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     Date: 12-22-93    Time: 07:39p
     From: AB TSAI
  Subject: »¡»¡¤£¥i»¡

¡i»¡»¡¤£¥i»¡¡j(1)

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  ¦pªG¥¦¬O«ü¤£¥i¥H»¡¥X¨Óªº¸Ü¡A¨º»ò¥þ³¡ªº¦ò¸g´N¬O¤@³¡¡u¤j¦k»y¦Ê¬ì¡v¤F¡C
 
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   ¤@¤Áªº¤£¦X²z¤§³B³£·í§@¡u¤£¥i»¡¡v¨Ó³B²z¡C
 
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    ....
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¡@»¡..¡v¦b²Ä¥|¤Q¤­¨÷¤¤¡A¥@´L¤@¤f®ð»¡¤F±Nªñ¥|¦Ê­Ó¤£¥i»¡¡C
 
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¡@»¡¤£¥i»¡¤@¤Á½Ñ¦ò¡A¤Î¤jµÐÂļ¯¶FÂÄ¡A¬Ò¨Ó¶°·|¡AÆg¹ÄÄÀ­{¦È¥§¦ò¡D¡D¡v
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  ¸Ü¤j¥þ¡v¤F¡C
 
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¡@¬O¡u¤£¯à»¡¥X¨Ó¡vªº¡A¤£¦ý¥L¦Ñ¤H®a¦Û¤v»¡¡A§ó¹ªÀy©Ò¦³­×¦æµÐÂÄ­n¬°²³¡@
  ¥Í»¡©O¡C(°Ñ¨£¡m¯ë­Y¸g¡n)
 
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¡i»¡»¡¤£¥i»¡¡j(2)

 From: abstsai@ms1.hinet.net
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  ¸Ñ»¡¤F¦ò©Ò¨Ï¥Îªº­p¶q³æ¦ì¡C¸g¤W»¡¡G¡uº¸®É¡A¤ß¤ýµÐÂÄ¥Õ
¡@¦ò¨¥¡G¡y¥@´L¡A½Ñ¦ò¦p¨Ó¡Aºt»¡¡BµL¶q¡BµLÃä¡BµLµ¥¡B¤£¥i
¡@¼Æ¡B¤£¥iºÙ¡B¤£¥i«ä¡B¤£¥i¶q¡B¤£¥i»¡¡B¤£¥i»¡¤£¥i»¡¡C¡z
  ¡y¥@´L¡A¤ª¦óªü¹¬¬é¤D¦Ü¤£¥i»¡¤£¥i»¡­C¡H¡z
 
      ¤ß¤ýµÐÂÄ°Ý¥@´L¡A±z±`»¡½Ñ¦ò¦p¨Óªº¼Æ¥Ø¡A©Ò¥Îªº¦UºØ
  ³æ¦ì¦p¡uªü¹¬¬é¡Bºt»¡¡v..¤@ª½¨ì¡u¤£¥i»¡¤£¥i»¡¡v­Ë©³¬O
  ¤°»ò·N«ä¡H
 
      ¥@´L¦^µª¡uµ½¨k¤l¡A¤@¦Ê¬¥¤e¬°¤@­Ñ­O¡A­Ñ­O­Ñ­O¬°¤@
  ªü±h¦h¡Aªü±h¦hªü±h¦h¬°¤@¨º¥Ñ¥L..¡v±q³o¸Ì¶}©l¡A¥@´L«K
  ¸Ô²Óªº»¡©ú¤F¦ò©Ò¥Îªº­p¶q³æ¦ì¡C
 
