Vedansi has her birthday bash on 31/08, a piece of Black Forest Cake.
She chooses a positive number and cut the piece into two, in the ratio 1 : p.
She can then choose any piece and cut it in the same way. Is it possible for her
to obtain, after a finite number of cuts, two piles of pieces each containing half
the original amount of cheese, if
(A) p is an irrational;
(B) p is a rational, not equals to 1
She chooses a positive number and cut the piece into two, in the ratio 1 : p.
She can then choose any piece and cut it in the same way. Is it possible for her
to obtain, after a finite number of cuts, two piles of pieces each containing half
the original amount of cheese, if
(A) p is an irrational;
(B) p is a rational, not equals to 1
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