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

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

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Artrological Decade Bounds (S0) Formula for birth in B.C.: S0=&C{R[(&C[SC:m=0, f=1]+y-1)/2]=0:{{m-A[h/2] (Mod 12)}+I[(a-e)/10]} (Mod 12), R[(&C[SC:m=0, f=1]+y-1)/2]=1:{{m-A[h/2] (Mod 12)}-I[(a-e)/10]} (Mod 12)}
Artrological Decade Bounds (S0) Formula for birth in A.D.: S0=&C{R[(&C[SC:m=0, f=1]+y)/2]=0:{{m-A[h/2] (Mod 12)}+I[(a-e)/10]} (Mod 12), R[(&C[SC:m=0, f=1]+y)/2]=1:{{m-A[h/2] (Mod 12)}-I[(a-e)/10]} (Mod 12)}
Explanation`Astrological Decade Bounds' is called `Decade Bounds' in short. `Decade Bounds' is also named as `Large Bounds'. `Decade Bounds' is the focus of `Decade Fortune' because it shows the decade fortune in a zone of a person. The first `Decade Bounds' is called the `Initial Decade Bounds'. The first `Astrological Decade Bounds' is the same as the zone of `Soul', `S'. That is, the value of the first `Astrological Decade Bounds' is equal to `S'. The `Astrological Decade Bounds' moves consecutively either clockwisely or anti-clockwisely according to the `Revolution Mode' (RM) along the zones every ten years. There are altogether twelve zones. The zones recur from 0 to 11. They are integers and usually assigned to variable `X'. The `Revolution Mode' (RM) of `Decade Bounds' is a mathematical expression that can show the revolving direction of `Decade Bounds' in its `Fortune Track' (FT). There are altogether two different types of `Revolution Modes', namely `Clockwise Revolution Mode' (CRM) and `Anti-clockwise Revolution Mode' (ARM). The `Decade Bounds' of human being is revolving either clockwisely or anti-clockwisely in the `Fortune Track' (FT). It varies according to the `Sex Code' (SC) and the year of birth `y' in Gregorian calendar. For example, based on the calculation of Revolution Mode Formula `RM=R[(&C[SC:m=0, f=1]+y)/2]' for people born in A.D. or based on the calculation of Revolution Mode Formula `RM=R[(&C[SC:m=0, f=1]+y-1)/2]' for people born in B.C., if RM=0 it means that the `Revolution Mode' is clockwise. If RM=1 it means that the `Revolution Mode' is anti-clockwise. The standard general form of `Astrological Decade Bounds' Formula for people born in `y' A.D. is: S0=&C{R[(&C[SC:m=0, f=1]+y)/2]=0:{{m-A[h/2] (Mod 12)}+I[(a-E)/10]} (Mod 12), R[(&C[SC:m=0, f=1]+y)/2]=1:{{m-A[h/2] (Mod 12)}-I[(a-E)/10]} (Mod 12)}. The standard general form of `Astrological Decade Bounds' Formula for people born in `y' B.C. is: S0=&C{R[(&C[SC:m=0, f=1]+y-1)/2]=0:{{m-A[h/2] (Mod 12)}+I[(a-E)/10]} (Mod 12), R[(&C[SC:m=0, f=1]+y-1)/2]=1:{{m-A[h/2] (Mod 12)}-I[(a-E)/10]} (Mod 12)}. `y' is the year of birth after `Joint of Year' in Gregorian calendar. Usually, `Joint of Year' is on 4th of February. `Joint of Year' is same as `Joint of February'. `m' is the month of birth after `Joint of Month'. Usually, `Joint of Month' is from 3rd to 8th of the month. `h' is the real time at birth reckoning on a 24-hour base. `E' is `Destiny Characteristic Track' of a person. It is also called `Personal Characteristic' or `Spirit' (E) of a person. It is equivalent to `Minimum Age Decade Bounds' or `Minimum Age Decade Fortune' and `Minimum Age Decade Bounds' in Astrological Decade Fortune. Usually, it is denoted by conventional symbol `E'. But, people may use symbol `e' for convenience, comparative with numerology, because `E' and `e' all stand for `Minimum Age Decade Fortune' and `Minimum Age Decade Bounds'. But, people must