      ¤@­Ó¬¥¤e¬O¤Q¸U¡A¤]´N¬O 10^5   (10ªº 5¦¸¤è)¡C
 1. 1­Ñ ­O    =100¬¥¤e=100x100000=10000000=10^7¡C(1¤d¸U)
 2. 1ªü±h¦h  =­Ñ­Ox­Ñ­O = 10^14   =1ªº«á­±±µ 14­Ó 0¡C
 3. 1¨º¥Ñ¥L  =ªü±h¦hxªü±h¦h=10^28 =1ªº«á­±±µ 28­Ó 0¡C
 4. 1ÀW±Cù  =¨º¥Ñ¥Lx¨º¥Ñ¥L =10^56=1ªº«á­±±µ 56­Ó 0¡C
    ¦C¥X¨Ó´N¬O:
              1          2         3         4         5
    1000000000000000000000000000000000000000000000000000000000.
 5. 1¬áù½~  =ÀW±CùxÀW±Cù =10^112 (¦Û¤v±µ112­Ó 0§a)
 6. 1ªü¦÷ù  =¬áù½~x¬áù½~ =10^224
 7. 1³Ì³Ó    =ªü¦÷ùxªü¦÷ù =10^448 (¦p¦¹¤@¯Å¤@¯Åªº±À,
              ¤U¤@¯Å´N¬O:
 8   ¼¯Ã¹±C  = 10^896      =1ªº«á­±±µ 896 ­Ó 0
 9   ªü±Cù  = 10^1792     =1ªº«á­±±µ 1792­Ó 0
 10  ¦h±Cù  = 10^3584     =1ªº«á­±±µ 3584­Ó 0
 11  ¬É  ¤À  = 10^7168     =1ªº«á­±±µ 7168­Ó 0
 12  ´¶  ¼¯  = 10^14336
 13  ò¥  ¼¯  = 10^28672
 14  ªü±C¶x  = 10^57344
 15  À±¦÷±C  = 10^114688
 16  ¬sÄئ÷  = 10^229376
 17  ¬s¦÷±C  = 10^458752
 18  ¹¬½~ÅÞ¼¯= 10^917504
 19  ¬sÂÄù  = 10^1835008
 20  ¬sĺ±C  = 10^3670016  ¨«¨ì³o¸Ì¡A¶]¥X¤@¶ô¸ôµP¡A¤WÀY
     ¼gµÛ¡G¤£¥i»¡¡õ100¨½¡C ³o¸ÌÂ÷¤£¥i»¡ÁÙ¦³ 100¯Å©O, ªB
     ¤Í­Ì, «¥­Ì¥ý³Ü¤f¯ù¡A¦^ÀY¦A¨Ó¼Æ¼Æ¨àª±§a¡C
 



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      ¤W¦^§Ú­Ì¨«¨ì 20 ¨½³Bªº¬sĺ±C, ¥ð®§¤F¤@¤U, ¤µ¤Ñ¦AÄ~
  Äò¨«¤U¥h¡C
 
  20  ¬sĺ±C  = 10^3670016     = 1 ªº«á­±±µ 3670016 ­Ó 0¡C
  21  ¬s²±¦÷  = 10^7340032     = 1 "     "  7340032 ­Ó 0¡C
  22  ¬s¯Àªû  = 10^14680064      :
  23  ¬s±C¶F  = 10^29360128      :
  24  ¬sÁ¡©³  = 10^58720256      :
  25  ¬sÊ]¾á  = 10^117440512     :
  26  ºÙ  ¶q  = 10^234881024     :
  27  ¤@  «ù  = 10^469762048     :
  28  ²§  ¸ô  = 10^939524096     :
  29  ÄA  ­Ë  = 10^1879048192  = 1 ªº«á­±±µ 1879048192­Ó 0¡C
 
      ­ì¨Ó³o­Ó¤]¬O­p¶q³æ¦ì¡C¡m¤ß¸g¡n¤W»¡¡u»·Â÷ÄA­Ë¹Ú·Q¡v,
      ¥Î³o­Ó¨Ó¬Ý´N«Ü¦X²z, ¦pªG»¡²³¥Íªº·Qªk³£¬O¡uÄA­Ë¡vªº¸Ü,
      ´N»¡¤£¤Ó³q¤F, ¨Ò¦p¤@­Ó¤H«Ü¾j, ¥L·Q­n¦³¤@ÂI­¹ª«, ³o¤£¯à
      »¡¬OÄA­Ë¹Ú·Q; ¦ý¬O¦pªG¥Î©óªí¥Ü²³¥Íªº¹Ú·Q¤Ó¦h, «h¹ï¤F¡C
 
