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- 21:29, 28 September 2014 diff hist +1,833 User:Tohline/SSC/Virial/Polytropes →Renormalization: Finished demonstrating general applicability of virial equilibrium relation
- 20:43, 28 September 2014 diff hist +367 User:Tohline/SSC/Virial/Polytropes →Renormalization: Clean up a bit of the presentation
- 17:04, 27 September 2014 diff hist +256 User:Tohline/SSC/Virial/Polytropes →Renormalization
- 16:42, 27 September 2014 diff hist +1,018 User:Tohline/SSC/Virial/Polytropes →Renormalization: More progress
- 16:25, 27 September 2014 diff hist +1,362 User:Tohline/SSC/Virial/Polytropes →Renormalization: Begin deriving fully explicit definition of Pi_ad
- 16:01, 27 September 2014 diff hist −1,097 User:Tohline/SSC/Virial/Polytropes →Renormalization: Delete last 3 rows of "Renormalization" table
- 15:22, 27 September 2014 diff hist +437 User:Tohline/SSC/Virial/Polytropes →Contrast with Detailed Force-Balanced Solution: Clean up yesterday's derivations a bit
- 00:54, 27 September 2014 diff hist −314 User:Tohline/SSC/Virial/Polytropes →Renormalization: Finished cleaning up derivation of chi_ad
- 00:29, 27 September 2014 diff hist +5 m User:Tohline/SSC/Virial/Polytropes →Contrast with Detailed Force-Balanced Solution: Insert closing "div" tag
- 00:28, 27 September 2014 diff hist +1,162 User:Tohline/SSC/Virial/Polytropes →Contrast with Detailed Force-Balanced Solution: Write out definition of R_Hoerdt/R_norm and P_Hoerdt/P_norm for later use
- 23:47, 26 September 2014 diff hist +313 User:Tohline/SSC/Virial/Polytropes →Contrast with Detailed Force-Balanced Solution: Explicitly indicate that Hoerdt normalizes his parameters using M_limit, not M_tot
- 21:14, 26 September 2014 diff hist +777 User:Tohline/SSC/Virial/Polytropes →Renormalization: Begin tedious task of inserting ratio of M_limit to M_tot
- 20:24, 26 September 2014 diff hist +96 User:Tohline/SSC/Virial/Polytropes →Contrast with Detailed Force-Balanced Solution: Remove border from "isolated polytrope" table in order not to draw attention to it unduely
- 17:00, 26 September 2014 diff hist +3,698 User:Tohline/SSC/Virial/Polytropes →Renormalization: Begin developing full expressions for newly normalized equilibrium radius and external pressure
- 19:02, 25 September 2014 diff hist +4,933 User:Tohline/SSC/Virial/Polytropes →Contrast with Detailed Force-Balanced Solution: Finished deriving structural form factors in the truncated polytrope case
- 16:47, 25 September 2014 diff hist +2,192 User:Tohline/SSC/Virial/Polytropes →Contrast with Detailed Force-Balanced Solution
- 16:14, 25 September 2014 diff hist +2,984 User:Tohline/SSC/Virial/Polytropes →Nonrotating Adiabatic Configuration Embedded in an External Medium
- 15:33, 25 September 2014 diff hist +3,996 User:Tohline/SSC/Virial/Polytropes →Nonrotating Adiabatic Configuration Embedded in an External Medium
- 20:29, 24 September 2014 diff hist +350 User:Tohline/SSC/Virial/Polytropes →Solution Expressed in Terms of M and Central Pressure: Add last sentence referring back to limiting solution when P_e = 0
- 20:25, 24 September 2014 diff hist +2,208 User:Tohline/SSC/Virial/Polytropes →Nonrotating Adiabatic Configuration Embedded in an External Medium: Insert solution in terms of central pressure
- 19:09, 24 September 2014 diff hist +918 User:Tohline/SSC/Virial/Polytropes →Nonrotating Adiabatic Configuration Embedded in an External Medium: Modified subsection (including heading) to indicate only one of two points of view
- 18:51, 24 September 2014 diff hist +127 User:Tohline/SSC/Virial/Polytropes →Mass-Radius Relationship: Refer back to table titled TwoPointsOfView
- 18:45, 24 September 2014 diff hist +21 User:Tohline/SSC/Virial/Polytropes →Isolated Nonrotating Adiabatic Configuration: Insert "ID" tag on TwoPointsOfView table
- 18:42, 24 September 2014 diff hist +34 m User:Tohline/SSC/Virial/Polytropes →Alternate Derivation
- 18:41, 24 September 2014 diff hist +153 User:Tohline/SSC/Virial/Polytropes →Alternate Derivations: Omit sub-subsection showing alternate derivation of central pressure
- 18:39, 24 September 2014 diff hist +457 User:Tohline/SSC/Virial/Polytropes →Central Pressure: Add final expression in terms of mean pressure, and change subsection heading accordingly
