Õðîíîëîãèè áåç ðàçëîæåíèÿ íà ìíîæèòåëè, âàðèàíòû
Ðàçëàãàòü èëè íå ðàçëàãàòü íà ìíîæèòåëè? Âñ¸ çàâèñèò îò ïëîòíîñòè ðàñïðåäåëåíèÿ ëåò, åñëè áðàòü áîëåå ïëîòíî, òî íà ìíîæèòåëè ðàçëàãàòü íàäî. Ãëàâíîå, ÷òîáû ïîëó÷àëèñü óêàçàííûå ñîáûòèÿ è êîíòðîëüíûå óêàçàííûå ãîäû. ß íà ðàäîñòü ãðàôîìàíàì ñäåëàëà õðîíèêè áåç ðàçëîæåíèÿ. Âñå òðè õðîíèêè.
Ïåðâàÿ õðîíèêà.
1242/365=3+147/365 365/147=2+71/147 147/71=2+5/71 71/5=14+1/5 – 8, ñóììà 224
1080/365=2+350/365 365/350=1+15/350 350/15=23+5/15 15/5=3+0 – 8(7), ñóììà 370
(1080/365=2+70/73 73/70=1+3/70 70/3=23+1/3 – 6, ñóììà 74)
516/365=1+151/365 365/151=2+63/151 151/63=2+25/63 63/25=2+13/25 25/13=1+12/13 13/12=1+1/12 - 12, ñóììà 266
515/365=1+150/365 365/150=2+65/150 150/65=2+20/65 65/20=3+5/20 20/5=4+0 – 10(9), ñóììà 240
(515/365=103/73=1+30/73 73/30=2+13/30 30/13=2+4/13 13/4=4+1/3 – 8,ñóììà 48)
16/365=0+16/365 365/16=22+13/16 16/13=1+3/13 13/3=4+1/3 – 8, ñóììà 33
570/365=1+205/365 365/205=1+160/205 205/160=1+45/160 160/45=3+25/45 45/25=1+20/25 25/20=1+5/20 20/5=4+0 – 14(13), ñóììà 460
(570/365=114/73=1+41/73 73/41=1+32/41 41/32=1+9/32 32/9=3+5/9 9/5=1+4/5 5/4=1+1/4 – 12, ñóììà 92)
1350/365=3+255/365 365/255=1+110/255 255/110=2+35/110 110/35=3+5/35 35/5=7+0 – 10(9),ñóììà 405
(1350/365=270/73=3+51/73 73/51=1+22/51 51/22=2+7/22 22/7=3+1/7 – 8, ñóììà 81)
621/365=1+256/365 365/256=1+109/256 256\109=2+38\109 109/38=2+33/38 38/33=1+5/33 33/5=6+3/5 5/3=1+2/3 3/2=1+1/2 – 16 ñóììà 447
365/621=0+365/621 621/365=1+256/365 365/256=1+109/256 256\109=2+38\109 109/38=2+33/38 38/33=1+5/33 33/5=6+3/5 5/3=1+2/3 3/2=1+1/2– 18 ñóììà 812 - ðàçâ¸ðíóòà
Èòîãî ñ 0 áåç ñîêð.:8+8+14+10+…=40+…=
Èòîãî áåç 0 áåç ñîêð.:8+7+13+9+…=37+…=
Èòîãî ñ 0 ñ ñîêð.:8+6+12+8+…=34+…=
Èòîãî áåç 0 ñ ñîêð.: 8+6+12+8+…=34+…=
Ñóììà áåç ñîêð: 224+370+460+405+…=1459+…=
Ñóììà ñ ñîêð: 224+74+92+81+…=471+…=
1242+1080+570+516+1350=4758
Èòîãî ñ 0 áåç ñîêð.:8+8+14+10+12=40+12=52
Èòîãî áåç 0 áåç ñîêð.:8+7+13+9+12=37+12=49
Ñóììà áåç ñîêð: 224+370+460+405+…=1459+266=1725
Ãîä â öåíòóðèÿõ, òî ëè 1725, òî ëè 1727, ó Çàâàëèøèíà âîîáùå 2025 ãîä.
