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The Language of the Divine Architect
The creation myths of many traditions describe the universe as the work of a Divine Architect who uses “sacred geometry” to unfold the dimensions of a beautiful cosmos, wisely designing every aspect of it, and governing by just proportions evidenced in the geometric shapes and processes of nature.
   
The language of God is mathematical language of numbers, proportions and (sacred) geometry.
“As Above, So Below” – these words circulate throughout occult and magical circles, and they come from Hermetic texts. The concept was first laid out in The Emerald Tablet of Hermes Trismegistus, in the words “That which is Below corresponds to that which is Above, and that which is Above, corresponds to that which is Below, to accomplish the miracles of the One Thing”
The entire Universe (including our solar system, as well as atoms, DNA and life-forms) reveals the secrets of balance, rhythm, proportion and unity in diversity, the fractal interconnection of parts with each other and the whole. This harmony is expressed by some “key” numbers: Fibonacci Series, Phi, Pi and “e”.
The first 21 Fibonacci numbers:
0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765
A simple number pattern, known as the Fibonacci Series, sits at the heart of the marvelous architecture and patterns of life and growth.
These few equations are the “seeds” of God’s “Grand Design” ( God’s “fingerprint”):
Pi = (6/5) * phi2
Euler’s Identity Equation:
where
e – is Euler’s number, the base of natural logarithms
i – is the imaginary unit, which satisfies i2 = sqrt(-1)
Pi – is the ratio of the circumference of a circle to its diameter
phi- is the the golden ratio number 1.618034
Mathematical beauty of Euler’s Identity
Euler’s identity is considered by many to be remarkable for its mathematical beauty. These three basic arithmetic operations occur exactly once each: addition, multiplication, and exponentiation. The identity also links five fundamental mathematical constants:
The number 0, the additive identity.
The number 1, the multiplicative identity.
The number Pi, which is ubiquitous in trigonometry, the geometry of Euclidean space, and analytical mathematics (Pi = 3.14159265…)
The number e, the base of natural logarithms, which occurs widely in mathematical and scientific analysis (e = 2.718281828…). Both “pi” and “e” are transcendental numbers.
The number i, the imaginary unit of the complex numbers, a field of numbers that contains the roots of all polynomials (that are not constants), and whose study leads to deeper insights into many areas of algebra and calculus, such as integration in calculus.
Furthermore, in algebra and other areas of mathematics, equations are commonly written with zero on one side of the equals sign.
A poll of readers conducted by The Mathematical Intelligencer magazine named Euler’s identity as the “most beautiful theorem in mathematics”. Another poll of readers that was conducted by Physics World magazine, in 2004, chose Euler’s identity tied with Maxwell’s equations (of electromagnetism) as the “greatest equation ever” — Wikipedia
A simple number pattern, known as the Fibonacci Series, sits at the heart of the marvelous architecture and patterns of life and growth.
Pi and phi
Pi = (6/5) * phi2
300 * Pi = 360 * phi2
For a circle with radius = 1 we get this equation for
(close approximation of) its circumference:
2 * Pi = (360/150) * phi2
There is another way to write this equation:
Pi – Phi2 = 0.2 * phi2
Lets calculate the value:
Pi – phi2 = 0.5236
this number in meters is equal 20.614 inches = 1 Royal Egyptian Cubit
(unit of length used by ancient Egyptians during construction of pyramids)
3:6:9
“If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe.” –-N.Tesla
Perhaps Tesla had in mind another thing altogether. It basically boiled down to energy/field/consciousness, which equates in to electricity/magnetism/consciousness, that made up Trinity. Energy is your divine spark, and field is the area you exist within. The 2 things that allow consciousness to isolate itself is electricity and magnetism. NOTHING in the physical universe exists outside energy and field…only then can you have consciousness reside inside a material existence.
