Institute of Prediction Technology & Forensic Mathematics (PT&FM)
President: John Wong

Institute of Prediction Technology & Forensic Mathematics (PT&FM)

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Analysis of `Yearon', Timeon related to `Year' in y B.C. (Table 1)
Zone Number of `Yearon' / Remainder of Year in y B.C.: R=R[y/10]R=1R=2R=3R=4R=5R=6R=7R=8R=9R=0
Jwo={Jwo=3-3xR[y/10]+8xI[{R[y/10]}/2]+2xI[{R[y/10]}/3]-4xI[{R[y/10]}/4]+2xI[{R[y/10]}/5]-2xI[{R[y/10]}/6]+4xI[{R[y/10]}/8] (Mod 12) & Z=9-y (Mod 12)}&C[Jwo<>Z:Jwo=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. 0 5 4 5 4 9 6 11 10 3
Jwo2={Jwo2=5-3xR[y/10]+8xI[{R[y/10]}/2]+2xI[{R[y/10]}/3]-4xI[{R[y/10]}/4]+2xI[{R[y/10]}/5]-2xI[{R[y/10]}/6]-8xI[{R[y/10]}/8] (Mod 12) & Z=9-y (Mod 12)}&C[Jwo2<>Z:Jwo2=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. 2 7 6 7 6 11 8 1 0 5
Jwo3={Jwo3=10-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) & Yeu=3-y (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. i 11 10 11 10 i i 5 4 i
Jwo4={Jwo4=8-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) & Tor=3-y (Mod 12)}&C[Jwo4<>Tor:Jwo4=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. i 1 0 1 0 i i 7 6 i
Jwo5={Jwo5=8-y (Mod 10) & Z=9-y (Mod 12)}&C[(Jwo5<>2,10 & Z<>2,4,5,6,8,9,11):Jwo5=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. 2,4,6,8 1,3,5,7,9,11 2,4,6,8 5,9,11 2,4,6,8 5,9,11 2,4,6,8 5,9,11 2,4,6,8 1,3,5,7,9,11
Sen=5xR[y/10]-I[{R[y/10]}/2]-9xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12) 5 9 2 9 2 6 11 3 8 0
Muk=11-5xR[y/10]-7xI[{R[y/10]}/2]+2xI[{R[y/10]}/3]+5xI[{R[y/10]}/4]+9xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12) 6 8 3 8 3 5 0 2 9 11
Dai=10-3xR[y/10]+3xI[{R[y/10]}/2]+3xI[{R[y/10]}/3]-3xI[{R[y/10]}/6]+9xI[{R[y/10]}/9] (Mod 12) 7 7 4 7 4 4 1 1 10 10
Lam=9-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12) 8 6 5 6 5 3 2 0 11 9
Won=8+R[y/10]-5xI[{R[y/10]}/2]+5xI[{R[y/10]}/4]-2xI[{R[y/10]}/5]+7xI[{R[y/10]}/8] (Mod 12) 9 5 6 5 6 2 3 11 0 8
Suy=7+3xR[y/10]-9xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12) 10 4 7 4 7 1 4 10 1 7
Bam=6+5xR[y/10]-I[{R[y/10]}/2]-9xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12) 11 3 8 3 8 0 5 9 2 6
Sei=5-5xR[y/10]+7xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) 0 2 9 2 9 11 6 8 3 5
Moo=4-3xR[y/10]+3xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12) 1 1 10 1 10 10 7 7 4 4
Jut=3-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) 2 0 11 0 11 9 8 6 5 3
Toi=2+R[y/10]+7xI[{R[y/10]}/2]-9xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12) 3 11 0 11 0 8 9 5 6 2
Yeo=1+3xR[y/10]+3xI[{R[y/10]}/2]-9xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12) 4 10 1 10 1 7 10 4 7 1

Analysis of `Ego' (U) & `Yearon', Timeon related to `Year' in A.D. y (Table 2)
Ego (U) & Yearon meet / Remainder of Year in A.D. y: R=R[y/10]R=1R=2R=3R=4R=5R=6R=7R=8R=9R=0
Inc: Ego=(U+5)&C{R[U/2]=0:-2} (Mod 10) Ego=3 Ego=6 Ego=5 Ego=8 Ego=7 Ego=10 Ego=9 Ego=2 Ego=1 Ego=4
Win: Ego=U+4 (Mod 10) Ego=4 Ego=5 Ego=6 Ego=7 Ego=8 Ego=9 Ego=10 Ego=1 Ego=2 Ego=3
Los: Ego=(U-1)&C{R[U/2]=1:+2} (Mod 10) Ego=7 Ego=10 Ego=9 Ego=2 Ego=1 Ego=4 Ego=3 Ego=6 Ego=5 Ego=8

Analysis of `Yearon', Timeon related to `Year' in A.D. y (Table 3)
r=0>9
Zone Number of `Yearon' / Remainder of Year in A.D. y: R=R[y/10]R=1R=2R=3R=4R=5R=6R=7R=8R=9R=0
Jwo={Jwo=3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo<>Z:Jwo=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. 3 10 11 6 9 4 5 4 5 0
Jwo2={Jwo2=2+3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo2<>Z:Jwo2=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. 5 0 1 8 11 6 7 6 7 2
Jwo3={Jwo3=9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) & Yeu=2+y (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. i 4 5 i i 10 11 10 11 i
Jwo4={Jwo4=7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) & Tor=2+y (Mod 12)}&C[Jwo4<>Tor:Jwo4=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. i 6 7 i i 0 1 0 1 i
Jwo5={Jwo5=7+y (Mod 10) & Z=8+y (Mod 12)}&C[(Jwo5<>6,8 & Z<>2,4,5,6,8,9,11):Jwo5=i], whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. If the value of Jwo, Jwo2, Jwo3, Jwo4 or Jwo5 is not imaginary, it means that great natural disaster or war would occur in the year. 1,3,5,7,9,11 2,4,6,8 5,9,11 2,4,6,8 5,9,11 2,4,6,8 5,9,11 2,4,6,8 1,3,5,7,9,11 2,4,6,8
Ff=Chzon / Houron / MonthonKkFuYmMoChzChKeBuLeFuo
Fk=ChzonTaChzKuPrLeKeTgYmTmMo
Fl=ChzonKuLePrLmKeTgYmTmMoTa
Fj=Chzon / HouronChMoTmTaYmLmKuKeKkTg
Inc: R[y/10]=(Ego+5)&C{R[Ego/2]=0:-2} (Mod 10) Ego=1 Ego=4 Ego=3 Ego=6 Ego=5 Ego=8 Ego=7 Ego=10 Ego=9 Ego=2
Win: R[y/10]=Ego+4 (Mod 10) Ego=2 Ego=3 Ego=4 Ego=5 Ego=6 Ego=7 Ego=8 Ego=9 Ego=10 Ego=1
Los: R[y/10]=(Ego-1)&C{R[Ego/2]=1:+2} (Mod 10) Ego=7 Ego=10 Ego=9 Ego=2 Ego=1 Ego=4 Ego=3 Ego=6 Ego=5 Ego=8
Cfu=7+3xI[{R[y/10]}/2]-3xI[{R[y/10]}/4]-9xI[{R[y/10]}/8] (Mod 12) 7 10 10 10 10 1 1 4 4 7
Luk=8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)91102356568
Yeu=9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)10013467679
Tor=7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)810111245457
Remark: `Yeu' & `Tor' are inter-changeable in pairs. Yeu=9-R[y/10]+5xI[R[y/10]/2]-3xI[R[y/10]/8] (Mod 12)80113265659
Remark: `Yeu' & `Tor' are inter-changeable in pairs. Tor=7+3xR[y/10]-3xI[R[y/10]/2]-3xI[R[y/10]/8] (Mod 12)101011447477
Fui=1+R[y/10]+I[{R[y/10]}/3]+I[{R[y/10]}/4]-I[{R[y/10]}/6]+I[{R[y/10]}/7]-3xI[{R[y/10]}/9] (Mod 12)23578911101
Eut=7-R[y/10]-I[{R[y/10]}/3]-I[{R[y/10]}/4]+I[{R[y/10]}/6]-I[{R[y/10]}/7]+3xI[{R[y/10]}/9] (Mod 12)65310119787
Chw=11+R[y/10]+3xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)02356898911
Kkw=3-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/8] (Mod 12)20119865653
Fkw=4+R[y/10]-2xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]-2xI[{R[y/10]}/5]+2xI[{R[y/10]}/6]+8xI[{R[y/10]}/7]+2xI[{R[y/10]}/10] (Mod 12) 5 4 3 2 1 0 9 8 7 6
Gkw={2+R[y/10]+I[{R[y/10]}/2]+2xI[{R[y/10]}/3]-10xI[{R[y/10]}/4]+5xI[{R[y/10]}/5]-I[{R[y/10]}/6]-7xI[{R[y/10]}/7]}&C[R[y/10]=8:4,10]&C[R[y/10]=9:1,7] (Mod 12) 3 5 8 0 6 9 3 4,10 1,7 2
Jkw={11-9xR[y/2]}&C{R[y/10]>3:5+3xR[y/2]} (Mod 12) 2 11 2 5 8 5 8 5 8 11
Tyh=6-R[y/10]+5xI[R[y/10]/2] (Mod 12) 5 9 8 0 11 3 2 6 5 6
Gun=11-2xR[y/10]+3xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]-I[{R[y/10]}/5]+2xI[{R[y/10]}/6]-I[{R[y/10]}/7]-2xI[{R[y/10]}/9] (Mod 12)910674523911
Fuk=6-R[y/10]+2xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]+3xI[{R[y/10]}/6]-4xI[{R[y/10]}/8]-8xI[{R[y/10]}/9] (Mod 12)56598011326
Tyn=11-3xR[y/10]+I[{R[y/10]}/2]+2xI[{R[y/10]}/3]-I[{R[y/10]}/4]+9xI[{R[y/10]}/6]+I[{R[y/10]}/7]+2xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12) 8 6 5 2 11 8 6 5 2 11
Hok=5-5xR[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)08311629295
Chu=2+4xR[y/10]-I[{R[y/10]}/2]-2xI[{R[y/10]}/3]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/5]+5xI[{R[y/10]}/6]+I[{R[y/10]}/7]-3xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12)69115605682
Har=4-R[y/10]+9xI[{R[y/10]}/2]-8xI[{R[y/10]}/3]-I[{R[y/10]}/4]+2xI[{R[y/10]}/5]-3xI[{R[y/10]}/6]+2xI[{R[y/10]}/7]+2xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12)311291078564
Yue=10+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)111245787810
Yim=10-R[y/10]+4xI[{R[y/10]}/2]-3xI[{R[y/10]}/3]-5xI[{R[y/10]}/4]+3xI[{R[y/10]}/5]-8xI[{R[y/10]}/6]+8xI[{R[y/10]}/7]-I[{R[y/10]}/8]+4xI[{R[y/10]}/9] (Mod 12)90868274410
Jit=7-2xR[y/10]+9xI[{R[y/10]}/4]+3xI[{R[y/10]}/8]-I[{R[y/10]}/9] (Mod 12)5318642097
Sen=5-5xR[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) 0 8 3 11 6 2 9 2 9 5
Muk=6+5xR[y/10]-7xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) 11 9 2 0 5 3 8 3 8 6
Dai=7+3xR[y/10]-3xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) 10 10 1 1 4 4 7 4 7 7
Lam=8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) 9 11 0 2 3 5 6 5 6 8
Won=9-R[y/10]-7xI[{R[y/10]}/2]+9xI[{R[y/10]}/8] (Mod 12) 8 0 11 3 2 6 5 6 5 9
Suy=10-3xR[y/10]-3xI[{R[y/10]}/2]+9xI[{R[y/10]}/8] (Mod 12) 7 1 10 4 1 7 4 7 4 10
Bam=11-5xR[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) 6 2 9 5 0 8 3 8 3 11
Sei=5xR[y/10]-7xI[{R[y/10]}/2]+9xI[{R[y/10]}/8] (Mod 12) 5 3 8 6 11 9 2 9 2 0
Moo=1+3xR[y/10]-3xI[{R[y/10]}/2]+9xI[{R[y/10]}/8] (Mod 12) 4 4 7 7 10 10 1 10 1 1
Jut=2+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) 3 5 6 8 9 11 0 11 0 2
Toi=3-R[y/10]+5xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) 2 6 5 9 8 0 11 0 11 3
Yeo=4-3xR[y/10]+9xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) 1 7 4 10 7 1 10 1 10 4
Bos=8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)91102356568
Lis=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)10013467679
Lis=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)810111245457
Clu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:10+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)111245787810
Clu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:6+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)79100134346
Sho=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:11+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)02356898911
Sho=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:5+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)68911023235
Ckn=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)134679109100
Ckn=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:4+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)578101112124
Csu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:1+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)24578101110111
Csu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:3+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)46791001013
Lim=2+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)356891101102
Hee=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:3+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)46791001013
Hee=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:1+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)24578101110111
Cbm=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:4+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)578101112124
Cbm=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)134679109100
Bai=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:5+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)68911023235
Bai=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:11+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)02356898911
Fbg=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:6+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)79100134346
Fbg=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:10+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)111245787810
Kfu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)810111245457
Kfu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1} :9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12)10013467679


Analysis of `Ego' (U) & Zone Number (Z) of `Yearon', Timeon related to `Year' in A.D. y (Table 4)
Ego (U) & Yearon meet / Remainder of Year in A.D. y: R=R[y/12] & Year Root (Z): Z=8+y (Mod 12)R=0, Z=8R=1, Z=9R=2, Z=10R=3, Z=11R=4, Z=0R=5, Z=1R=6, Z=2R=7, Z=3R=8, Z=4R=9, Z=5R=10, Z=6R=11, Z=7
Inc: Ego={(12-U)-7xI[U/5]+5xI[U/7]+5xI[U/9]+7xI[U/10]}&C[U=1:1, 7]&C[U=2:4, 10] (Mod 12) Ego=4 Ego=3 Ego=2 Ego=6 Ego=5 Ego=1 Ego=8 Ego=7 Ego=2 Ego=10 Ego=9 Ego=1
Win: Ego={(U+5)+I[U/5]+I[U/7]+I[U/9]}&C[U=1:4, 10]&C[U=2:1, 7] (Mod 12) Ego=3 Ego=4 Ego=1 Ego=5 Ego=6 Ego=2 Ego=7 Ego=8 Ego=1 Ego=9 Ego=10 Ego=2
Los: Ego={(4-U)+5xI[U/3]+2xI[U/7]}&C[U=5:1, 7]&C[U=6:4, 10] (Mod 12) Ego=8 Ego=7 Ego=6 Ego=10 Ego=9 Ego=5 Ego=2 Ego=1 Ego=6 Ego=4 Ego=3 Ego=5