understand that `E' and `e' are derived based on different theories and they are calculated from different formulae. The range of the values of `E' in astrology is from 2 to 6 only but the range of the values of `e' in numerology is from 0 to 10. In general `E' and `e' are not equal. `a' is the `Virtual Age' of a person in `Decade Bounds'. The `Virtual Age' of a person is reckoned starting from the moment of fertilization of an ovule to form an embryo of a baby. For a person was born in `x' A.D., if the birthday is before the `Joint of February', the virtual age `a' in `y' A.D. is a=y-x+2 else it is a=y-x+1. `Joint of February' is always regarded as the beginning of a new year. `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 `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. The `Astrological Decade Bounds' moves consecutively either clockwisely or anti-clockwisely along the zones every ten years. Thus, the time interval of `Decade Bounds' is 10 years. If we let the zone of `Soul' be `S', the zone of `Decade Bounds' at virtual age `a' be `S0' and `Minimum Age Decade Bounds' be 'E'. If one's age is less than `Minimum Age Decade Bounds', i.e. `a' is less than `E', one is not qualified to have a `Decade Fortune'. So, one has no `Decade Bounds' at that moment. The simplified form of `Astrological Decade Bounds' Formula for people born in `y' A.D. is: If a>E or a=E, S0=&C{R[(&C[SC:m=0, f=1]+y)/2]=0:S+I[(a-E)/10], R[(&C[SC:m=0, f=1]+y)/2]=1:S-I[(a-E)/10]} (Mod 12). The simplified form of `Astrological Decade Bounds' Formula for people born in `y' B.C. is: If a>E or a=E, S0=&C{R[(&C[SC:m=0, f=1]+y-1)/2]=0:S+I[(a-E)/10], R[(&C[SC:m=0, f=1]+y-1)/2]=1:S-I[(a-E)/10]} (Mod 12). `&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[y/n]' is a remainder function such that it takes the remainder of `y' divided by `n'. `n' is a natural number. Natural numbers are 1,2,3,4,5,……. 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. `A[n]' is an approximated integer function such that it takes the nearest whole number of `n'. `S0=(Mod 12)' is a modulated function such that if S0>11 then `S0' becomes `S0-12' and if S0<0 then `S0' becomes `S0+12'. Thus, the value range of `S0=(Mod 12)' is from 0 to 11.
ExampleAssume a male was born at 10:00 p.m. on 16th Jan., A.D.1962. Find the zone of `Astrological Decade Bounds' (S0) in A.D.2012. From the given data, we know that the `Sex Code' (SC) is `m' and m=0. `Minimum Age Decade Bounds' is E=4. According to Chinese lunar calendar, we know that `Joint of Month' before the date of birth is `Joint of January' which is at 3:35 a.m. on 6th Jan., A.D.1962. `Joint of Month' after the date of birth is `Joint of February' which is at 3:18 p.m. on 4th Feb., A.D.1962. So, J2=4+(15+18/60)/24 days in February. `Joint of February' is also `Joint of Year'. Since the birthday is before `Joint of Year' which is at 3:18 p.m. on 4th Feb., A.D.1962, it is regarded as previous year. That is, y=1961. The age of the person in A.D.2012 is a=2012-1961+1. a=52. Since the birthday at 10:00 p.m. on 16th January of A.D.1962 is after `Joint of Month' which is at 3:18 p.m. on 6th January of A.D.1962, the month of birth m=1. The time of birth is h=22 reckoning on 24-hour base. Apply the standard general form of `Astrological Decade Bounds' Formula for people born in A.D. S0=&C{R[(&C[SC:m=0, f=1]+y)/2]=0:{{m-A[h/2] (Mod 12)}+I[(a-E)/10]} (Mod 12), R[(&C[SC:m=0, f=1]+y)/2]=1:{{m-A[h/2] (Mod 12)}-I[(a-E)/10]} (Mod 12)}. The zone of `Astrological Decade Bounds' is