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20 Dec 2018: 18. 7 Hamming’s breakthrough 20. 8 General considerations 24. 9 Some elementary probability 27. ... 24 Exercise Sheet 1 85. 25 Exercise Sheet 2 90. 26 Exercise Sheet 3 95.

8 Dec 2018: Theorem 3.24 (Gauss formula). For any vector fields X,Y on M,.

28 Nov 2018: The rotation r moves the vertices as follows. 1 7 12 7 43 7 24 7 3. ... Always say what you mean by the cross-ratio! 24 Chapter 1 Groups and homomorphisms.

16 Nov 2018: Moregenerally, b nZ is the set of integers x such that x b is a multiple of n.24.

5 Nov 2018: 1) = 1. There must be a 24-path from x2 to x4 or we can make some colour swap and colour v. ... 1) = 1. There must be a 23-path from x2 to x3 and a 24-path from x2 to x4 or we can make some colour swap and.

16 Jul 2018: 24. j i such that Aj Ai is the zero map (and similarly for a direct limit of finite.

2 Jul 2018: 24, 2018, 2791-2830.

4 Apr 2018: Thus |Sym(X)| = 6 4 = 24. This calculation enables us to prove that Sym(X) ' S4: if we label thevertices by the numbers 1, 2, 3, 4 then the action of ... faithful actions of all quotients of G. 24 SIMON WADSLEY. Example.

4 Apr 2018: The diagram (24) in this case looks as follows (where we usethat c1 = c):. ... In this situation A is braided. Proof. The commutativity of (24) is equivalent to the commutativity of.

23 Feb 2018: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4.