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--- chaosbook:billiards [2009/02/13 04:00]
predrag created billiards (naming convention same as chapter files in ChaosBook
+++ chaosbook:billiards [2010/02/14 15:19] (current)
predrag Mason's Billiards chapter comments
@@ Line 4: / Line 4: @@
 (ChaosBook.org blog, chapter [[http://chaosbook.org/paper.shtml#billiards|Billiards]])  --- //[[predrag.cvitanovic@physics.gatech.edu|Predrag Cvitanovic]] 2009-02-11 12:55//
+Now go forth and play billiards --- //John F. Gibson, 2009-02-12 17:27 //
+===== Proofreading, to implement =====
+**Mason A Porter 2010-02-14**
+I'm going through this because I am writing up a solution to a problem that follows this derivation.  I have asked my students to derive the Jacobian for billiards in problem 7 of homework 3, which is on maps, in my class.  The website for the class is [[http://nonlinear2010.blogspot.com/|nonlinear2010.blogspot.com]]
+**Predrag 2010-02-14**
+Great. The chapter needs some loving care, formulas like those of Example 8.1 (3-disks) are a bit stupid. Please use my [[http://chaosbook.org/old/billiards.pdf|internal version]], perhaps more useful for this purpose. Students should also understand the next chapter, "World in a mirror," doing dynamics on the fundamental domain is much smarter than dynamics without desymmetrization. Good problems and solutions we could add to ChaosBook exercises/solutions.
+**Mason A Porter 2010-02-14**
+Immediately  in line below equation (8.6):
+You are missing two "^+" superscripts.
+**Predrag 2010-02-14** I made the editorial decision to mark only  "^-" superscripts. If you think it is confusing, I can add throughout "^+" superscripts, but it ain't pretty...
+**Mason A Porter 2010-02-14**
+In equ (8.11), it should be //k = 1// in the bottom and //n_p// on top (unless you are purposely going against that convention).
+**Predrag 2010-02-14** Otherwise one would be tempted to multiply the wrong way. Now I say "The unconventional product limits are a reminder that
+the product is time-ordered, with later times corresponding to
+multiplication from the left, as in (4.52), AKA equ label {jacoB}."
+===== Proofreading, implemented =====
+**Mason A Porter 2010-02-14**
+You switch back and forth regarding //k//th and //n//th collisions and it would be better to be uniform.
+**Predrag 2010-02-14**
+Historical - cycle length is //n// so sums up //n// were labeled by //k//. But I can see it is not necessary - fixed now.
+**Mason A Porter 2010-02-14**
+You refer to a "velocity" of 1 rather than a "speed" of 1 on several occasions.
+**Predrag 2010-02-14** thanks, fixed.
 ~~DISCUSSION~~

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