On 24 Jul 2011, at 22:08, benjayk wrote:

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Exercise: 1) show that 1 has 8 clothes. (easy) example of clothes for 1 (1^2+0^2+0^2+0^2, 0^2+1^2+0^2+0^2, (-1)^2+0^2+0^2+0^2, ...) 2) show that 2 has 24 clothes (easy but longer) 3) show that all numbers have clothes (very difficult) 4) well Jacobi result: show that the male's number of clothes is 8times the number of their divisors, and show that the female'snumberof clothes is, well a bit more complex, it is 24 times the number of their *male* divisors. (super extremely difficult). I recall male number = odd number, and female number = even number. Take it easy. Jacobi' result illustrates beautiful number's pattern. Its proof lead to the notion of modular form, which are really crazy object in math, and physics. They play a key role in Wiles proof of Fermat theorem.That poetry reminds us that the very little numbers like 0, 1, 2,arevery important.Interesting. I'm not really interested in mathematical excerciseright now.I just finished my exams (including math) and just want to relaxfrom thisstuff ;).

`And I just sent two mathematical theories! Apology. Relax. I wish you`

`good Holiday.`

Bruno http://iridia.ulb.ac.be/~marchal/ -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.