S0=&C{R[(0+1961)/2]=0:{{1-A[22/2] (Mod 12)}+I[(52-4)/10]} (Mod 12), R[(0+1961)/2]=1:{{1-A[22/2] (Mod 12)}-I[(52-4)/10]} (Mod 12)}. S0=&C{R[1961/2]=0:{{1-A[11] (Mod 12)}+I[48/10]} (Mod 12), R[1961/2]=1:{{1-A[11] (Mod 12)}-I[48/10]} (Mod 12)}. S0=&C{1=0:{{1-11 (Mod 12)}+I[4.8]} (Mod 12), 1=1:{{1-11 (Mod 12)}-I[4.8]} (Mod 12)}. S0=&C{1=0:{{-10 (Mod 12)}+4} (Mod 12), 1=1:{{-10 (Mod 12)}-4} (Mod 12)}. S0=&C{1=0:{{12-10}+4]} (Mod 12), 1=1:{{12-10}-4} (Mod 12)}. S0=&C{1=0:{2+4} (Mod 12), 1=1:{2-4} (Mod 12)}. S0=&C{1=0:6 (Mod 12), 1=1:-2 (Mod 12)}. S0=&C{1=0:6, 1=1:12-2}. S0=&C{1=0:6, 1=1:10}. Since the truth value of `&C[1=0]' is false and the truth value of `&C[1=1]' is true, S0=10. Assume a male was born at 10:35 a.m. on 27th Sept., A.D.1952 and the zone of `Soul' S=4. Find the zone of `Astrological Decade Bounds' (S0) in A.D.2007. From the given data, we know that the `Sex Code' (SC) is `m' and m=0. The `Minimum Age Decade Bounds' is E=6. According to Chinese lunar calendar, we know that `Joint of Month' before the date of birth is `Joint of September' which is at 1:14 a.m. on 8th Sept., A.D.1952. `Joint of Month' after the date of birth is `Joint of October' which is at 4:33 p.m. on 8th Oct., A.D.1952. Since the birthday is after `Joint of Year' which is at 4:54 a.m. on 5th Feb., A.D.1952, y=1952. The virtual age of the person in A.D.2007 is a=2007-1952+1. a=56. Since the birthday at 10:35 a.m. on 27th Sept., A.D.1952 is after `Joint of Month' which is at 1:14 a.m. on 8th Sept., A.D.1952, the month of birth m=9. Apply the `Astrological Decade Bounds' Formula for people born in A.D. If a>E or a=E, S0=&C{R[(&C[SC:m=0, f=1]+y)/2]=0:S+I[(a-E)/10], R[(&C[SC:m=0, f=1]+y)/2]=1:S-I[(a-E)/10]} (Mod 12). The zone of `Astrological Decade Bounds' is S0=&C{R[(0+1952)/2]=0:4+I[(56-6)/10], R[(0+1952)/2]=1:4-I[(56-6)/10]} (Mod 12). S0=&C{R[1952/2]=0:4+I[50/10], R[1952/2]=1:4-I[50/10]} (Mod 12). S0=&C{0=0:4+I[5], 0=1:4-I[5]} (Mod 12). S0=&C{0=0:4+5, 0=1:4-5} (Mod 12). S0=&C{0=0:9, 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, S0=9 (Mod 12). S0=9. Assume a female was born at 12:23 p.m. on 20th Apr., A.D.1926 and the zone of `Soul' S=10. Find the zone of `Astrological Decade Bounds' (S0) in A.D.1997. From the given data, we know that the `Sex Code' (SC) is `f' and f=1.The `Minimum Age Decade Bounds' is E=3. According to Chinese lunar calendar, we know that `Joint of Month' before the date of birth is `Joint of April' which is at 9:19 p.m. on 5th Apr., A.D.1926. `Joint of Month' after the date of birth is `Joint of May' which is at 3:09 p.m. on 6th May, A.D.1926. Since the birthday is after `Joint of Year' which is at 9:39 p.m. on 4th Feb., A.D.1926, `Year of Birth' y=1926. The virtual age of the person in A.D.1997 is a=1997-1926+1. a=72. Since the birthday at 12:23 p.m. on 20th Apr., A.D.1926 is after `Joint of Month' which is at 9:19 p.m. on 5th Apr., A.D.1926, the month of birth m=4. Apply the `Astrological Decade Bounds' Formula for people born in A.D. If a>E or a=E, S0=&C{R[(&C[SC:m=0, f=1]+y)/2]=0:S+I[(a-E)/10], R[(&C[SC:m=0, f=1]+y)/2]=1:S-I[(a-E)/10]} (Mod 12). The zone of `Astrological Decade Bounds' is S0=&C{R[(1+1926)/2]=0:10+I[(72-3)/10], R[(1+1926)/2]=1:10-I[(72-3)/10]} (Mod 12). S0=&C{R[1927/2]=0:10+I[69/10], R[1927/2]=1:10-I[69/10]} (Mod 12). S0=&C{1=0:10+I[6.9], 1=1:10-I[6.9]} (Mod 12). S0=&C{1=0:10+6, 1=1:10-6} (Mod 12). S0=&C{1=0:16, 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, S0=4 (Mod 12). S0=4.

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