3:6:9 … Perhaps these numbers were intentionally expressed by the pyramids of Giza…? There are 9 pyramids on the Giza plateau: 3 large pyramids and 6 small “satellite” pyramids. Also, the design of the Second (Khafre) Pyramid of Giza is based on ratio 9:6.
Note: 6:5 is another special ratio used in ancient times
The Fibonacci series has a pattern that repeats every 24 numbers
Numeric reduction is a technique used in analysis of numbers in which all the digits of a number are added together until only one digit remains. As an example, the numeric reduction of 256 is 4 because 2+5+6=13 and 1+3=4. Applying numeric reduction to the Fibonacci series produces an infinite series of 24 repeating digits:
1, 1, 2, 3, 5, 8, 4, 3, 7, 1, 8, 9, 8, 8, 7, 6, 4, 1, 5, 6, 2, 8, 1, 9
If you take the first 12 digits and add them to the second twelve digits and apply numeric reduction to the result, you find that they all have a value of 9.
1st 12 numbers: 1 1 2 3 5 8 4 3 7 1 8 9
2nd 12 numbers: 8 8 7 6 4 1 5 6 2 8 1 9
Numeric reduction – Add rows 1 and 2: 9 9 9 9 9 9 9 9 9 9 9 18
Final numeric reduction – Add digits of result: 9 9 9 9 9 9 9 9 9 9 9 9
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Messaggio 46 di 163 di questo argomento |
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Desde que la vi no la he podido olvidar... Relaciona los números imaginarios ( i = raíz cuadrada de ( –1)), con las potencias ( número e y logaritmos neperianos ) y con las funciones trigonométricas. Me ha permitido recordar, sin esfuerzo, fórmulas trigonométricas como la del seno o coseno de una suma de ángulos, del ángulo doble o mitad, y calcular, con facilidad, derivadas de funciones trigonométricas.
Nos la podemos encontrar en cualquier sitio, en cualquier expresión matemática pura o relacionada con algo tan prosaico como las relaciones de impedancias en un circuito de corriente alterna. En la función de onda de la mecánica cuántica o en cualquier expresión de naturaleza ondulatoria o periódica. En la técnica, en la física o en las matemáticas más abstractas ( Roger Penrose reflexiona– en su último libro,en el capítulo sobre las diferenciales complejas - lo que habría disfrutado Euler con todas las maravillas de su fórmula y de los números imaginarios ).
La fórmula de Euler fué demostrada por primera vez por Roger Cotes en 1714, y luego redescubierta y popularizada por Euler en 1748. Es interesante notar que ninguno de los descubridores vió la interpretación geométrica ( circunferencia en el plano complejo): la visión de los números complejos como puntos en el plano surgió unos 50 años mas tarde con Caspar Wessel, y d'Argaud.
En la figura, para el cálculo de la impedancia, el eje imaginario representa la reactancia, resultado de la resta entre la parte inductiva ( bobinas ) y la parte capacitiva ( condensadores). El ángulo ( phi ) que forman la impedancia con el eje real de la resistencia pura es sumamente importante en la industria, su coseno es lo que llamamos el factor de potencia que mide, en cierto modo, la eficiencia de un circuito. Para un ángulo grande la reactancia asociada es grande y obliga a las compañías eléctricas a suministrar una potencia reactiva adicional y a la industria a pagar un consumo innecesario. Este ángulo se corrige añadiendo baterías de condensadores que ofrecen una reactancia de signo contrario a la presentada por los motores industriales.
Lo tiene todo, es sencilla, bonita, elegante y útil, muy útil. Sin duda es una fórmula maravillosa.
http://labellateoria.blogspot.com.ar/2006/11/
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Jain 108's Original Mathematical Discoveries
Stay tuned for an ongoing series of all of Jain 108's original mathematical discoveries or
important contributions to the world of Mathematical Formulae, like:
1) -
re: Jain Discovered a distinct 24 repeating pattern in the Phi Ratio 1:1.618033... traditionally understood as a Transcendental irrational number that goes to infinity without any known pattern. Recorded, in my latest series of books: THE BOOK OF PHI, The Living Mathematics of Nature. Volumes 1 and 2.
