Even more patterns come out of that.......................taking out the primes........from the simplified fractions............5, 11, 3, 13, 7..................from 5 to 11.....is 6.......from 11 to 3....is 8....like 68%.....the 1st stand dev from the norm..... 68 95 99.............one is in the 60s.....two in the 90s..........9 + 9 = 18.......a truncated pi..........to of them ........one emerges from comparing the 2nd with the 3rd.....like 2 and 3.....the start of all primes........and one from just using the 3rd.......99.....9 + 9 = 18.........67, 71.........89. 97.....two prime pairs......under 100.......whose single digit matches the next primes double digit........9 + 9 = 18....in 89 and 97.............. 9/8, 10/8, 11/8, 12/8, 13/8, 14/8, 15/8, 16/8 9/8, 5/4, 11/8, 3/2, 13/8, 7/4, 15/8, 2.....................
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0 and 1.....sum to 1....when comparing their sums and products.....the base comes out, 10...........addition is more basic than multiplication.......addition is the most fundamental process in all math...simple summing...............3 and 2.....like 3/2 = 1.5............the 1st 5 primes, the 1st 5 non primes.......from the c line at 1/2 to 2, 0 is a distance of 3/2.......1.5.............12..........is the 1st of all that in double digits....two types of leaps...... 0 + 1 = 1 0 * 1 = 0 1 + 2 = 3 1 * 2 = 2 2 + 3 = 5 2 * 3 = 6 3 + 4 = 7 3 * 4 = 12 It is the 4th pair.................like 24.....like 11 + 13 = 24.....like 72/3 = 24...............like 2/4 = 1/2.......3 * 4 = 12.......12 is like 1/2, the c line.................2 + 2 = 4......2 * 2 = 4.....balance and a leap at 4..........for the 4th pair.............a line in the 4th dimension..................
2 - 11............the prime fund...??? One of them......maybe.....sum to 65.......the average is 6.5....patterns.........5 and 6............................ 2, 3, 5, 7 2, 4, 6, 8 4, 7, 11, 15.....................break that in half.......4 + 7 = 11.....11 + 15 = 26.....iron.....change in a star......26...........2/6 = 1/3.........1/3 from the harmonic series............................11 + 26 = 37............37 becomes 10......the base.......3 + 7 = 10.............10 is also the sum of the 1st 5 non primes......4, 6.....8. 9. 10..........a 2 and 3...when grouped like that.....set theory.......8, 9 and 10.....sum to 27.......like e Taking the 1st 5 primes................2, 3........5, 7, 11..............a 2 and 3...pattern...when grouped like that ...AND 5, 7, and 11 sum to 23.........................a right triangle.....whose largest angle is 90.........with sides 2 and 3......has a hyp of the square root of 13......which starts out..3.60.....full circle... 0 + 1 = 1 0 * 1 = 0...
Girl power!! I hope you are well Adri.......................compare the sums and products.......... 2, 3, 5, 7, 2, 4, 6, 8 The 1st 4 primes.......and the 1st 4 even numbers........like 14i..........and every even negative integer.............add the two lists.....straight down.......4, 7, 11, 15.................4 and 7......the 1st 10 numbers of e sum to 47..............47 is the last prime under 50......50 is half way from 0 to 100.......0 - 100...........adding them one by one...sum to 5050.....50 + 50 = 100.......fractal patterns... a quantum leap at 4.....for successive pairs.....and one that resembles pi..3.14........ 0 + 1 = 1 0 * 1 = 0 1 + 2 = 3 1 * 2 = 2 2 + 3 = 5 2 * 3 = 6 3 + 4 = 7 3 * 4 = 12 It is the 4th pair.................like 24.....like 11 + 13 = 24.....like 72/3 = 24...............like 2/4 = 1/2.......3 * 4 = 12.......12 is like 1/2, the c line.................2 + 2 = 4......2 * 2 = 4.....balance and a leap at 4..........for the 4th pair.............a ...