          ¤@­Ó¤H¤@¥Í¯à¦³¦h¤Ö¹Ú·Q? °²³]¤@­Ó¤H¤@¬í¤º¥i¥H¦³10­Ó
      ¹Ú·Q, ¤@¥Í¥i¬¡ 100¦~, ¨º»ò¨ä¼Æ¬O:
 
          100(¦~)x365(¤Ñ)x24(¤p®É)x60(¤À)x60(¬í)x10(­Ó)
 
      Á`¼Æ¬O =31,536,000,000­Ó¹Ú·Q¡C¦Aµ¹¦h¤@ÂI¤Æ¦¨¤Q¾
¼Æªº¸Ü
      ´N¬O   100,000,000,000­Ó¹Ú·Q, 1 ªº«á­±±µ 11 ­Ó 0. ³o­Ó
      ¼Æ¦r§O»¡¬O¡uÄA­Ë¡v, ´N³s¡uªü±h¦h¡vªºµ¥¯Å³£°÷¤£¤W¡C¤£¹L
      ²³¥Í½ü°j¤£¤w, ¦]¦¹²Ö¥[ªº¹Ú·Q¬O¦³¥i¯à¹F¨ìÄA­Ë¯Åªº¡C
 
          ­Ë©³­n¦h¤Ö¥@¤~¯à²Ö¿n¨ì¨º¼Ëªº¼Æ¶q¹Ú©O? §Ú­Ì¥i¥Hºâºâ
      ¬Ý: ÄA­Ë°£¥H¤@¥Í = ÄA­Ë / ¤@¥Í
                       = log 1879048192 - log 11
                       = log 1879048181
 
              ¤]´N¬O»¡­n¦³ 1  «á­±±µ 1879048181 ­Ó 0 ªº¤@¥Í,
      ¤~¯à²Ö¿n¨ì¨º­Ó¹Ú·Q¼Æ¶q¡C¸Óª`·N¨ì, ¤W­±ªº¤@¥Í¬O­ì¨Ó¤@¥Í
      ¬O 100·³ªº 3­¿¦h, ¤]´N¬O³]©w¤H¦³ 300·³®É¤~¡u¥u¡v»Ý­n¨º
      ´X¥@´N¥i¹F¨ì¡uÄA­Ë¡vªº¹Ú·Q¼Æªº¡C
 
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      ¤W¦¸§Ú­Ì¬O¦b¡uÄA­Ë¡v³B¥ð®§ªº¡C³o·|¨à«¥­Ì¦A¥Ñ 30
  ¨½³Bªº¡u¤T¥½¨º¡v¶}©l©¹¤U¨«¬Ý¬Ý¡C
 
  29  ÄA  ­Ë  = 10^1879048192  = 1 ªº«á­±±µ 1879048192­Ó 0¡C
  30  ¤T¥½¨º  =ÄA­Ë x ÄA­Ë = 10^3758096384
  31  ¬s¸@ù  = 10^7516192768
  32  ®O±Cù  = 10^15032385536
  33  ¦ó  ¹î  = 10^30064771072
  34  ©P  ¼s  = 10^60129542144
  35  °ª  ¥X  = 10^120259084288
  36  ³Ì  §®  = 10^240518168576
  37  ªd±Cù  = 10^481036337152
  38  ¶F¨½±C  = 10^962072674304
  39  ¤@  ¾±  = 10^1924145348608
  40  ¶F²z»Z  = 10^3848290697216
  41  ¶F²z¤T  = 10^7696581394432
  42  ®O¾|¦÷  = 10^15393162788864
  43  ¹Fù¨Bªû= 10^30786325577728
 
