åæ¯èŠå¯ð®ââïžçµ±äžæ¬¡å è«ãçetherè«(ðœæ°è«ãã©ãŒã )
ãåæ¯èŠå¯ð®ââïžçµ±äžæ¬¡å è«ãçetherè«(ðœæ°è«ãã©ãŒã )ã
å±±ç°ïŒå³_ææ¥_ðœæ°è«1ã2
ðœïŒ
1Ã1=1
2Ã2=4
1Ã5æ£æ¹åœ¢=5æ£æ¹åœ¢
9Ã4=36
1Ã37æ£æ¹åœ¢=37æ£æ¹åœ¢
ã°ïžðœð
å±±ç°ïŒ
1Ã1=1â1ââ1
2Ã2=4â4â2
1Ã5æ£æ¹åœ¢=5æ£æ¹åœ¢ââ5
9Ã4=36â6
1Ã37æ£æ¹åœ¢=37æ£æ¹åœ¢ââ37(ðœãð¥)
ðœïŒ
1ïŒâ1â1
4ïŒâ16â1
5ïŒâ25â1
36ïŒâ1296â1
37ïŒâ1369â1
ã°ïžðœð
å±±ç°ïŒãããã£ããããããããããªãã»ã©ããç解âïž
ðœïŒ
1ïŒâ1â1â1
4ïŒâ16â1â1
5ïŒâ25â1â1
36ïŒâ1296â1â1
37ïŒâ1369â1â1
ã°ïžðœððð
ðœïŒ
1ïŒpiâ1â1â1
4ïŒpiâ16â1â1
5ïŒpiâ25â1â1
36ïŒpiâ1296â1â1
37ïŒpiâ1369â1â1
ã°ïžðœððð
å±±ç°ïŒå åšåé³ãè¡šãã«ã¯ã次å ãã©ã¡ãŒã¿äžæ¬¡ã®â1ãšæ¬¡å ãã©ã¡ãŒã¿äºæ¬¡ã®â1ãå¿ èŠã§ãããã«åé³è§åºŠãè¡šããŠããæšã®piãå¿ èŠã
ðœïŒâæ£æ¹åœ¢ã®ææ°ã°ïžðœ
å±±ç°ïŒããããææ°ã§å¢ãããŠãå矩ã ã(ðœãð¥)
ðœïŒ
â(1Ã1)æ
â(1Ã2)æ
â(1Ã3)æ
â(1Ã5)æ
â(1Ã8)æ
â(1Ã13)æ
â(1Ã21)æ
â(1Ã34)æ
â(1Ã55)æ
â(1Ã89)æ
â(1Ã144)æ
ââââââââðœð
å±±ç°ïŒãã®11çš®éå®ïŒ(ðœãð¥)
ðœïŒ
â(0+0)/â(0+0)
â(0+1)/â(0+1)
....
â(1+1)/â(1+1)
.....
â(1+10000)/â(0+10000)
ðœð
anything and everything
all sorts of things
å±±ç°ïŒãã®11çš®ãåå³ãããã(ðœãð¥)
ðœïŒ
â(0Ã0)æ
â(1Ã1)æ
â(2Ã2)æ
â(2Ã2+1 2 3 4)æ
â(4Ã4)æ
â(4Ã4+1 2 3 4)æ
â(8Ã8+1 2 3 4)æ
â(16Ã16+1 2 3 4)æ
â(32Ã32+1 2 3 4)æ
â(64Ã64+1 2 3 4)æ
â(128Ã128+ 1 2 3 4 )æ
ââââââââðœð
å±±ç°ïŒ
â(0Ã0)æãå·Šè³
â(1Ã1)æã å·Šè³
â(2Ã2)æã å·Šè³
â(2Ã2+1 2 3 4)æã å³è³
â(4Ã4)æãå·Šè³
â(4Ã4+1 2 3 4)æã å³è³
â(8Ã8+1 2 3 4)æã å³è³
â(16Ã16+1 2 3 4)æ å³è³
â(32Ã32+1 2 3 4)æ å³è³
â(64Ã64+1 2 3 4)æ å³è³
â(128Ã128+ 1 2 3 4 )æ å³è³
(ðœãâ€ïž)
å±±ç°ïŒã³ã¬ã¯ãŸãããããã ãã©ããã®äžã®ããŒã¿ã11çš®éå®ã§ã1ã2ã3ã5ã8ã13ã21ã34ã55ã89ã144ããããŸã ç解ã§ãããã
ðœïŒððœã°ïžð€?
