# User:Tohline/Appendix/Ramblings

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## Contents |

## Ramblings

Sometimes I explore some ideas to a sufficient depth that it seems worthwhile for me to archive the technical derivations even if the idea itself does not immediately produce a publishable result. This page, which has a simple outline layout, provides links to these various pages of technical notes.

- Relationship between HNM82 models and T1 coordinates
- Orthogonal Curvilinear Coordinates
- Playing with the Spherical Wave Equation
- Analyzing Azimuthal Distortions
- Summary for Hadley & Imamura
- Detailed Notes 🎦
- Supplementary database generated by the Hadley & Imamura collaboration
- Large supplementary dataset accumulated by the Hadley & Imamura collaboration
- YouTube videos that supplement simulations of J. W. Woodward, J. E. Tohline, & I. Hachisu (1994)
- Stability Analyses of PP Tori
- Stability Analyses of PP Tori (Part 2)

- Integrals of Motion
- Old discussion
- T3 Coordinates
- Special (quadratic) case: Joel's Derivation vs. Jay's Derivation
- Killing Vector Approach; Jay Call's related Talk page
- Characteristic Vector for T3 Coordinates
- T4 Coordinates (Abandoned by Joel 7/6/2010 because non-orthogonal)
- Marcello's Radiation-Hydro Simulations
- Photosphere of Stably Accreting DWD
- Binary Polytropes
- Initial Effort to Explain Jay Call's
*Hybrid*Scheme in the Context of Zach Byerly's Dissertation - Exploring the Properties of Radial Oscillations in Pressure-Truncated n = 5 Polytropes
- Instabilities Associated with Equilibrium Sequence Turning Points
- Derivations Related to Ledoux's Variational Principle
- More on Zero-Zero Bipolytropes
- Pt 1: Radial Oscillations of a Zero-Zero-Bipolytrope (Early Flawed Summary)
- Pt 2: Details
- Pt 3: Searching for Additional Eigenvectors
- Pt 4: Good Summary
- Numerically Determined Eigenvectors
- Analyzing Five-One Bipolytropes
- Assessing the Stability of Spherical, BiPolytropic Configurations
- Searching for Analytic EigenVector for (5,1) Bipolytropes
- Discussing Patrick Motl's 2019 Simulations
- Continue Search
- On the Origin of Planetary Nebulae (Investigation Resulting from a July, 2013 Discussion with Kundan Kadam)</lli>
- Looking outward, from Inside a Black Hole
- Radial Dependence of the Strong Nuclear Force
- Dyson (1893a) Part I: Some Details
- Radiation-Hydrodynamics
- Saturn
- Doctoral students Tohline has advised over the years

## Mathematics

- Roots of Cubic Equation
- PP Tori — Also includes cube root of a complex number
- Srivastava's F-Type solution for polytropes.
- Murphy & Fiedler's Bipolytrope with
- Analytic Eigenfunctions for Bipolytropes with — also involves cube root of a complex number
- Roots of Quartic Equation
- Singular Sturm-Liouville (eigenvalue) Problem
- Oscillations of PP Tori in the slim torus limit
- Characteristics of unstable eigenvectors in self-gravitating tori
- Approximate Power-Series Expressions
- Fourier Series
- Special Functions & Other Broadly Used Representations
- Spherical Harmonics and Associated Legendre Functions
- Multipole Expansions
- Familiar Expression for the Cylindrical Green's Function Expansion
- Toroidal Functions
- Green's Function in terms of Toroidal Functions
- Compact Cylindrical Green Function
- Toroidal configurations & related coordinate systems — Includes
**EUREKA!**moment; also uses wikitable overflow (scrolling) box - Toroidal Coordinate Integration Limits Includes Table of Example K(k) and E(k) Function Values
- Using Toroidal Coordinates to Determine the Gravitational Potential (Initial Presentation)
- Relationships between Toroidal Functions 5 plots of [
**MF53**] data included here - Confusion Regarding Whipple Formulae
- Pulling It All Together 2 additional plots of [
**MF53**] data included here

## Key Directories/Files on xxxx.phys.lsu.edu

### Primary Web

public_html = /opt1/usrlocal/apache2/htdocs/graceland/faculty/tohline = http://www.phys.lsu.edu/faculty/tohline …