  44  ¶F¾|¨º  = 10^61572651155456
  45  ¼¯¾|ªû  = 10^123145302310912
  46  Äb¼}ªû  = 10^246290604621824 =¼Æ¦r¤w¶i¤J¤Ñ¤å¼Æ¦r¤F, §Ú­Ì
                                    ¥²»Ý­n§ï¥Î¥t¥~ªºªí¥Üªk¡C
              = 10^(2.4^14)        = 1ªº«á­±±µ¤W(2.4x10ªº14¦¸¤è)
                                    ­Ó 0¡C³o­Ó¨Æ¹ê¤W¤wµLªk·Q¹³¦³
                                    ¦h¤j¤F, ¦óªp§Ú­ÌÁ٬ٲ¤¤F629..
                                    ¤§«áªº¼Æ¦r¡C
  47  êbùªû  = 10^(4.9^14)
  48  ¼¯¾|¼¯  = 10^(9.8^14)
  49  ½Õ  ¥ñ  = 10^(1.9^15)
  50  Â÷婺C  = 10^(3.9^15)
  51  ¤£  °Ê  = 10^(7.8^15)
  52  ·¥  ¶q  = 10^(1.5^16)
  53  ªü¼¯©Íù= 10^(3.1^16)
  54  «k¼¯©Íù= 10^(6.3^16)
  55  ¦÷¼¯©Íù= 10^(1.2^17)
  56  ¨º¼¯©Íù= 10^(2.5^17)
  57  ®O¼¯©Íù= 10^(5.0^17)
  58  ï@¼¯©Íù= 10^(1.0^18)
  59²Úù¼¯©Íù= 10^(2.0^18)
  60¤r±C¼¯©Íù= 10^(4.0^18)
  61  Ák  ù  = 10^(8.0^18)
  62  Á§  ù  = 10^(1.6^19)
  63  ¿Í  ù  = 10^(3.2^19)
  64  ÔU  ù  = 10^(6.4^19)
  65  ßB  ù  = 10^(1.3^20)
  66  ªd  ù  = 10^(2.6^20)
  67  ­p  ù  = 10^(5.2^20)
  68  ²Ó  ù  = 10^(1.0^21) ¨ì¥Ø«e¬°¤î, ³o¨Ç³£¤£¬O±`¥Î³æ¦ì,
  69  ¸D  ù  = 10^(2.0^21) ¦ò¸g¤W±`½Íªº³\¦h­p¶q³æ¦ìÁÙ¥¼¥X
  70  Á¼  ù  = 10^(4.0^21) ²{¡C
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¡i»¡»¡¤£¥i»¡¡j(5)

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  71  ®Pù²þ  = 10^(8.2^21)
  72  Á¼¾|ªû  = 10^(1.6^22)
  73  «´¾|ªû  = 10^(3.3^22)
  74  ¼¯¸@ù  = 10^(6.6^22)
  75  ®P¥Àù  = 10^(1.3^23)
  76  ªü³¥®P  = 10^(2.6^23)
  77  ­{»òù  = 10^(5.2^23)
  78  ¼¯¦÷±C  = 10^(1.1^24)
  79  ªü©Íù  = 10^(2.1^24)
  80  ñQ¾|­C  = 10^(4.2^24)
  81  Á§¾|±C  = 10^(8.4^24)
  82  ½~ùªi  = 10^(1.7^25)
  83  ¶F±C±C  = 10^(3.3^25)
  84  ¬s±Cù  = 10^(6.7^25)
  85  ¨º±Cù  = 10^(1.3^26)
  86  ¼¯Ã¹¼¯  = 10^(2.7^26)
  87  ®P±Cù  = 10^(5.4^26) ³o¤@¤j¦êªº¦Wµü, §Ú¥J²ÓªºÁ@¸F,
  88  °gù´¶  = 10^(1.0^27) ¥i´N¨S¦³ªü¤Ç±C¡C¨ä¤¤¦³¶F±C±C,
  89  ªÌ»òù  = 10^(2.1^27) ¦ý¤]¨S¦³¶§±C±C¡C
  90  ¹¤¼¯Ã¹  = 10^(4.2^27) ¶¢¸Ü¤Öªí, ¦A©¹¤U¬Ý¬Ý§a¡C
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¡i»¡»¡¤£¥i»¡¡j(6)