2) -
I discovered a better way for defining the formula for "e" = 2.71828454590 etc. This is the Exponential Number for nature's growth and decay. "e" is the mathematical constant that measures the growth of human populations or viral colonies. It appears to act like the Phi Ratio, but is another separate entity, and is as important.
Published briefly in "In The Next Dimension" aka The Book of Phi, Volume 2, by Jain.- I Contributed two important Mathematical Discoveries:
3) -
Jain 108: Jain has contributed many original and unpublished sequences based on the mathematics of Digital Compression.
4) -
Jain 108: JainPi aka True Value of Pi = 3.144 Based on Square Root of Phi the Golden Root:
Jain's main discovery is the correction of traditional pi (3.1412…) to account for the missing area under the curve, based on fractality, that the true value of Pi (JainPi) is 3.144… which will lead humanity into the Space Age...
5) -
Connection to Phi and Prime Numbers 6) - Jain's main mathematical enquiry or research is to prove that the Golden mean (Phi 1:1.618...) connects all systems, whether it be biological, mineral, crystal, space, atom. eg: Phi is in the 3-4-5 Pythagorean Triangle. Phi is in the Equilateral, Phi is in 3 tangential circles etc. Jain can demonstrate that Phi is in Binary Numbers (1-2-4-8-16-32), Phi is in Prime Numbers, etc In fact, the True value of Pi is based on Phi, based specifically on the square root of Phi which is 1.272, that which Squares The Circle. Jain's life's work is to show that the Golden Mean underpins all creation and is part of all mathematical and biological systems.
7) -
The True Value of Pi = 3.144605511029693144...
JainPi Digits Multiplied:
8) -
Linking Phi (1.618) to the 360 Degree Circle Harmonic:
Jain Cracks Another Code (first published on Facebook, 2015)
MORE NOTES and DETAILS on JAIN 108'S DISCOVERIES:
1-a
The Origin or mathematical derivation of the Sri 108 Code based on the Infinitely Repeating 24 Pattern of the Digitally Compressed Fibonacci Sequence.
1-1-2-3-5-8-4-3-7-1-8-9-8-8-7-6-4-1-5-6-2-8-1-9
1-b
Cracking of the 111 and 888 Codes derived from the 3 Phi Codes:
(from: The Origin or mathematical derivation of the Sri 108 Code based on the Infinitely Repeating 24 Pattern of the Digitally Compressed Fibonacci Sequence).
Observe the "111" at the top of the wheel, and this is diametrically opposed by "888" at the bottom of the wheel. "888" is the sacred Asian Number, and is revealed in the structure of the digitally compressed 3 Phi Codes that each sum to 108.
1-c
Phi Code 1 Plotted Onto the 9 Point Circle
(Phi Codes 2 and 3 have also been plotted onto their respective 9 Point Circles, showing distinct symmetry)
1-d
Phi Code 2 Plotted Onto the 9 Point Circle
1-e
Phi Code 3 Plotted Onto the 9 Point Circle
1-f
Phi Codes as circular Waveforms (here Phi Codes 1 & 2 are shown)
2-
The Pervasiveness of Phi (1.618033988...). Jain can mathematical show that Phi is in all important systems, in biology, in crystals, in space, in atoms, and mathematically it is seen everywhere in the Doubling Binary Sequence (1-2-4-8-16-32-64), in the Pythagorean 3-4-5 Triangle, surprisingly in the Equilateral Triangle, in Magic Squares, in Prime Number Sequences etc.
3-
The True Value of Pi = 3.144605511029693144... based on the Square Root of Phi (1.272... which is the Height of the Cheops Pyramid in Gizeh, where the 4 sides of the base divided by the height give this value: 4 divided by 1.272... = 3.144...).