Analysis of `Yearon', Timeon related to `Year' in A.D. y (Table 5)
Zone Number of `Yearon' / Remainder of Year in A.D. y: R=R[y/12]R=0R=1R=2R=3R=4R=5R=6R=7R=8R=9R=10R=11
Inc: R[y/12]-4={(12-Ego)-7xI[Ego/5]+5xI[Ego/7]+5xI[Ego/9]+7xI[Ego/10]}&C[Ego=1:1,7]&C[Ego=2:4,10] (Mod 12) Ego=4 Ego=3 Ego=2 Ego=6 Ego=5 Ego=1 Ego=8 Ego=7 Ego=2 Ego=10 Ego=9 Ego=1
Win: R[y/12]-4={(Ego+5)+I[Ego/5]+I[Ego/7]+I[Ego/9]}&C[Ego=1:4,10]&C[Ego=2:1,7] (Mod 12) Ego=3 Ego=4 Ego=1 Ego=5 Ego=6 Ego=2 Ego=7 Ego=8 Ego=1 Ego=9 Ego=10 Ego=2
Los: R[y/12]-4={(4-Ego)+5xI[Ego/3]+2xI[Ego/7]}&C[Ego=5:1,7]&C[Ego=6:4,10] (Mod 12) Ego=8 Ego=7 Ego=6 Ego=10 Ego=9 Ego=5 Ego=2 Ego=1 Ego=6 Ego=4 Ego=3 Ego=5
Hui=2+y (Mod 12) 2 3 4 5 6 7 8 9 10 11 0 1
Huk=10-y (Mod 12)10987654321011
Chi=y (Mod 12)01234567891011
Kok=2-y (Mod 12)21011109876543
Que/Kar=2+y (Mod 12)23456789101101
Lun=7-y (Mod 12)76543210111098
Hei=1-y (Mod 12)10111098765432
Yiu=7+y (Mod 12)78910110123456
Hoo=9+y (Mod 12)91011012345678
Psu=9-4xR[y/3] (Mod 12)951951951951
Goo=11-9xI[{R[y/12]}/3] (Mod 12)111111222555888
Gwa=7+3xI[{R[y/12]}/3] (Mod 12)777101010111444
Jfg=3xR[(y-1)/3]+2xI[{R[(y-1)/3]}/2] (Mod 12)803803803803
Fei=4+y+6xI[{R[y/12]+2}/3] (Mod 12)41101891056723
Yei=7+y (Mod 12)78910110123456
Kwy=2-3xR[y/4] (Mod 12)211852118521185
Lfo=8+9xR[y/4] (Mod 12)8521185211852 11
Cak=10-7xR[y/12] (Mod 12)10381611492705
Tdo=5+3xR[y/4] (Mod 12)581125811258112
Pik=6+4xR[y/12]+2xI[{R[y/12]}/3]+7xI[{R[y/12]}/4]-3xI[{R[y/12]}/6]+2xI[{R[y/12]}/7]+10xI[{R[y/12]}/9]-2xI[{R[y/12]}/11] (Mod 12)610287112871135
Sui=3+6xR[y/4]-3xI[{R[y/4]}/2] (Mod 12)390639063906
Yng=2+7xR[y/12]+3xI[{R[y/12]}/2]+9xI[{R[y/12]}/3]-6xI[{R[y/12]}/4] (Mod 12)29711310504861
Hoi=11-y (Mod 12)11109876543210
Por=5+R[y/12]-6x{R[y/12]-4} (Mod 12)50729411618310
Aat=4-y (Mod 12)43210111098765
Ysi=&C{R[y/12]=0, 1:10}&C{R[y/12]=3, 10:4}&C{R[y/12]=4, 8:1}&C{R[y/12]=5:2}&C{R[y/12]=9:9} (Mod 12) 10 10 - 4 1 2 - - 1 9 4 -
Nik=10-9xI[{R[y/12]}/3] (Mod 12)101010111444777
Hom=5+2xR[y/12]-9xI[{R[y/12]}/3]+6xI[{R[y/12]}/4]-6xI[{R[y/12]}/5]+I[{R[y/12]}/6]+6xI[{R[y/12]}/7]-6xI[{R[y/12]}/9]+2xI[{R[y/12]}/10]+8xI[{R[y/12]}/11] (Mod 12)57921060843111
Yuk=5-3xR[y/4] (Mod 12)521185211852118
Gak=3xI[{R[y/12]}/3] (Mod 12)336669990003
Kam=9xR[y/4] (Mod 12)096309630963
Can=9+R[(y+2)/6] (Mod 12)1101291011012910
Bau=3+R[(y+2)/6] (Mod 12)567834567834
Chm=9xR[y/4] (Mod 12)09630963096 3
Pan=1+9xR[y/4] (Mod 12)11074110741107 4
Yik=2+9xR[y/4] (Mod 12)21185211852118 5
Sik=3+9xR[y/4] (Mod 12)30963096309 6
Wah=4+9xR[y/4] (Mod 12)41107411074110 7
Cip=5+9xR[y/4] (Mod 12)52118521185211 8
Joi=6+9xR[y/4] (Mod 12)63096309630 9
Tst=7+9xR[y/4] (Mod 12)7411074110741 10
Zhi=8+9xR[y/4] (Mod 12)8521185211852 11
Ham=9+9xR[y/4] (Mod 12)96309630963 0
Yut=10+9xR[y/4] (Mod 12)10741107411074 1
Mon=11+9xR[y/4] (Mod 12)11852118521185 2
Kim=8+y (Mod 12)89101101234567
Zee=8+y (Mod 12)89101101234567
Fym=9+y (Mod 12)91011012345678
Sog=10+y (Mod 12)10110123456789
Sok=11+y (Mod 12)11012345678910
Kun=y (Mod 12)01234567891011
Sfu=1+y (Mod 12)12345678910110
Buy=2+y (Mod 12)23456789101101
Ark=3+y (Mod 12)34567891011012
Foo=4+y (Mod 12)45678910110123
Sit=5+y (Mod 12)56789101101234
Diu=6+y (Mod 12)67891011012345
Bag=7+y (Mod 12)78910110123456
Coi=8+y+m-A[h/2] (Mod 12) or Coi=S+8+y (Mod 12) & S=m-A[h/2] (Mod 12)S+8 (Mod 12)S+9 (Mod 12)S+10 (Mod 12)S+11 (Mod 12)S+0 (Mod 12)S+1 (Mod 12)S+2 (Mod 12)S+3 (Mod 12)S+4 (Mod 12)S+5 (Mod 12)S+6 (Mod 12)S+7 (Mod 12)
Sau=8+y+m+A[h/2] (Mod 12) or Sau=B+8+y (Mod 12) & B=m+A[h/2] (Mod 12)B+8 (Mod 12)B+9 (Mod 12)B+10 (Mod 12)B+11 (Mod 12)B+0 (Mod 12)B+1 (Mod 12)B+2 (Mod 12)B+3 (Mod 12)B+4 (Mod 12)B+5 (Mod 12)B+6 (Mod 12)B+7 (Mod 12)


Analysis of `Yearon', Timeon related to `Year' in A.D. y (Table 6)
Zone Number of `Yearon' / Numerology (N) in A.D. y: N=57+R[y/60] (Mod 60)N=1~10N=11~20N=21~30N=31~40N=41~50N=51~60
Chn=10-2xI[{56+R[y/60]}/10] (Mod 12)1086420
Chn2=11-2xI[{56+R[y/60]}/10] (Mod 12) or Chn2=Chn+1 (Mod 12)1197531
Chn & Chn210 & 118 & 96 & 74 & 52 & 30 & 1


The Yearon Formula
ExplanationThere are many `Timeons' which are directly related to year. They are named as `Fate Particle' of year or `yearon'. The codes of these `yearons' are:

1.`Ff'. 2.`Fk'. 3.`Fl'. 4.`Fj'. 5.`Inc'. 6.`Win'. 7.`Los'. 8.`Cfu', 9.`Luk'. 10.`Yeu'. 11.`Tor'. 12.`Fui'. 13.`Eut'. 14.`Chw'. 15.`Kkw'. 16.`Fkw'. 17.`Gkw'. 18.`Jkw'. 19.`Tyh'. 20.`Gun'. 21.`Fuk'. 22.`Tyn'. 23.`Hok'. 24.`Chu'. 25.`Har'. 26.`Yue'. 27.`Yim'. 28.`Jit'. 29.`Bos'. 30.`Lis'. 31.`Clu'. 32.`Sho'. 33.`Ckn'. 34.`Csu'. 35.`Lim'. 36.`Hee'. 37.`Cbm'. 38.`Bai'. 39.`Fbg'. 40.`Kfu'. 41.`Hop'. 42.`Cxy'. 43.`Hak'. 44.`Jwo'. 45.`Jwo2'. 46.`Jwo3'. 47.`Jwo4'. 48.`Jwo5'. 49.`Hui'. 50.`Huk'. 51.`Chi'. 52.`Kok'. 53.`Que/Kar'. 54.`Lun'. 55.`Hei'. 56.`Ham'. 57.`Hoo'. 58.`Cip'. 59.`Joi'. 60.`Tst'. 61.`Sha'. 62.`Psu'. 63.`Goo'. 64.`Gwa'. 65.`Jfg'. 66.`Fei'. 67.`Yee'. 68.`Yei'. 69.`Kwy'. 70.`Yng'. 71.`Hoi'. 72.`Por'. 73.`Pik'. 74.`Lfo'. 75.`Fym'. 76.`Ysi'. 77.`Aat'. 78.`Bau'. 79.`Can'. 80.`Sui'. 81.`Nik'. 82.`Hom'. 83.`Gau'. 84.`Yuk'. 85.`Gak'. 86.`Cak'. 87.`Tdo'. 88.`Kam'. 89.`Chm'. 90.`Pan'. 91.`Yik'. 92.`Wah'. 93.`Zhi'. 94.`Yut'. 95.`Sok'. 96.`Sik'. 97.`Sog'. 98.`Mon'. 99.`Kim'. 100.`Zee'. 101.`Kun'. 102.`Sfu'. 103.`Buy'. 104.`Ark'. 105.`Foo'. 106.`Sit'. 107.`Diu'. 108.`Bag'. 109.`Coi'. 110.`Sau'. 111.`Chn' & `Chn2'. The `Yearons' each has fantastic power and lays invisible stress with different influence on human destiny within a year. In general, `Ff' means `Academy' or `Announcement'. `Fk' means `Authority' or `Ratification'. `Fl' means `Income' or `Money'. `Fj' means `Adversity' or `Apprehension'. `Inc' means `Income' or `Salary'. `Win' means `Win' or `Gift'. `Los' means `Loss' or `Failure'. `Cfu' means `Wealth' or `Property'. `Luk' means `Power' or `Wealth'. `Yeu' means `Injury' or `Destruction'. `Tor' means `Injury' or `Destruction'. `Fui' means `Outstanding'. `Eut' means `Outstanding'. `Chw' means `Knowledge' or `Education'. `Kkw' means `Oration' or `Music'. `Fkw' means `Felicity' or `Longevity'. `Gkw' means `Religion' or `Fortune-telling'. `Jkw' means `Peerage' or `Power'. `Tyh' means `Official' or `Power'. `Gun' means `Promotion' or `Childbirth'. `Fuk' means `Felicity' or `Childbirth'. `Tyn' means `Grace'. `Hok' means `Learning' or `Hall'. `Chu' means `Eating' or `Food'. `Har' means `Aboard' or `Childbirth'. `Yue' means `Vehicle' or `Transportation'. `Yim' means `Lascivious', `Masturbation' or `Blood'. `Jit' means `Stop' or `Nil'. `Bos' means `Knowledge' or `Culture'. `Lis' means `Strength'. `Clu' means `Protection'. `Sho' means `Loss'. `Ckn' means `Rudeness'. `Csu' means `Inform' or `Declare'. `Lim' means `Sickness',`Loneliness' or `Flight'. `Hee' means `Gathering'. `Cbm' means `Sickliness'. `Bai' means `Bankruptcy'. `Fbg' means `ambush' or `trap'. `Kfu' means `Court' or `Litigation'. `Hop' means `Love' or `Marriage'. `Cxy' means `Suppression' or `Injury'. `Hak' means `Sick', `Adversity' or `Departure'. `Jwo' means `Natural disaster' or `War'. `Jwo2' means `Natural disaster' or `War'. `Jwo3' means `Natural disaster' or `War'. `Jwo4' means `Natural disaster' or `War'. `Hui' means `Weakness' or `Empty'. `Huk' means `Sorrow' or `Loss'. `Chi' means `Arts' or `Place'. `Kok' means `Design' or `Room'. `Que/Kar' means `Love' or `Marriage'. `Lun' means `Female', `Marriage' or `Blood'. `Hei' means `Happiness' or `Pregnancy'. `Ham' means `Lustful', `Masturbate' or `Adultery'. `Hoo' means `Consumption' or `Exhaustion'. `Cip' means `Robbery' or `Kidnapping'. `Joi' means `Calamity' or `Disaster'. `Tst' means `Smite' or `Kill'. `Sha' means `Gauze' or `Marriage'. `Psu' means `Puncture' or `Wounded'. `Goo' means `Loneliness' or `Detention'. `Gwa' means `Sleep alone' or `Detention'. `Jfg' means `Sexual dysfunction' or `No intercourse'. `Fei' means `Lonliness', `Plague' or `Flight'. `Yee' means `Cure' or `Disease'. `Yei' means `Medical treatment' or `Doctor'. `Kwy' means `Peerage'. `Yng' means `Wounded' or `Surgery'. `Hoi' means `Disaster' or `Sickness'. `Por' means `Puncture' or `Broken'. `Pik' means `Bang' or `Thunder'. `Lfo' means `Bombard', `Gunshot' or `Radiation'. `Fym' means `Fire', `Burning' or `Radiation'. `Ysi' means `Assassinate' or `Trap'. `Aat' means `Collapse' or `Death'. `Bau' means `Pregnancy', `Childbirth' or `Tumor'. `Can' means `Parturition', `Reincarnation' or `Tumor'. `Sui' means `Flood' or `Fluid'. `Nik' means `Water' or `Drown'. `Hom' means `Pitfall' or `Swallow'. `Gau' means `Bondage' or `Twist'. `Yuk' means `Detention' or `Imprison'. `Gak' means `Quarantine' or `Quarrel'. `Cak' means `Thief' or `Steal'. `Tdo' means `Thief' or `Steal'. `Kam' means `Wealth' or `Money'. `Chm' means `Brave' or `Fierce'. `Pan' means `Promotion' or `Travel'. `Yik' means `Ride' or `Motion'. `Wah' means `Religion' or `Fortune-telling'. `Zhi' means `Accusation'. `Yut' means `Smite' or `Kill'. `Sok' means `Seizing', `Bondage', `Rope' or `Umbilical cord'. `Sik' means `Rest' or `Dead'. `Sog' means `Death' or `Mourning'. `Mon' means `Death' or `Loss'. `Kim' means `War' or `Wound'. `Zee' means `Fall down' or `Dead body'. `Kun' means `Police' or `Litigation'. `Sfu' means `Death order' or `Sick'. `Buy' means `Loss' or `Destruction'. `Ark' means `Danger' or `Disaster'. `Foo' means `Sick' or `Murder'. `Sit' means `Talk', `Quarrel', `Eat' or `Lick'. `Diu' means `Condolence' or `Console'. `Bag' means `Influenza' or `Sick'. `Coi' means `Genius' or `Clever'. `Sau' means `Life limit'. `Chn' & `Chn2' mean `Empty', `Loss' or `Extermination'.

There are five Earth's Great Disaster Formulae (Jwo, Jwo2, Jwo3, Jwo4 & Jwo5) for year `y' in B.C. whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. The Earth's Great Disaster Formulae are:

Jwo={Jwo=3-3xR[y/10]+8xI[{R[y/10]}/2]+2xI[{R[y/10]}/3]-4xI[{R[y/10]}/4]+2xI[{R[y/10]}/5]-2xI[{R[y/10]}/6]+4xI[{R[y/10]}/8] (Mod 12) & Z=9-y (Mod 12)}&C[Jwo<>Z:Jwo=i]. This formula is derived from `Tor' meets `Opposite Zone' of `Year Root' (Z), or `Year Stem' (U) meets `Timeons' of `Sei', `Moo' or `Jut'.

Jwo2={Jwo2=5-3xR[y/10]+8xI[{R[y/10]}/2]+2xI[{R[y/10]}/3]-4xI[{R[y/10]}/4]+2xI[{R[y/10]}/5]-2xI[{R[y/10]}/6]-8xI[{R[y/10]}/8] (Mod 12) & Z=9-y (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. This formula is derived from `Yeu' meets `Opposite Zone' of `Year Root' (Z), or `Year Stem' (U) meets `Timeons' of `Sei', `Moo' or `Jut'.

Jwo3={Jwo3=10-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) & Yeu=3-y (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. This formula is derived from `Yeu' meets `Year Root' (Z), or `Year Stem' (U) meets `Timeons' of `Sei', `Moo' or `Jut'.

Jwo4={Jwo4=8-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) & Tor=3-y (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. This formula is derived from `Tor' meets `Year Root' (Z), or `Year Stem' (U) meets `Timeons' of `Sei', `Moo' or `Jut'.

Jwo5={Jwo5=8-y (Mod 10) & Z=9-y (Mod 12)}&C[(Jwo5<>2,10 & Z<>2,4,5,6,8,9,11):Jwo5=i]. This formula is derived from `Lfo', `Pik' or `Yng' meets `Year Root' (Z).

There are five Earth's Great Disaster Formulae (Jwo, Jwo2, Jwo3, Jwo4 & Jwo5) for year `y' in A.D. whereas `i' is an imaginary number which means `Unknown' or `Indeterminate'. The Earth's Great Disaster Formulae are:

Jwo={Jwo=3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo<>Z:Jwo=i]. This formula is derived from `Tor' meets `Opposite Zone' of `Year Root' (Z), or `Year Stem' (U) meets `Timeons' of `Sei', `Moo' or `Jut'.

Jwo2={Jwo2=2+3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. This formula is derived from `Yeu' meets `Opposite Zone' of `Year Root' (Z), or `Year Stem' (U) meets `Timeons' of `Sei', `Moo' or `Jut'.