The numbers of the sequence are known as Fibonacci numbers. The first few numbers of the series are 0, 1, 1, 2, 3, 5, 8, ..Except for the first two terms of the sequence, every other term is the sum of the previous two terms, for example, 8=3+5(addition of 3 and 5).
[Google翻蚳]ã·ãŒã±ã³ã¹ã®æ°ã¯ãã£ããããæ°ãšããŠç¥ãããŠããŸããã·ãªãŒãºã®æåã®æ°ã¯0ã1ã1ã2ã3ã5ã8ã§ããã·ãŒã±ã³ã¹ã®æåã®2ã€ã®é
ãé€ããŠãä»ã®ãã¹ãŠã®é
ã¯åã®2ã€ã®é
ã®åèšã§ããããšãã°ã 8=3 +5ïŒ3ãš5ã®å ç®ïŒã
å±±ç°ïŒãã®å Žåã¯1ã®ææ°ïŒå åšåé³ãèšã£ãŠãããã§ããïŒããããããŒãŒãŒããè¡ãã®ããããå åšé£ãªãããã£ããããããã(ðœãâ€ïž)
ðœïŒtwitter.com/maco05636886/sâŠ
ç»å_ãªã³ã¯ã¹ã¯ã·ã§1ã2ã3ã4
ðœïŒ
twitter.com/maco05636886/sâŠ
twitter.com/Chachai1414189âŠ
twitter.com/maco05636886/sâŠ
ç»å_ãªã³ã¯ã¹ã¯ã·ã§1ã2
ðœïŒãã€ãã¹ã¯ãããŸããðœð
å±±ç°ïŒäžã¯ãã€ãã¹ã§ããã
ðœïŒç©è³ªã«ãã€ãã¹ãªããæ°åŠé¢æ°ã¯ããïŒðã°ïžðœ
å±±ç°ïŒäžå¿ãã
å±±ç°ïŒèžãè¿ãããã§æçž®ã§ããã
twitter.com/
ðœïŒç¬¬ïŒäºè±¡ðœðã°ïžð
å±±ç°ïŒå·Šç«¯ãšå³ç«¯ãå ±é³Žãšæããæãããã¯çžŠæ³¢ã§ããå åŽã®ãããã¯å åšåé³åçããããŠå·Šç«¯å ±é³Žæ¯ç¹ã®åå ã«ã¯æ¯åã¯ç¡ãã空æŽã
ðœïŒééããã®ã§ð±ã°ïž
äºè±¡ · ã€ãã³ãã åºæ¥äº;çŸè±¡,äºä»¶,äºè±¡
確çè«ã§ãæšæ¬ç©ºéã®éšåéåã®ãã¡ç¹å¥ã«éžã°ãããã®ð(å±±ç°ãð¥)
ðœïŒç¬¬ïŒè±¡éðœðã°ïžð
(â»è§£èª¬ïŒðœã®çµµæåã«ã€ããŠã
ã»ç¬¬ïŒäºè±¡ðœðã°ïžðâå®å®äººã®æèããçºçããåã
ã»ç¬¬ïŒè±¡éðœðã°ïžðâå®å®äººã®ãã®åããçºçããç©è³ªã
ãšãããããªæå³ããããŸããããæ®éã«èšããã®ããããã)
ðœïŒç»å_kes ether(å±±ç°ãð)
å±±ç°ïŒç©ºæŽä»¥éã®å ±é³Žã«é°éœãã¿ããã空æŽãå«ãããããè«ãšãããã£ãŠããšã§ããïŒ(ðœãð¥)
ðœïŒ
è«å
éšððœã°ïžð
(â»è§£èª¬ïŒðœãèããŠããããš(æè))
å°çäžã®ç©çççŸè±¡ã¯å
šãŠð(â»ç©è³ª)
æ±è¥¿ååðã°ïžð±?
