Multiplication Zones (18-30)

In this one system, represented as an icon, we can see the distribution profile of the prime numbersas well as their products via a chessboard-like model in Fig. 4. This fundamental chewing

• We show the connection in the MEC 30 mathematically and precisely in the table Fig. 13. The organization of this table is based on the well-known idea of ​​Christian Goldbach.
• That every even number from the should be the sum of two prime numbers. From now on we call all pairs of prime numbers without “1”, 2, 3, 5 Goldbach couples.

The MEC 30 transforms this idea from Christian Goldbach into the structure of a numerical double strand, into an opposite link of the MEC 30 scale. (MEC 30 - pdf)

A square system of coupled nonlinear equations can be solved iteratively by Newton’s method. This method uses the Jacobian matrix of the system of equations. (Wikipedia)

Integration of ordinary and stochastic master equations is performed on density operators parametrized by 𝑑² real numbers, where 𝑑 is the dimension of the system Hilbert space.

• These are the components of the density operator as a vector in a basis that is Hermitian and, excepting the identity, traceless.
• Since the ordinary and stochastic master equations - pdf under consideration are trace preserving, one could neglect the basis element corresponding to the identity.

But as the module currently stands it is included to simplify some expressions and provide a simple test to make sure calculations are proceeding as they ought to. (PySME-pdf)

He designed a new approach to predicting market behavior using several disciplines, including geometry, astrology, astronomy, and ancient mathematics. They say that not long before his death, Gann developed a unique trading system. However, he preferred not to make his invention public or share it with anyone. (PipBear)

The Hexagon chart begins with a 0 in the center, surrounded by the numbers 1 through 6. Each additional layer adds 6 more numbers as we move out, and these numbers are arranged into a Hexagon formation. This is pretty much as far as Gann went in his descriptions. He basically said, “This works, but you have to figure out how.”One method that I’ve found that works well on all these kinds of charts is plotting planetary longitude values on them, and looking for patterns. On the chart above, each dot represents the location of a particular planet. The red one at the bottom is the Sun, and up from it is Mars. These are marked on the chart. Notice that the Sun and Mars are connected along a pink line running through the center of the chart. The idea is that when two planets line up along a similar line, we have a signal event similar to a conjunction in the sky. Any market vibrating to the Hexagon arrangement should show some kind of response to this situation. (Wave59)

Cell types are interesting, but they simply reflect a modulo 6 view of numbers. More interesting are the six internal hexagons within the Prime Hexagon. Like the Prime Hexagon, they are newly discovered. The minor hexagons form solely from the order, and type, of primes along the number line (HexSpin).

It turns out that quantum string theory always destroys the symmetries of classical string theory, except in one special case: when the number of dimensions is 10. Moreover this model represents Quark-Gluon Plasma, with all of the fundamental forces in the early stage after Big Bang which probably comes from Absolute Nothingness.

The first 1000 prime numbers are silently screaming: “Pay attention to us, for we hold the secret to the distribution of all primes!” We heard the call, and with ‘strange coincidences’ leading the way have discovered compelling evidence that the 1000th prime number,

• 7919, is the perfectly positioned cornerstone of a mathematical object with highly organized substructures and stunning reflectional symmetries.
• This object is dually enveloped by 892 = 7921 and 7920 = 22 x 360 in conjunction with 1092 − 892 = 3960 = 11 x 360 (while mindful that both 1/89 and 1/109 have the Fibonacci sequence secreted in their decimal expansions).
• And we note the astonishing fact that primes 11 + 89 + 109 + 7919 = 8128, the fourth perfect number, the first three of which are 6, 28, and 496.

By the matrices shown in the picture below it is clearly shows that there is a fascinating connection between prime numbers and the Golden ratio.

When the digital root of perfect squares is sequenced within a modulo 30 x 3 = modulo 90 horizon, beautiful symmetries in the form of period-24 palindromes are revealed, which the author has documented on the On-Line Encyclopedia of Integer Sequences as Digital root of squares of numbers not divisible by 2, 3 or 5 (A24092):

1, 4, 4, 7, 1, 1, 7, 4, 7, 1, 7, 4, 4, 7, 1, 7, 4, 7, 1, 1, 7, 4, 4, 1

In the matrix pictured below, we list the first 24 elements of our domain, take their squares, calculate the modulo 90 congruence and digital roots of each square, and display the digital root factorization dyad for each square (and map their collective bilateral 9 sum symmetry). (PrimesDemystified)

In the matrix pictured below, we list the first 24 elements of our domain, take their squares, calculate the modulo 90 congruence and digital roots of each square, and display the digital root factorization dyad for each square (and map their collective bilateral 9 sum symmetry). (PrimesDemystified)

The terminating digits of the prime root angles (24,264,868; see illustration of Prime Spiral Sieve) when added to their reversal (86,846,242) = 111,111,110.

• And when you combine the terminating digit symmetries described above, capturing three rotations around the sieve in their actual sequences, you produce the ultimate combinatorial symmetry:
• The pattern of 9’s created by decomposing and summing either the digits of Fibonacci numbers indexed to the first two rotations of the spiral (a palindromic pattern {1393717997173931} that repeats every 16 Fibo index numbers) or, similarly, decomposing and summing the prime root angles.
• The decomposition works as follows (in digit sum arithmetic this would be termed summing to the digital root) of F17 (the 17th Fibonacci number) = 1597 = 1 + 5 + 9 + 7 = 22 = 2 + 2 = 4:Parsing the squares by their mod 90 congruence reveals that there are 96 perfect squares generated with each 4 * 90 = 360 degree cycle, which distribute 16 squares to each of 6 mod 90 congruence sub-sets defined as n congruent to {1, 19, 31, 49, 61, 79} forming 4 bilateral 80 sums. (PrimesDemystified)

The vortex theory of the atom was a 19th-century attempt by William Thomson (later Lord Kelvin) to explain why the atoms recently discovered by chemists came in only relatively few varieties but in very great numbers of each kind.

• The vortex theory of the atom was based on the observation that a stable vortex can be created in a fluid by making it into a ring with no ends. Such vortices could be sustained in the luminiferous aether, a hypothetical fluid thought at the time to pervade all of space. In the vortex theory of the atom, a chemical atom is modelled by such a vortex in the aether.
• Knots can be tied in the core of such a vortex, leading to the hypothesis that each chemical element corresponds to a different kind of knot. The simple toroidal vortex, represented by the circular “unknot” 01, was thought to represent hydrogen. Many elements had yet to be discovered, so the next knot, the trefoil knot 31, was thought to represent carbon.

However, as more elements were discovered and the periodicity of their characteristics established in the periodic table of the elements, it became clear that this could not be explained by any rational classification of knots. This, together with the discovery of subatomic particles such as the electron, led to the theory being abandoned. (Wikipedia)

This web enabled demonstration shows a polar plot of the first 20 non-trivial Riemann zeta function zeros (including Gram points) along the critical line Zeta(1/2+it) for real values of t running from 0 to 50. The consecutively labeled zeros have 50 red plot points between each, with zeros identified by concentric magenta rings scaled to show the relative distance between their values of t. Gram’s law states that the curve usually crosses the real axis once between zeros. (TheoryOfEverything)