 22:20, 5 November 2015 diff hist +1,192 User:Tohline/2DStructure/ToroidalCoordinates →Green Cropped-Top Volume
- 22:12, 5 November 2015 diff hist +30 User:Tohline/2DStructure/ToroidalCoordinates →Move General Case
- 21:50, 5 November 2015 diff hist +273 User:Tohline/2DStructure/ToroidalCoordinates →Volume with Cropped Top
- 21:42, 5 November 2015 diff hist +16 User:Tohline/2DStructure/ToroidalCoordinates →Code Layout: Add "Parameters" ID tag to table
- 22:34, 4 November 2015 diff hist +561 User:Tohline/2DStructure/ToroidalCoordinates →Volume with Cropped Top
- 17:46, 4 November 2015 diff hist +4,095 User:Tohline/2DStructure/ToroidalCoordinates →Total Mass: Set up integral over (green) cropped region
- 16:33, 4 November 2015 diff hist +1,026 User:Tohline/2DStructure/ToroidalCoordinates →Volume with Cropped Top: Reality checks
- 02:16, 4 November 2015 diff hist +959 User:Tohline/2DStructure/ToroidalCoordinates →Volume with Cropped Top: Finished simplification of integral result
- 01:32, 4 November 2015 diff hist +652 User:Tohline/2DStructure/ToroidalCoordinates →Volume with Cropped Top: More manipulaltion
- 01:02, 4 November 2015 diff hist +54 User:Tohline/2DStructure/ToroidalCoordinates →Volume with Cropped Top: More manipulation of integral result
- 23:56, 3 November 2015 diff hist +1,402 User:Tohline/2DStructure/ToroidalCoordinates →Volume with Cropped Top: Work thru integral expressions
- 23:26, 3 November 2015 diff hist +2,850 User:Tohline/2DStructure/ToroidalCoordinates →Total Mass: Begin evaluating volume of "cropped top" torus
- 22:57, 3 November 2015 diff hist 0 N File:CropTopB.png current
- 01:56, 30 October 2015 diff hist −266 m User:Tohline/2DStructure/ToroidalCoordinates →Move General Case
- 20:25, 29 October 2015 diff hist +4,940 User:Tohline/2DStructure/ToroidalCoordinates →Total Mass: Finished working through rewrite of arctangent term
- 20:19, 28 October 2015 diff hist 0 User:Tohline/2DStructure/ToroidalCoordinates →Code Layout
- 15:09, 27 October 2015 diff hist +35 User:Tohline/2DStructure/ToroidalCoordinates →Code Layout: adjust page-borders for "pre"-formatted code sections
- 23:39, 26 October 2015 diff hist +4,136 User:Tohline/2DStructure/ToroidalCoordinates →Code Layout: Finished laying out code logic
- 22:28, 26 October 2015 diff hist +1,444 User:Tohline/2DStructure/ToroidalCoordinates →Using Toroidal Coordinates to Determine the Gravitational Potential: Begin outlining computer code for 1D integration over xi_1
- 21:42, 26 October 2015 diff hist +1,048 User:Tohline/2DStructure/ToroidalCoordinates →Integrate: rewrite final expression for Phi_0
- 21:29, 26 October 2015 diff hist +1 User:Tohline/2DStructure/ToroidalCoordinates →Connection With the Physical Problem
- 21:21, 26 October 2015 diff hist +551 User:Tohline/2DStructure/ToroidalCoordinates →Connection With the Physical Problem: Insert form of q_0 when using \xi_1 and \theta as the pair of coordinate variables
- 19:45, 25 October 2015 diff hist +101 User:Tohline/2DStructure/ToroidalCoordinates →See Also
- 19:42, 25 October 2015 diff hist +287 User:Tohline/2DStructure/ToroidalCoordinates →See Also: Add links to gnu/GSL special-function libraries
- 00:52, 24 October 2015 diff hist +435 User:Tohline/2DStructure/ToroidalCoordinates →Special Case: Attempt at simplifying last integral expression in special case
- 02:29, 23 October 2015 diff hist +774 User:Tohline/2DStructure/ToroidalCoordinates →Special Case: Switch from integrating over \xi_1 to over \epsilon
