'Odd permutations' presentation slideshows

Ch. 6: Permutations!

Ch. 6: Permutations!. Q: In how many orders can you arrange these 3 letters? A , B , C. Q: In how many orders can you arrange these 3 letters? A , B , C. D A B C D A C B D B A C D B C A D C A B D C B A. A: There are 6 permutations of these letters:.

667 views • 49 slides

277 views • 12 slides

Einstein summation convention

Einstein summation convention. The convention was introduced by Einstein in 1916, who later jested to a friend, "I have made a great discovery in mathematics; I have suppressed the summation sign every time that the summation must be made over an index which occurs twice...".

392 views • 8 slides

Even and Odd Permutations (10/2)

Even and Odd Permutations (10/2). Theorem. Every cycle, and hence every permutation, can be written as product of (usually non-disjoint) 2-cycles. Example. (1 2 3 4 5) = (1 5)(1 4)(1 3)(1 2).

643 views • 4 slides