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- Newsgroups: fj.sci.math
- Path: sparky!uunet!ccut!news.u-tokyo.ac.jp!yayoi!pi!kanada
- From: kanada@pi.cc.u-tokyo.ac.jp (Yasumasa KANADA)
- Subject: Randomness of pi
- X-Nntp-Posting-Host: 192.41.196.19
- Message-ID: <C1B3wE.IoF@pi.cc.u-tokyo.ac.jp>
- Sender: news@pi.cc.u-tokyo.ac.jp
- Organization: Computer Centre, University of Tokyo
- X-Useragent: NewsAgent v1.43
- Distribution: fj
- Date: Sat, 23 Jan 1993 12:26:36 GMT
- Lines: 46
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- $B0JA01_<~N((J10$B2/7e(J(10$B?J?tI=<($G(J)$B$K4X$9$k!"(J0$B$+$i(J9$B$^$G$N?t;z$NJ,I[I=$N%j%/%(%9%H$,(J
- $B$"$j$^$7$?$,!"K\F|%[%9%H%^%7%s$+$i7WB,7k2L$r%@%&%s%m!<%I$7$^$7$?$N$G$=$N7k2L(J
- $B$rN.$7$^$9!#(J($B0J2<$NI=$O1_<~N(>.?tE@0J2<$N?t$K$D$$$F$NI=$G$9!#(JCHI-SQ$B$O%+%$<+>h(J
- $B$NCM$G$9!#(J)
-
- *** FREQUENCY SUMMARY ***
- DIGIT 0 1 2 3 4 5 6 7 8 9|CHI-SQ.
- ----------------------------------------------------------------------------------------------------------------------------------
- TO 100D 8 8 12 11 10 8 9 8 12 14| 4.20
- TO 200D 19 20 24 19 22 20 16 12 25 23| 6.80
- TO 500D 45 59 54 50 53 50 48 36 53 52| 6.88
- TO 1000D 93 116 103 102 93 97 94 95 101 106| 4.74
- TO 2000D 182 212 207 188 195 205 200 197 202 212| 4.34
- TO 5000D 466 532 496 459 508 525 513 488 492 521| 10.77
- TO 10000D 968 1026 1021 974 1012 1046 1021 970 948 1014| 9.32
- TO 20000D 1954 1997 1986 1986 2043 2082 2017 1953 1962 2020| 7.72
- TO 50000D 5033 5055 4867 4947 5011 5052 5018 4977 5030 5010| 5.86
- TO 100000D 9999 10137 9908 10025 9971 10026 10029 10025 9978 9902| 4.09
- TO 200000D 20104 20063 19892 20010 19874 20199 19898 20163 19956 19841| 7.31
- TO 500000D 49915 49984 49753 50000 50357 50235 49824 50230 49911 49791| 7.73
- TO 1000000D 99959 99758 100026 100229 100230 100359 99548 99800 99985 100106| 5.51
- TO 2000000D 199792 199535 200077 200141 200083 200521 199403 200310 199447 200691| 9.00
- TO 4000000D 399419 399463 399822 399913 400792 400032 399032 400650 400183 400694| 7.92
- TO 5000000D 499620 499898 499508 499933 500544 500025 498758 500880 499880 500954| 7.88
- TO 8000000D 799111 800110 799788 800234 800202 800154 798885 800560 800638 800318| 3.79
- TO 10000000D 999440 999333 1000306 999964 1001093 1000466 999337 1000207 999814 1000040| 2.78
- TO 15000000D 1500081 1499675 1501044 1499917 1501166 1500417 1498447 1499584 1500435 1499234| 4.07
- TO 20000000D 2001162 1999832 2001409 1999343 2001106 2000125 1999269 1998404 1999720 1999630| 4.17
- TO 25000000D 2500496 2499915 2500707 2499313 2502826 2500139 2499603 2498290 2499189 2499522| 5.28
- TO 30000000D 2999157 3000554 3000969 2999222 3002593 2999997 2999548 2998175 2999592 3000193| 4.34
- TO 50000000D 4999632 5002220 5000573 4998630 5004009 4999797 4998017 4998895 4998494 4999733| 6.17
- TO 80000000D 7998807 8002788 8001828 7997656 8003525 7996500 7998165 7999389 8000308 8001034| 5.95
- TO 100000000D 9999922 10002475 10001092 9998442 10003863 9993478 9999417 9999610 10002180 9999521| 7.27
- TO 150000000D 14998689 15001880 15001586 14999130 15003829 14993562 14998434 14999462 15001416 15002012| 4.90
- TO 200000000D 19997437 20003774 20002185 20001410 19999846 19993031 19999161 20000287 20002307 20000562| 4.13
- TO 300000000D 29998356 30000582 30006337 29999867 29999810 29993099 29998913 29999071 30003683 30000282| 3.55
- TO 400000000D 39996048 39997375 40011791 39995030 40001014 39992123 40001899 40000314 40005735 39998671| 7.19
- TO 500000000D 49995279 50000437 50011436 49992409 50005121 49990678 49998820 50000320 50006632 49998868| 7.42
- TO 800000000D 79991897 79997003 80003316 79989651 80016073 79996120 80004148 79995109 80002933 80003750| 6.62
- TO 1000000000D 99993942 99997334 100002410 99986911 100011958 99998885 100010387 99996061 100001839 100000273| 4.92
-
- $B0J>e$G$9!#(J
- $B6bED!!9/@5!wElBgBg7?7W;;5!%;%s%?!<(J
-
- $B<B$O$:!<$C$H0JA0$K>e5-%F%-%9%H$r:n@.$7$F$$$?$N$G$9$,!"5-;v$r%]%9%H$9$k%=%U%H(J
- $B$KITD4$,$"$j!"%]%9%H$,K\F|$K$J$C$F$7$^$$$^$7$?!#?=$7LuM-$j$^$;$s!#(J
-