index for bowl paper Maple code and Visio pix

Index for Bowl Paper PhL 12.2.15 There never was an index until today. Section 1 : last update 12/11/15, index is complete 1 Section 2: last update 12/11/15, index is complete 2 Section 3: last update 12/11/15, index is complete 2 Section 4 last update 12/11/15, index is complete 2 Section 5 last update 12/11/15, index is complete 3 Section 6 last update 12/11/15, index is complete 3 Section 7 last update 12/11/15, index is complete 3 Section 8 last update 12/11/15, index is complete 4 Section 9 last update 12/11/15, index is complete 4 Section 10 last update 12/21/15, index is complete 4 Appendix A last update 12/25/15, index is complete 6 Appendix B last update 12/25/15, index is complete 6 Appendix C: last update 12/25/15, index is complete 6 Appendix D: last update 12/25/15, index is complete 6 Appendix E: last update 12/25/15, index is complete 6 Appendix F: last update 12/25/15, index is complete 6 Appendix G: last update 12/25/15, index is complete 6 Appendix H: last update 12/21/15, index is complete 7 Appendix I: last update 12/21/15, index is complete 7 Appendix J: last update 12/21/15, index is complete 8 Appendix K: last update 12/21/15, index is complete 8 Appendix L : last update 12/28/15, index is complete 8 Section 1 : last update 12/11/15, index is complete Fig (1.1.1) is from: bipolar coordinates.vsd, page 11 math/curv.../bipolar doc Fig (1.1.2) is from: toroidal1.vsd, page 1 code is from: toroidal2.mws Fig (1.1.3) is from: bipolar coordinates.vsd, page 2 math/curv.../bipolar doc code is from: cats and u_theta plot.mws math/curv.../bipolar doc Fig (1.2.1) is from: bowl toroidal.vsd, page 4 Metric tensor code below (1.2.2): toroidal3.mws Figs below (1.2.7): Maple = bowl and torus pictures.mws Visio = bowl toroidal.vsd, page 8 Fig (1.2.18) bowl toroidal.vsd, page 4 Section 2: last update 12/11/15, index is complete Eq (2.1.1) ellipsoid solution: 3 potential of charged ellipsoid.doc, page 4 see curvlinear/ellipsoidals Eq (2.1.2) ellipsoid specific sol: 3 potential of charged ellipsoid.doc, page 4 atomic forms (2.2.1) Cartesian: Sturm Liouville atoms in various coord systems.doc see curvlinear atomic forms (2.2.2) sphericals: Sturm Liouville atoms in various coord systems.doc see curvilinear atomic forms (2.2.3) toroidal: Sturm Liouville atoms in various coord systems.doc but uses different variable names see curvilinear also toroidal coordinates.doc, page 43 see curv/toroidal atomic forms (2.2.4) ellipsoidal: 3 potential of charged ellipsoid.doc, page 35 see curvlinear/ellipsoidals generalized Mehler-Fok (2.4.1) verified from page 2 of Boeing thing (manilla folder) regular Mehler-Fok (2.4.2) Boeing page 1 Fig (2.4.15) bowl potential plot: bowlplot2.mws bowl in toroidals Section 3: last update 12/11/15, index is complete Fig (3.1) double bowl: bowl toroidal.vsd, page 1 Fig (3.12) lens: bowl toroidal.vsd, page 3 Section 4 last update 12/11/15, index is complete Fig 4.2.6 bowl kinematics: method of inversion support.vsd electrostatics/inversion theory Maple (4.2.12) , a σ plot bowl sigma plots.mws ***** Maple (4.2.13) code for small hole: bowl sigma plots.mws ***** and Visio picture method of inversion support.vsd electrostatics/inversion theory Section 5 last update 12/11/15, index is complete Fig (5.3) bowlplot v2.mws in bowl in toroidals and Visio in bowl