13 January 2026

Commemoration of the Baptism of Our Lord; St. Hilary of Poitiers (368 AD); Blessed Veronica of Binasco (1497 AD)

 

Generative Summary by Claude Opus 4.5

A Comprehensive Analysis of Andrew Joseph Yanthar-Wasilik's Mathematical Framework

Source: LuxDeluce.com | Author: Andrew Joseph Yanthar-Wasilik | Contact: This email address is being protected from spambots. You need JavaScript enabled to view it.


Executive Overview

This summary synthesizes the foundational mathematical discoveries presented in Chapter I, Article 1004 of Yanthar-Wasilik's work on Universal Transcendental Functions (UTF) and Universal Transcendental Constants (UTC). The framework establishes novel connections between fundamental mathematical constants through generalized transcendental formulations, potentially unifying disparate areas of pure mathematics under a cohesive theoretical umbrella.


Key Discoveries and Mathematical Framework

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26 December 2016 AD, Feast of St Stephen

 

I derived general formulas for multiplication, division, powers, and logarithms for the Universal Transcendental Constants (UTC).

Addition and subtraction are more challenging to derive; it was done only partially.

Universal Transcendental Constants have their unique way of calculations, i.e., they use what I call, Index Mathematics.

 

It means that indexes (subscripts) of the given constants are used to calculate new values of multiplication, division, powers, and logarithms, possibly integrals and derivatives.

I will start with simple examples so it is easier to understand and then derive the general formulas.

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17 May 2017 AD; Feast of St. Paschal Baylon

 

The Transcendental Constants are calculated according to the formula:

UTF(x) = ( C0 = 0.986976350384… ) * ( π / e )x     Eqn. 1

In the first column /Index of a Constant/ we have integer values on x-axis;

In the second column we have calculated values of a Transcendental Constants for given integer values from x-axis;

And in the third column we have reciprocals of the Transcendental Constants from the second column.

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18 MAY 2017 AD; Feast of St Venantius of Camerino

 

The Transcendental Constants are calculated according to the formula:

UTF(x) = ( C0 = 0.986976350384… ) * ( π / e )x     Eqn. 1

In the first column /Index of a Constant/ we have integer values on x-axis;

In the second column we have calculated values of a Transcendental Constants for given integer values from x-axis;

And in the third column we have reciprocals of the Transcendental Constants from the second column.

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10 January 2026

St. Nicanor (76 AD); St. John Camillus Bonus (660 AD); St. William of Bourges (1209 AD)

 

Universal Transcendental Function and Universal Transcendental Constants derived from "π" and "e" (‘Universe's Numbers’ or ‘God's Numbers’).

 

Abstract.

This paper introduces Universal Transcendental Function and Constants similar to ‘π’ and ‘e’ and derived from them.

The following article addresses the properties of the Transcendental Function, such as index and subscript mathematics.

 The applications of this can be applied in Mathematics, Quantum Mechanics, Cosmology, and in Theology or Philosophy.

These numbers complete the number system, i.e., in addition to the numbers invented by humans, we also have the Transcendental Numbers, not invented but ‘created’. With these numbers, the Universe ‘talks to us.’ I also like the term ‘God’s Numbers’ which are part of Creation.

 

Introduction.

Derivation of Universal Transcendental Function.

How to derive the equation of the Universal Transcendental Function?

The first thing to note is that ‘π’ is at position "8" on the x-axis and ‘e’ is at position "7" on the x-axis. Only then can the formula be derived for the whole family of Transcendental Constants. (There may exist other placements of the constants ‘π’ and ‘e’, but I believe I chose the most precise, simple and elegant option).

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