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Dear Cypher Punks,
I BEG YOU TO HELP ME!!!
Is it possible to prove that number 0.1234567891011121314151617181920... iz irrational?
Most definately. All you need to do is prove that the set of this number is uncountable, ergo is irrational. If you have friend who have done math in real analysis they can explain more.
Or may be it is rational?
Also, another question for math geniuses here:
Is it REALLY true that there are real numbers that cannot be generated by any algorithm? Some guy said that since the set of algorithms is countable, but the set of real numbers is more than countable, there must be some numbers for which there is no algorithms that generate them.
If you show me an algorythm that calculates the real number TT (=3.14.....) I'll give you a Nobel Prize personally!
But I still do not believe him.
Also, is it true that the sequence of digits in e is random because the ONLY
way to get to the
p'th digit is to calculate the p-1'st digits?
Exactly! This is called recursive definition. To get the p-th set in the sequence you need to find p-1 first...
Also, is it the correct definition of a real number:
``A real number is the class of numbers which can represent the length of an arbitrary line.''
Well, that is not entirely true... The length of any arbitrary line can be any number, rational, natural, etc. Real numbers are the numbers that defy all other categorization (they are not rational, irrational, natural, etc.) They are complex and despite any instinctual perception, there are a lot of them! I don't know if these maed a lot of sense but all of these questions are answered in a good Elementary Real Analysis book.
I AM REAL DESPERATE FOR YOUR ASS ISTANCE.
Sincerely, Gabe -----BEGIN PGP SIGNATURE----- Version: 4.5 iQEVAgUBMuJmYqr5aWnB1HshAQH2bwf+O/C0vRosJAclWr9OhYufFtSYnGohHjnA hwbcb6wftvrRES4HyMu9GfCYZanZ37TI4erblofctiJh7RVgFmvJxK0VDbaSth8J Ns0u/c86dw6qSeE8XG+1LBQ9hH8eXJ4Mojnohea4L9IesjfqugZwh6+g/1BXngco wpOnhixj9Xxoh8Bu/N01rNtaCOcDQPziCYWg3iKTIJ0ySP0zZBPoamVq7OYAhXzY +sn5lABFZ81/VQf0Y/7drWnZhBDpJXq7xtbo4NZGkDbQ6ifNaH9AlF9+9vLJn6AS osG5SsS2TmeJLmpi3BxC0k1cNHGHI7+DGazRVMrtCZFFMeeh5RtRgQ== =ZAZJ -----END PGP SIGNATURE----- --------------------------------------------------- | Gabor K. Tozser | 1500 St. Olaf Ave. | | St. Olaf College | Northfield, MN 55057 | ---------------------------------------------------