Jwo3={Jwo3=9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) & Yeu=2+y (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. This formula is derived from `Yeu' meets `Year Root' (Z), or `Year Stem' (U) meets `Timeons' of `Sei', `Moo' or `Jut'.

Jwo4={Jwo4=7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) & Tor=2+y (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. This formula is derived from `Tor' meets `Year Root' (Z), or `Year Stem' (U) meets `Timeons' of `Sei', `Moo' or `Jut'.

Jwo5={Jwo5=7+y (Mod 10) & Z=8+y (Mod 12)}&C[(Jwo5<>6,8 & Z<>2,4,5,6,8,9,11):Jwo5=i]. This formula is derived from `Lfo', `Pik' or `Yng' meets `Year Root' (Z).

The Yearon Formulae for year `y' in B.C. are:

Sen=5xR[y/10]-I[{R[y/10]}/2]-9xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12).

Muk=11-5xR[y/10]-7xI[{R[y/10]}/2]+2xI[{R[y/10]}/3]+5xI[{R[y/10]}/4]+9xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12).

Dai=10-3xR[y/10]+3xI[{R[y/10]}/2]+3xI[{R[y/10]}/3]-3xI[{R[y/10]}/6]+9xI[{R[y/10]}/9] (Mod 12).

Lam=9-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12).

Won=8+R[y/10]-5xI[{R[y/10]}/2]+5xI[{R[y/10]}/4]-2xI[{R[y/10]}/5]+7xI[{R[y/10]}/8] (Mod 12).

Suy=7+3xR[y/10]-9xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12).

Bam=6+5xR[y/10]-I[{R[y/10]}/2]-9xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12).

Sei=5-5xR[y/10]+7xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12).

Moo=4-3xR[y/10]+3xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12).

Jut=3-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12).

Toi=2+R[y/10]+7xI[{R[y/10]}/2]-9xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12).

Yeo=1+3xR[y/10]+3xI[{R[y/10]}/2]-9xI[{R[y/10]}/4]-3xI[{R[y/10]}/8] (Mod 12).

The Yearon Formulae for year `y' in A.D. are:

Sen=5-5xR[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Muk=6+5xR[y/10]-7xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Dai=7+3xR[y/10]-3xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Lam=8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Won=9-R[y/10]-7xI[{R[y/10]}/2]+9xI[{R[y/10]}/8] (Mod 12).

Suy=10-3xR[y/10]-3xI[{R[y/10]}/2]+9xI[{R[y/10]}/8] (Mod 12).

Bam=11-5xR[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Sei=5xR[y/10]-7xI[{R[y/10]}/2]+9xI[{R[y/10]}/8] (Mod 12).

Moo=1+3xR[y/10]-3xI[{R[y/10]}/2]+9xI[{R[y/10]}/8] (Mod 12).

Jut=2+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Toi=3-R[y/10]+5xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Yeo=4-3xR[y/10]+9xI[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

The Yearon Formulae for year in `y' A.D. are:

Ff=Chzon/Houron/Monthon &C{R=R[y/10]: R=0:Fuo, R=1:Kk, R=2:Fu, R=3:Ym, R=4:Mo, R=5:Chz, R=6:Ch, R=7:Ke, R=8:Bu, R=9:Le} or Ff=Chzon/Houron/Monthon &C[U=1:Mo, U=2:Chz, U=3:Ch, U=4:Ke, U=5:Bu, U=6:Le, U=7:Fuo, U=8:Kk, U=9:Fu, U=10:Ym].

Fk=Chzon &C{R=R[y/10]: R=0:Mo, R=1:Ta, R=2:Chz, R=3:Ku, R=4:Pr, R=5:Le, R=6:Ke, R=7:Tg, R=8:Ym, R=9:Tm} or Fk=Chzon &C[U=1:Pr, U=2:Le, U=3:Ke, U=4:Tg, U=5:Ym, U=6:Tm, U=7:Mo, U=8:Ta, U=9:Chz, U=10:Ku].

Fl=Chzon &C{R=R[y/10]: R=0:Ta, R=1:Ku, R=2:Le, R=3:Pr, R=4:Lm, R=5:Ke, R=6:Tg, R=7:Ym, R=8:Tm, R=9:Mo} or Fl=Chzon &C[U=1:Lm, U=2:Ke, U=3:Tg, U=4:Ym, U=5:Tm, U=6:Mo, U=7:Ta, U=8:Ku, U=9:Le, U=10:Pr].

Fj=Chzon/Houron &C{R=R[y/10]: R=0:Tg, R=1:Ch, R=2:Mo, R=3:Tm, R=4:Ta, R=5:Ym, R=6:Lm, R=7:Ku, R=8:Ke, R=9:Kk} or Fj=Chzon/Houron &C[U=1:Ta, U=2:Ym, U=3:Lm, U=4:Ku, U=5:Ke, U=6:Kk, U=7:Tg, U=8:Ch, U=9:Mo, U=10:Tm].

Inc: R[y/10]=(Ego+5)&C{R[Ego/2]=0:-2} (Mod 10).

Win: R[y/10]=Ego+4 (Mod 10).

Los: R[y/10]=(Ego-1)&C{R[Ego/2]=1:+2} (Mod 10).

Cfu=7+3xI[{R[y/10]}/2]-3xI[{R[y/10]}/4]-9xI[{R[y/10]}/8] (Mod 12).

Luk=8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Yeu=9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Tor=7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

`Yeu' & `Tor' are interchangeable in pairs. If Yeu=9-R[y/10]+5xI[R[y/10]/2]-3xI[R[y/10]/8] (Mod 12) then Tor=7+3xR[y/10]-3xI[R[y/10]/2]-3xI[R[y/10]/8] (Mod 12).

[Remarks: `Yeu' and `Tor' must be interchanged in pairs. The values of `Yeu' and `Tor' for even solar year `y' are same as the original pairs.]

Fui=1+R[y/10]+I[{R[y/10]}/3]+I[{R[y/10]}/4]-I[{R[y/10]}/6]+I[{R[y/10]}/7]-3xI[{R[y/10]}/9] (Mod 12).

Eut=7-R[y/10]-I[{R[y/10]}/3]-I[{R[y/10]}/4]+I[{R[y/10]}/6]-I[{R[y/10]}/7]+3xI[{R[y/10]}/9] (Mod 12).

Chw=11+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Kkw=3-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/8] (Mod 12).

Fkw=4+R[y/10]-2xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]-2xI[{R[y/10]}/5]+2xI[{R[y/10]}/6]+8xI[{R[y/10]}/7]+2xI[{R[y/10]}/10] (Mod 12).

Gkw={2+R[y/10]+I[{R[y/10]}/2]+2xI[{R[y/10]}/3]-10xI[{R[y/10]}/4]+5xI[{R[y/10]}/5]-I[{R[y/10]}/6]-7xI[{R[y/10]}/7]}&C[R[y/10]=8:4,10]&C[R[y/10]=9:1,7] (Mod 12).

Jkw={11-9xR[y/2]}&C{R[y/10]>3:5+3xR[y/2]} (Mod 12).

Tyh=6-R[y/10]+5xI[R[y/10]/2] (Mod 12).

Gun=11-2xR[y/10]+3xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]-I[{R[y/10]}/5]+2xI[{R[y/10]}/6]-I[{R[y/10]}/7]-2xI[{R[y/10]}/9] (Mod 12).

Fuk=6-R[y/10]+2xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]+3xI[{R[y/10]}/6]-4xI[{R[y/10]}/8]-8xI[{R[y/10]}/9] (Mod 12).

Tyn=11-3xR[y/10]+I[{R[y/10]}/2]+2xI[{R[y/10]}/3]-I[{R[y/10]}/4]+9xI[{R[y/10]}/6]+I[{R[y/10]}/7]+2xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12).

Hok=5-5xR[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Chu=2+4xR[y/10]-I[{R[y/10]}/2]-2xI[{R[y/10]}/3]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/5]+5xI[{R[y/10]}/6]+I[{R[y/10]}/7]-3xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12).

Har=4-R[y/10]+9xI[{R[y/10]}/2]-8xI[{R[y/10]}/3]-I[{R[y/10]}/4]+2xI[{R[y/10]}/5]-3xI[{R[y/10]}/6]+2xI[{R[y/10]}/7]+2xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12).

Yue=10+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

Yim=10-R[y/10]+4xI[{R[y/10]}/2]-3xI[{R[y/10]}/3]-5xI[{R[y/10]}/4]+3xI[{R[y/10]}/5]-8xI[{R[y/10]}/6]+8xI[{R[y/10]}/7]-I[{R[y/10]}/8]+4xI[{R[y/10]}/9] (Mod 12).

Jit=7-2xR[y/10]+9xI[{R[y/10]}/4]+3xI[{R[y/10]}/8]-I[{R[y/10]}/9] (Mod 12).

Bos=8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

The standard formula is: Lis={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+1, R[(SC+y)/2]=1:-1}] (Mod 12) or Lis=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Lis=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

The standard formula is: Clu={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+2, R[(SC+y)/2]=1:-2}] (Mod 12) or Clu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:10+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Clu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:6+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

The standard formula is: Sho={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+3, R[(SC+y)/2]=1:-3}] (Mod 12) or Sho=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:11+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Sho=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:5+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

The standard formula is: Ckn={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+4, R[(SC+y)/2]=1:-4}] (Mod 12) or Ckn=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Ckn=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:4+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

The standard formula is: Csu={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+5, R[(SC+y)/2]=1:-5}] (Mod 12) or Csu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:1+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Csu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:3+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

Lim=2+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12).

The standard formula is: Hee={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+7, R[(SC+y)/2]=1:-7}] (Mod 12) or Hee=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:3+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Hee=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:1+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

The standard formula is: Cbm={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+8, R[(SC+y)/2]=1:-8}] (Mod 12) or Cbm=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:4+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Cbm=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

The standard formula is: Bai={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+9, R[(SC+y)/2]=1:-9}] (Mod 12) or Bai=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:5+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Bai=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:11+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

The standard formula is: Fbg={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+10, R[(SC+y)/2]=1:-10}] (Mod 12) or Fbg=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:6+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Fbg=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:10+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

The standard formula is: Kfu={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+11, R[(SC+y)/2]=1:-11}] (Mod 12) or Kfu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=0}:7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12) and Kfu=&C[{SC:m=0, f=1 & R[(SC+y)/2]=1}:9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]] (Mod 12).

Hui=2+y (Mod 12).

Huk=10-y (Mod 12).

Chi=y (Mod 12).

Kok=2-y (Mod 12).

Que/Kar=2+y (Mod 12).

Lun=7-y (Mod 12).

Hei=1-y (Mod 12).

Yiu=7+y (Mod 12).

Hoo=9+y (Mod 12).

Psu=9-4xR[y/3] (Mod 12).

Goo=11-9xI[{R[y/12]}/3] (Mod 12).

Gwa=7+3xI[{R[y/12]}/3] (Mod 12).

Jfg=3xR[(y-1)/3]+2xI[{R[(y-1)/3]}/2] (Mod 12).

Fei=4+y+6xI[{R[y/12]+2}/3] (Mod 12).

Yei=7+y (Mod 12).

Kwy=2-3xR[y/4] (Mod 12).

Lfo=8+9xR[y/4] (Mod 12).

Cak=10-7xR[y/12] (Mod 12).

Tdo=5+3xR[y/4] (Mod 12).

Pik=6+4xR[y/12]+2xI[{R[y/12]}/3]+7xI[{R[y/12]}/4]-3xI[{R[y/12]}/6]+2xI[{R[y/12]}/7]+10xI[{R[y/12]}/9]-2xI[{R[y/12]}/11] (Mod 12).

Sui=3+6xR[y/4]-3xI[{R[y/4]}/2] (Mod 12).

Yng=2+7xR[y/12]+3xI[{R[y/12]}/2]+9xI[{R[y/12]}/3]-6xI[{R[y/12]}/4] (Mod 12).

Hoi=11-R[y/12] (Mod 12).

Por=5+R[y/12]-6x{R[y/12]-4} (Mod 12).

Aat=4-y (Mod 12).

Ysi=&C{R[y/12]=0, 1:10}&C{R[y/12]=3, 10:4}&C{R[y/12]=4, 8:1}&C{R[y/12]=5:2}&C{R[y/12]=9:9} (Mod 12).

Nik=10-9xI[{R[y/12]}/3] (Mod 12).

Hom=5+2xR[y/12]-9xI[{R[y/12]}/3]+6xI[{R[y/12]}/4]-6xI[{R[y/12]}/5]+I[{R[y/12]}/6]+6xI[{R[y/12]}/7]-6xI[{R[y/12]}/9]+2xI[{R[y/12]}/10]+8xI[{R[y/12]}/11] (Mod 12).

Yuk=5-3xR[y/4] (Mod 12).

Gak=3xI[{R[y/12]}/3] (Mod 12).

Ysi=&C{R[y/12]=0, 1:10}&C{R[y/12]=3, 10:4}&C{R[y/12]=4, 8:1}&C{R[y/12]=5:2}&C{R[y/12]=9:9} (Mod 12)¡C

Kam=9xR[y/4] (Mod 12).

Can=9+R[(y+2)/6] (Mod 12).

Bau=3+R[(y+2)/6] (Mod 12).

Chm=9xR[y/4] (Mod 12).

Pan=1+9xR[y/4] (Mod 12).

Yik=2+9xR[y/4] (Mod 12).

Sik=3+9xR[y/4] (Mod 12).

Wah=4+9xR[y/4] (Mod 12).

Cip=5+9xR[y/4] (Mod 12).

Joi=6+9xR[y/4] (Mod 12).

Tst=7+9xR[y/4] (Mod 12).

Zhi=8+9xR[y/4] (Mod 12).

Ham=9+9xR[y/4] (Mod 12).

Yut=10+9xR[y/4] (Mod 12).

Mon=11+9xR[y/4] (Mod 12).

Kim=8+y (Mod 12).

Zee=8+y (Mod 12).

Fym=9+y (Mod 12).

Sog=10+y (Mod 12).

Sok=11+y (Mod 12).

Kun=y (Mod 12).

Sfu=1+y (Mod 12).

Buy=2+y (Mod 12).

Ark=3+y (Mod 12).

Foo=4+y (Mod 12).

Sit=5+y (Mod 12).

Diu=6+y (Mod 12).

Bag=7+y (Mod 12).

Coi=S+8+y (Mod 12) or Coi=8+y+m-A[h/2] (Mod 12).

Sau=B+8+y (Mod 12) or Sau=8+y+m+A[h/2] (Mod 12).

Chn & Chn2: Chn=10-2xI[{56+R[y/60]}/10] (Mod 12) & Chn2=11-2xI[{56+R[y/60]}/10] (Mod 12) or Chn2=Chn+1 (Mod 12).

`U' is the alphabetical order of the stem of year and `Z' is the root of year. `Ego' is the `Stem' of date at birth. `SC' is the `Sex Code' of a person. The `Sex Code' of male is `M' and m=0. The `Sex Code' of female is `F' and f=1. In general, the value of `m' is assigned to be `0' and the value of `f' is `1'. The `Sex Code' of transsexual is the original sex at birth. The `Sex Code' of hermaphrodite (H), people have neutral sex (N) or genderless (N) could be either `M' or `F'. In this case, both sex codes should be used to check out which one is more accurate. `S' is the zone which marks the position of `Soul'. `B' is the zone which marks the position of `Body'. `y' is the year reckoning in a solar calender. `&C[ ]' is a conditional function of an event such that the mathematical expression after the `:' sign must be operated if the event occurs (i.e. The conditional `&C[ ]' becomes true.). `R[m/n]' is a remainder function such that it takes the remainder of `m' divided by `n'. `n' is a natural number. Natural numbers are 1,2,3,4,5,¡K¡K. Zero is not a natural number. `I[n]' is an integer function such that it takes the integral part of number `n' without rounding up the number. `Yearon=(Mod 12)' is a modulated function such that if Yearon>11 then `Yearon' becomes `Yearon-12' and if Yearon<0 then `Yearon' becomes `Yearon+12'. Thus, the value range of `Yearon=(Mod 12)' is from 0 to 11.

Example of Formula: Jwo, Jwo2, Jwo3, Jwo4 & Jwo5 Examples of determining whether there is a great disaster on earth in a certain year are as follows.

Example I: When y=A.D.2012, U=I=9, Z=4.

