# lp:~blackhc/+junk/mbtpaper

Created by Andreas Kirsch on 2012-02-28 and last modified on 2012-03-19
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Owner:
Andreas Kirsch
Status:
Mature

## Recent revisions

47. By Andreas Kirsch on 2012-03-19

Flush last changes.

46. By Andreas Kirsch on 2012-03-19

add the final pdf

45. By Andreas Kirsch on 2012-03-19

added more pictures

44. By Andreas Kirsch on 2012-03-19

add 15 margin pictures

43. By Andreas Kirsch on 2012-03-19

More fixes:
p 12: add remark about time-parallel transport
p 14: M is C^1
p 22: remark and definition in wrong order/swapped, and def of \phi needs an oriented angle, too
p 23: superfluous factor 2 in term transformation
p 24: new definition of a discrete normal
p 26: remove explicit time reference from remark, add remark about time-parallel transport
p 27: used the variable for parallel transport instead of the parallel frame in a short equation, mention that the discrete curve is regular and thus \phi != \pi
p 28: rework the whole proof for 4.60, because it was a notational mess
p 29: add a sentence about the orientation of the material angle
p 31: mass definition contains wrong factor 1/2 and the same holds for the corollary above it
p 32: missing - sign in 5.18
p 41: steps 3. and 4. in the angular velocity update were wrong

42. By Andreas Kirsch on 2012-03-18

Proof read chapter 1 and 2 one more time:
p 2: add: a . b = |a| |b| cos angle between a and b
p 3: add: a || b <=> a . (b x c) = |a| |b| |c| sin(oriented angle between b and c around a)
I have forgotten to talk about the orientation of angles before.
p 9: in Diff 2.55: mention that the curve has to be arc-length parameterized
p 10: a frame needs to be C1
p 11: I wrote \gamma instead of \gamma' two times
remark 2.68 doesn't really make sense/add much now, so I've removed it
p 12: a frames only needs to be C1, not C2

41. By Andreas Kirsch on 2012-03-17

- this is the finished bsc theses + changes of the document layout

40. By Andreas Kirsch on 2012-03-15

- finish a missing part of a proof in rotation_matrices.tex

39. By Andreas Kirsch on 2012-03-15

- rework FMP a bit

38. By Andreas Kirsch on 2012-03-15

- fixes

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