Symmetry is one of the major keys......fractal patterns..........4d.....the tesseract.....a square in a square.....like Russian dolls...............one inside the other.......2 3 dimensional objects........4d.........a quantum leap at 4.....for successive pairs.....and one that resembles pi..3.14........ 0 + 1 = 1 0 * 1 = 0 1 + 2 = 3 1 * 2 = 2 2 + 3 = 5 2 * 3 = 6 3 + 4 = 7 3 * 4 = 12 It is the 4th pair.................like 24.....like 11 + 13 = 24.....like 72/3 = 24...............like 2/4 = 1/2.......3 * 4 = 12.......12 is like 1/2, the c line.................2 + 2 = 4......2 * 2 = 4.....balance and a leap at 4..........for the 4th pair.............a line in the 4th dimension.................. Emmy Noether | German mathematician | Britannica.com https://www.britannica.com/biography/Emmy-Noether Emmy Noether , in full Amalie Emmy Noether , (born March 23, 1882, Erlangen, Germany—died April 14, 1
So many 13's........the 1st 3 numerators of the simplified fractions......are 113........41, 43, and 47...sum top 131...............43 + 47 = 90...............like a right angle.........3 fours..........41, 43, and 47.......3 primes..................using just the double digits of each prime.....is 3 fours.....imp. b/c 3 + 4 = 7....3 * 4 = 12...................7 + 12 = 19..............1/9 + 1/10...a jump..........3 and 4 yield a "quantum leap".......for successive pairs............when u compare their products to their sums................ 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, 1/1....(1).............every other term simplifies.........all the primes do not........................... The critical line at 1/2.....1/8th and 2/8th are the 1st two fractions...............just like the c line.....and 1828 in e..............3 - 10...........3 + 10 = 13............14.13i........the square root of 13 starts.....3.60555.........like full circl...
Fractal patterns.....chaos theory........10/8 is like 18.............and 5/4......which is the 3rd term of Euler's product with a s of 1...........and 1828459045 in e..............459045 is the 11 - 16th number in e.........and another fractal e....11 + 16 = 27.....also imp.......459045....is the 1st pattern of numbers greater than the 10th number in e....10 is the base.............a fractal pattern in itself..........7/4 is like 47.......the 1st 10 numbers of e sum to 47...........4 + 7 = 11.............11/10 is the 5th term of Euler's product..............................41, 43, 47....sum to 131...........and are the 1st 3 primes in a 0 to 0 ten digit sequence.............40 - 50..........45 again....like a 45/45 degree right triangle.................9 and 15......the two different ones...both divisible by 3.......the 2nd prime......9/3 = 3.........15/3 = 5............5/3 = 1.666......like the golden ratio....................... 9/8, 10/8, 11/8, 12/8, 13/8, 14/8, 15/8, 16/...
A person can do a lot if they try........put forth effort.......symmetry is very important.. www.youtube.com Noether's (first) theorem states that every differentiable symmetry of the action of a physical system has a corresponding conservation law. The theorem was proven by mathematician Emmy Noether in 1915 and published in 1918, although a special case was proven by E. Cosserat & F. Cosserat in 1909.
Fractions greater than 1...............half simplify, half do not.........1/9 + 1/10.....two 19s.....1828 1828...summed 1 by 1......yield two 19s.........as does the jump in the h.s.........from single digit denominators to double digit denominators....................8 up, 8 down..16 over all..........just like 1.618.....the golden ratio...............................5, 11, ,3, 13, 7, 15 .........and a whole number....2...........7 then 1...............2.71........e..........67, 71......the 1st prime pair to match one primes single digit to the next primes double digit.....the imp. part......connection.............15.........teh 1st 5 primes...connect single digits to double digits......and sum to 28....which is the 2nd perfect number.......and in 2 pi.........6.28..........which, when taken together...like that is the 1st 2 perfect numbers......6 and 28................9 and 15....................the 1st hill north of 1, 0 is at like 9.986i they tell me..............9 is imp. b/c its ...
The Music of the Primes said that B Riemann had found nature's winning lottery ticket...... 9/8, 10/8, 11/8, 12/8, 13/8, 14/8, 15/8, 16/8 9/8, 5/4, 11/8, 3/2, 13/8, 7/4, 15/8, 2..................... It is imp. to understand why that matches the other stuff.....patterns...........9 and 15......sum to 24........11 + 13 = 24.................72/3 = 24........2/4 = 1/2..................but 72/4 = 18.....1/8 is asymmetrical....compared to the 1st two interest rates...2 and 3...which are the 1st 2 primes.......it takes 36 years for money to double at a 2 % interest rate and 24 years for a 3% interest rate......36, and 24....both equal 1/2.........if you divide the double digit by the single digit.......2/4 = 1/2 3/6 = 1/2...........but 18 doesn't........... 68 95 99 The 1st 3 standard deviations................6 + 8 = 14...........9 + 5 = 14.......99 is different.....9 + 9 = 18.....pi is everywhere.....9 * 2 = 18...............9 * 3 = 2...