When y=A.D.2012, subsitute y=2012 in the formula for year in A.D., Jwo={Jwo=3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3xR[2012/10]+4xI[{R[2012/10]}/2]-2xI[{R[2012/10]}/3]+2xI[{R[2012/10]}/6]-2xI[{R[2012/10]}/7]+4xI[{R[2012/10]}/8] (Mod 12) & Z=8+2012 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3x2+4xI[2/2]-2xI[2/3]+2xI[2/6]-2xI[2/7]+4xI[2/8] (Mod 12) & Z=2020 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=6+4xI[1]-2xI[0.666]+2xI[0.333]-2xI[0.285]+4xI[0.25] (Mod 12) & Z=2020-168x12}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=6+4x1-2x0+2x0-2x0+4x0 (Mod 12) & Z=4}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=10 (Mod 12) & Z=4}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=10 & Z=4}&C[Z1<>Z:Jwo=i]. Jwo=i. The result means that this formula cannot determine whether A.D.2012 is a year of great disaster or not. The other formulae, Jwo2, Jwo3 & Jwo4, should be used to find out the result.

When y=A.D.2012, subsitute y=2012 in the formula for year in A.D., Jwo2={Jwo2=2+3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3xR[2012/10]+4xI[{R[2012/10]}/2]-2xI[{R[2012/10]}/3]+2xI[{R[2012/10]}/6]-2xI[{R[2012/10]}/7]+4xI[{R[2012/10]}/8] (Mod 12) & Z=8+2012 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3x2+4xI[2/2]-2xI[2/3]+2xI[2/6]-2xI[2/7]+4xI[2/8] (Mod 12) & Z=2020 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+6+4xI[1]-2xI[0.666]+2xI[0.333]-2xI[0.285]+4xI[0.25] (Mod 12) & Z=2020-168x12}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=8+4x1-2x0+2x0-2x0+4x0 (Mod 12) & Z=4}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=12 (Mod 12) & Z=4}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=12-12 & Z=4}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=0 & Z=4}&C[Jwo2<>Z:Jwo2=i]. Jwo2=i. The result means that this formula cannot determine whether A.D.2012 is a year of great disaster or not. The other formulae, Jwo3 & Jwo4, should be used to find out the result.

When y=A.D.2012, subsitute y=2012 in the formula for year in A.D., Jwo3={Jwo3=9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) & Yeu=2+y (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=9+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12) & Yeu=2+2012 (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=9+2+I[2/2]-3xI[2/8] (Mod 12) & Yeu=2014 (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=11+I[1]-3xI[0.25] (Mod 12) & Yeu=2014-167x12}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=11+1-3x0 (Mod 12) & Yeu=10}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=12 (Mod 12) & Yeu=10}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=12-12 & Yeu=10}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=0 & Yeu=10}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3=i. The result means that this formula cannot determine whether A.D.2012 is a year of great disaster or not. The last formulae, Jwo4, should be used to find out the result.

When y=A.D.2012, subsitute y=2012 in the formula for year in A.D., Jwo4={Jwo4=7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12) & Tor=2+y (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=7+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12) & Tor=2+2012 (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=7+2+I[2/2]-3xI[2/8] (Mod 12) & Tor=2014 (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=9+I[1]-3xI[0.25] (Mod 12) & Tor=2014-167x12}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=9+1-3x0 (Mod 12) & Tor=10}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=10 (Mod 12) & Tor=10}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=10 & Tor=10}&C[Jwo4<>Tor:Jwo4=i]. Jwo4=Tor=10. A great undersea earthquake struck near the Indonesian province of Aceh in A.D.2012.

Example II: When y=A.D.1945, U=B=2, Z=9.

When y=A.D.1945, subsitute y=1945 in the formula for year in A.D., Jwo={Jwo=3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3xR[1945/10]+4xI[{R[1945/10]}/2]-2xI[{R[1945/10]}/3]+2xI[{R[1945/10]}/6]-2xI[{R[1945/10]}/7]+4xI[{R[1945/10]}/8] (Mod 12) & Z=8+1945 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3x5+4xI[5/2]-2xI[5/3]+2xI[5/6]-2xI[5/7]+4xI[5/8] (Mod 12) & Z=1953 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=15+4xI[2.5]-2xI[1.666]+2xI[0.833]-2xI[0.714]+4xI[0.625] (Mod 12) & Z=1953-162x12}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=15+4x2-2x1+2x0-2x0+4x0 (Mod 12) & Z=9}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=23 (Mod 12) & Z=9}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=23-12 & Z=9}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=9 & Z=9}&C[Jwo<>Z:Jwo=i]. Jwo=Z=9. This means that A.D.1945 is a year of great disaster on earth. In fact, atomic bombings were dropped to ruin Hiroshima and Nagasaki in Japan by the United States of America (U.S.A.) in A.D.1945.

Example III: When y=A.D.1976, U=C=3, Z=4.

When y=A.D.1976, subsitute y=1976 in the formula for year in A.D., Jwo={Jwo=3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3xR[1976/10]+4xI[{R[1976/10]}/2]-2xI[{R[1976/10]}/3]+2xI[{R[1976/10]}/6]-2xI[{R[1976/10]}/7]+4xI[{R[1976/10]}/8] (Mod 12) & Z=8+1976 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3x6+4xI[6/2]-2xI[6/3]+2xI[6/6]-2xI[6/7]+4xI[6/8] (Mod 12) & Z=1984 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=18+4xI[3]-2xI[2]+2xI[1]-2xI[0.8571]+4xI[0.75] (Mod 12) & Z=1984-165x12}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=18+4x3-2x2+2x1-2x0+4x0 (Mod 12) & Z=4}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=18+12-4+2-0+0 (Mod 12) & Z=4}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=28 (Mod 12) & Z=4}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=28-12x2 & Z=4}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=4 & Z=4}&C[Jwo<>Z:Jwo=i]. Jwo=Z=4. This means that A.D.1976 is a year of great disaster on earth. In fact, a great earthquake ruined Tangshan in China in A.D.1976.

Example IV: When y=A.D.2011, U=H=8, Z=3.

When y=A.D.2011, subsitute y=2011 in the formula for year in A.D., Jwo={Jwo=3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3xR[2011/10]+4xI[{R[2011/10]}/2]-2xI[{R[2011/10]}/3]+2xI[{R[2011/10]}/6]-2xI[{R[2011/10]}/7]+4xI[{R[2011/10]}/8] (Mod 12) & Z=8+2011 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3x1+4xI[1/2]-2xI[1/3]+2xI[1/6]-2xI[1/7]+4xI[1/8] (Mod 12) & Z=2019 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3x1+4xI[0.5]-2xI[0.3333]+2xI[0.1666]-2xI[0.1428]+4xI[0.125] (Mod 12) & Z=2019-168x12}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3+4x0-2x0+2x0-2x0+4x0 (Mod 12) & Z=3}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3 (Mod 12) & Z=3}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3 & Z=3}&C[Jwo<>Z:Jwo=i]. Jwo=Z=3. This means that A.D.2011 is a year of great disaster on earth. In fact, a great earthquake and tsunami occurred in Tohoku of Japan in A.D.2011.

Example V: When y=A.D.1941, U=H=8, Z=5.

When y=A.D.1941, subsitute y=1941 in the formula for year in A.D., Jwo2={Jwo2=2+3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3xR[1941/10]+4xI[{R[1941/10]}/2]-2xI[{R[1941/10]}/3]+2xI[{R[1941/10]}/6]-2xI[{R[1941/10]}/7]+4xI[{R[1941/10]}/8] (Mod 12) & Z=8+1941 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3x1+4xI[1/2]-2xI[1/3]+2xI[1/6]-2xI[1/7]+4xI[1/8] (Mod 12) & Z=1949 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3+4xI[0.5]-2xI[0.3333]+2xI[0.1666]-2xI[0.1428]+4xI[0.125] (Mod 12) & Z=1949-162x12}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3+4x0-2x0+2x0-2x0+4x0 (Mod 12) & Z=5}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=5 (Mod 12) & Z=5}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=5 & Z=5}&C[Jwo2<>Z:Jwo2=i]. Jwo2=Z=5. This means that A.D.1941 is a year of great disaster on earth. In fact, invasion of Soviet Union (U.S.S.R) by Germany and the attack on Pearl Harbor by Japan occurred in A.D.1941.

Example VI: When y=A.D.1950, U=G=7, Z=2.

When y=A.D.1950, subsitute y=1950 in the formula for year in A.D., Jwo2={Jwo2=2+3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3xR[1950/10]+4xI[{R[1950/10]}/2]-2xI[{R[1950/10]}/3]+2xI[{R[1950/10]}/6]-2xI[{R[1950/10]}/7]+4xI[{R[1950/10]}/8] (Mod 12) & Z=8+1950 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3x0+4xI[0/2]-2xI[0/3]+2xI[0/6]-2xI[0/7]+4xI[0/8] (Mod 12) & Z=1958 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+4xI[0]-2xI[0]+2xI[0]-2xI[0]+4xI[0] (Mod 12) & Z=1958-163x12}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+4x0-2x0+2x0-2x0+4x0 (Mod 12) & Z=2}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2 (Mod 12) & Z=2}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2 & Z=2}&C[Jwo2<>Z:Jwo2=i]. Jwo2=Z=2. This means that A.D.1950 is a year of great disaster on earth. In fact, Korean War occurred in A.D.1950.

Example VII: When y=A.D.2004, U=A=1, Z=8.

When y=A.D.2004, subsitute y=2004 in the formula for year in A.D., Jwo2={Jwo2=2+3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3xR[2004/10]+4xI[{R[2004/10]}/2]-2xI[{R[2004/10]}/3]+2xI[{R[2004/10]}/6]-2xI[{R[2004/10]}/7]+4xI[{R[2004/10]}/8] (Mod 12) & Z=8+2004 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+3x4+4xI[4/2]-2xI[4/3]+2xI[4/6]-2xI[4/7]+4xI[4/8] (Mod 12) & Z=2012 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=2+12+4xI[2]-2xI[1.3333]+2xI[0.6666]-2xI[0.5714]+4xI[0.5] (Mod 12) & Z=2012-167x12}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=14+4x2-2x1+2x0-2x0+4x0 (Mod 12) & Z=8}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=20 (Mod 12) & Z=8}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=20-12 & Z=8}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=8 & Z=8}&C[Jwo2<>Z:Jwo2=i]. Jwo2=Z=8. This means that A.D.2004 is a year of great disaster on earth. In fact, Indian Ocean earthquake and tsunami occurred in A.D.2004.

Example VIII: When y=A.D.79, U=F=6, Z=3.

When y=A.D.79, subsitute y=79 in the formula for year in A.D., Jwo5={Jwo5=7+y (Mod 10) & Z=8+y (Mod 12)}&C[(Jwo5<>6,8 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5={Jwo5=7+79 (Mod 10) & Z=8+79 (Mod 12)}&C[(Jwo5<>6,8 & Z<>2,4,5,6,8,9,11):Jwo5 =i]. Jwo5={Jwo5=86 (Mod 10) & Z=87 (Mod 12)}&C[(Jwo5<>6,8 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5={Jwo5=(86-8x10) & Z=87-7x12}&C[(Jwo5<>6,8 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5={Jwo5=6 & Z=3}&C[(Jwo5<>6,8 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5=6 & Z=3. Since `Jwo5=6' in the conditional of `&C[Jwo5<>6,8 & Z<>2,4,5,6,8,9,11]' is false, `Jwo5' is not equalt to `i'. This means that great natural disasters or war occur on earth are not imaginary. A.D.79 is a year of great natural disasters or war. In fact, eruption of Mount Vesuvius in Italy buried the town of Pompeii in A.D.79 and all ihabitants died.

Example IX: When y=A.D.2020, U=I=7, Z=0.

When y=A.D.2020, subsitute y=2020 in the formula for year in A.D., Jwo={Jwo=3xR[y/10]+4xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]+2xI[{R[y/10]}/6]-2xI[{R[y/10]}/7]+4xI[{R[y/10]}/8] (Mod 12) & Z=8+y (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3xR[2020/10]+4xI[{R[2020/10]}/2]-2xI[{R[2020/10]}/3]+2xI[{R[2020/10]}/6]-2xI[{R[2020/10]}/7]+4xI[{R[2020/10]}/8] (Mod 12) & Z=8+2020 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3x0+4xI[0/2]-2xI[0/3]+2xI[0/6]-2xI[0/7]+4xI[0/8] (Mod 12) & Z=2028 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=0+4xI[0]-2xI[0]+2xI[0]-2xI[0]+4xI[0] (Mod 12) & Z=2028-169x12}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=0+4x0-2x0+2x0-2x0+4x0 (Mod 12) & Z=0}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=0 (Mod 12) & Z=0}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=0 & Z=0}&C[Jwo<>Z:Jwo=i]. Jwo=Z=0. Coronal virus (COVID-19) became pandemic in A.D.2020 and killed more than one million people.

Example X: When y=264B.C., U=D=4, Z=9.

When y=264B.C., subsitute y=264 in the formula for year in B.C., Jwo={Jwo=3-3xR[y/10]+8xI[{R[y/10]}/2]+2xI[{R[y/10]}/3]-4xI[{R[y/10]}/4]+2xI[{R[y/10]}/5]-2xI[{R[y/10]}/6]+4xI[{R[y/10]}/8] (Mod 12) & Z=9-y (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3-3xR[264/10]+8xI[{R[264/10]}/2]+2xI[{R[264/10]}/3]-4xI[{R[264/10]}/4]+2xI[{R[264/10]}/5]-2xI[{R[264/10]}/6]+4xI[{R[264/10]}/8] (Mod 12) & Z=9-264 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=3-3x4+8xI[4/2]+2xI[4/3]-4xI[4/4]+2xI[4/5]-2xI[4/6]+4xI[4/8] (Mod 12) & Z= -255 (Mod 12)}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo= -9+8xI[2]+2xI[1.3333]-4xI[1]+2xI[0.8]-2xI[0.6666]+4xI[0.5] (Mod 12) & Z=22x12-255}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo= -9+8x2+2x1-4x1+2x0-2x0+4x0 (Mod 12) & Z=9}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=5 (Mod 12) & Z=9}&C[Jwo<>Z:Jwo=i]. Jwo={Jwo=5 & Z=9}&C[Jwo<>Z:Jwo=i]. Jwo=i. The result means that this formula cannot determine whether 264B.C is a year of great disaster or not. The other formulae, Jwo2, Jwo3, Jwo4 & Jwo5, should be used to find out the result.

When y=264B.C., subsitute y=264 in the formula for year in B.C., Jwo2={Jwo2=5-3xR[y/10]+8xI[{R[y/10]}/2]+2xI[{R[y/10]}/3]-4xI[{R[y/10]}/4]+2xI[{R[y/10]}/5]-2xI[{R[y/10]}/6]-8xI[{R[y/10]}/8] (Mod 12) & Z=9-y (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=5-3xR[264/10]+8xI[{R[264/10]}/2]+2xI[{R[264/10]}/3]-4xI[{R[264/10]}/4]+2xI[{R[264/10]}/5]-2xI[{R[264/10]}/6]-8xI[{R[264/10]}/8] (Mod 12) & Z=9-264 (Mod 12)}&C[Jwo2<>Z:Jwo2=i]. Jwo2={Jwo2=5-3x4+8xI[4/2]+2xI[4/3]-4xI[4/4]+2xI[4/5]-2xI[4/6]+4xI[4/8] (Mod 12) & Z= -255 (Mod 12)}&C[Jwo2<>Z:Jwo=i]. Jwo2={Jwo2= -7+8xI[2]+2xI[1.3333]-4xI[1]+2xI[0.8]-2xI[0.6666]+4xI[0.5] (Mod 12) & Z=22x12-255}&C[Jwo2<>Z:Jwo=i]. Jwo2={Jwo2= -7+8x2+2x1-4x1+2x0-2x0+4x0 (Mod 12) & Z=9}&C[Jwo2<>Z:Jwo=i]. Jwo2={Jwo2=7 (Mod 12) & Z=9}&C[Jwo2<>Z:Jwo=i]. Jwo2={Jwo2=7 & Z=9}&C[Jwo2<>Z:Jwo=i]. Jwo2=i. The result means that this formula cannot determine whether 264B.C is a year of great disaster or not. The other formulae, Jwo3, Jwo4 & Jwo5, should be used to find out the result.