4-
The mathematical connection between The True Value of Pi and the Harmonic Speed of Light "Harmonic 144".
5-
The Radian has a new value, based on the True Value of Pi. JainPi Radian = 57.24... degrees and the traditional Radian = 57.29... degrees. The radian is the radius of the circle measured over the curve of the circle, more accurate or universal than the artificial 360 degree division.
6-
New Formula for "e" the Exponential Function, more simple than Euler's (pron. "Oiler"). "e" is like Phi, that is about biology and growth, but appears in the microscosmic measurements of evolving populations of human or viral colonies.
It could be said that Tesla's profound discoveries on light, electricity (alternating current), radio, TV, radar, energy, etc redefined if not invented the 21st Century.
Similarly, perhaps the most important mathematical discovery, as important as Tesla's discoveries, would be JainPi, the True Value of Pi = 3.144...
for this correction from the current dishamonic value of Pi (3.1415...)
to the ideal Circle-Square relationship, where there is no friction, no disharmony,
only fractality, will lead humanity towards a veritable Space Age, as the problems with implosion and wormholes and time-bending physics are resolved,
we can collectively move forward, when the great Mind of no Ego is equalled to a great Heart full of Compassion for all Sentient Beings.
Jain 108
7-
The True Value of Pi = 3.144605511029693144...
JainPi Digits Multiplied:
3 pages
1of 3
2 of 3
3 of 3
8-
Linking Phi (1.618) to the 360 Degree Circle Harmonic:
Jain Cracks Another Code (first published on Facebook, 2015)
PHI: GOLDEN RIGHT PHI TRIANGLE: 360 Degrees Link
Dedicated to the Late Bruce Cathie who instructed me to take more notice of the 360 division of the circle, (‘cos last decade, I was ranting that it was artificial and a mere man-made invention compared to "radians”, now I understand that the Master was right).
Here is another mathematical testimony to the Circle Harmonic of 360 (degrees) as glorified by the late Bruce Cathie.
What follows is my own original insight, that connects the 360 degrees of the Circle to the wonders of Phi (1.618…).
We already know that the Golden Pythagorean Right-Angled Triangle, existing inside the guts of the Cheop’s pyramid in Giseh has sides (1, Root Phi, Phi) or (1, 1.272, 1.618) and angles of (90, 51.8, 38.2).
The diagram shows the yellow shaded square areas of these 3 sides are (1, Phi, Phi Squared) or (1, 1.618, 2.618).
Metaphysical Scholars all talk about this important and critical slope angle of the pyramid’s 4 triangular faces being 51 degrees 51 minutes or 51.8 degrees and many a thesis and many tomes of great literature have been written about this revered angle, such as "Harmonic 51-51” and deservedly so.
Though, my insight is the other angle, the neglected 38.2 degrees, how I will directly and boldly relate it to Harmonic 360. How? Up till now, no-one has written about this.
First we need to know about the Reciprocal of Phi (1.618) is 1/Phi = phi with a small "p” = .618. Thus Phi = 1.618 and phi = .618 is the Reciprocal.
(To mathematician’s astonishment, Phi is the only number in the universe that when you take away its reciprocal, it equals 1 or Unity Consciousness. And if you add 1 to Phi, you get its square. This has huge implications in the Future Sciences and is why it is called the Golden Number, and why people like myself have studied it tirelessly for 3 decades).
If we ask "What is phi of phi?” we are asking what is 1/Phi x 1/Phi or phi x phi or .618033988… x .61803988… = .38196601… = .382 rounded off to 3 dp or decimal places. (This format of 3dp has been adopted for the whole article, but just remember that these decimals are running forever without any known recursion or repetition).
This anointed value of .382 is also known as "phi squared” or the Reciprocal of Phi Squared or 1/Phi^2 or 1 divided by 2.618.
Notice also that the square area of the hypotenuse or the longest side is also 2.618 square units or 1.618 x 1.618.