1242+1080+570+515+16+1350=4773
Èòîãî ñ 0 áåç ñîêð.:8+8+14+10+10+9=40+19=59
Èòîãî áåç 0 áåç ñîêð.:8+7+13+9+9+8=37+17=54
Ñóììà áåç ñîêð: 224+370+460+405+240+33=1459+240+33= 1732
1242+1080+570+515+1350+621=5378
Ñóììà ñ ñîêð: 224+74+92+81+…=471+…=471+821+48=1607
Çäåñü öèôðó 621 ÿ ðàçâåðíóëà íàîáîðîò, îíà êàê áû «â ìèíóñå», õîòÿ íà äåëå â àëãîðèòìå Åâêëèä ìèíóñîâ áûòü íå ìîæåò, ó íàñ èõ è íåò.
Îäèí ãîä óêàçàí ó Íîñòðà â ïèñüìå Ãåíðèõó 1555+177=1732.
Êëþ÷, êàê ìû óæå çíàåì, íà ìíîæèòåëè íå ðàçëàãàåòñÿ, à âîò õðîíèêè ÿ áû ðàçëîæèëà íà ìíîæèòåëè. Êàê íè êðóòè, à âñ¸ àëãîðèòì Åâêëèäà.
Âòîðàÿ õðîíèêà.
365/1506=0+365/1506 1506/365=4+46/365 365/46=7+43/46 46/43=1+3/43 43/3=14+1/3 - 10, ñóììà 458
365/600=0+365/600 600/365=1+235/365 365/235=1+130/235 235/130=1+105/130 130/105=1+25/105 105/25=4+5/25 25/5=5+0 – 14(13), ñóììà 865
(365/600=0+73/120 600/365=120/73=1+47/73 73/47=1+26/47 47/26=1+21/26 26/21=1+5/21 21/5=4+1/5– 12,ñóììà 173)
1,2=7/6, 365;6/7=2190/7=312+6/7 7/6=1+1/6 – 4, ñóììà 7
1,2 =7,7 7/365;6=0+7/2190 2190/7=312+6/7 7/6=1+1/6 – 6, ñóììà 14 - ðàçâ¸ðíóòà
((365\12=30+5/12 12/5=2+2/5 5/2=2+1\2 – 6, ñóììà 8))
365/295=1+70/295 295/70=4+15/70 70/15=4+10/15 15/10=1+5/10 10/5=2+0 – 10(9), ñóììà 100
(73/59=1+14/59 59/14=4+3\14 14/3=4+2/3 3/2=1+1/2 – 8, ñóììà 20)
365/100=3+65/100 100/65=1+35/65 65/35=1+30/35 35/30=1+5\30 30/5=6+0 – 10(9), ñóììà 135
(73/20=3+13/20 20/13=1+7/13 13/7=1+6/7 7/6=1+1/6 – 8 ñóììà 27)
365/60=6+5/60 60/5=12+0 – 4(3) , ñóììà 5
(73/12=6+1/12 – 2 , ñóììà 1)
365/130=2+105/130 130/105=1+25/105 105/25=4+5/25 25/5=5+0 – 8(7), ñóììà 135
(73/26=2+21/26 26/21=1+5/21 21/5=4+1/5 – 6, ñóììà 27)
365/430=0+365/430 430/365=1+65/365 365/65=5+40/65 65/40=1+25/40 40/25=1+15/25 25\15=1+10/15 15/10=1+5/10 10/5=2+0 – 16(15), ñóììà 525
(365/430=0+73/86 430/365=86/73=1+13/73 73/13=5+8/13 13/8=1+5/8 8/5=1+3/5 5/3=1+2\3 3\2=1+1/2 – 14, ñóììà 105)
365/4=91+1/4 – 2, ñóììà 1
365/476=0+365/476 476/365=1+111\365 365/111=3+32/111 111/32=3+15/32 32\15=2+2/15 15/2=7+1/2 - 12, ñóììà 526
365/480=0+365/480 480/365=1+115/365 365/115=3+20/115 115/20=5+15/20 20/15=1+5\15 15/5=3+0 – 12(11), ñóììà 520