When y=264B.C., subsitute y=264 in the formula for year in B.C., Jwo3={Jwo3=10-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) & Yeu=3-y (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=10-R[264/10]-I[{R[264/10]}/2]+3xI[{R[264/10]}/4]+9xI[{R[264/10]}/8] (Mod 12) & Yeu=3-264 (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=10-4-I[4/2]+3xI[4/4]+9xI[4/8] (Mod 12) & Yeu= -261 (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=6-I[2]+3xI[1]+9xI[0.5] (Mod 12) & Yeu=22x12-261}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=6-2+3x2+9x0 (Mod 12) & Yeu=3}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=10 (Mod 12) & Yeu=3}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=10 & Yeu=3}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3=i. The result means that this formula cannot determine whether 264B.C is a year of great disaster or not. The other formulae, Jwo4 & Jwo5, should be used to find out the result.

When y=264B.C., subsitute y=264 in the formula for year in B.C., Jwo4={Jwo4=8-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) & Tor=3-y (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=8-R[264/10]-I[{R[264/10]}/2]+3xI[{R[264/10]}/4]+9xI[{R[264/10]}/8] (Mod 12) & Tor=3-264 (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=8-4-I[4/2]+3xI[4/4]+9xI[4/8] (Mod 12) & Tor= -261 (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=4-I[2]+3xI[1]+9xI[0.5] (Mod 12) & Tor=22x12-261}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=4-2+3x1+9x0 (Mod 12) & Tor=3}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=5 (Mod 12) & Tor=3}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=5 & Tor=3}&C[Jwo4<>Tor:Jwo4=i]. Jwo4=i. The result means that this formula cannot determine whether 264B.C is a year of great disaster or not. The last formulae, Jwo5, should be used to find out the result.

When y=264B.C., subsitute y=264 in the formula for year in B.C., Jwo5={Jwo5=8-y (Mod 10) & Z=9-y (Mod 12)}&C[(Jwo5<>2,10 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5={Jwo5=8-264 (Mod 10) & Z=9-264 (Mod 12)}&C[(Jwo5<>2,10 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5={Jwo5= -256 (Mod 10) & Z= -255 (Mod 12)}&C[(Jwo5<>2,10 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5={Jwo5=26x10-256 & Z=22x12-255}&C[(Jwo5<>2,10 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5={Jwo5=4 & Z=9}&C[(Jwo5<>2,10 & Z<>2,4,5,6,8,9,11):Jwo5=i]. Jwo5=4 & Z=9. Since `Z=9' in the conditional of `&C[Jwo5<>2,10 & Z<>2,4,5,6,8,9,11]' is false, `Jwo5' is not equalt to `i'. This means that great natural disasters or war occur on earth are not imaginary. 264B.C. is a year of great natural disasters or war. In fact, Carthage and Rome went to the First Punic War in 264B.C.

Example XI: When y=218B.C., U=J=10, Z=7.

When y=218B.C., subsitute y=218 in the formula for year in B.C., Jwo3={Jwo3=10-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) & Yeu=3-y (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=10-R[218/10]-I[{R[218/10]}/2]+3xI[{R[218/10]}/4]+9xI[{R[218/10]}/8] (Mod 12) & Yeu=3-218 (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=10-8-I[8/2]+3xI[8/4]+9xI[8/8] (Mod 12) & Yeu= -215 (Mod 12)}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=2-I[4]+3xI[2]+9xI[1] (Mod 12) & Yeu=18x12-215}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=2-4+3x2+9x1 (Mod 12) & Yeu=1}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=13 (Mod 12) & Yeu=1}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=13-12 & Yeu=1}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3={Jwo3=1 & Yeu=1}&C[Jwo3<>Yeu:Jwo3=i]. Jwo3=Yeu=1. Carthage and Rome went to the Second Punic War in 218B.C.

Example XII: When y=149B.C., U=I=9, Z=4.

When y=149B.C., subsitute y=149 in the formula for year in B.C., Jwo4={Jwo4=8-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/4]+9xI[{R[y/10]}/8] (Mod 12) & Tor=3-y (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=8-R[149/10]-I[{R[149/10]}/2]+3xI[{R[149/10]}/4]+9xI[{R[149/10]}/8] (Mod 12) & Tor=3-149 (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=8-9-I[9/2]+3xI[9/4]+9xI[9/8] (Mod 12) & Tor= -146 (Mod 12)}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4= -1-I[4.5]+3xI[2.25]+9xI[1.125] (Mod 12) & Tor=13x12-146}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4= -1-4+3x2+9x1 (Mod 12) & Tor=10}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=10 (Mod 12) & Tor=10}&C[Jwo4<>Tor:Jwo4=i]. Jwo4={Jwo4=10 & Tor=10}&C[Jwo4<>Tor:Jwo4=i]. Jwo4=Tor=10. Carthage and Rome went to the Third Punic War in 149B.C.

