Warning: new definition for norm Warning: new definition for trace Version of July 9, 1997 written by Doron Zeilberger(zeilberg@math.temple.edu). HORTON: A Maple package accompanying the paper "Proof of Conway's "Lost" Cosmological Theorem" by Shalosh B. Ekhad and Doron Zeilberger. (ERA-AMS, v.3) It proves the Cosmological Theorem and also investigates John HORTON Conway's brilliant analysis of his brilliant Audioacive decay, as it is explained in his paper "The weird and wonderful chemistry of audioactive decay" that appeared in "Open problems in communication and computation", edited by Thomas M. Cover and B. Gopinath, Springer, 1987. The most current version of the program is available from http://www.math.temple.edu/~zeilberg For a list of the procedures type ezra(), for help with a specific procedure, type ezra(procedure_name) The number of female segments of length 0 that may be factors of an atom in the decomposition of an 8 -day-old string is: 1 The largest longevity, so far, is 0 The number of female segments of length 2 that may be factors of an atom in the decomposition of an 8 -day-old string is: 9 The largest longevity, so far, is 19 The number of female segments of length 4 that may be factors of an atom in the decomposition of an 8 -day-old string is: 38 The largest longevity, so far, is 19 The number of female segments of length 6 that may be factors of an atom in the decomposition of an 8 -day-old string is: 118 The largest longevity, so far, is 20 The number of female segments of length 8 that may be factors of an atom in the decomposition of an 8 -day-old string is: 284 The largest longevity, so far, is 20 The number of female segments of length 10 that may be factors of an atom in the decomposition of an 8 -day-old string is: 548 The largest longevity, so far, is 20 The number of female segments of length 12 that may be factors of an atom in the decomposition of an 8 -day-old string is: 996 The largest longevity, so far, is 20 The number of female segments of length 14 that may be factors of an atom in the decomposition of an 8 -day-old string is: 1601 The largest longevity, so far, is 20 The number of female segments of length 16 that may be factors of an atom in the decomposition of an 8 -day-old string is: 2383 The largest longevity, so far, is 20 The number of female segments of length 18 that may be factors of an atom in the decomposition of an 8 -day-old string is: 3287 The largest longevity, so far, is 20 The number of female segments of length 20 that may be factors of an atom in the decomposition of an 8 -day-old string is: 4198 The largest longevity, so far, is 20 The number of female segments of length 22 that may be factors of an atom in the decomposition of an 8 -day-old string is: 4976 The largest longevity, so far, is 20 The number of female segments of length 24 that may be factors of an atom in the decomposition of an 8 -day-old string is: 5626 The largest longevity, so far, is 20 The number of female segments of length 26 that may be factors of an atom in the decomposition of an 8 -day-old string is: 6252 The largest longevity, so far, is 20 The number of female segments of length 28 that may be factors of an atom in the decomposition of an 8 -day-old string is: 6965 The largest longevity, so far, is 20 The number of female segments of length 30 that may be factors of an atom in the decomposition of an 8 -day-old string is: 7690 The largest longevity, so far, is 20 The number of female segments of length 32 that may be factors of an atom in the decomposition of an 8 -day-old string is: 8372 The largest longevity, so far, is 20 The number of female segments of length 34 that may be factors of an atom in the decomposition of an 8 -day-old string is: 9045 The largest longevity, so far, is 20 The number of female segments of length 36 that may be factors of an atom in the decomposition of an 8 -day-old string is: 9624 The largest longevity, so far, is 20 The number of female segments of length 38 that may be factors of an atom in the decomposition of an 8 -day-old string is: 10111 The largest longevity, so far, is 20 The number of female segments of length 40 that may be factors of an atom in the decomposition of an 8 -day-old string is: 10353 The largest longevity, so far, is 20 The number of female segments of length 42 that may be factors of an atom in the decomposition of an 8 -day-old string is: 10479 The largest longevity, so far, is 20 The number of female segments of length 44 that may be factors of an atom in the decomposition of an 8 -day-old string is: 10510 The largest longevity, so far, is 20 The number of female segments of length 46 that may be factors of an atom in the decomposition of an 8 -day-old string is: 10409 The largest longevity, so far, is 20 The number of female segments of length 48 that may be factors of an atom in the decomposition of an 8 -day-old string is: 10262 The largest longevity, so far, is 20 The number of female segments of length 50 that may be factors of an atom in the decomposition of an 8 -day-old string is: 9921 The largest longevity, so far, is 20 The number of female segments of length 52 that may be factors of an atom in the decomposition of an 8 -day-old string is: 9288 The largest longevity, so far, is 20 The number of female segments of length 54 that may be factors of an atom in the decomposition of an 8 -day-old string is: 8338 The largest longevity, so far, is 20 The number of female segments of length 56 that may be factors of an atom in the decomposition of an 8 -day-old string is: 7149 The largest longevity, so far, is 20 The number of female segments of length 58 that may be factors of an atom in the decomposition of an 8 -day-old string is: 5859 The largest longevity, so far, is 20 The number of female segments of length 60 that may be factors of an atom in the decomposition of an 8 -day-old string is: 4635 The largest longevity, so far, is 20 The number of female segments of length 62 that may be factors of an atom in the decomposition of an 8 -day-old string is: 3570 The largest longevity, so far, is 20 The number of female segments of length 64 that may be factors of an atom in the decomposition of an 8 -day-old string is: 2687 The largest longevity, so far, is 20 The number of female segments of length 66 that may be factors of an atom in the decomposition of an 8 -day-old string is: 1952 The largest longevity, so far, is 20 The number of female segments of length 68 that may be factors of an atom in the decomposition of an 8 -day-old string is: 1352 The largest longevity, so far, is 20 The number of female segments of length 70 that may be factors of an atom in the decomposition of an 8 -day-old string is: 878 The largest longevity, so far, is 20 The number of female segments of length 72 that may be factors of an atom in the decomposition of an 8 -day-old string is: 514 The largest longevity, so far, is 20 The number of female segments of length 74 that may be factors of an atom in the decomposition of an 8 -day-old string is: 272 The largest longevity, so far, is 20 The number of female segments of length 76 that may be factors of an atom in the decomposition of an 8 -day-old string is: 117 The largest longevity, so far, is 20 The number of female segments of length 78 that may be factors of an atom in the decomposition of an 8 -day-old string is: 28 The largest longevity, so far, is 20 40, [1, 9, 38, 118, 284, 548, 996, 1601, 2383, 3287, 4198, 4976, 5626, 6252, 6965, 7690, 8372, 9045, 9624, 10111, 10353, 10479, 10510, 10409, 10262, 9921, 9288, 8338, 7149, 5859, 4635, 3570, 2687, 1952, 1352, 878, 514, 272, 117, 28]