G. 俱计籔だ计衡计

俱计计Ю狠 x计俱计盽计虫娩 x: 莱ノ俱计眔俱计ㄒㄢ秖 1234x 56x (or 1234 56x)  x: 1234 56. 摸 膀セ虫璝块俱计ま计玥玻ネ俱计挡狦 Τㄇㄧ计 f パ俱计ま计眔疊翴 (獶弘絋)挡狦ㄤ挡狦獶俱计ぃ筁 <.@f 籔 >.@f ㄏノ俱计ま计玻ネ俱计挡狦 ㄏノ蔼弘非俱计ゑ耕眔挡狦琌弘絋 ㄒ:

   !40
8.15915e47

   !40x
815915283247897734345611269596115894272000000000

   */ x: >: i.40
815915283247897734345611269596115894272000000000

   0j_25 ": ! 2000x * i. 5 1            计Α25计
  1.0000000000000000000000000e0    
  3.3162750924506332411753934e5735 
  1.8288019515140650133147432e12673
  2.6839997657267395961163166e20065
  5.1841810604808769398058198e27752

   ] r=: <.@%: 2 * 10 ^ 56x
14142135623730950488016887242

   ,. *: r + _1 0 1
199999999999999999999999999968972697904100132394908592081
199999999999999999999999999997256969151562033370942366564
200000000000000000000000000025541240399023934346976141049
だ计盽计だ籔だダぇ丁 r 跋筳珿 3r4 だ计だぇτ _12r5 i璽きだぇ だ计程虏だ计だダタ夹非Α纗籔陪ボ珿

   1r2 _1r2 2r4 2r_4 _2r_4 0r9 5 _5
1r2 _1r2 1r2 _1r2 1r2 0 5 _5
摸膀セ虫 ㄧ计眔 (弘絋)だ计挡狦璝ま计だ计獶だ计ㄧ计眔 (ぃ弘絋)疊翴┪狡计挡狦 讽莱ノだ计璝ㄧ计ΤΤだ计ま计 that produce rational results. (ㄒ璝 y 俱计キよ %:y だ计 ^0r1 疊翴) ㄢ俱计坝计俱计(埃荷)┪だ计(ぃ)ㄢだ计ゑ耕弘絋ゑ耕 惠璶俱计ま计ㄧ计┪笲衡じ ( { {. # $オま计)钡だ计ま计璝 y 俱计 ㄤ蛮娩ㄧ计 ( + - * % , = <) 锣传ま计Θ摸ㄌ沮
     |  B  I  X  Q  D  Z
  ---+------------------
  B  |  B  I  X  Q  D  Z     B - ガ狶
  I  |  I  I  X  Q  D  Z     I - 俱计
  X  |  X  X  X  Q  D  Z     X - 俱计
  Q  |  Q  Q  Q  Q  D  Z     Q - だ计
  D  |  D  D  D  D  D  Z     D - 疊翴
  Z  |  Z  Z  Z  Z  Z  Z     Z - 狡计
ㄒ, Α 2.5+1r2い1r2 砆 2.5ぇ玡砆锣传Θ 0.5程眔疊翴 3Α 2+1r2い2 砆 1r2ぇ玡砆锣传Θ 2r1程眔 5r2

睼だ计籔疊翴ゑ耕甧岿だ计ま计砆锣传Θ疊翴计

笆迭 x: (q.v.) 盢獶だ计ま计てΘだ计
   2%3
0.666667

   2%3x
2r3

   (+%)/\10$1                           疊翴Μ滥 golden mean
1 2 1.5 1.66667 1.6 1.625 1.61538 1.61905 1.61765 1.61818

   (+%)/\x: 10$1                        だ计セ
1 2 3r2 5r3 8r5 13r8 21r13 34r21 55r34 89r55

   |: 2 x: (+%)/\x: 10$1
1 2 3 5 8 13 21 34 55 89
1 1 2 3 5  8 13 21 34 55

   (+%)/ 100$1r1
573147844013817084101r354224848179261915075

   0j30 ": (+%)/100$1r1                 陪ボ 30 计
1.618033988749894848204586834366

   H=: % @: >: @: (+/~) @: i. @ x:      Ω nHilbert 痻皚

   ] h=: H 6
  1 1r2 1r3 1r4  1r5  1r6
1r2 1r3 1r4 1r5  1r6  1r7
1r3 1r4 1r5 1r6  1r7  1r8
1r4 1r5 1r6 1r7  1r8  1r9
1r5 1r6 1r7 1r8  1r9 1r10
1r6 1r7 1r8 1r9 1r10 1r11

   -/ .* h                              h ︽Α
1r186313420339200000

   ~. q: % -/ .* h                      det计縒疭借计 
2 3 5 7 11

   i.&.(p:^:_1) 2*6                     2*n借计
2 3 5 7 11

   ^ 2r1                                ^y 疊翴┪狡计
7.38906

   %: 49r25                             %: ノタキよだ计眔だ计
7r5

   %: 49r25 10r9
1.4 1.05409

   %: _2r1
0j1.41421
                
   1 = 1+10r1^_15                       弘絋 (だ计) ゑ耕
0

   (1.5-0.5) = 1+10r1^_15               甧岿 (疊翴) ゑ耕
1
             
   0.5 = 1r2
1
 • 玡 • 稪 • ま • 匡虫