Example of Formula: FfIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Ff=Chzon/Houron/Monthon &C{R=R[y/10]: R=0:Fuo, R=1:Kk, R=2:Fu, R=3:Ym, R=4:Mo, R=5:Chz, R=6:Ch, R=7:Ke, R=8:Bu, R=9:Le} or Ff=Chzon/Houron/Monthon &C[U=1:Mo, U=2:Chz, U=3:Ch, U=4:Ke, U=5:Bu, U=6:Le, U=7:Fuo, U=8:Kk, U=9:Fu, U=10:Ym]'. Ff=Fu.
Example of Formula: FkIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Fk=Chzon &C{R=R[y/10]: R=0:Mo, R=1:Ta, R=2:Chz, R=3:Ku, R=4:Pr, R=5:Le, R=6:Ke, R=7:Tg, R=8:Ym, R=9:Tm} or Fk=Chzon &C[U=1:Pr, U=2:Le, U=3:Ke, U=4:Tg, U=5:Ym, U=6:Tm, U=7:Mo, U=8:Ta, U=9:Chz, U=10:Ku]'. Fk=Chz.
Example of Formula: FlIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Fl=Chzon &C{R=R[y/10]: R=0:Ta, R=1:Ku, R=2:Le, R=3:Pr, R=4:Lm, R=5:Ke, R=6:Tg, R=7:Ym, R=8:Tm, R=9:Mo} or Fl=Chzon &C[U=1:Lm, U=2:Ke, U=3:Tg, U=4:Ym, U=5:Tm, U=6:Mo, U=7:Ta, U=8:Ku, U=9:Le, U=10:Pr]'. Fl=Le.
Example of Formula: FjIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Fj=Chzon/Houron &C{R=R[y/10]: R=0:Tg, R=1:Ch, R=2:Mo, R=3:Tm, R=4:Ta, R=5:Ym, R=6:Lm, R=7:Ku, R=8:Ke, R=9:Kk} or Fj=Chzon/Houron &C[U=1:Ta, U=2:Ym, U=3:Lm, U=4:Ku, U=5:Ke, U=6:Kk, U=7:Tg, U=8:Ch, U=9:Mo, U=10:Tm]'. Fj=Mo.
Example of Formula: IncIf Ego=5, find `y' A.D. in Gregorian calendar such that the person meets yearon `Inc'. Apply the Yearon Formula for year `y' in A.D., `Inc: R[y/10]=(Ego+5)&C{R[Ego/2]=0:-2} (Mod 10)'. Inc: R[y/10]=(5+5)&C{R[5/2]=0:-2} (Mod 10). Inc: R[y/10]=10&C{1=0:-2} (Mod 10). Inc: R[y/10]=10 (Mod 10). Inc: R[y/10]=10. Since R[y/10]=10, `y' can be any year in A.D. with the last digit as 0, e.g. 1990, 2000, 2010, and so on. That is, a person with Ego=5 always comes across with yearon `Inc' in the years with the last digit as 0.
Example of Formula: WinIf Ego=5, find `y' A.D. in Gregorian calendar such that the person meets yearon `Win'. Apply the Yearon Formula for year `y' in A.D., `Win: R[y/10]=Ego+4 (Mod 10)'. Win: R[y/10]=5+4 (Mod 10). Win: R[y/10]=9 (Mod 10). Win: R[y/10]=9. Since Win=9 and R[y/10]=9, `y' can be any year in A.D. with the last digit as 9, e.g. 1989, 1999, 2009, and so on. That is, a person with Ego=5 always comes across with yearon `Win' in the years with the last digit as 9.
Example of Formula: LosIf Ego=5, find `y' A.D. in Gregorian calendar such that the person meets yearon `Los'. Apply the Yearon Formula for year `y' in A.D., `Los: R[y/10]=(Ego-1)&C{R[Ego/2]=1:+2} (Mod 10)'. Los: R[y/10]=(5-1)&C{R[5/2]=1:+2} (Mod 10. Los: R[y/10]=4&C{1=1:+2} (Mod 10). Los: R[y/10]=4+2 (Mod 10). Los: R[y/10]=6 (Mod 10). Los: R[y/10]=6. Since R[y/10]=6, `y' can be any year in A.D. with the last digit as 6, e.g. 1986, 1996, 2006, and so on. That is, a person with Ego=5 always comes across with yearon `Los' in the years with the last digit as 6.
Example of Formula: CfuIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Cfu=7+3xI[{R[y/10]}/2]-3xI[{R[y/10]}/4]-9xI[{R[y/10]}/8] (Mod 12)'. Cfu=7+3xI[{R[2012/10]}/2]-3xI[{R[2012/10]}/4]-9xI[{R[2012/10]}/8] (Mod 12)'. Cfu=7+3xI[2/2]-3xI[2/4]-9xI[2/8] (Mod 12). Cfu=7+3xI[1]-3xI[0.5]-9xI[0.25] (Mod 12). Cfu=7+3x1-3x0-9x0 (Mod 12). Cfu=10 (Mod 12). Cfu=10.
Example of Formula: LukIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Luk=8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)'. Luk=8+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12). Luk=8+2+I[2/2]-3xI[2/8] (Mod 12). Luk=8+2+I[1]-3xI[0.25] (Mod 12). Luk=10+1-3x0 (Mod 12). Luk=11 (Mod 12). Luk=11.
Example of Formula: YeuIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Yeu=9+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)'. Yeu=9+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12). Yeu=9+2+I[2/2]-3xI[2/8] (Mod 12). Yeu=11+I[1]-3xI[0.25] (Mod 12). Yeu=11+1-3x0 (Mod 12). Yeu=12 (Mod 12). Yeu=12-12. Yeu=0.
Example of Formula: TorIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Tor=7+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)'. Tor=7+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12). Tor=7+2+I[2/2]-3xI[2/8] (Mod 12). Tor=9+I[1]-3xI[0.25] (Mod 12). Tor=9+1-3x0 (Mod 12). Tor=10 (Mod 12). Tor=10.
Example of Interchange `Yeu' & `Tor' Formula: Yeu`Yeu' & `Tor' are interchangeable in pairs. If y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Yeu=9-R[y/10]+5xI[R[y/10]/2]-3xI[R[y/10]/8] (Mod 12)'. Yeu=9-R[2012/10]+5xI[R[2012/10]/2]-3xI[R[2012/10]/8] (Mod 12). Yeu=9-2+5xI[2/2]-3xI[2/8] (Mod 12). Yeu=7+5xI[1]-3xI[0.25] (Mod 12). Yeu=7+5x1-3x0 (Mod 12). Yeu=12 (Mod 12). Yeu=12-12. Yeu=0. [Remarks: `Yeu' and `Tor' must be interchanged in pairs. The values of `Yeu' and `Tor' for even solar year `y' are same as the original pairs.]
Example of Interchange `Yeu' & `Tor' Formula: Tor`Yeu' & `Tor' are interchangeable in pairs. If y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Tor=7+3xR[y/10]-3xI[R[y/10]/2]-3xI[R[y/10]/8] (Mod 12)'. Tor=7+3xR[2012/10]-3xI[R[2012/10]/2]-3xI[R[2012/10]/8] (Mod 12). Tor=7+3x2-3xI[2/2]-3xI[2/8] (Mod 12). Tor=13-3xI[1]-3xI[0.25] (Mod 12). Tor=13-3x1-3x0 (Mod 12). Tor=10 (Mod 12). Tor=10. [Remarks: `Yeu' and `Tor' must be interchanged in pairs. The values of `Yeu' and `Tor' for even solar year `y' are same as the original pairs.]
Example of Formula: FuiIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Fui=1+R[y/10]+I[{R[y/10]}/3]+I[{R[y/10]}/4]-I[{R[y/10]}/6]+I[{R[y/10]}/7]-3xI[{R[y/10]}/9] (Mod 12)'. Fui=1+R[2012/10]+I[{R[2012/10]}/3]+I[{R[2012/10]}/4]-I[{R[2012/10]}/6]+I[{R[2012/10]}/7]-3xI[{R[2012/10]}/9] (Mod 12). Fui=1+2+I[2/3]+I[2/4]-I[2/6]+I[2/7]-3xI[2/9] (Mod 12). Fui=3+I[0.666]+I[0.5]-I[0.333]+I[0.285]-3xI[0.222] (Mod 12). Fui=3+0+0-0+0-3x0 (Mod 12). Fui=3 (Mod 12). Fui=3.
Example of Formula: EutIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Eut=7-R[y/10]-I[{R[y/10]}/3]-I[{R[y/10]}/4]+I[{R[y/10]}/6]-I[{R[y/10]}/7]+3xI[{R[y/10]}/9] (Mod 12)'. Eut=7-R[2012/10]-I[{R[2012/10]}/3]-I[{R[2012/10]}/4]+I[{R[2012/10]}/6]-I[{R[2012/10]}/7]+3xI[{R[2012/10]}/9] (Mod 12). Eut=7-2-I[2/3]-I[2/4]+I[2/6]-I[2/7]+3xI[2/9] (Mod 12). Eut=5-I[0.666]-I[0.5]+I[0.333]-I[0.285]+3xI[0.222] (Mod 12). Eut=5-0-0+0-0+3x0 (Mod 12). Eut=5 (Mod 12). Eut=5.
Example of Formula: ChwIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Chw=11+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)'. Chw=11+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12). Chw=11+2+I[2/2]-3xI[2/8] (Mod 12). Chw=13+I[1]-3xI[0.25] (Mod 12). Chw=13+1-3x0 (Mod 12). Chw=14 (Mod 12). Chw=14-12. Chw=2.
Example of Formula: KkwIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Kkw=3-R[y/10]-I[{R[y/10]}/2]+3xI[{R[y/10]}/8] (Mod 12)'. Kkw=3-R[2012/10]-I[{R[2012/10]}/2]+3xI[{R[2012/10]}/8] (Mod 12). Kkw=3-2-I[2/2]+3xI[2/8] (Mod 12). Kkw=1-I[1]+3xI[0.25] (Mod 12). Kkw=1-1+3x0 (Mod 12). Kkw=1-1+3x0 (Mod 12). Kkw=0 (Mod 12). Kkw=0.
Example of Formula: FkwIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Fkw=4+R[y/10]-2xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]-2xI[{R[y/10]}/5]+2xI[{R[y/10]}/6]+8xI[{R[y/10]}/7]+2xI[{R[y/10]}/10] (Mod 12)'. Fkw=4+R[2012/10]-2xI[{R[2012/10]}/2]-2xI[{R[2012/10]}/3]-2xI[{R[2012/10]}/5]+2xI[{R[2012/10]}/6]+8xI[{R[2012/10]}/7]+2xI[{R[2012/10]}/10] (Mod 12). Fkw=4+2-2xI[2/2]-2xI[2/3]-2xI[2/5]+2xI[2/6]+8xI[2/7]+2xI[2/10] (Mod 12). Fkw=4+2-2xI[1]-2xI[0.666]-2xI[0.4]+2xI[0.333]+8xI[0.285]+2xI[0.2] (Mod 12). Fkw=4+2-2x1-2x0-2x0+2x0+8x0+2x0 (Mod 12). Fkw=4 (Mod 12). Fkw=4.
Example of Formula: GkwIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Gkw={2+R[y/10]+I[{R[y/10]}/2]+2xI[{R[y/10]}/3]-10xI[{R[y/10]}/4]+5xI[{R[y/10]}/5]-I[{R[y/10]}/6]-7xI[{R[y/10]}/7]}&C[R[y/10]=8:4,10]&C[R[y/10]=9:1,7] (Mod 12)'. Gkw={2+R[2012/10]+I[{R[2012/10]}/2]+2xI[{R[2012/10]}/3]-10xI[{R[2012/10]}/4]+5xI[{R[2012/10]}/5]-I[{R[2012/10]}/6]-7xI[{R[2012/10]}/7]}&C[R[2012/10]=8:4,10]&C[R[2012/10]=9:1,7] (Mod 12). Gkw={2+2+I[2/2]+2xI[2/3]-10xI[2/4]+5xI[2/5]-I[2/6]-7xI[2/7]}&C[2=8:4,10]&C[2=9:1,7] (Mod 12). Gkw=4+I[1]+2xI[0.666]-10xI[0.5]+5xI[0.4]-I[0.333]-7xI[0.285] (Mod 12). Gkw=4+1+2x0-10x0+5x0-0-7x0 (Mod 12). Gkw=5 (Mod 12). Gkw=5.
Example of Formula: JkwIf y=2012, then R[y/10]=2 and R[y/2]=0. Apply the Yearon Formula for year `y' in A.D., `Jkw={11-9xR[y/2]}&C{R[y/10]>3:5+3xR[y/2]} (Mod 12)'. Jkw={11-9xR[2012/2]}&C{R[2012/10]>3:5+3xR[2012/2]} (Mod 12). Jkw={11-9x0}&C{2>3:5+3x0} (Mod 12). Jkw=11&C{2>3:8} (Mod 12). Jkw=11&C{2>3:8} (Mod 12). Jkw=11 (Mod 12). Jkw=11.
Example of Formula: TyhIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Tyh=6-R[y/10]+5xI[R[y/10]/2] (Mod 12)'. Tyh=6-R[2012/10]+5xI[R[2012/10]/2] (Mod 12). Tyh=6-2+5xI[2/2] (Mod 12). Tyh=4+5xI[1] (Mod 12). Tyh=4+5x1 (Mod 12). Tyh=9 (Mod 12). Tyh=9.
Example of Formula: GunIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Gun=11-2xR[y/10]+3xI[{R[y/10]}/2]-2xI[{R[y/10]}/3]-I[{R[y/10]}/5]+2xI[{R[y/10]}/6]-I[{R[y/10]}/7]-2xI[{R[y/10]}/9] (Mod 12)'. Gun=11-2xR[2012/10]+3xI[{R[2012/10]}/2]-2xI[{R[2012/10]}/3]-I[{R[2012/10]}/5]+2xI[{R[2012/10]}/6]-I[{R[2012/10]}/7]-2xI[{R[2012/10]}/9] (Mod 12). Gun=11-2x2+3xI[2/2]-2xI[2/3]-I[2/5]+2xI[2/6]-I[2/7]-2xI[2/9] (Mod 12). Gun=11-4+3xI[1]-2xI[0.666]-I[0.4]+2xI[0.333]-I[0.285]-2xI[0.222] (Mod 12). Gun=7+3x1-2x0-0+2x0-0-2x0 (Mod 12). Gun=7+3 (Mod 12). Gun=10 (Mod 12). Gun=10.
Example of Formula: FukIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Fuk=6-R[y/10]+2xI[{R[y/10]}/2]+3xI[{R[y/10]}/4]+3xI[{R[y/10]}/6]-4xI[{R[y/10]}/8]-8xI[{R[y/10]}/9] (Mod 12)'. Fuk=6-R[2012/10]+2xI[{R[2012/10]}/2]+3xI[{R[2012/10]}/4]+3xI[{R[2012/10]}/6]-4xI[{R[2012/10]}/8]-8xI[{R[2012/10]}/9] (Mod 12). Fuk=6-2+2xI[2/2]+3xI[2/4]+3xI[2/6]-4xI[2/8]-8xI[2/9] (Mod 12). Fuk=4+2xI[1]+3xI[0.5]+3xI[0.333]-4xI[0.25]-8xI[0.222] (Mod 12). Fuk=4+2x1+3x0+3x0-4x0-8x0 (Mod 12). Fuk=4+2 (Mod 12). Fuk=6 (Mod 12). Fuk=6.
Example of Formula: TynIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Tyn=11-3xR[y/10]+I[{R[y/10]}/2]+2xI[{R[y/10]}/3]-I[{R[y/10]}/4]+9xI[{R[y/10]}/6]+I[{R[y/10]}/7]+2xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12)'. Tyn=11-3xR[2012/10]+I[{R[2012/10]}/2]+2xI[{R[2012/10]}/3]-I[{R[2012/10]}/4]+9xI[{R[2012/10]}/6]+I[{R[2012/10]}/7]+2xI[{R[2012/10]}/8]-2xI[{R[2012/10]}/9] (Mod 12). Tyn=11-3x2+I[2/2]+2xI[2/3]-I[2/4]+9xI[2/6]+I[2/7]+2xI[2/8]-2xI[2/9] (Mod 12). Tyn=5+I[1]+2xI[0.666]-I[0.5]+9xI[0.333]+I[0.281]+2xI[0.25]-2xI[0.222] (Mod 12). Tyn=5+1+2x0-0+9x0+0+2x0-2x0 (Mod 12). Tyn=6 (Mod 12). Tyn=6.
Example of Formula: HokIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Hok=5-5xR[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)'. Hok=5-5xR[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12). Hok=5-5x2+I[2/2]-3xI[2/8] (Mod 12). Hok=5-10+I[1]-3xI[0.25] (Mod 12). Hok= -5+1-3x0 (Mod 12). Hok= -4 (Mod 12). Hok=12-4. Hok=8.
Example of Formula: ChuIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Chu=2+4xR[y/10]-I[{R[y/10]}/2]-2xI[{R[y/10]}/3]+3xI[{R[y/10]}/4]-3xI[{R[y/10]}/5]+5xI[{R[y/10]}/6]+I[{R[y/10]}/7]-3xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12)'. Chu=2+4xR[2012/10]-I[{R[2012/10]}/2]-2xI[{R[2012/10]}/3]+3xI[{R[2012/10]}/4]-3xI[{R[2012/10]}/5]+5xI[{R[2012/10]}/6]+I[{R[2012/10]}/7]-3xI[{R[2012/10]}/8]-2xI[{R[2012/10]}/9] (Mod 12). Chu=2+4x2-I[2/2]-2xI[2/3]+3xI[2/4]-3xI[2/5]+5xI[2/6]+I[2/7]-3xI[2/8]-2xI[2/9] (Mod 12). Chu=2+8-I[1]-2xI[0.666]+3xI[0.25]-3xI[0.4]+5xI[0.333]+I[0.285]-3xI[0.25]-2xI[0.222] (Mod 12). Chu=10-1-2x0+3x0-3x0+5x0+0-3x0-2x0 (Mod 12). Chu=9 (Mod 12). Chu=9.
Example of Formula: HarIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Har=4-R[y/10]+9xI[{R[y/10]}/2]-8xI[{R[y/10]}/3]-I[{R[y/10]}/4]+2xI[{R[y/10]}/5]-3xI[{R[y/10]}/6]+2xI[{R[y/10]}/7]+2xI[{R[y/10]}/8]-2xI[{R[y/10]}/9] (Mod 12)'. Har=4-R[2012/10]+9xI[{R[2012/10]}/2]-8xI[{R[2012/10]}/3]-I[{R[2012/10]}/4]+2xI[{R[2012/10]}/5]-3xI[{R[2012/10]}/6]+2xI[{R[2012/10]}/7]+2xI[{R[2012/10]}/8]-2xI[{R[2012/10]}/9] (Mod 12). Har=4-2+9xI[2/2]-8xI[2/3]-I[2/4]+2xI[2/5]-3xI[2/6]+2xI[2/7]+2xI[2/8]-2xI[2/9] (Mod 12). Har=2+9xI[1]-8xI[0.666]-I[0.5]+2xI[0.4]-3xI[0.333]+2xI[0.285]+2xI[0.25]-2xI[0.222] (Mod 12). Har=2+9x1-8x0-0+2x0-3x0+2x0+2x0-2x0 (Mod 12). Har=2+9 (Mod 12). Har=11 (Mod 12). Har=11.
Example of Formula: YueIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Yue=10+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)'. Yue=10+2+I[2/2]-3xI[2/8] (Mod 12). Yue=12+I[1]-3xI[0.25] (Mod 12). Yue=12+1-3x0 (Mod 12). Yue=13 (Mod 12). Yue=13-12. Yue=1.
Example of Formula: YimIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Yim=10-R[y/10]+4xI[{R[y/10]}/2]-3xI[{R[y/10]}/3]-5xI[{R[y/10]}/4]+3xI[{R[y/10]}/5]-8xI[{R[y/10]}/6]+8xI[{R[y/10]}/7]-I[{R[y/10]}/8]+4xI[{R[y/10]}/9] (Mod 12)'. Yim=10-R[2012/10]+4xI[{R[2012/10]}/2]-3xI[{R[2012/10]}/3]-5xI[{R[2012/10]}/4]+3xI[{R[2012/10]}/5]-8xI[{R[2012/10]}/6]+8xI[{R[2012/10]}/7]-I[{R[2012/10]}/8]+4xI[{R[2012/10]}/9] (Mod 12). Yim=10-2+4xI[2/2]-3xI[2/3]-5xI[2/4]+3xI[2/5]-8xI[2/6]+8xI[2/7]-I[2/8]+4xI[2/9] (Mod 12). Yim=8+4xI[1]-3xI[0.6666]-5xI[0.5]+3xI[0.4]-8xI[0.3333]+8xI[0.2857]-I[0.25]+4xI[0.2222] (Mod 12). Yim=8+4x1-3x0-5x0+3x0-8x0+8x0-0+4x0 (Mod 12). Yim=12 (Mod 12). Yim=12-12. Yim=0.