(â»è§£èª¬ïŒæ±è¥¿ååãå
šãŠç©è³ªã§äžã€ã®æ¬¡å
ãªã®ã«ãªãã§åããã®ãïŒ)
å±±ç°ïŒ
ãã¯ã¯ãããã ããã
空æŽã®å
ãç¥ããããç¥ãå¿
èŠãããã(ðœãð¥)
ðœïŒ
piâ0³ / piâ0³
ðã°ïžðœ
(â»è§£èª¬ïŒèªèº«ã®å
éšå[空æŽ]ããçºçããðœmacoããå®å
šã«å²åŠã§ããã)
piâ1³ / piâ1³
é¡ððœ
(â»è§£èª¬ïŒç©è³ªæ¯åã®ether)
ðœïŒtwitter.com/SyberMath/statâŠ
ðœïŒ
(1/â45°)ïŒ(1/â45°)ïŒ(2/â45°)
(â1/â20°)â((â1â360°/â20°)/ â360°
(â1)/â45°)+(â1)/â45°)â((â2)â360°) /â45°) / â360°
éã³ãããæ£è§£ããŠããªããðã°ïžð±ð±ð±
ðœïŒtwitter.com/concinnus/statâŠ
ç»å_ãªã³ã¯ã¹ã¯ã·ã§1ã2
ðœïŒ
â7ïŒâ13ïŒâ20
â49ïŒâ169ïŒâ91ïŒâ91ïŒâ400
ðœðã°ïžð??
å±±ç°ïŒ
-ã¡ã¢-youtu.be/MsBTMEJf0EU
ãããããããŸãããããªããªã£ããã
(â1/â20°)â((â1â360°/â20°)/ â360°ããâããã§äœæ
20°ãåºãŠããã®ïŒ
ðœïŒ
解çã¯ãŸã äžæðœã°ïžð(å±±ç°ãð)
(â»ãªãã ããå
èšãã)
å±±ç°ïŒ
1 19
2 18
3 17
4 16
5 15
6 14
7 13
8 12
9 11
10 10
ðœïŒ
1/â7 ïŒ 1/â13ïŒ 1/â20
1/â49 ïŒ 1/â169 ïŒ 1/â91ïŒ1/â91 ïŒ 1/â400
ã°ïžððð??
åæ¯ã®ã¿èšç®ð
å±±ç°ïŒããã¯ãããã
ðœïŒæ°åŠè ãå°æ??ã°ïžð±ð±ð±
å±±ç°ïŒåãããšã ãã
twitter.com/MagicPi2/statuâŠ
é³åŸã§ã®åæ¯ãããã ãã©ããäŸãã°2ã¯ãªã¯ã¿ãŒãã£ãŠæå³ããããããåæ¯ãšã¯æ¬¡å
ïŒããç©äºã®åã決ãïŒããéåïŒãããžã£ã³ã«ïŒãããâ ïž
äžæšæ¥å¡Ÿã§ðœæ°è«ãèããŠããæãåæ¯ã®æå³ãå±¥ãéãã質åãé£ã³äº€ããããã説æããŠãããã¡ã«ãæšä»ã®ãã¹ã¯èŠå¯ð®ââïžç€ŸäŒãåæ¯ãå±¥ãéããŠããããã ã£ãŠãªè©±ã«çºå±ããããåæ¯èŠå¯ð®ââïžãå¿
èŠãªäžã®äžã ããšçµãã ãâ ïž
(ðœãâ€ïž)
åæ¯èŠå¯ð®ââïž äŸãã°çŽæ£åŸ
C 1/1â0/16
C# 17/16â1/16
D 9/8â2/16
D# 19/16â3/16
E 5/4â4/16
F 21/16â5/16
F# 11/8â6/16
G 3/2â8/16
G# 13/8â10/16
A 27/16â11/16
Bâ 7/4â12/16
B 15/8â14/16
C2 2/1â0/16
ðœïŒ
1/â10
1/â10
1/â10
1/â10
1/â10
1/â10
1/â10
1/â10
1/â10
ïŒ 1/â10
âââââââ
ã1â10 / â10
ð??