After 9/8..............also 9 + 8 = 17.......the 1st 4 primes, all in single digits, sum to 17..........2, 3, 5, 7..sum to 17...................the connection between addition and multiplication..1/2 + 14i........14i could stand for 1st 4.................1/2.....the 1st two.....single digits, double digits, etc... 9/8, 10/8, 11/8, 12/8, 13/8, 14/8, 15/8, 16/8.............the last is just like the golden ratio......which starts 1.618........................the dividing line is the other 1.......................every other term simplifies........every other negative integer.........16/8 = 2...........2 pi....2 is the both the 1st prime and the 1st even number............and kinda the 1st number....b/c 0 and 1 are so imp........both as numbers and expressions of a sort....b/c every number is a scaled version of 1....or the distance from 0 on the number line............. 9/8, 10/8, 11/8, 12/8, 13/8, 14/8, 15/8, 16/8 9/8, 5/4, 11/8, 3/2, 13/8, 7/4, 15/8, 2..................... Also.....
If u continued that....breaking the unit circle into 8ths...... 9/8 would be the 1st 1/8 greater than pi..........pi is just 8/8...........8 + 8 = 16.....fractal patterns galore........9/8 is imp. why? 9 * 8 = 72..........the rule of 72 in finance.......72/2 = 36.............36 years for your money to double with a 2% interest rate..........72/3 = 24..........11 + 13 = 24......17 + 19 = 36............the 1st 4 primes in double digits.....11, 13, 17, 19.....all four sum to 60...........36....a truncated full circle.............end to beg and the two middle sum to 2 30s......like 2, 3...............72/4 = 18..........18 again...............like 1/8.....like 1/8 = 0.125.........1 + 2 + 5 = 8.......symmetry..........pi = 3.14...............3 + 1 + 4 = 8........8......the most stable electron orbital...............8 electrons is the most stable to be in a given distance from the nucleus..........also imp. b/c 3.141..............3.14......makes sense............b/c 1 repeats.............
Breaking the unit circle into 16 parts.....like an imaginary golden ratio.....1.6....................8 up and 8 down.......an equal number in the positive and an equal number in the negatives........balance......... A single note vibrating produces other notes above itself that we call harmonics. An octave is one of these harmonic notes produced by the original note vibration. If the frequency of your fundamental note is 110Hz, then an octave higher is twice that (220Hz) and another octave higher than 220Hz is 440Hz and so on. Both of these higher octaves are produced by the fundamental note. These are even numbered harmonics (2, 4, 8 etc). The odd numbered harmonics make notes that are more distinctly different than the fundamental. If your fundamental is A you would get the following: A A E A C# E G A 1 2 3 4 5 6 7 8
Also.....9 * 2 = 18........a truncated pi.....180 degrees......chaos theory....the butterfly effect....Lorentz noticed that it was the truncated numbers which formed the pattern.............. .. Overtone Series - Pages.mtu.edu https://pages.mtu.edu/~suits/overtone.html To understand how the scale arises from the overtone series , imagine vibrations on a ... Since notes can be translated by an octave by multiplying or dividing the ...
As with the unit circle.....8 up and 8 down...................the dividing line being the x axis.......half positive, half negative...............1/8 pi to 8/8 pi........them 9/8pi to 16/8 pi for the bottom half......all in the negative side.......................1/8 then 2/8...........18281828.........the "curious repetition of 1828 in e"..... Using the Greek observation that banging the side of an urn filled with water makes a note go up an octave......1/8th.....................16 total 1/8ths in 2pi......even negative even number on the x axis has a zero......every even integer is every other one......... 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8.....they are all 1/8s of pi.................all the even numerators simplify........8 is an even number..........every other fraction simplifies........ 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, 1/1....(1).............every other term simplifies.........all the primes do not.........................
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