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28 Oct 2008: Show that G is a tree if and only if theaddition of any edge to G produces exactly 1 new cycle.

14 Nov 2008: b) If X is a simplicial complex, show that CX can be given the structure of a simplicialcomplex with one new vertex v0 and a new (n 1)-dimensional simplex for

8 Feb 2008: Itherefore find a new pair of primes and announce that I shall be using the Rabin code with modulusN′ > N. ... 8. Describe the Elgamal signature scheme. Alice uses the Elgamal signature scheme to sign a sequence of messages, incrementing the value ofk

3 Feb 2008: Givea prediction Ŷ of the brain weight Y of a new mammal with body weight 30kg,together with a 95% prediction interval.

1 Nov 2008: What would the new maximal flow be? 27. By finding a suitable potential on the nodes of the network in the figure (i.e., a set ofsuitable node numbers), show that

13 Oct 2008: Thekey to defining these new L-functions is via Euler products, so named becauseEuler in the 18th century proved the identity. ... But a totally new phenomena canoccur here, as was discovered about 1960 by Birch and Swinnerton-Dyer [3].