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  91  ²Úù»ò  = 10^(8.6^27)
  92  ¬s¦÷¼¯  = 10^(1.7^28
  93¯Qªi¶[¦h  = 10^(3.4^28
  94  ºt  »¡  = 10^(6.9^28)
 
      ²×©ó¡y¡mµØÄY¸g¡n¡iªü¹¬¬é«~¡j²Ä¤T¤Q¡G¡uº¸®É¡A¤ß¤ýµÐÂÄ¥Õ
¡@¦ò¨¥¡G¡y¥@´L¡A½Ñ¦ò¦p¨Ó¡Aºt»¡¡BµL¶q¡BµLÃä¡BµLµ¥¡B¤£¥i¼Æ¡B¤£
  ¥iºÙ¡B¤£¥i«ä¡B¤£¥i¶q¡B¤£¥i»¡¡B¤£¥i»¡¤£¥i»¡¡C¡z¡y¥@´L¡A¤ª¦ó
  ªü¹¬¬é¤D¦Ü¤£¥i»¡¤£¥i»¡­C¡H¡z
 
      ¨ä¤¤ªº¡uºt»¡¡v³o®É¦³¤F©ú½Tªº·N¸q¤F¡A½Ñ¦ò¦p¨Óªº¼Æ¶q¥Ñ³o
  ­Ó³æ¦ì°_ºâ¡A¤@ª½¨ì¤£¥i»¡¤£¥i»¡ªº³æ¦ì³£¦³¡C
 
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  ¦UÃþªº¦ò¨ä¼Æ¶q¤]¦U¤£¬Û¦P¡A¦]¦¹¥@´L(§Ú­Ì¥Î¡u¥@´L¡v±M«üÄÀ­{
  ¦È¥§) §i¶D¥@¤Hªº³o¨Ç­p¶q³æ¦ì, ¨Ã¤£¬O½Máî¥X¨Óªº¡C­n§Ú­Ì²{¥N
  ¤H¨Óáî, ¥i¯à´N·|»¡¡G¦t©z¤¤ªº¦ò¦³ n+1  ­Ó¡C
 
      ¦ò(µÐÂÄ¥ç¦P)¦p¦ó·|¬O¡u¯à¶¥¡v©O? ³o¤£¦b§Ú­Ì³o¤@ÃD¤¤, ¦³
  ¦]ªû²Ö´µ¤BªºªB¤Í¥t¥~¦A¨Ó°Q½×¦n¤F¡C¤U­±±µµÛ¼Æ§Ú­Ìªº¼Æ:
 
  95  µL  ºÉ  = 10^(1.3^29)  ¬Ý¨Ó¡uµLºÉªº·R¡v¤]¦³§¹³Jªº®É­Ô,
                             ½u¤W¤p¥ë¤l­Ì¦V¤kªB¤ÍÄé°g´ö®É¸Ó
                             ¦Ò¼{´«¤@­Óµü¨à¤F¡C
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  96  ¥X  ¥Í  = 10^(2.7^29) ¤]§@¡u¥Í¡v¡u¤@¥Í¡v
  97  µL  §Ú  = 10^(5.5^29)
  98  ªü¯`¦h  = 10^(1.1^30)
  99  «C½¬µØ  = 10^(2.2^30)
 100  ²ÚÀY¼¯  = 10^(4.4^30)
 
      ³o¸Ì§Ú­Ì±`¨£¨ì³æ¦ì¦Wµü¬O¡u¥X¥Í¡v¡C­È±o´£¥X¨Ó¥æ´«¤@¤U·N¨£¡C
 
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      ªÌªº²ßºD¦³Ãö ), ¦]¬°³o­Ó©M¤¤°ê¤H»¡ªº¡u²£¥Í¡v©Î«ü¡u¤Hªº¤@
      ¥Í¡v¤Ó®e©ö·d²V¤F¡A±`±`Á¿µÛÁ¿µÛ´N¤£ª¾¹D»¡ªº¬O«ü¡u²£¥Í¡v©Î
      ¬O«ü¡u¼Æ¶q¡v,¤j¥ë«K¹³°ª¤jµP©Ò°Ûªººqµü©Ò»¡ªº¤@¼Ë,¡u­J·d½M
      ·d¡B­J·d½M·d¡vªº¨Ó·d¤@³q¡C
 
