30 August 2024 AD

St. Rose of Lima 1617 AD; Sts. Felix & Adauctus 304 AD; St. Fiacre of Brie 670 AD; Bl. Bronislava 1259 AD

The Transcendental Fibonacci Sequence is the result of operation on two Parent Sequences (or if you prefer Transcendental Constants, more about it in a moment), the P(ater) constant and F(ilius) constant.

P(ater) = ( 7 / 5 )1/2 * π = 3.71718255693

And

F(ilius) = ( 5 / 7 )1/2 * e = 2.29736745287

The division of P(ater) / F(ilius) is equal to

S(piritus) = [ ( 7 / 5 )1/2 * π ] / [ ( 5 / 7 )1/2 * e ] = ( 7 / 5 ) * ( π / e ) = 1.61801828971

This result is equal to the Transcendental Fibonacci Ratio, and the Sequence can be derived from it.

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23 July 2024 AD

St. Rose of Lima 1617 AD; St. Philip Benizi 1285 AD

 

Below is the Complete Transcendental Fibonacci Sequence consisting of two parts, whole and fractional. The terms are bounded by zero and infinity. The ratio of two consecutive terms is equal to the ‘golden ratio:’

GR = 1.61801828971…

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6 August 2024

Transfiguration of Our Lord; Sts. Sixtus II, Felicissimus & Agapitus 258 AD

 

In this part, I will focus on the Fibonacci-like sequences and in the second part on their geometrical representation, i.e., spirals. Using the multiplication/division tables and summation/subtraction tables in a certain way will let us get exact values of the Fibonacci-like sequences, and, what is quite interesting fractional Fibonacci-like sequences, unknown until this day. I will present a way to get these transformations done. The examples will follow. I will choose a couple of basic sequences for everyone to see how it works.

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13 August 2024

St. Pontian 236 AD; Bl. Philip Monarriz & Comps. 1936 AD; St. Hippolytus 235 AD; St. Casian 3rd century AD; St. Radegund 587 AD

This article will be about some of the properties of the Multiplication/Division Tables and Transcendental Fibonacci Sequence. There is a way of breaking a Transcendental Fibonacci Sequence into an arithmetic formula and in that way obtaining all the terms of this sequence. To do this, I have to bring back certain properties of the Multiplication/Division Table. We started with two numbers:

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30 July 2024

St. Peter Chrysologus 450 AD; Sts. Abdon & Sennen 303 AD

 

In this article, I will calculate the last anomalous magnetic moment in this series, the anomalous magnetic moment of the electron, the g-2 electron. The calculation will be done using transcendentals but in a slightly different way than in the g-2 muon case. Again, the final result agrees perfectly (12-digit accuracy) with the experimental value.

Before I start, I would like to explain to the reader (if necessary) what this anomalous magnetic moment is. Basically, it is a g-factor of the electron (or muon and tau) less by the value 2.0 and then the result is divided by 2.0, that’s all there is. If one wants to see the explanation from Fermi Labs and Wikipedia, here are the links:

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