Example of Formula: JitIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Jit=7-2xR[y/10]+9xI[{R[y/10]}/4]+3xI[{R[y/10]}/8]-I[{R[y/10]}/9] (Mod 12)'. Jit=7-2xR[2012/10]+9xI[{R[2012/10]}/4]+3xI[{R[2012/10]}/8]-I[{R[2012/10]}/9] (Mod 12). Jit=7-2x2+9xI[2/4]+3xI[2/8]-I[2/9] (Mod 12). Jit=7-4+9xI[0.5]+3xI[0.25]-I[0.222] (Mod 12). Jit=3+9x0+3x0-0 (Mod 12). Jit=3 (Mod 12). Jit=3.
Example of Formula: BosIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Bos=8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)'. Bos=8+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12). Bos=8+2+I[2/2]-3xI[2/8] (Mod 12). Bos=10+I[1]-3xI[0.25] (Mod 12). Bos=10+1-3x0 (Mod 12). Bos=11 (Mod 12). Bos=11.
Example of Formula: Lis For male, the Sex Code (SC) is `M' and m=0. So, SC=0. If y=2012, apply the formula `Lis={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+1, R[(SC+y)/2]=1:-1}] (Mod 12)'. Lis={8+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8]}&C[R[(0+2012)/2]=0:+1, R[(0+2012)/2]=1:-1] (Mod 12). Lis={8+2+I[2/2]-3xI[2/8]}&C[R[2012/2]=0:+1, R[2012/2]=1:-1] (Mod 12). Lis={10+I[1]-3xI[0.25]}&C[0=0:+1, 0=1:-1] (Mod 12). Lis={10+1-3x0}&C[0=0:+1, 0=1:-1] (Mod 12). Lis=11&C[0=0:+1, 0=1:-1] (Mod 12). Since the truth value of `&C[0=0]' is true and the truth value of `&C[0=1]' is false, the mathematical expression `+1' after the sign `:' should be operated. Thus, Lis=11+1 (Mod 12). Lis=12 (Mod 12). Lis=12-12. Lis=0.
Example of Formula: Clu For male, the Sex Code (SC) is `M' and m=0. So, SC=0. If y=1987, apply the formula `Clu={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+2, R[(SC+y)/2]=1:-2}] (Mod 12)'. Clu={8+R[1987/10]+I[{R[1987/10]}/2]-3xI[{R[1987/10]}/8]}&C[R[(0+1987)/2]=0:+2, R[(0+1987)/2]=1:-2] (Mod 12). Clu={8+7+I[7/2]-3xI[7/8]}&C[R[1987/2]=0:+2, R[1987/2]=1:-2] (Mod 12). Clu={15+I[3.5]-3xI[0.875]}&C[1=0:+2, 1=1:-2] (Mod 12). Clu={15+3-3x0}&C[1=0:+2, 1=1:-2] (Mod 12). Clu=18&C[1=0:+2, 1=1:-2] (Mod 12). Since the truth value of `&C[1=0]' is false and the truth value of `&C[1=1]' is true, the mathematical expression `-2' after the sign `:' should be operated. Thus, Clu=18-2 (Mod 12). Clu=16 (Mod 12). Clu=16-12. Clu=4.
Example of Formula: Sho For female, the Sex Code (SC) is `F' and f=1. So, SC=1. If y=1959, apply the formula `Sho={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+3, R[(SC+y)/2]=1:-3}] (Mod 12)'. Sho={8+R[1959/10]+I[{R[1959/10]}/2]-3xI[{R[1959/10]}/8]}&C[R[(1+1959)/2]=0:+3, R[(1+1959)/2]=1:-3] (Mod 12). Sho={8+9+I[9/2]-3xI[9/8]}&C[R[1960/2]=0:+3, R[1960/2]=1:-3] (Mod 12). Sho={17+I[4.5]-3xI[1.125]}&C[0=0:+3, 0=1:-3] (Mod 12). Sho={17+4-3x1}&C[0=0:+3, 0=1:-3] (Mod 12). Sho=18&C[0=0:+3, 0=1:-3] (Mod 12). Since the truth value of `&C[0=0]' is true and the truth value of `&C[0=1]' is false, the mathematical expression `+3' after the sign `:' should be operated. Thus, Sho=18+3 (Mod 12). Sho=21 (Mod 12). Sho=21-12. Sho=9.
Example of Formula: Ckn For female, the Sex Code (SC) is `F' and f=1. So, SC=1. If y=2000, apply the formula `Ckn={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+4, R[(SC+y)/2]=1:-4}] (Mod 12)'. Ckn={8+R[2000/10]+I[{R[2000/10]}/2]-3xI[{R[2000/10]}/8]}&C[R[(1+2000)/2]=0:+4, R[(1+2000)/2]=1:-4] (Mod 12). Ckn={8+0+I[0/2]-3xI[0/8]}&C[R[2001/2]=0:+4, R[2001/2]=1:-4] (Mod 12). Ckn={8+I[0]-3xI[0]}&C[1=0:+4, 1=1:-4] (Mod 12). Ckn={8+0-3x0}&C[1=0:+4, 1=1:-4] (Mod 12). Ckn=8&C[1=0:+4, 1=1:-4] (Mod 12). Since the truth value of `&C[1=0]' is false and the truth value of `&C[1=1]' is true, the mathematical expression `-4' after the sign `:' should be operated. Thus, Ckn=8-4 (Mod 12). Ckn=4 (Mod 12). Ckn=4.
Example of Formula: Csu For male, the Sex Code (SC) is `M' and m=0. So, SC=0. If y=2012, apply the formula `Csu={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+5, R[(SC+y)/2]=1:-5}] (Mod 12)'. Csu={8+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8]}&C[R[(0+2012)/2]=0:+5, R[(0+2012)/2]=1:-5] (Mod 12). Csu={8+2+I[2/2]-3xI[2/8]}&C[R[2012/2]=0:+5, R[2012/2]=1:-5] (Mod 12). Csu={10+I[1]-3xI[0.25]}&C[0=0:+5, 0=1:-5] (Mod 12). Csu={10+1-3x0}&C[0=0:+5, 0=1:-5] (Mod 12). Csu=11&C[0=0:+5, 0=1:-5] (Mod 12). Since the truth value of `&C[0=0]' is true and the truth value of `&C[0=1]' is false, the mathematical expression `+5' after the sign `:' should be operated. Thus, Csu=11+5 (Mod 12). Csu=16 (Mod 12). Csu=16-12. Csu=4.
Example of Formula: LimIf y=2012, then R[y/10]=2. Apply the Yearon Formula for year `y' in A.D., `Lim=2+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8] (Mod 12)'. Lim=2+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8] (Mod 12). Lim=2+2+I[2/2]-3xI[2/8] (Mod 12). Lim=4+I[1]-3xI[0.25] (Mod 12). Lim=4+1-3x0 (Mod 12). Lim=5 (Mod 12). Lim=5.
Example of Formula: Hee For male, the Sex Code (SC) is `M' and m=0. So, SC=0. If y=1987, apply the formula `Hee={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+7, R[(SC+y)/2]=1:-7}] (Mod 12)'. Hee={8+R[1987/10]+I[{R[1987/10]}/2]-3xI[{R[1987/10]}/8]}&C[R[(0+1987)/2]=0:+7, R[(0+1987)/2]=1:-7] (Mod 12). Hee={8+7+I[7/2]-3xI[7/8]}&C[R[1987/2]=0:+7, R[1987/2]=1:-7] (Mod 12). Hee={15+I[3.5]-3xI[0.875]}&C[1=0:+7, 1=1:-7] (Mod 12). Hee={15+3-3x0}&C[1=0:+7, 1=1:-7] (Mod 12). Hee=18&C[1=0:+7, 1=1:-7] (Mod 12). Since the truth value of `&C[1=0]' is false and the truth value of `&C[1=1]' is true, the mathematical expression `-7' after the sign `:' should be operated. Thus, Hee=18-7 (Mod 12). Hee=11 (Mod 12). Hee=11.
Example of Formula: Cbm For female, the Sex Code (SC) is `F' and f=1. So, SC=1. If y=1959, apply the formula `Cbm={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+8, R[(SC+y)/2]=1:-8}] (Mod 12)'. Cbm={8+R[1959/10]+I[{R[1959/10]}/2]-3xI[{R[1959/10]}/8]}&C[R[(1+1959)/2]=0:+8, R[(1+1959)/2]=1:-8] (Mod 12). Cbm={8+9+I[9/2]-3xI[9/8]}&C[R[1960/2]=0:+8, R[1960/2]=1:-8] (Mod 12). Cbm={17+I[4.5]-3xI[1.125]}&C[0=0:+8, 0=1:-8] (Mod 12). Cbm={17+4-3x1}&C[0=0:+8, 0=1:-8] (Mod 12). Cbm=18&C[0=0:+8, 0=1:-8] (Mod 12). Since the truth value of `&C[0=0]' is true and the truth value of `&C[0=1]' is false, the mathematical expression `+8' after the sign `:' should be operated. Thus, Cbm=18+8 (Mod 12). Cbm=26 (Mod 12). Cbm=26-12x2. Cbm=2.
Example of Formula: Bai For female, the Sex Code (SC) is `F' and f=1. So, SC=1. If y=2000, apply the formula `Bai={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+9, R[(SC+y)/2]=1:-9}] (Mod 12)'. Bai={8+R[2000/10]+I[{R[2000/10]}/2]-3xI[{R[2000/10]}/8]}&C[R[(1+2000)/2]=0:+9, R[(1+2000)/2]=1:-9] (Mod 12). Bai={8+0+I[0/2]-3xI[0/8]}&C[R[2001/2]=0:+9, R[2001/2]=1:-9] (Mod 12). Bai={8+I[0]-3xI[0]}&C[1=0:+9, 1=1:-9] (Mod 12). Bai={8+0-3x0}&C[1=0:+9, 1=1:-9] (Mod 12). Bai=8&C[1=0:+9, 1=1:-9] (Mod 12). Since the truth value of `&C[1=0]' is false and the truth value of `&C[1=1]' is true, the mathematical expression `-9' after the sign `:' should be operated. Thus, Bai=8-9 (Mod 12). Bai= -1 (Mod 12). Bai=12-1. Bai=11.
Example of Formula: Fbg For male, the Sex Code (SC) is `M' and m=0. So, SC=0. If y=2012, apply the formula `Fbg={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+10, R[(SC+y)/2]=1:-10}] (Mod 12)'. Fbg={8+R[2012/10]+I[{R[2012/10]}/2]-3xI[{R[2012/10]}/8]}&C[R[(0+2012)/2]=0:+10, R[(0+2012)/2]=1:-10] (Mod 12). Fbg={8+2+I[2/2]-3xI[2/8]}&C[R[2012/2]=0:+10, R[2012/2]=1:-10] (Mod 12). Fbg={10+I[1]-3xI[0.25]}&C[0=0:+10, 0=1:-10] (Mod 12). Fbg={10+1-3x0}&C[0=0:+10, 0=1:-10] (Mod 12). Fbg=11&C[0=0:+10, 0=1:-10] (Mod 12). Since the truth value of `&C[0=0]' is true and the truth value of `&C[0=1]' is false, the mathematical expression `+10' after the sign `:' should be operated. Thus, Fbg=11+10 (Mod 12). Fbg=21 (Mod 12). Fbg=21-12. Fbg=9.
Example of Formula: Kfu For male, the Sex Code (SC) is `M' and m=0. So, SC=0. If y=1987, apply the formula `Kfu={8+R[y/10]+I[{R[y/10]}/2]-3xI[{R[y/10]}/8]}&C[(SC:m=0, f=1) & {R[(SC+y)/2]=0:+11, R[(SC+y)/2]=1:-11}] (Mod 12)'. Kfu={8+R[1987/10]+I[{R[1987/10]}/2]-3xI[{R[1987/10]}/8]}&C[R[(0+1987)/2]=0:+11, R[(0+1987)/2]=1:-11] (Mod 12). Kfu={8+7+I[7/2]-3xI[7/8]}&C[R[1987/2]=0:+11, R[1987/2]=1:-11] (Mod 12). Kfu={15+I[3.5]-3xI[0.875]}&C[1=0:+11, 1=1:-11] (Mod 12). Kfu={15+3-3x0}&C[1=0:+11, 1=1:-11] (Mod 12). Kfu=18&C[1=0:+11, 1=1:-11] (Mod 12). Since the truth value of `&C[1=0]' is false and the truth value of `&C[1=1]' is true, the mathematical expression `-11' after the sign `:' should be operated. Thus, Kfu=18-11 (Mod 12). Kfu=7 (Mod 12). Kfu=7.
Example of Formula: IncIf Ego=2, find `y' A.D. in Gregorian calendar such that the person meets yearon `Inc'. Apply the Yearon Formula for year `y' in A.D., `Inc: R[y/12]-4={(12-Ego)-7xI[Ego/5]+5xI[Ego/7]+5xI[Ego/9]+7xI[Ego/10]}&C[Ego=1:1,7]&C[Ego=2:4,10] (Mod 12)'. Inc: R[y/12]-4={(12-2)-7xI[2/5]+5xI[2/7]+5xI[2/9]+7xI[2/10]}&C[2=1:1,7]&C[2=2:4,10] (Mod 12). Inc: R[y/12]-4={10-7xI[0.4]+5xI[0.285]+5xI[0.222]+7xI[0.2]}&C[2=1:1,7]&C[2=2:4,10] (Mod 12). Inc: R[y/12]-4={10-7x0+5x0+5x0+7x0}&C[2=1:1,7]&C[2=2:4,10] (Mod 12). Inc: R[y/12]-4=10&C[2=1:1,7]&C[2=2:4,10] (Mod 12). Inc: R[y/12]-4=10&C[2=1:1,7]&C[2=2:4,10] (Mod 12). Inc: R[y/12]-4=4 (Mod 12) and Inc: R[y/12]-4=10 (Mod 12). R[y/12]=4+4 (Mod 12) and R[y/12]=10+4 (Mod 12). R[y/12]=8 (Mod 12) and R[y/12]=14 (Mod 12). R[y/12]=8 and R[y/12]=14-12. R[y/12]=8 and R[y/12]=2. Since R[y/12]=8 and R[y/12]=2, `y' can be any year in A.D. such that when `y' is divided by 12, the remainder is 2 or 8, e.g. 1982, 1994, 2006, and 1988, 2000, 2012, and so on. That is, a person with Ego=2 always comes across with yearon `Inc' in year `y' when `y' is divided by 12 and the remainder is 2 or 8.
Example of Formula: WinIf Ego=2, find `y' A.D. in Gregorian calendar such that the person meets yearon `Win'. Apply the Yearon Formula for year `y' in A.D., `Win: R[y/12]-4={(Ego+5)+I[Ego/5]+I[Ego/7]+I[Ego/9]}&C[Ego=1:4,10]&C[Ego=2:1,7] (Mod 12)'. Win: R[y/12]-4={(2+5)+I[2/5]+I[2/7]+I[2/9]}&C[2=1:4,10]&C[2=2:1,7] (Mod 12). Win: R[y/12]-4={7+I[0.4]+I[0.285]+I[0.222]}&C[2=1:4,10]&C[2=2:1,7] (Mod 12). Win: R[y/12]-4={7+0+0+0}&C[2=1:4,10]&C[2=2:1,7] (Mod 12). Win: R[y/12]-4=7&C[2=1:4,10]&C[2=2:1,7] (Mod 12). Win: R[y/12]-4=1 (Mod 12) and Win: R[y/12]-4=7 (Mod 12). R[y/12]=1+4 (Mod 12) and R[y/12]=7+4 (Mod 12). R[y/12]=5 (Mod 12) and R[y/12]=11 (Mod 12). R[y/12]=5 and R[y/12]=11. Since R[y/12]=5 and R[y/12]=11, `y' can be any year in A.D. such that when `y' is divided by 12, the remainder is 5 or 11, e.g. 1985, 1997, 2009, and 1991, 2003, 2015, and so on. That is, a person with Ego=2 always comes across with yearon `Win' in year `y' when `y' is divided by 12 and the remainder is 5 or 11.
Example of Formula: LosIf Ego=10, find `y' A.D. in Gregorian calendar such that the person meets yearon `Los'. Apply the Yearon Formula for year `y' in A.D., `Los: R[y/12]-4={(4-Ego)+5xI[Ego/3]+2xI[Ego/7]}&C[Ego=5:1,7]&C[Ego=6:4,10] (Mod 12)'. Los: R[y/12]-4={(4-10)+5xI[10/3]+2xI[10/7]}&C[10=5:1,7]&C[10=6:4,10] (Mod 12). Los: R[y/12]-4={-6+5xI[3.333]+2xI[1.428]}&C[10=5:1,7]&C[10=6:4,10] (Mod 12). Los: R[y/12]-4={-6+5x3+2x1}&C[10=5:1,7]&C[10=6:4,10] (Mod 12). Los: R[y/12]-4=11&C[10=5:1,7]&C[10=6:4,10] (Mod 12). Los: R[y/12]-4=11 (Mod 12). Los: R[y/12]=11+4 (Mod 12). Los: R[y/12]=15 (Mod 12). Los: R[y/12]=15-12. Los: R[y/12]=3. Since R[y/12]=3, `y' can be any year in A.D. such that when `y' is divided by 12, the remainder is 3, e.g. 1983, 1995, 2007, and so on. That is, a person with Ego=10 always comes across with yearon `Los' in year `y' when `y' is divided by 12 and the remainder is 3.
Example of Formula: HuiIf y=1976, apply the Yearon Formula for year `y' in A.D., `Hui=2+y (Mod 12)'. Hui=2+1976 (Mod 12). Hui=1978 (Mod 12). Hui=1978-164x12. Hui=10.
Example of Formula: HukIf y=1976, apply the Yearon Formula for year `y' in A.D., `Huk=10-y (Mod 12)'. Huk=10-1976 (Mod 12). Huk= -1966 (Mod 12). Huk=164x12-1966. Huk=2.
Example of Formula: ChiIf y=1976, apply the Yearon Formula for year `y' in A.D., `Chi=y (Mod 12)'. Chi=1976 (Mod 12). Chi=1976-164x12. Chi=8.
Example of Formula: KokIf y=1976, apply the Yearon Formula for year `y' in A.D., `Kok=2-y (Mod 12)'. Kok=2-1976 (Mod 12). Kok= -1974 (Mod 12). Kok=165x12-1974. Kok=6.
Example of Formula: Que/KarIf y=1952, apply the Yearon Formula for year `y' in A.D., `Que/Kar=2+y (Mod 12)'. Que/Kar=2+1952 (Mod 12). Que/Kar=1954 (Mod 12). Que/Kar=1954-162x12. Que/Kar=10.
Example of Formula: LunIf y=1976, apply the Yearon Formula for year `y' in A.D., `Lun=7-y (Mod 12)'. Lun=7-1976 (Mod 12). Lun= -1969 (Mod 12). Lun=165x12-1969. Lun=11.
Example of Formula: HeiIf y=1976, apply the Yearon Formula for year `y' in A.D., `Hei=1-y (Mod 12)'. Hei=1-1976 (Mod 12). Hei= -1975 (Mod 12). Hei=165x12-1975 (Mod 12). Hei=5.
Example of Formula: YiuIf y=1986, apply the Yearon Formula for year `y' in A.D., `Yiu=7+y (Mod 12)'. Yiu=7+1986 (Mod 12). Yiu=1993 (Mod 12). Yiu=1993-166x12 (Mod 12). Yiu=1.