(365/480=0+73/96 480/365=96/73=1+23/73 73/23=3+4/23 23/4=5+3/4 4/3=1+1/3 – 10 ,ñóììà 104)
365/484=0+365/484 484/365=1+119/365 365/119=3+8\119 119/8=14+7/8 8/7=1+1/7 – 10, ñóììà 500
365/490=0+365/490 490/365=1+125/365 365/125=2+115/125 125/115=1+10\115 115/10=11+5/10 10/5=2+0 – 12(11) , ñóììà 620
(365/490=0+73/98 490/365=98/73=1+25/73 73/25=2+23\25 25/23=1+2/23 23/2=11+1/2 – 10, ñóììà 124)
(600/365=120/73=1+47/73 73/47=1+26/47 47/26=1+21/26 26/21=1+5/21 21/5=4+1/5– 10,ñóììà 100)
Èòîãî ñ 0 áåç ñîêð.: 8+12+6+12+12+4+10+14+10+…=88+…=
Èòîãî áåç 0 áåç ñîêð.: 8+11+6+11+11+3+9+13+9+…=81+…=
Èòîãî ñ ñîêð.: 8+10+6+10+10+4+8+12+8++…=76+…=
1506+1,2-1,2+295+100+60+130+430+476+490=4088,2
1ã.2ìåñ/365=7/6;365=7/2190=0+7/2190 2190/7=312+6/7 7/6=1+1/6 – 6, ñóììà 14
Ñóììà áåç ñîêð.: 458+865+7+100+135+5+135+525+620+…=2850+…1,526,520,500
2850-865+14=1985+14=1999
Ïðè ýòîì 1,2 ðàçâ¸ðíóòà, à 600 íå áåð¸òñÿ.
1506+600+1,2+295+100+60+130+430+4+476+490=4088,2
Ñóììà ñ ñîêð:
1506+600+600+1,2+295+100+60+130+430+476+490=4187,2
Ñóììà ñ ñîêð:
Ïðè ýòîì îäíà 600 ðàçâ¸ðíóòà.
Òðåòüÿ õðîíèêà.
1590/365=4+130/365 365/130=2+105/130 130/105=1+25/105 105/25=4+5/25 25/5=5+0 – 10 ñóììà 265)
(1590/365=318/73=4+26/73 73/26=2+21/26 26/21=1+5/21 21/5=4+1/5 – 8, ñóììà 53)
326/365=0+326/365 365/326=1+39/326 326/39=8+14/39 39/14=2+11\14 14\11=1+3\11 11/3=3+2/3 3/2=1+1/2 – 14, ñóììà 396
539/365=1+174/365 365/174=2+17/174 174/17=10+4/17 17/4=4+1/4 - 8, ñóììà 196
514/365=1+149/365 365/149=2+67/149 149/67=2+15/67 67/15=4+7/15 15/7=2+1/5 – 10, ñóììà 239
474/365=1+109/365 365/109=3+38/109 109/38=2+33/38 38/33=1+5/33 33/5=6+3/5 5/3=1+2/3 3/2=1+1/2 – 14, ñóììà 191
613/365=1+248/365 365/288=1+117/248 248/117=2+14\117 117/14=8+5/14 14/5=2+4/5 5/4=1+1/4 – 12, ñóììà 389
1566/365=4+106/365 365/106=3+47/106 106/47=2+12/47 47/12=3+11/12 12\11=1+1/11 -10, ñóììà 177
Èòîãî áåç ñîêð.: 10+14+8+10+14+12+10=78
1590+326+539+514+474+613+1566=5622
Èòîãî ñ ñîêð.: 8+14+8+10+14+12+10=76
Ñóììà áåç ñîêð.: 265+396+196+239+191+389+177=1588+265=1853
Ñóììà ñ ñîêð: 53+396+196+239+191+389+177=1588+53=1641
1557+(21+28+35)=1641
Ýòà õðîíèêà îò 1557 ãîäà íà÷èíàåòñÿ è áèíîìèíàëüíûå êîýôôèöèåíòû ñîîòâåòñòâåííî.