support Dec 2015.vsd ********** Fig (5.4 ) "discontinuity" toroidal1.vsd page 5 Fig (5.6) bowlplot v2.mws bowl in toroidals and Visio in bowl support Dec 2015.vsd ********** Fig (5.7) copy of Fig (1.3.1) Fig (5.8) bowlplot v2.mws bowl in toroidals Fig (5.10) bowlplot v2.mws bowl in toroidals Fig (5.11) bowlplot v2.mws bowl in toroidals Fig (5.12) bipolar coordinates.vsd, page 12 math/curv.../bipolar doc area Fig (5.13) bowlplot v2.mws bowl in toroidals Fig (5.14) bowlplot v2.mws bowl in toroidals Section 6 last update 12/11/15, index is complete All plots are from bowlplot v2.mws bowl in toroidals Section 7 last update 12/11/15, index is complete Most integrals are derived in "doing Mehler transform integrals.doc" perhaps in an odd location. This includes: (7.1.3), (7.1.4), (7.1.5), (7.1.6) and (7.1.7) I derive the integral (7.1.8) !Syntax Error, Idτ Piτ-1/2(y) sh(bτ) sh(πτ)/ch2(πτ) = tan-1 () at the very end of "bowl surface charge in toroidals.doc". And this integral agrees with integral p 20 #3 in the Boeing book. Maple code doing ∂b above (7.2.4) is in "sqrt one plus cosx.mws" Legendre examples above (7.4.1) does not exist but very simple Maple P and Q functions: PandQ.mws bowl in toroidals Fig (7.4.5) sine like plots sqrt one plus cosx.mws Fig (7.4.8) and (7.4.9) same as above bowl in toroidals Section 8 last update 12/11/15, index is complete nothing here Section 9 last update 12/11/15, index is complete all code and plots bowlplot v2.mws z ρ bowl in toroidals Section 10 last update 12/21/15, index is complete Fig (10.1.2) bowl toroidal.vsd page 2 bowl in toroidals Maple (10.2.2) toroid how many terms.mws *********** Fig (10.2.4) bowl toroidal.vsd, page 2 Maple (10.2.6) toroid how many terms.mws, circles from cats and u_theta plot.mws *********** bipolar Maple (10.2.7) toroid how many terms.mws, circles from cats and u_theta plot.mws *********** bipolar Maple (10.2.8) toroid how many terms.mws *********** Fig (10.2.9) C versus R TCF2.mws (toroidal cap function) bowl in toroidals Maple (10.3.1,2,3,4,5) potential for torus.mws *********** Fig (10.2.4) bowl toroidal.vsd, page 2 Fig (10.2.10) nested circles cannot find this vsd picture! Maple graph (I.1.9) from App B study the R=1 limit of C.mws Maple (10.3.1) plot tor pot: potential for torus.mws Maple (10.3.2) plot tor pot: potential for torus.mws Maple (10.3.3) plot tor pot: potential for torus.mws Maple (10.3.4) plot tor pot: potential for torus.mws Maple (10.3.5) plot tor pot: potential for torus.mws Fig (10.4.4) bowl toroidal.vsd, page 2 clip (10.4.8) Chester Snow pdf Maple (10.4.9) TCF1.mws Fig (10.4.10) three circles, cannot find this anywhere. Fig (10.6.1) bowl toroidal.vsd, page 9 Maple (10.6.8) plot toroid sigma1.mws Maple (10.6.9) plot toroid sigma1.mws Maple (10.6.10) plot toroid sigma1.mws Maple (10.6.11) plot toroid sigma1.mws Maple (10.6.12) plot toroid sigma1.mws Visio part in bowl toroidal.vsd, page 6 ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– Fig above old (10.13) circle with u and θ: bowl toroidal.vsd, page 2 graph above old (10.13) looks like Excel? cannot find this graph Appendix A last update 12/25/15, index is complete bowl code bowlplot v2.mws toroid code potential for torus.mws Appendix B last update 12/25/15, index is complete Fig (B.1.3) taken from (6.1) of Bipolar Maple (B.1.4) th.mws Maple (B.1.8) th.mws Maple (B.1.17) th.mws