Lets store this value of .382 into our Inner Mental Screen, and recall it soon when we need to.
Let us now take our attention to the smaller and topmost angle in our diagram. It is 38.2 degrees (simplified by rounding off 38.17 degrees to 38.2 degrees). Can you see the connection between 38.2 and .382? even though one is in degrees and the other is a linear measurement, it doesn’t matter what the format is, in cross-platform Harmonic Mathematics where whole integers sing their universal songs. This 38.2 degrees is a Phi Harmonic, is indexed against the Circle Harmonic of 360 degrees.
In the timeless, universal Language of Harmonics, we have poetic license or permission to slide the decimal point and also discard any zeroes before or after the decimal point. (eg: The Reciprocal of Light Harmonic as given to us via Bruce Cathie the Father of the Earth Grid is 1 divided by 144 = .0069444… which rounds off to .00695 which simplifies to Harmonic 695. It may appear nonsensical that this is the case, but trust me, this is the key to Star Trek knowledge, how to map the sphere and galaxies and thus travel safely at warp speed).
Thus, to conclude, I am making the distinct relationship that 38.2 and .382 are of the same family of Vibrational candidates that marry the Tribe of Phi with the Tribe of 360, interlinking the Mysteries of Pine Cone / Sunflower Mathematics to that of Circle Harmonics. We learn from this ancestry.net that they have always been cousins, always connected, it is only us that had forgotten our lineage.
We therefore give thanks to the beauteous and restorative Language of Mathematics and treasured Sacred Geometry that guide us to Remember Who We Are and Where We Have Come From!
Jain 108
 
Extra Notes:
360/51.84 = 6.944444444444444 Bruce Cathie’s 695 harmonic.
Remember that 695 Harmonic is the Light Reciprocal Harmonic:
1 divided by 144 = .0069444444444….
Also:
One important and not well known aspect of the decimal angle of the Great is that 360 degrees is broken down into mins & secs of arc.
That 51.84 x 60min x 60sec = the Speed of Light in miles/sec 186,624.
(or 51-51-14 is186,674)
(information sourced from researcher Trevor Ward of Western Australia).
Thus we can conclude that the critical base angle of the Great Pyramid encodes the Maths of Light!
_____________________________________________________________
More Discoveries & Notes to be elaborated on:
- (November 2005) In India:
Meeting with Kranti Kiran (at Hyderabad, Andras Pradesh state), aged 29, the top and foremost Vedic Mathematician genius in all of India. We taught at many schools like Nalanda, Chaitanya, Warangal.
- (December 24th 2005) Kranti instantly organized 400 people involved in Infosys, Hi-Tech City, to attend one of my lectures. This was the first standing ovation I had received, an honour as the audience was the cream of India's Mathematical elite, and they were stunned that a westerner like me had educated them on the origins and fascination for their holy number "108" which was a mystery to them, but I explained its coding hidden in the 24 repeating pattern hidden in the Fibonacci sequence. They therefore support my efforts towards the much required fibonaccization of the global mathematics curriculum that I am currently writing.
http://www.jainmathemagics.com/discoveriesbyjain/ |
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Euler’s Identity: eiπ + 1 = 0.
Euler’s Identity is an Equation about constants π and e. Both are “Transcendental” quantities; in decimal form, their digits unspool into Infinity. And both are ubiquitous in scientific laws. But they seem to come from different realms: π (3.14159 …) governs the perfect Symmetry and closure of the Circle; it’s in Planetary Orbits, the endless up and down of light waves. e (2.71828 …) is the foundation of exponential growth, that accelerating trajectory of escape inherent to compound interest, nuclear fission, Moore’s law. It’s used to model everything that grows.
