Index for Maple and Visio
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A working index dated 5.13.16 by Phil (PhL) for the wedge and tensor document. It lists equation and figure numbers across chapters 1-10 and appendices B-G, giving the Maple worksheet (.mws) or Visio drawing (.vsd) page each came from. It also records which items were quoted and verified from Spivak, Lang, Suter and Loring Tu, and which figures are repeats. Topics include Kronecker matrices, minors, pullbacks and det(RTR).
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Index for Maple and Visio PhL 5.13.16
Comment: There is very little Maple stuff in wedge doc, see red.
Most Visio pix are in wedge.vsd in top level wedge directory. Default director is wedge or wedge/mws.
The tensor doc pics are in
Curvilinear Systems\Tensor Doc and Support\support notes and rejects/Tensor paper.vsd (Tensor)
Fig (1.2.1) showing category diagram desktop/tensor products/ ST map picture.vsd p 1
Fig (1.2.6) showing category diagram desktop/tensor products/ ST map picture.vsd p 1
Fig (2.1.1) showing Picture A tensor p General
(2.6.7) Maple code on the three e,E vectors mws/tensor wedge 1.mws
(3.2.26) Maple code for Kronecker matrices kronecker2.mws
(3.2.27) Maple code for Kronecker matrices kronecker2.mws
(3.2.30) Maple code for Kronecker matrices kronecker2.mws
Fig (4.3.13) showing minors of tall matrix wedge stuff/wedge1.vsd p1
Fig (7.1.1) taken from Suter page 7 ref verified
Maple (7.6.2) showing ratio of elements Lk/Vk wedge 6_7_2.mws
(7.9.g.2) two Spivak references p 79 and p 80 verified
Fig (10.2.1) x to x' M sail on right wedge.vsd p 8
Fig (10.2.2) Picture A' tensor p General top
Fig (10.2.4) cartoon pix from Spivak page 110 verified
Fig (10.2.5) circle as manifold Sjamaar1.vsd, p 2
(10.2.6) snipped from Lang's book page 131 verified
(10.5.9) star theorem quoted from Spivak page 94 verified
(10.6.a.1) copy of Picture A ----
Maple (10.6.b.4) showing hemisphere Example 1 examples non square R.mws
Maple copied matrices for (10.6.b.10) Example 2 examples non square R v2.mws
Fig (10.6.c.1) showing S and R matrix boxes wedge.vsd p 5 top
Fig (10.7.5) showing x to x' with basis vectors pulled back wedge.vsd p 4 bottom
Fig (10.7.25) showing category diagram wedge.vsd p 7
Fig (10.7.26) x to x' sail picture showing form pullback wedge.vsd p 8
Fig (10.9.1) both Picture A' and Picture F' --- + tensor p 9 bottom
Fig (10.9.2) t to x version of basis vector pullback wedge.vsd p 4 3rd pic
Fig (10.9.3) t to x version of sail picture with form pullback wedge.vsd p 4 top
Fig (10.9.3a) t to x mapping square to torus wedge.vsd p 3 middle
Fig (10.9.3b) t to x mapping segment to curve wedge.vsd p 3 top
(10.10.22) Maple showing three k values are same
(10.11.6) is quote from Loring Tu book Sjamaar forms, p 263 verified
Fig (10.9.3) replicated ----
Fig (10.12.4) showing respeeding of curve buck/buck ch6.vsd p 1
Fig (10.12.4) repeat of Fig (10.9.3b) showing t to x curve map ----
Fig (10.12.22) showing more general curve mapping wedge.vsd p 11
Fig (10.13.10) is repeat of (10.9.3a) ----
Fig (B.20) showing block diagonal form matrices wedge.vsd p 1
Fig (B.21) showing block diagonal form matrices wedge.vsd p 1
(C.4.8) quoted ω η θ equation from Spivak page 80 verified
Fig (E.1) repeat of Pictures A' and F' (this one twice) ----
Fig (E.14) repeat of (10.9.2) showing t to x for basis vector pullbacks ----
Fig (F.1.1) showing transforms for det(RTR) business R2 to R3 measure.vsd p 1
Fig (F.2.1) showing transforms for det(RTR) business R2 to R4 measure.vsd p 1
Fig (F.3.1) showing transforms for det(RTR) business R3 to R4 measure.vsd p 1
Fig (F.5.1) above, repeat of Fig (10.7.5) ----
Maple (G.1.1) showing minors calc for 6 x 4 R matrix Section F_7 theorem.mws
Fig (G.2.2) below, repeat of Fig (10.7.27) sail picture x to x' β pullback ----