
computing kth digit of a real number independently of the previous ones
Posted:
Jun 21, 2012 5:29 PM


Q: Is it possible to prove the existence of a real number with the property that in order to compute its kth digit, we must compute all the previous ones?
For example, the kth digit of PI can be directly computed without going sequentially through the first k1. I was wondering what is the general case for algebraic numbers  can their kth digit be computed ignoring the previous ones? Are there any proves that such a real number exists, or on the contrary  that there can't be such a number? How about other transcendental numbers?
Any pointers?
Thanks,