(å±±ç°ãð)
å±±ç°ïŒ
å®å
šæ°ã¯ç©è³ªã®æ ãetherãªãã
6(å®ç§æ°), 28, 496, 8128, 33550336, 8589869056, âŠ
åå§æ¬äŒŒå®å
šæ°ïŒprimitive semiperfect numberïŒãetherãªã®ïŒ
6, 20, 28, 88, 104, 272, 304, 350, 368, 464, 490, 496, 550, 572, 650, 748, 770, 910, 945, 1184,(ðœãð¥)
ðœïŒ
å®å
šæ°ãšã¯
èªåèªèº«ãé€ã
æ£ã®çŽæ°ã®åã«çãããªã
èªç¶æ°
ã®ããšã§ãã
å®å
šæ°ã®æåã¯
6
ã§ãã
å®å
šæ°ã¯
ãäžç©ã¯æ°ãªãã
ãšèãã
ãã¿ãŽã©ã¹ãåä»ãã
æ°ã®äžã€ã§ããããšã«ç±æ¥ããã
圌ããªã
ãå®å
šããšèããã®ãã«ã€ããŠã¯
äœãæžãæ®ãããŠããªãããã§ãã
ã- ãŠã£ãããã£ã¢-
ããããè«ãå®å
šæ°ãšã¯?ðœ
åå§æ代å®æ°ã«ãããå®å
šæ°ã¯ðœð
â(0+1)
â(1+2+3)
â(â0/â0),+(â1/â0)
â(â0/â1),+(â1/â1)
â(â1/â0)+(â2/â0)+(â3/â0)
â(â1/â1)+(â2/â1)+(â3/â1)
â(0+1)
â(1+2+3)
â(â0/â0),+(â1/â0)
â(â0/â1),+(â1/â1)
â(â1/â0)+(â2/â0)+(â3/â0)
â(â1/â1)+(â2/â1)+(â3/â1)
ðœð
åå§æ代人é¡ãåããŠçºèŠããå®æ°
æåããé çªã«
(0)
(1)
(2)
(3)
(â0/â0)
(â1/â0)
(â2/â0)
(â3/â0)
(â0/â1)
(â1/â1)
(â2/â1)
(â3/â1)
ðœïŒ
â0â0â0â0â0â0â0â0â0â0....
â01â01â01â01â01â01â01â01â01â01.....
ðœðå®ç§æ°
äžåãäºåãäžå.....ððð
åå§æ代èªç¶æ°å®¶æ
åå§æä»£çŽ æ°å®¶æ
åå§æ代å®æ°å®¶æ
æ°åŠè
ã®ã€ã¡ãŒãž
人é¡ã®ãã€ã³ãã³ã³ãããŒã«
èªç¶æ°ã®
1ã¯
çŽ æ°ã§ãªãããš
å®å
šã§ãªãããšãæ€ãã€ããð€ã°ïžð±ð±ð±
æªè§£æ±ºäºä»¶ðœð
誰ã
ãã€
äœã®ããã«
ãããããã
人é¡ãæãããã«ãã°ïžð±???
