- INTRIGUED- MY FIRST TABLE IN
MATHEMATICS
I am greatly intrigued by the amazing ability of our ancestors to understand time and time period. The utterance of sound (சப்தம்- सभधम) precisely while chanting Vedas and Upanishads is amazing.
I remembered my first teacher a “BUFFALO HERD”, called எருமை மாட்டுகாரன் in Tamil. My parents sent me to this school after “AKSHARABHYAASAM” – अक्षराभ्यासम – அக்ஷராப்ஹ்யாசம் at home. He asked me to write “HARI NAMOSTHU SIDDAM” in Tamil.
The he started alphabets and after a few days, he made recite a rhyming table in Tamil , for which I did not know the meaning at that time . Later after I grew up, I found that I could not forget the table and stated to investigate about it. It turned out to be a MATHEMATICAL TABLE , involving Fractions.
Remember this was my first mathematical table That too starting with fractions, while now a days fractions start as late as 8+ and 9+ age.
I wrote the table as below and started contemplating on the denominator. It was amazing to find the denominators contributed to the place values of a SEVEN BIT MATRIX.
Remember 64 is a great number as given by “Sixty-four is the square of 8, the cube of 4, and the sixth power of 2. It is the smallest number with exactly seven divisors. It is the lowest positive power of two that is adjacent to neither a Mersenne prime nor a Fermat prime. 64 is the sum of Euler's totient function for the first fourteen integers. It is also a dodecagonal number and a centered triangular number. 64 is also the first whole number that is both a perfect square and a perfect cube.” 
- ஒரு மாஹாணி = மாஹாணி ; 1 X 1/64 = 1/64 = 1/ 26
இரண்டு மாஹாணி = முந்திரி ; 2x 1/64 = 1/32 = 25
இரண்டு முந்திரி = வீசம் ; 2 X 1/31 = 1/16 – 1/24
இரண்டு வீசம் = அரை கால்; 2 X 1/16 = 1/8 = 1/23
இரண்டு அரைகால் = கால் ; 2 X 1/8 = ¼ = 1/22
இரண்டுகால் = அரை ; 2 X ¼ = ½ = 1/21
இரண்டு அரை = ஒன்று 2 X 1/2 = 1 = 20
Thus taking denominators you get a 7 BIT MATRIX , 20 to 26
¬ 0 to 6 = 7 numbers = 7 places = 7 bits
¬ SEVEN BIT MATRIX
64 32 16 8 4 2 1
26 25 24 23 22 21 20
No wonder our ancestors mathematical ability was very high as seen from our architectural marvels , Astrology and Astronomy.
I shall256 come back with 8 bit matrix and place values. 256 is a great number for computer disc architects.
மன்னனுக்கு தன தேசம் அல்லால்
சிறப்பில்லை
கற்றோர்க்கு சென்ற இடமெல்லாம் சிறப்பு
A king is adored and respected
only in his country
A LEARNED is respected everywhere
BHASKARA RAYAR was born
at Baga in Maharashtra in the year 1690. He was send to KASI for vedic
Education by his father. After completing
his basic education , he started travelling aroung invited by various kings of different
countries. Under the benovelance of different kigs he did research on Scriptures and wrote books on Vedanta,
Meemamsa, Vyaakaran, Nyaaya, Smruthi, and Mantra shastra.
Above all these books ,
his treatise on the meaning of LALITHA SAHASRA NAAMAM is appreciated very much even to day ; where
in he has quoted from a number of books , broad casting his wide reading and
knowledge.
A number of rich men
joined him as his students and have helped him to restore many temples during
his life time.
He was invited by Chola
king too. The CHOLA king named a Village after him and called it
BHASKARARAJAPURAM, near Thiruvalangadu , in Tanjote District. He died in 1755
at the age of 95 at the Madyarjuna kshetram (Thiruvidaimaruthur)
He has written a book known
as “VARIVASYA RAHASYAM” , dealing with Maataa GAYATHRI and GODDESS LALITHA and
concludes that both are the same. In this treatise , he gives the way the
SLOKAS and MANTRAS to be pronounced and gives the time scale for the various time periods in Sanskrit
We discussed earlier about the 7 BIT MATRIX and the TAMIL TABLE
about FRACTIONS.
BHASKARA RAYAR GOES A
STEP FORWARD TO EIGHT BIT MATRIX , perhaps a precursor to BINARY ARITHMATIC.
It is amazing to see PWERS OF TWO playing DEFINE
TIME PERIOD and to the smallest fraction of time.
Apart from these he defines
SOOKSHMA TIME PERIOOD ( VIRTUAL TIME PERIOD)
100 DRUDI –த்ருடி-ध्रुदी = 1 THATHPARAM –தத்பரம்-थथपाराम
30 THATHPARAM –தத்பரம்-थथपाराम = 1 NIMESHAM – நிமேஷம்- निमेशम.
3 ½ NIMESHAM – நிமேஷம்- निमेशम = Adhdhyushtam அத்த்யுஷ்டம்- अध्ध्युष्टम.
மிகச்சிறிய கால அளவு லவம்(LAVAM)
எனப்படும்
1 X லவம்(LAVAM) = சமனை (Samanai) समानै .
2 X லவம்(LAVAM) = வியாபிகை (VIYAABIGAI)
वियाबिगाई
4 X லவம்(LAVAM) = சக்தி (Sakthi) शक्ति
8 X லவம்(LAVAM) = நாதாந்தம் (Naadhaantham) नाधानतम
16 X லவம்(LAVAM) = நாதம் (Naadham) नाधम
32 X லவம்(LAVAM) = ரோதிணி (Rodhini) रोधिनी
64 X லவம்(LAVAM) = சந்திரகலை ( Chandrakalai) चन्द्रकला
128 X லவம்(LAVAM) = பிந்து = அரை மாத்திரை
= BIDHU or half maththirai = बिन्दु / अर्ध मातरा
256 X லவம்(LAVAM) = மாத்திரை (Maaththirai) मात्रा
