Gary
GaryVasco
Posts: 3,352 
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Post by Gary on Jun 26, 2016 14:36:29 GMT
Vasco, I have an answer to Ex 1, but I'm not very comfortable with it, particularly the second part, that (5) implies (6). nh.ch6.ex1.pdf (97.49 KB) Gary |
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Post by Admin on Jun 27, 2016 15:26:19 GMT
Gary I have now published my solution to this exercise, so I will now take a look at yours. Vasco I found and corrected a typo. In part (ii), I wrote that there were six triangles when there were actually seven! I have corrected this. It does not affect the conclusions of the proof of part (ii) at all. 11th August 2016. |
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Post by Admin on Jun 27, 2016 17:09:46 GMT
Gary
I think that (4) on page 270 only applies when $k$ is constant, and so you can't then apply it to exercise 1 where $k$ varies with $p$. That's why it is written $k(p)$ in equations (5) and (6).
Vasco
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Gary
GaryVasco
Posts: 3,352
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Post by Gary on Jul 4, 2016 3:38:48 GMT
Gary I think that (4) on page 270 only applies when $k$ is constant, and so you can't then apply it to exercise 1 where $k$ varies with $p$. That's why it is written $k(p)$ in equations (5) and (6). Vasco Vasco, Agreed. The proof of the first part is clever. I had a similar proof to the second part, but not worth displaying here. Gary |
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Post by Admin on Aug 11, 2016 6:56:19 GMT
I have just corrected a typo in my solution - see changes to my original post above.
Vasco
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