twitter.com/MagicPi2/statuâŠ
ç»å_ãªã³ã¯ã¹ã¯ã·ã§
ãããã£ãŠåå§æ代家æã¯
â00
â01
â06
â30
pi
ãããåå§æ代å®å
šæ°ðœð(å±±ç°ãâ€ïž)
æ°ããçºèŠãããè¿œå ããð(å±±ç°ãâ€ïž)
å±±ç°ïŒ
ãä¿åçã(ðœãð)
googology.wikia.org/ja/wiki/%E5%8EâŠ
ðœïŒ
ðœð
åå§æ代巚倧æ°
â(âïŒ30)
piâ(n+30)
ðœð
â
©â
©â
©â
©_____â
©+a
âa=â(30e+c)
âe=â(0ã°ïžâ)
âc=â(0ã°ïž30)
å±±ç°ïŒæå³ããã£ãŠããããããããã«ãåæ¯èŠå¯ð®ââïžããããåå§æ代巚倧æ°ã®ç«å Žã«ã¡ãããšç«ã€ãšããã«ããã極éãç¡é倧ã«ã30a+bã®æ³åãæãç«ã€ã£ãŠããšïŒ(ðœãð)
ðœïŒæ倧ãã€æå°ðœð
ðœïŒåå§æ代ãå®å®å®¶æãæ°
ðœïŒè¶
æ°(å±±ç°ãð¥)
å±±ç°ïŒããããããšã«ãªããããæ代å€ããã£ãŠããšã
ðœïŒå³_è¶ è¶ãã¿ãŽã©ã¹1
確èªäžðœã°ïžð±ð
6â2âââ(5â2+1â2)
3â5
3â1âââ(1â4+1â1)
âðœðã°ïž?
å³_è¶ è¶ãã¿ãŽã©ã¹2
ðœðã°ïžð±?
å³_è¶
è¶ãã¿ãŽã©ã¹3
å±±ç°ïŒæ £ããããããéããŸã§ãããããããã確èªäžã®å³ã¯ããããã®ã§ãããã³ã¬ã¯ç解ãããè³å 次å æ§é ã«èŠããã
ðœïŒtwitter.com/maco05636886/sâŠ
ç»å_ãªã³ã¯ã¹ã¯ã·ã§1ã2ã3ã4
å±±ç°ïŒé»äœãšæ°Žã®é¢ä¿ã
å³_ééã¡ã«ããºã
å±±ç°ïŒ
äŒåç¹ã¯ã³ã¬ã (ðœãð)
é»äœã®FãGãAãB(336ã384ã432ã480)ãããããEãF#ãG#ãBâã«äžããã
ã2dâ3dçŽæ£åŸäºæè¡šã
ãã2d 3d Ratio
C 256C 256C 1/1
C# 272C# 272C# 17/16
D 288D 288D 9/8
D# 304D# 312D# 19/16
E 320E *** 5/4
F 336F 336E 21/16â5/4
F# 352F# 360F 11/8â21/16
G 384G 384F# 3/2â11/8
G# 416G# 408G 13/8â3/2
A 432A 432G# 27/16â13/8
Bâ 448Bâ 456A 7/4â27/16
B 480B 480Bâ 15/8â7/4
C2 512C 504B 2/1â15/8
C#2 *** 528C2 2/1
é¢ã®åšæã«ç«äœãEã®ãšããã§åé³ãºã¬ããããã©ã¯ã¿ã«ã«ãªãã(ðœãð)
ðœïŒç»å_ãã©ã¯ã¿ã«èª¬æ
ðœïŒ
0°+1°=1°âpiðœ
1°+2°+3°=6°
1°+2°+3°+4°=10°
âpiðã°ïžðœð(å±±ç°ãð¥)
0°âpiðœ
1°âpiðœ(å±±ç°ãð¥)
ðœïŒå³_å±±ç°ãäœã£ããã¿ãŽã©ã¹
ðœïŒa°+b°=c°âpiã°ïžðœð
å±±ç°ïŒé¢ä¿åŒæºããïŒpiãfullïŒpiãâ ïž(ðœãð)