- #1
rayven1lk
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Hi everyone,
I recently began a grad program and we have started taking a course in stochastic methods. However I can't figure out the answer to a question posed by the professor which is:
http://i.imgur.com/dkdEDMo.jpg
http://imgur.com/dkdEDMo [Broken]
He proved this by contradiction. It started off by illustrating some type of a matrix that "exhausted" all possibilities of the sequences, then taking a diagonal line through the matrix and inverting each entry. So for example, each H (head) would becomes a T (tail) and vice versa. So this creates a new sequence which does not belong in the list and therefore makes it uncountable.
My problem is not being able to see how inverting the entries in the diagonal creates a sequence which is not in the list of sequences. I would really appreciate someone's help in this matter.
Thanks
I recently began a grad program and we have started taking a course in stochastic methods. However I can't figure out the answer to a question posed by the professor which is:
http://i.imgur.com/dkdEDMo.jpg
http://imgur.com/dkdEDMo [Broken]
He proved this by contradiction. It started off by illustrating some type of a matrix that "exhausted" all possibilities of the sequences, then taking a diagonal line through the matrix and inverting each entry. So for example, each H (head) would becomes a T (tail) and vice versa. So this creates a new sequence which does not belong in the list and therefore makes it uncountable.
My problem is not being able to see how inverting the entries in the diagonal creates a sequence which is not in the list of sequences. I would really appreciate someone's help in this matter.
Thanks
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