HOMEPAGE RELEVANT

- index.html
- indexhtv.html: Homepage prior to "accessibility statement" added by htv (Hortensia)
- indexMarch2011.html
- biosketch.html
- courses.html: Also see "courses" directory, below
- faculty.awards.html: explains what an Alumni Professorship is
- features.html: lists featured work
- publications.html: Older version of ref_ref.html
- ref_index.html
- ref_IPAM2005.html
- ref_movies.html
- ref_ref.html
- research.html
- resume.html
- students.html
- vision.html
- resume0.html
- ref0_index.html
- ref0_ref.html
- PDF-formatted …
- resume.forpdf.html
- resume01.forpdf.html
- resume02.forpdf.html
- resume08.forpdf.html
- ref_ref.forpdf.html
- ref_ref.forpdf06.html
- ref_ref.forpdf07.html
- ref_ref.forpdf08.html
- research.forpdf.html
- t.html: (circa 2006) Single-page statement of research interests an relevant publications
- test.html: very early draft of homepage layout, including one of Andalib's binary vector flows
- test2.html: very early draft of homepage layout

DIRECTORIES

- aasvideo2006: Simply points to subdirectory … tohline/astroph/dmtf05/
- Appendices
- Applications
- arribas: OBJ files prepared in effort to solicit "Micky Mouse" glass solid rectangle from Arribas
- astr1102.04
- astr4222
- astroph
- BPFest:
- capital
- CHEGA
- CIP
- cise: Fledgling effort to construct "astrophysics portal" for CISE magazine
- CiSE
- clayton
- Context
- courses
- grbcollaboration
- GRBcollaboration
- GRsources
- honors
- idesk
- image.ensemble
- Interim2001
- Landolt
- ligo
- lisa6
- lsulogos
- movies
- MRAC_2007
- NAVO
- NCSA
- SDSC
- NPACI98
- NRAC98.proposal
- NRAC99
- NRAC_2000
- NRAC_2001
- NRAC_2002
- NRAC_2004
- NRAC_2005
- NRC_rankings
- NSF99
- NSF02
- NSF03
- oldcommittees
- oldpdfs
- oldwebpages
- papers
- PHYS2411
- phys4412
- PHYS7412
- phys7741
- pullin
- rmode
- sabbatical
- Sci-Tech
- sources
- sph-grid
- Talks
- Talks_Additional
- temp
- vistrails
- vita
- webintro
- whyOOP
- www.cise.org
- youtube

GRAD STUDENTS

- barnes/
- motl/
- ou/
- valencic.html

IMAGES

- ballgreen.gif
- greenbullet.gif
- horiz.line.gif
- merger.oneil.mpeg
- pics/
- purplebullet.gif
- rmode.final.mpeg
- saied.stream.gif
- saied.vel1.gif
- stable.gif
- tohline.jpg
- tohline.old.gif
- rhoT.final.pdf: Figure for 2001 ARAA review article
- rhoT.final.ps: Figure for 2001 ARAA review article

OTHER FILES

- fission.movies.html: detailed overview of (primarily) dissertation work by John Cazes
- HDmovies.html: (circa 2008) Explaining need to feed broadcast HDTV format
- html.documents.html: list (prior to 2005) of talks/papers/proposals in HTML format
- meaganISEF.html: A thank-you note from Meagan Messina dated 5/16/2000
- out01
- Quicktime.html: (circa 2005) detailed overview of steps used to generate a Quicktime animation sequence
- realtime.html (circa 2005) detailed estimate of feasibility of real-time analysis (e.g., inside CAVE) of 3D CFD flows
- symbol.html: Early draft of H_Book page giving PGEs in spherical symmetry
- T3E.timings.html: Points to same file name inside "SDSC" directory
- TinsleyNotes1978.pdf
- Tohline_Dissertation.pdf
- valtech.html: (circa 1999) John Woodward's company?

### Secondary Web

public = /opt1/usrlocal/apache2/htdocs/tohline

DIRECTORIES

- Gifs
- HBook
- IGERT
- New

FILES

- LSUAEI.movies.html
- LSUAEI.talk.pdf
- LSUAEI.talk.ppt
- TalkSantaFe.ppt

## Computer-Generated Holography

Computer Generated Holgram (Fall 2004) |

- Lead in …
- Apertures that are Parallel to the Image Screen:
- One-dimensional Aperture
- Two-dimensional, Rectangular Aperture
- Relevance to Holograms
- Caution and Words of Wisdom
- Apertures that are Tilted with Respect to the Image Screen:
- Building Holograms from VRML Files:
- Embracing COLLADA (2020)
- Quantum Mechanics

© 2014 - 2020 by Joel E. Tohline |