Âòîðàÿ õðîíèêà
1506/365=4+46/365 365/46=7+43/46 46/43=1+3/43 43/3=14+1/3 - 8, ñóììà 93
600/365=1+235/365 365/235=1+130/235 235/130=1+105/130 130/105=1+25/105 105/25=4+5/25 25/5=5+0 – 12(11), ñóììà 500
(600/365=120/73=1+47/73 73/47=1+26/47 47/26=1+21/26 26/21=1+5/21 21/5=4+1/5– 10,ñóììà 100)
1ã.2ìåñ/365=7/6;365=7/2190=0+7/2190 2190/7=312+6/7 7/6=1+1/6 – 6, ñóììà 14
12/365=0+12/365 365\12=30+5/12 12/5=2+2/5 5/2=2+1\2 – 8, ñóììà 20
295/365=0+295/365 365/295=1+70/295 295/70=4+15/70 70/15=4+10/15 15/10=1+5/10 10/5=2+0 – 12(11), ñóììà 395
(295/365=0+59/73 73/59=1+14/59 59/14=4+3\14 14/3=4+2/3 3/2=1+1/2 – 10, ñóììà 79)
100/365=0+100/365 365/100=3+65/100 100/65=1+35/65 65/35=1+30/35 35/30=1+5\30 30/5=6+0 – 12(11), ñóììà 235
(100/365=0+20/73 73/20=3+13/20 20/13=1+7/13 13/7=1+6/7 7/6=1+1/6 – 10, ñóììà 47)
60/365=0+60/365 365/60=6+5/60 60/5=12+0 – 4(3) , ñóììà 65
(60/365=0+12/73 73/12=6+1/12 – 4 , ñóììà 13)
130/365=0+130/365 365/130=2+105/130 130/105=1+25/105 105/25=4+5/25 25/5=5+0 – 10(9), ñóììà 265
(130/365=0+26/73 73/26=2+21/26 26/21=1+5/21 21/5=4+1/5 – 8, ñóììà 53)
430/365=1+65/365 365/65=5+40/65 65/40=1+25/40 40/25=1+15/25 25\15=1+10/15 15/10=1+5/10 10/5=2+0 – 14(13), ñóììà 160
(430/365=86/73=1+13/73 73/13=5+8/13 13/8=1+5/8 8/5=1+3/5 5/3=1+2\3 3\2=1+1/2 – 12, ñóììà 32)
4/365=0+4/365 365/4=91+1/4 – 4, ñóììà 5
476/365=1+111\365 365/111=3+32/111 111/32=3+15/32 32\15=2+2/15 15/2=7+1/2 - 10, ñóììà 161
480/365=1+115/365 365/115=3+20/115 115/20=5+15/20 20/15=1+5\15 15/5=3+0 – 10(9), ñóììà 155
(480/365=96/73=1+23/73 73/23=3+4/23 23/4=5+3/4 4/3=1+1/3 – 8 ,ñóììà 31)
484/365=1+119/365 365/119=3+8\119 119/8=14+7/8 8/7=1+1/7 – 8, ñóììà 135
490/365=1+125/365 365/125=2+115/125 125/115=1+10\115 115/10=11+5/10 10/5=2+0 – 10(9) , ñóììà 255
(490/365=98/73=1+25/73 73/25=2+23\25 25/23=1+2/23 23/2=11+1/2 – 8, ñóììà 51)
Èòîãî ñ 0 áåç ñîêð.: 8+12+6+12+12+4+10+14+10+…=88+…=
Èòîãî áåç 0 áåç ñîêð.: 8+11+6+11+11+3+9+13+9+…=81+…=
Èòîãî ñ ñîêð.: 8+10+6+10+10+4+8+12+8+…=76+…=
Ñóììà áåç ñîêð.: 93+500+14+395+235+65+265+160+255+…=1982+…
Ñóììà ñ ñîêð: 93+100+14+79+47+13+53+32+51+…=482+…=
Âûâîä.
Òàêèì îáðàçîì ïðîÿâèëèñü ïðîíóìåðîâàííûå êàòðåíû, óêàçàííûå Íîñòðîì â öåíòóðèÿõ. ß èõ îòíîñèëà âîîáùå-òî ê îðèåíòèðàì ïðè ðàñ÷¸òå.  íàëè÷èè 1607 – VIII(71), 1641 – Ãåíðèõ,1725 ? – III(77), 1732 - Ãåíðèõ, 1707 èëè 1740 (Ëèòóðãèÿ) - VI(54), 1999 -X(72).
Íåò 1609 –X(91), 1700 – I(49), 1727 ? – III(77).