Saturday, July 28, 2012

Numerology for Nepits


Nepit is the Egyptian mythological goddess of grain (later in Egyptian Mythology, Osiris is attributed with many of the traits of lesser gods and goddess like Nepit). Nepit is often depicted sprawled on a bed of grain with beer flowing from her dozen count nipples (well that's my interpretation), suckling all the little man-children. Neper was Nepit's brother and Neper is also the logarithmic unit of ratios, so named after John Napier the discoverer of logarithms.
Grain Goddess of Logarithms and Beer... Coincidental? I think not.
The Nepit is also the logarithmic unit of entropy or information, otherwise known as the nit or simply a nat. So, rather than base two bits, as in 1s and 0s, nats are based on natural logs and the powers of e. This number “e” is a bit a special number, rather like a Rosetta stone that connects all number bases, the everyday based 10 with the digital base 2 system and actually any base you care to choose. This “e” base also has some useful identities connecting the unit circle with pi and the imaginary number plane... e^{i \pi} + 1 = 0\,\!
Euler's Formula in Polar coordinates along the intersection axis of the Real and Complex planes:e^{ix} = \cos x + i\sin x \
This all ties into something called Clock Arithmetic or more commonly known as modular arithmetic ...and with that you now know why you're here and what this post is really all about. This is a system of arithmetic for integers, where numbers "wrap around" after they reach a certain value, or as computer scientists say, the modulus. I'm not going to go all Digital Root on you, but maybe you learned it in grade school and forgot.  The classic example is know as "Casting out the nines."  You'll just have to look it up yourself.

People are actually quite good at recognizing patterns. Any number base has self-information evident by repetition of patterns due to Modulus arithmetic. People also have a physiological confirmation bias, where once we see a certain number we start to fixate on it. Target fixation has lead to the demise a great number of people who have dared to fly.
Aesthetes are a delusion, or in other words, looks are deceiving.
Numerologists see patterns in numbers because there are patterns in the digits. If you use numbers to symbolically represent anything; say the cycle of days, the stars or the planets, then you will start to see patterns in the digits.  There is indeed a deeper order to numbers however you must see through the symbols you use to explore them.

Learn Modular Arithmetic, Kids.   Become a Number Theory Nepit.

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