- 20:31, 22 October 2015 diff hist +582 User:Tohline/2DStructure/ToroidalCoordinates →Special Case
- 20:22, 22 October 2015 diff hist +496 User:Tohline/2DStructure/ToroidalCoordinates →Special Case: Final expression for \Phi at the special-case location
- 19:09, 22 October 2015 diff hist +426 User:Tohline/2DStructure/ToroidalCoordinates →Special Case: Simplify final expression a bit
- 19:05, 22 October 2015 diff hist +699 User:Tohline/2DStructure/ToroidalCoordinates →Special Case: Clean up result of integration in the "special case"
- 18:12, 22 October 2015 diff hist +98 User:Tohline/2DStructure/ToroidalCoordinates →Integrate: Add link/reference to mymathlib.com, which provides a nice explanation of how to handle negative arguments of elliptical integral functions
- 21:31, 21 October 2015 diff hist +836 User:Tohline/2DStructure/ToroidalCoordinates →Integrate: Some terms rewritten in final integral result
- 21:15, 21 October 2015 diff hist +2,982 User:Tohline/2DStructure/ToroidalCoordinates →Integrate: Full integral!
- 20:17, 21 October 2015 diff hist +1,555 User:Tohline/2DStructure/ToroidalCoordinates →Integrate: Take into account negative arguments of F and E
- 22:18, 19 October 2015 diff hist +982 User:Tohline/2DStructure/ToroidalCoordinates →Integrate: Still troubled by negative k^2 values as argument of elliptic integrals
- 21:48, 19 October 2015 diff hist 0 N File:TorusIntegration2.png current
- 21:47, 19 October 2015 diff hist +2,907 User:Tohline/2DStructure/ToroidalCoordinates →Perform Angular Integration Over Test Mass Distribution: Insert new integration with xi_2 --> cos\theta
- 20:42, 19 October 2015 diff hist +1,428 User:Tohline/2DStructure/ToroidalCoordinates →Connection With the Physical Problem: Change from xi_2 --> sin\theta to xi_2 --> cos\theta
- 18:47, 19 October 2015 diff hist +2,962 User:Tohline/2DStructure/ToroidalCoordinates →Using Toroidal Coordinates with Special Alignment: Finished using toroidal coordinates to derive the volume of the (pink) torus
- 17:55, 17 October 2015 diff hist +2,277 User:Tohline/2DStructure/ToroidalCoordinates →Total Mass
- 17:31, 16 October 2015 diff hist +870 User:Tohline/2DStructure/ToroidalCoordinates →Using Toroidal Coordinates with Special Alignment: Flip order of integrals
- 17:15, 16 October 2015 diff hist +1,900 User:Tohline/2DStructure/ToroidalCoordinates →Using Toroidal Coordinates with Special Alignment: Show integration result using Gradshteyn & Ryzhik
- 16:35, 16 October 2015 diff hist +2,073 User:Tohline/2DStructure/ToroidalCoordinates →Using Toroidal Coordinates with Special Alignment: Show expression for differential volume element using wikipedia's notation for toroidal coordinates
- 21:26, 15 October 2015 diff hist +1,673 User:Tohline/2DStructure/ToroidalCoordinates →Properties: Begin introducing alternative (Wikipedia) description of toroidal coordinates
- 16:43, 15 October 2015 diff hist +767 User:Tohline/2DStructure/ToroidalCoordinates →Using Toroidal Coordinates with Special Alignment: Work on expression for toroidal volume again
- 04:07, 15 October 2015 diff hist +2,278 User:Tohline/2DStructure/ToroidalCoordinates →Using Toroidal Coordinates with Special Alignment: More progress?
- 23:21, 14 October 2015 diff hist +451 User:Tohline/2DStructure/ToroidalCoordinates →Using Toroidal Coordinates with Special Alignment
- 23:14, 14 October 2015 diff hist +3,707 User:Tohline/2DStructure/ToroidalCoordinates →Total Mass: proceed with evaluating integral at limits