          ¦p¡mªüîöªû¸g¡n¡uªÙ§Q¥±, ·¥¼Ö°ê¤g, ²³¥Í¥ÍªÌ¬Ò¬Oªüï@¶[
      ­P, ¨ä¤¤¦h¦³¤@¥Í¸É³B, ¨ä¼Æ¬Æ¦h, «D¬Oºâ¼Æ©Ò¯àª¾¤§, ¦ý¥i¥H
      µL¶q¡BµLÃä¡Bªü¹¬¬é»¡¡v
 
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      ¦ò©M·fµØ¯è»Ý­nµn¾÷µP¨à¤@¼Ë, ¥²»Ý¥ý¨Ó­Óµn°O­Ô¸É¤@½¡C¤]¦³
      §â¥¦¸Ñ¬°¡u¤@ªÌ¤@¹ê¤],¥ÍªÌµL¶q¤T¬Nªù¤],¤D¨¥ªì¦aµÐÂĥѦ¹¤@
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          ³oºØ¸Ñªk¦n¹³¬O»¡¡u¼öªÌ, °ª·Å¤], ª¯ªÌ, ®a¯b¤], ¼öª¯ªÌ,
      °ª·Å¤§®a¯b¤]¡v( «x? ¦n¹³¦b¨º¨à¨£¹L) ¬Û«H½u¤WªB¤Í¤¤, ¤Z¬O
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      ­ì¤å´N«Ü®e©ö¤F¸Ñ¤F¡C
 
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      ¹L¥h­C? ¥¼¨Ó­C? ²{¦b­C?...¡v
 
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 ---------------------------------------------------------

 101  ¹¬  ¬é  = 10^(8.8^30)
 102    ½ì    = 10^(1.7^31)
 103    ¦Ü    = 10^(3.5^31)  ¤]ºÙ§@¡u³ë¡v   (°Ñ¨£µØÄY¸g)
 104  ªü¹¬¬é  = 10^(7.1^31)  ¤]ºÙ§@¡uµL¼Æ¡v
 105  ªü¹¬¬éÂà= 10^(1.4^32)  "   " ¡uµL¼ÆÂà¡v¡u¤jªü¹¬¬é¡v
 106  µL  ¶q  = 10^(2.8^32)
 107  µL¶qÂà  = 10^(5.6^32)
 108  µL  Ãä  = 10^(1.1^33)
 109  µLÃäÂà  = 10^(2.3^33)
 110  µL  µ¥  = 10^(4.5^33)
 111  µLµ¥Âà  = 10^(9.0^33)
 112  ¤£¥i¼Æ  = 10^(1.8^34)
 113  ¤£¥i¼ÆÂà= 10^(3.6^34)
 114  ¤£¥iºÙ  = 10^(7.2^34)
 115  ¤£¥iºÙÂà= 10^(1.4^35)
 116  ¤£¥i«ä  = 10^(2.9^35)
 117  ¤£¥i«äÂà= 10^(5.8^35)  "    "¡u¤£¥iij¡v
 118  ¤£¥i¶q  = 10^(1.1^36)
 119  ¤£¥i¶qÂà= 10^(2.2^36)
 120  ¤£¥i»¡  = 10 ªº[ 46522979840000...(¤@¦@±µ 36­Ó 0 )] ¦¸¤è¡C
 
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 121  ¤£¥i»¡Âà       = 10^(9.3^36)
 122  ¤£¥i»¡¤£¥i»¡   = 10^(1.8^37)
 123  ¤£¥i»¡¤£¥i»¡Âà = 10^(3.721838387^37)
 
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                                     -- AB Tsai --
/End of line
 
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