- 18:29, 24 September 2014 diff hist +485 User:Tohline/SSC/Virial/Polytropes →Isolated Nonrotating Adiabatic Configuration: Add final expression on left side of table, giving result in terms of polytropic index instead of gamma
- 20:13, 23 September 2014 diff hist +3,176 User:Tohline/SSC/Virial/Polytropes →Isolated Nonrotating Adiabatic Configuration: Construct table showing two different ways of accessing the virial theorem solution
- 16:45, 23 September 2014 diff hist +417 User:Tohline/SSC/Virial/Polytropes →Virial Equilibrium: Replace coefficient definitions with updated expressions
- 16:31, 23 September 2014 diff hist +5 m User:Tohline/SphericallySymmetricConfigurations/Virial →Gathering it all Together
- 16:29, 23 September 2014 diff hist +418 User:Tohline/SphericallySymmetricConfigurations/Virial →Gathering it all Together: Alter coefficient expressions to include ratio of M_limit to M_tot, plus alternate expression for "B"
- 16:14, 23 September 2014 diff hist −25 User:Tohline/SphericallySymmetricConfigurations/Virial →Structural Form Factors: Insert second (alternate) way to express thermal energy content
- 16:05, 23 September 2014 diff hist +598 User:Tohline/SphericallySymmetricConfigurations/Virial →Structural Form Factors: Spruce up energy-term expressions that include definitions of various structural form factors
- 15:34, 23 September 2014 diff hist −22 m User:Tohline/SphericallySymmetricConfigurations/Virial →Summary of Normalized Expressions: Delete redundant "E_norm" in expresion for \mathfrak{S}_I
- 15:33, 23 September 2014 diff hist +155 User:Tohline/SphericallySymmetricConfigurations/Virial →Idealized Configuration: Slightly rearrange integral expressions to conform with revised table of normalized expressions
- 15:14, 23 September 2014 diff hist +217 User:Tohline/SphericallySymmetricConfigurations/Virial →Implementation: To help emphasize their importance, put final set of "normalized expressions" in a bordered table
- 17:10, 21 September 2014 diff hist +14 m User:Tohline/SphericallySymmetricConfigurations/Virial →Separate Time & Space: Shuffle some numerical coefficients inside/outside integrals to conform with later form-factor definitions
- 17:04, 21 September 2014 diff hist +208 User:Tohline/SphericallySymmetricConfigurations/Virial →Separate Time & Space
- 17:00, 21 September 2014 diff hist +511 User:Tohline/SphericallySymmetricConfigurations/Virial →Separate Time & Space: Modify expressions to account for ratio of M_limit/M_tot
- 16:30, 21 September 2014 diff hist +9 m User:Tohline/SphericallySymmetricConfigurations/Virial →Normalize: Use "R_limit" as integral limit consistently throughout
- 16:26, 21 September 2014 diff hist +48 m User:Tohline/SphericallySymmetricConfigurations/Virial →Normalizations: Modify text to be consistent with usage of variable "R_limit"
- 16:15, 21 September 2014 diff hist +230 User:Tohline/SphericallySymmetricConfigurations/Virial →Volume Integrals: Insert "R_limit" in most limits of integration
- 16:07, 21 September 2014 diff hist +84 User:Tohline/SphericallySymmetricConfigurations/Virial →Volume Integrals
- 16:04, 21 September 2014 diff hist +2,128 User:Tohline/SphericallySymmetricConfigurations/Virial →Volume Integrals: Insert short "text table" to motivate use of M_limit, as distinct from M_tot
- 16:02, 21 September 2014 diff hist +10 m User:Tohline/H Book →Structure:: Fix link to free-energy analysis of polytropes embedded in an external medium
- 16:00, 21 September 2014 diff hist +7 m User:Tohline/H Book →Structure:: Correct link to free-energy analysis of isolated polytropes
- 17:33, 19 September 2014 diff hist +29 m User:Tohline/SSC/Virial/Polytropes →Virial Equilibrium: Inserted caveat that form-factor expression have so-far been defined only for "isolated polytropes"
- 17:29, 19 September 2014 diff hist +2,815 User:Tohline/SSC/Virial/Polytropes →More Precise Form Factors: Proved that zero equals zero! And, less sarcastically, it looks like all of the coefficient calculations --taken from the bipolytrope work -- are correct.
- 16:55, 19 September 2014 diff hist +3,165 User:Tohline/SSC/Virial/Polytropes →More Precise Form Factors: Establish definitions for mathcal (A) (B) and (C), using derivations from bipolytrope discussion
- 15:37, 19 September 2014 diff hist +967 User:Tohline/SSC/Virial/Polytropes →More Precise Form Factors