Visio (B.1.17) bowl support Dec 2015.vsd text (B.1.17) right in edit log circa Dec 24, 2015 Visio (B.2.5) bowl support Dec 2015.vsd Appendix C: last update 12/25/15, index is complete Visio (C.3) not on computer! Visio (C.4) superposition support.vsd in Clip (C.5) from Kelvin's PDF page 187 Clip (C.5) Visio bowl toroidal.vsd, page 8 Appendix D: last update 12/25/15, index is complete Fig (D.1) iris and bowl not on computer, same as C.1 above Fig (D.2) method of inversion support.vsd, page 11 Fig (D.9) method of inversion support.vsd, page 11 Fig (D.10) pair method of inversion support.vsd, page 12 Fig (D.15) green disk figure field lines for iris potential.mws Appendix E: last update 12/25/15, index is complete Fig (E.13) bowl toroidal.vsd, p 8 Appendix F: last update 12/25/15, index is complete nothing Appendix G: last update 12/25/15, index is complete The path here is detailed in "canonical -- Section 1_4_1 The Definition Method for the Bowl.doc" in the electrostatics/ canonical folder. I do not show all details in App G, but much more than they showed! Fig (G.7) integration region canonical.vsd general topic doc material is in: D:\Work\My Interests\Physics\E&M\Electrostatics\Canonical\ canonical -- Section 1_4_1 The Definition Method for the Bowl.doc Maple (G.28) legendre sum 2.mws Appendix H: last update 12/21/15, index is complete Maple (H.1.13) attempt at 2_4_10.mws bowl Maple (H.1.21) attempt at 2_4_10.mws bowl Maple (H.1.26) attempt at 2_4_10.mws bowl Maple (H.1.27) attempt at 2_4_10.mws bowl Maple (H.1.29) attempt at 2_4_10.mws bowl Maple (H.1.31) attempt at 2_4_10.mws bowl Maple (H.4.7) toroid charge density doc related.mws bowl Maple (H.4.10) toroid charge density doc related.mws bowl Maple (H.4.14) toroid charge density doc related.mws bowl Appendix I: last update 12/21/15, index is complete Fig (I.1.4) with ρc = 1 bowl toroidal.vsd page 2 bowl in toroidals Fig (I.1.8) : study the R=1 limit of C.mws Fig (I.1.9) : study the R=1 limit of C.mws ******* Fig (I.2.4) warm up ex: Example of non-uniform etc. mws ******* Fig (I.2.16) plots: Example of non-uniform etc. mws ******* Fig (I.2.21) flat plot study the R=1 limit of C.mws ******* Fig (I.2.22) flat plot diving study the R=1 limit of C.mws ******* Fig (I.3.2) bowl toroidal.vsd, page 2 Fig (I.3.4) of purple toroid from the web, could not really identify the source Fig (I.3.9) aiming method study the R=1 limit of C.mws **** Fig (I.3.12) code and output: study the R=1 limit of C.mws **** Fig (I.3.13) 6 point plot study the R=1 limit of C.mws Fig (I.3.15) study the R=1 limit of C.mws Appendix J: last update 12/21/15, index is complete Above (J.2.2) Maple not worth having in a file Maple (J.4.7) toroid charge density doc related.mws bowl Maple (J.5.21) and all following: delta z mnus z'.mws Appendix K: last update 12/21/15, index is complete Maple (K.1.9) bowl and torus pictures.mws Maple (K.1.10) toroid charge density doc related.mws bowl Appendix L : last update 12/28/15, index is complete Maple code (L.4.7) RHS and LHS.mws Maple code (L.5.7) test integral 1.mws Appendix M : last update 1/3/16, index is complete Fig (M.1) Maple code App M.mws Visio bowl toroidal.vsd, page 9 Fig (M.2) Ahlfors support.vsd, page 6 (in complex var area) Fig (M.8) Ahlfors support.vsd, page 56______________________________________________________________ Index is complete as of 12/21/15