What Euler showed is that π and e are deeply related, connected in a dimension perpendicular to the world of real things - a place measured in units of i, the square root of -1, which of course doesn’t … exist. Mathematicians call it an imaginary number. These diagrams are visual metaphors. Imagine a graph with real numbers on the horizontal axis and imaginary ones on the vertical. Exponential function, f(x) = ex, ordinarily it graphs as an upward swooping curve - the very paradigm of progress. But put i in there, Euler showed, and eix instead traces a circle around the origin - an endless wheel of Samsara intercepting Reality at –1 and +1. Add another axis for Time and it’s a helix winding into the Future; viewed from the side, that helix is an oscillating sine wave.The rest is easy: Take that function f(x) = eix, set x = π, and you get eiπ = -1. Rearrange terms and you have the famous identity: eiπ + 1 = 0.
That’s the essence of Euler’s alchemy: By venturing off the real number line into this empyrean dimension, he showed that disruptive, exponential change (the land of e) reduces to infinite repetition (π). These diagrams combine the five most fundamental numbers in math - 0, 1, e, i, and π - in a relation of irreducible simplicity. e and π are infinitely long decimals with seemingly nothing in common, et they fit together perfectly - not to a few places, or a hundred, or a million, but all the way to forever.
You can take this farther, too. If you write that function above in a more general but still simple form as f(x) = e(zx), where z = (a + bi), what you get is no longer a circle but a logarithmic spiral, combining rotation and growth - now both at the same time- These graceful spirals are also found everywhere in Nature, from the whorls in a nautilus shell to the sweeping arms of Galaxies. And they’re related, in turn, to the Golden Ratio (yet another infinite decimal, 1.61803 …) and the Fibonacci Sequence of Numbers (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …).
But the weirdest thing about Euler’s formula - given that it relies on imaginary numbers - is that it’s so immensely useful in the real world. By translating one type of motion into another, it lets engineers convert messy trig problems into more tractable algebra - like a wormhole between separate branches of math. It’s the secret sauce in Fourier transforms used to digitize music, and it tames all manner of wavy things in quantum mechanics, electronics, and signal processing; without it, computers would not exist.
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806. Juan 16:21 La mujer cuando da a luz, tiene dolor, porque ha llegado su HORA; pero después que ha dado a luz un niño, ya no se acuerda de la angustia, por el gozo de que haya nacido un hombre en el mundo.
NOTEN LA RELACION DE LA BIBLIA DE LA LUZ, EN UN MARCO DE TIEMPO.
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28 ago. 2013 - Subido por Dyslexic Artist Theory on the Physics of 'Time'
You will have to make up your own mind if this is the God's equation or if it just represents the ratios and ...
18 oct. 2013 - Subido por Terry Giblin
I was 17 years old studying, A level Pure Mathematics, studying this exactequation, when my wave-function ...
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1754 × 1240Las imágenes pueden estar sujetas a derechos de autor. Más información
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dentidad de Euler
"La mayoría de las matemáticas modernas y físicas derivan del trabajo de Leonhard Euler", aclara Robin Wilson de la Open University del Reino Unido.
 Derechos de autor de la imagenImage captionEuler es considerado el Mozart de las matemáticas.Él fue "el matemático más prolífico de todos los tiempos" y el "Mozart de las matemáticas".
Pero a pesar de todos sus logros, "mucha de la autocalificada 'gente educada' nunca ha oído hablar de él".
Su ecuación más famosa es la identidad de Euler, y en ella se pueden vincular las constantes de la matemática.
 Derechos de autor de la imagenImage captionLa ecuación más famosa de Euler vincula todos los números más importantesLa ecuación combina cinco de los números más importantes de la matemática. Los cuales son:
- 1 – la base de todos los números
- 0 – el concepto de la nada
- pi – el número que define al círculo
- e – el número que subraya el crecimiento exponencial
- i – la raíz cuadrada "imaginaria" de -1
Todos los números tienen aplicaciones prácticas, incluida para la comunicación, navegación, energía, fabricación, finanzas, meteorología y medicina.
Pero eso no es todo: la identidad de Euler también tiene tres de las operaciones matemáticas más básicas: suma, resta y exponenciación. |
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