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Assigned Tuesday January 28; due Friday February 7, 2PM at SS 1071

this document in PDF: HW17.pdf

All of Spivak Chapter 19.

From Spivak Chapter 19: Part (v) of each of problems 1, 2, 3, 5, 7, 9.

Spend 20 minutes a day over the next 7 days doing extra parts of problems 1-9 of Chapter 19. Never finish your work!!! Just get to the point where you are convinced that you know how to continue. In particular, avoid writing what you can do in your head and don't bother to simplify your results.

- Is there an operation (star) that relates to (times) like relates to (plus)? I.e., we hope that and will satisfy P1-P13, or at least P1-P9, with replacing and with replacing (possibly with some replacemet for the values of 0 and 1). Hint: won't work, if only for and thus P8 would fail.
- Is there an operation that relates to like relates to ?
- Write the obvious third, fourth and fifth parts of this question and solve them (you may wish to use the symbols , and ).

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Dror Bar-Natan 2003-02-03