Example of Formula: HooIf y=1976, apply the Yearon Formula for year `y' in A.D., `Hoo=9+y (Mod 12)'. Hoo=9+1976 (Mod 12). Hoo=1985 (Mod 12). Hoo=1985-165x12. Hoo=5.
Example of Formula: PsuIf y=1976, then R[y/12]=8. Apply the Yearon Formula for year `y' in A.D., `Psu=9-4xR[y/3] (Mod 12)'. Psu=9-4xR[1976/3] (Mod 12). Psu=9-4x8 (Mod 12). Psu=9-32 (Mod 12). Psu= -23 (Mod 12). Psu=12x2-23. Psu=24-23. Psu=1.
Example of Formula: GooIf y=1976, then R[y/12]=8. Apply the Yearon Formula for year `y' in A.D., `Goo=11-9xI[{R[y/12]}/3] (Mod 12)'. Goo=11-9xI[{R[1976/12]}/3] (Mod 12). Goo=11-9xI[8/3] (Mod 12). Goo=11-9xI[2.666] (Mod 12). Goo=11-9x2 (Mod 12). Goo=11-18 (Mod 12). Goo= -7 (Mod 12). Goo=12-7. Goo=5.
Example of Formula: GwaIf y=1976, then R[y/12]=8. Apply the Yearon Formula for year `y' in A.D., `Gwa=7+3xI[{R[y/12]}/3] (Mod 12)'. Gwa=7+3xI[{R[1976/12]}/3] (Mod 12). Gwa=7+3xI[8/3] (Mod 12). Gwa=7+3xI[2.666] (Mod 12). Gwa=7+3x2 (Mod 12). Gwa=7+6 (Mod 12). Gwa=13 (Mod 12). Gwa=13-12. Gwa=1.
Example of Formula: JfgIf y=2022, apply the Yearon Formula for year `y' in A.D., `Jfg=3xR[(y-1)/3]+2xI[{R[(y-1)/3]}/2] (Mod 12)'. Jfg=3xR[(2022-1)/3]+2xI[{R[(2022-1)/3]}/2] (Mod 12). Jfg=3xR[2021/3]+2xI[{R[2021/3]}/2] (Mod 12). Jfg=3x2+2xI[2/2] (Mod 12). Jfg=6+2xI[1] (Mod 12). Jfg=6+2x1 (Mod 12). Jfg=8 (Mod 12). Jfg=8.
Example of Formula: FeiIf y=1976, then R[y/12]=8. Apply the Yearon Formula for year `y' in A.D., `Fei=4+y+6xI[{R[y/12]+2}/3] (Mod 12)'. Fei=4+1976+6xI[{R[1976/12]+2}/3] (Mod 12). Fei=1980+6xI[{8+2}/3] (Mod 12). Fei=1980+6xI[10/3] (Mod 12). Fei=1980+6xI[3.333] (Mod 12). Fei=1980+6x3 (Mod 12). Fei=1998 (Mod 12). Fei=1998-166x12. Fei=6.
Example of Formula: YeiIf y=1976, apply the Yearon Formula for year `y' in A.D., `Yei=7+y (Mod 12)'. Yei=7+1976 (Mod 12). Yei=1983 (Mod 12). Yei=1983-165x12. Yei=3.
Example of Formula: KwyIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Kwy=2-3xR[y/4] (Mod 12)'. Kwy=2-3xR[1976/4] (Mod 12). Kwy=2-3x0 (Mod 12). Kwy=2 (Mod 12). Kwy=2.
Example of Formula: LfoIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Lfo=8+9xR[y/4] (Mod 12)'. Lfo=8+9xR[1976/4] (Mod 12). Lfo=8+9x0 (Mod 12). Lfo=8 (Mod 12). Lfo=8.
Example of Formula: CakIf y=1976, then R[y/12]=8. Apply the Yearon Formula for year `y' in A.D., `Cak=10-7xR[y/12] (Mod 12)'. Cak=10-7xR[1976/12] (Mod 12). Cak=10-7x8 (Mod 12). Cak= -10-56 (Mod 12). Cak= -46 (Mod 12). Cak=12x4-46. Cak=2.
Example of Formula: TdoIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Tdo=5+3xR[y/4] (Mod 12)'. Tdo=5+3xR[1976/4] (Mod 12). Tdo=5+3x0 (Mod 12). Tdo=5 (Mod 12). Tdo=5.
Example of Formula: PikIf y=1976, then R[y/12]=8. Apply the Yearon Formula for year `y' in A.D., `Pik=6+4xR[y/12]+2xI[{R[y/12]}/3]+7xI[{R[y/12]}/4]-3xI[{R[y/12]}/6]+2xI[{R[y/12]}/7]+10xI[{R[y/12]}/9]-2xI[{R[y/12]}/11] (Mod 12)'. Pik=6+4xR[1976/12]+2xI[{R[1976/12]}/3]+7xI[{R[1976/12]}/4]-3xI[{R[1976/12]}/6]+2xI[{R[1976/12]}/7]+10xI[{R[1976/12]}/9]-2xI[{R[1976/12]}/11] (Mod 12). Pik=6+4x8+2xI[8/3]+7xI[8/4]-3xI[8/6]+2xI[8/7]+10xI[8/9]-2xI[8/11] (Mod 12). Pik=6+32+2xI[2.666]+7xI[2]-3xI[1.333]+2xI[1.142]+10xI[0.888]-2xI[0.727] (Mod 12). Pik=38+2x2+7x2-3x1+2x1+10x0-2x0 (Mod 12). Pik=38+4+14-3+2 (Mod 12). Pik=55 (Mod 12). Pik=55-12x4. Pik=55-48. Pik=7.
Example of Formula: SuiIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Sui=3+6xR[y/4]-3xI[{R[y/4]}/2] (Mod 12)'. Sui=3+6xR[1976/4]-3xI[{R[1976/4]}/2] (Mod 12). Sui=3+6x0-3xI[0/2] (Mod 12). Sui=3-3xI[0] (Mod 12). Sui=3-3x0 (Mod 12). Sui=3 (Mod 12). Sui=3.
Example of Formula: YngIf y=1976, then R[y/12]=8. Apply the Yearon Formula for year `y' in A.D., `Yng=2+7xR[y/12]+3xI[{R[y/12]}/2]+9xI[{R[y/12]}/3]-6xI[{R[y/12]}/4] (Mod 12)'. Yng=2+7xR[1976/12]+3xI[{R[1976/12]}/2]+9xI[{R[1976/12]}/3]-6xI[{R[1976/12]}/4] (Mod 12). Yng=2+7x8+3xI[8/2]+9xI[8/3]-6xI[8/4] (Mod 12). Yng=58+3xI[4]+9xI[2.666]-6xI[2] (Mod 12). Yng=58+3x4+9x2-6x2 (Mod 12). Yng=76 (Mod 12). Yng=76-6x12. Yng=4.
Example of Formula: HoiIf y=1976, apply the Yearon Formula for year `y' in A.D., `Hoi=11-y (Mod 12)'. Hoi=11-1976 (Mod 12). Hoi= -1965 (Mod 12). Hoi=164x12-1965. Hoi=3.
Example of Formula: PorIf y=1976, apply the Yearon Formula for year `y' in A.D., `Por=5+R[y/12]-6x{R[y/12]-4} (Mod 12)'. Por=5+R[1976/12]-6x{R[1976/12]-4} (Mod 12). Por=5+8-6x{8-4} (Mod 12). Por=13-6x4 (Mod 12). Por= -11 (Mod 12). Por=12-11. Por=1.
Example of Formula: AatIf y=1976, apply the Yearon Formula for year `y' in A.D., `Aat=4-y (Mod 12)'. Aat=4-1976 (Mod 12). Aat= -1972 (Mod 12). Aat=165x12-1972. Aat=8.
Example of Formula: NikIf y=1976, then R[y/12]=8. Apply the Yearon Formula for year `y' in A.D., `Nik=10-9xI[{R[y/12]}/3] (Mod 12)'. Nik=10-9xI[{R[1976/12]}/3] (Mod 12). Nik=10-9xI[8/3] (Mod 12). Nik=10-9xI[2.666] (Mod 12). Nik=10-9x2 (Mod 12). Nik=10-18 (Mod 12). Nik= -8 (Mod 12). Nik=12-8. Nik=4.
Example of Formula: HomIf y=2047, then R[y/12]=7. Apply the Yearon Formula for year `y' in A.D., `Hom=5+2xR[y/12]-9xI[{R[y/12]}/3]+6xI[{R[y/12]}/4]-6xI[{R[y/12]}/5]+I[{R[y/12]}/6]+6xI[{R[y/12]}/7]-6xI[{R[y/12]}/9]+2xI[{R[y/12]}/10]+8xI[{R[y/12]}/11] (Mod 12)'. Hom=5+2xR[2047/12]-9xI[{R[2047/12]}/3]+6xI[{R[2047/12]}/4]-6xI[{R[2047/12]}/5]+I[{R[2047/12]}/6]+6xI[{R[2047/12]}/7]-6xI[{R[2047/12]}/9]+2xI[{R[2047/12]}/10]+8xI[{R[2047/12]}/11] (Mod 12). Hom=5+2x7-9xI[7/3]+6xI[7/4]-6xI[7/5]+I[7/6]+6xI[7/7]-6xI[7/9]+2xI[7/10]+8xI[7/11] (Mod 12). Hom=19-9xI[2.3333]+6xI[1.75]-6xI[1.4]+I[1.1666]+6xI[1]-6xI[0.7777]+2xI[0.7]+8xI[0.6363] (Mod 12). Hom=19-9x2+6x1-6x1+1+6x1-6x0+2x0+8x0 (Mod 12). Hom=7 (Mod 12).
Example of Formula: YukIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Yuk=5-3xR[y/4] (Mod 12)'. Yuk=5-3xR[1976/4] (Mod 12). Yuk=5-3x0 (Mod 12). Yuk=5 (Mod 12). Yuk=5.
Example of Formula: GakIf y=1976, apply the Yearon Formula for year `y' in A.D., `Gak=3xI[{R[2047/12]}/3] (Mod 12)'. Gak=3xI[{R[2047/12]}/3] (Mod 12). Gak=3xI[7/3] (Mod 12). Gak=3xI[2.333] (Mod 12). Gak=3x2 (Mod 12). Gak=6 (Mod 12). Gak=6.
Example of Formula: YsiIf y=1976, apply the Yearon Formula for year `y' in A.D., `Ysi=&C{R[y/12]=0, 1:10}&C{R[y/12]=3, 10:4}&C{R[y/12]=4, 8:1}&C{R[y/12]=5:2}&C{R[y/12]=9:9} (Mod 12)'. Ysi=&C{R[1976/12]=0, 1:10}&C{R[1976/12]=3, 10:4}&C{R[1976/12]=4, 8:1}&C{R[1976/12]=5:2}&C{R[1976/12]=9:9} (Mod 12). Ysi=&C{8=0, 1:10}&C{8=3, 10:4}&C{8=4, 8:1}&C{8=5:2}&C{8=9:9} (Mod 12). Ysi=&C{8=4, 8:1} (Mod 12). Ysi=1 (Mod 12). Ysi=1.
Example of Formula: KamIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Kam=9xR[y/4] (Mod 12)'. Kam=9xR[1976/4] (Mod 12). Kam=9x0 (Mod 12). Kam=0 (Mod 12). Kam=0.
Example of Formula: CanIf y=1976, then R[y/6]=2. Apply the Yearon Formula for year `y' in A.D., `Can=9+R[(y+2)/6] (Mod 12)'. Can=9+R[(1976+2)/6] (Mod 12). Can=9+R[1978/6] (Mod 12). Can=9+4 (Mod 12). Can=13 (Mod 12). Can=13-12. Can=1.
Example of Formula: BauIf y=1976, then R[y/6]=2. Apply the Yearon Formula for year `y' in A.D., `Bau=3+R[(y+2)/6] (Mod 12)'. Bau=3+R[(1976+2)/6] (Mod 12). Bau=3+R[1978/6] (Mod 12). Bau=3+4 (Mod 12). Bau=7 (Mod 12). Bau=7.
Example of Formula: ChmIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Chm=9xR[y/4] (Mod 12)'. Chm=9xR[1976/4] (Mod 12). Chm=9x0 (Mod 12). Chm=0 (Mod 12). Chm=0.
Example of Formula: PanIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Pan=1+9xR[y/4] (Mod 12)'. Pan=1+9xR[1976/4] (Mod 12). Pan=1+9x0 (Mod 12). Pan=1 (Mod 12). Pan=1.
Example of Formula: YikIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Yik=2+9xR[y/4] (Mod 12)'. Yik=2+9xR[1976/4] (Mod 12). Yik=2+9x0 (Mod 12). Yik=2 (Mod 12). Yik=2.
Example of Formula: SikIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Sik=3+9xR[y/4] (Mod 12)'. Sik=3+9xR[1976/4] (Mod 12). Sik=3+9x0 (Mod 12). Sik=3 (Mod 12). Sik=3.
Example of Formula: WahIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Wah=4+9xR[y/4] (Mod 12)'. Wah=4+9xR[1976/4] (Mod 12). Wah=4+9x0 (Mod 12). Wah=4 (Mod 12). Wah=4.
Example of Formula: CipIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Cip=5+9xR[y/4] (Mod 12)'. Cip=5+9xR[1976/4] (Mod 12). Cip=5+9x0 (Mod 12). Cip=5 (Mod 12). Cip=5.
Example of Formula: JoiIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Joi=6+9xR[y/4] (Mod 12)'. Joi=6+9xR[1976/4] (Mod 12). Joi=6+9x0 (Mod 12). Joi=6 (Mod 12). Joi=6.
Example of Formula: TstIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Tst=7+9xR[y/4] (Mod 12)'. Tst=7+9xR[1976/4] (Mod 12). Tst=7+9x0 (Mod 12). Tst=7 (Mod 12). Tst=7.
Example of Formula: ZhiIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Zhi=8+9xR[y/4] (Mod 12)'. Zhi=8+9xR[1976/4] (Mod 12). Zhi=8+9x0 (Mod 12). Zhi=8 (Mod 12). Zhi=8.
Example of Formula: HamIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Ham=9+9xR[y/4] (Mod 12)'. Ham=9+9xR[1976/4] (Mod 12). Ham=9+9x0 (Mod 12). Ham=9 (Mod 12). Ham=9.
Example of Formula: YutIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Yut=10+9xR[y/4] (Mod 12)'. Yut=10+9xR[1976/4] (Mod 12). Yut=10+9x0 (Mod 12). Yut=10 (Mod 12). Yut=10.
Example of Formula: MonIf y=1976, then R[y/4]=0. Apply the Yearon Formula for year `y' in A.D., `Mon=11+9xR[y/4] (Mod 12)'. Mon=11+9xR[1976/4] (Mod 12). Mon=11+9x0 (Mod 12). Mon=11 (Mod 12). Mon=11.
Example of Formula: KimIf y=1976, apply the Yearon Formula for year `y' in A.D., `Kim=8+y (Mod 12)'. Kim=8+1976 (Mod 12). Kim=1984 (Mod 12). Kim=1984-165x12. Kim=4.
Example of Formula: ZeeIf y=1976, apply the Yearon Formula for year `y' in A.D., `Zee=8+y (Mod 12)'. Zee=8+1976 (Mod 12). Zee=1984 (Mod 12). Zee=1984-165x12. Zee=4.
Example of Formula: FymIf y=1976, apply the Yearon Formula for year `y' in A.D., `Fym=9+y (Mod 12)'. Fym=9+1976 (Mod 12). Fym=1985 (Mod 12). Fym=1985-165x12. Fym=5.
Example of Formula: SogIf y=1976, apply the Yearon Formula for year `y' in A.D., `Sog=10+y (Mod 12)'. Sog=10+1976 (Mod 12). Sog=1986 (Mod 12). Sog=1986-165x12. Sog=6.
Example of Formula: SokIf y=1976, apply the Yearon Formula for year `y' in A.D., `Sok=11+y (Mod 12)'. Sok=11+1976 (Mod 12). Sok=1987 (Mod 12). Sok=1987-165x12. Sok=7.
Example of Formula: KunIf y=1976, apply the Yearon Formula for year `y' in A.D., `Kun=y (Mod 12)'. Kun=1976 (Mod 12). Kun=1976-164x12. Kun=8.
Example of Formula: SfuIf y=1976, apply the Yearon Formula for year `y' in A.D., `Sfu=1+y (Mod 12)'. Sfu=1+1976 (Mod 12). Sfu=1977 (Mod 12). Sfu=1977-164x12. Sfu=9.
Example of Formula: BuyIf y=1976, apply the Yearon Formula for year `y' in A.D., `Buy=2+y (Mod 12)'. Buy=2+1976 (Mod 12). Buy=1978 (Mod 12). Buy=1978-164x12. Buy=10.
Example of Formula: ArkIf y=1976, apply the Yearon Formula for year `y' in A.D., `Ark=3+y (Mod 12)'. Ark=3+1976 (Mod 12). Ark=1979 (Mod 12). Ark=1979-164x12. Ark=11.
Example of Formula: FooIf y=1976, apply the Yearon Formula for year `y' in A.D., `Foo=4+y (Mod 12)'. Foo=4+1976 (Mod 12). Foo=1980 (Mod 12). Foo=1980-165x12. Foo=0.
Example of Formula: SitIf y=1976, apply the Yearon Formula for year `y' in A.D., `Sit=5+y (Mod 12)'. Sit=5+1976 (Mod 12). Sit=1981 (Mod 12). Sit=1981-165x12. Sit=1.
Example of Formula: DiuIf y=1976, apply the Yearon Formula for year `y' in A.D., `Diu=6+y (Mod 12)'. Diu=6+1976 (Mod 12). Diu=1982 (Mod 12). Diu=1982-165x12. Diu=2.
Example of Formula: BagIf y=1976, apply the Yearon Formula for year `y' in A.D., `Bag=7+y (Mod 12)'. Bag=7+1976 (Mod 12). Bag=1983 (Mod 12). Bag=1983-165x12. Bag=3.
Example of Formula: CoiAssume a person was born at 6a.m. on 29th May,1917. y=1917. m=5 and h=6. Apply the Yearon Formula for year `y' in A.D., `Coi=8+y+m-A[h/2] (Mod 12)'. Coi=8+1917+5-A[6/2] (Mod 12). Coi=1930-A[3] (Mod 12). Coi=1930-3 (Mod 12). Coi=1927 (Mod 12). Coi=1927-160x12. Coi=7. If y=1976 and S=9, apply the Yearon Formula for year `y' in A.D., `Coi=S+8+y (Mod 12)'. Coi=9+8+1976 (Mod 12), Coi=1993 (Mod 12), Coi=1993-166x12, Coi=1.
Example of Formula: SauAssume a person was born at 6a.m. on 29th May,1917. y=1917. m=5 and h=6. Apply the Yearon Formula for year `y' in A.D., `Sau=8+y+m+A[h/2] (Mod 12)'. Sau=8+1917+5+A[6/2] (Mod 12). Sau=1930+A[3] (Mod 12). Sau=1930+3 (Mod 12). Sau=1933 (Mod 12). Sau=1933-161x12. Sau=1. If y=1976 and B=1, apply the Yearon Formula for year `y' in A.D., `Sau=B+8+y (Mod 12)'. Sau=1+8+1976 (Mod 12), Sau=1985 (Mod 12), Sau=1985-165x12, Sau=5.
Example of Formula: ChnIf y=2012, then R[y/60]=32. Apply the Yearon Formula for year `y' in A.D., `Chn=10-2xI[{56+R[y/60]}/10] (Mod 12)'. Chn=10-2xI[{56+R[2012/60]}/10] (Mod 12). Chn=10-2xI[{56+32}/10] (Mod 12). Chn=10-2xI[88/10] (Mod 12). Chn=10-2xI[8.8] (Mod 12). Chn=10-2x8 (Mod 12). Chn=10-16 (Mod 12). Chn= -6 (Mod 12). Chn=12-6. Chn=6.
Example of Formula: Chn2If y=2012, then R[y/60]=32. Apply the Yearon Formula for year `y' in A.D., `Chn2=11-2xI[{56+R[y/60]}/10] (Mod 12) or Chn2=Chn+1 (Mod 12)'. Chn2=11-2xI[{56+R[2012/60]}/10] (Mod 12). Chn2=11-2xI[{56+32}/10] (Mod 12). Chn2=11-2xI[88/10] (Mod 12). Chn2=11-2xI[8.8] (Mod 12). Chn2=11-2x8 (Mod 12). Chn2=11-16 (Mod 12). Chn2= -5 (Mod 12). Chn2=12-5. Chn2=7. Or, calculate `Chn2' from `Chn'. Chn2=Chn+1 (Mod 12). Chn2=6+1 (Mod 12). Chn2=7 (Mod 12). Chn2=7. Hence. Chn=6 and Chn2=7.