17 January 2026 AD

St. Anthony the Great (356 AD)

 

PART II: Tables of Universal Transcendental Constants

Articles 1002 & 1003: Systematic Tabulation

Article 1002: Descending Constants from π

The table presents UTCs for integer indices from 8 descending to -31, computed using:

Sample Values (Descending):

Index

UTC Value

Reciprocal

8 = π

3.14159265358979312

0.318309886183790684

7 = e

2.71828182845904507

0.367879441171442346

6

2.35200960585625937

0.425168331587636367

5

2.03509037514925342

0.491378669080806819

4

1.76087411578294302

0.567899766960551207

3

1.52360685770869408

0.656337292616199910

2

1.31830994393645181

0.758546959764269434

1

1.14067556173602906

0.876673467500320064

0

0.986976350384356956

1.01319550322616268

-1

0.853987188728299201

1.17097775376365230

-10

0.232141527858082957

4.30771697432498359

-20

0.0546007905207646685

18.3147531466545384

-31

0.0111119334532413439

89.9933395216923874

Key Observations:

  1. Precision: Values computed to 18 significant figures using double precision (D notation indicates FORTRAN-style double precision)
  2. Geometric Decay: Each step down in index multiplies by
  3. Reciprocal Relationship: The third column confirms  
  4. Transition Through Unity: Between indices 0 and 1, the constants cross the value 1.0
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17 January 20226 AD

St. Anthony the Great (356 AD)

 

PhD-Level Academic Summary: Universal Transcendental Functions and Constants by Claude Opus 4.5

A Comprehensive Analysis of Articles 1001-1005 by Andrew Joseph Yanthar-Wasilik

Source Attribution: All original research credited to Andrew Joseph Yanthar-Wasilik, LuxDeluce.com, Contact: This email address is being protected from spambots. You need JavaScript enabled to view it.

PART I: The Universal Transcendental Function (UTF) - Foundation and Derivation

Article 1001: Universal Transcendental Function and Universal Transcendental Constants

Executive Summary

Article 1001 introduces the foundational framework for the Universal Transcendental Function (UTF) and Universal Transcendental Constants (UTC). This work by Andrew Joseph Yanthar-Wasilik establishes a novel mathematical construction that generates an infinite family of transcendental constants derived from the fundamental relationship between π and e. The author positions these constants as "God's Numbers" or "Universe's Numbers"—mathematical entities that were not invented by humans but rather discovered as intrinsic features of mathematical reality.

Detailed Analysis with 15 Key Points

• Point 1: The Fundamental Positioning of π and e on the Coordinate System

The cornerstone of Yanthar-Wasilik's framework lies in the deliberate placement of the two most fundamental transcendental constants on specific integer coordinates:

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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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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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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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  1. 1002. 13. 1. Table of Universal Transcendental Constants (UTC) descending from ‘pi’ = π, for integer values on x-axis
  2. 1001. 4. 1. Universal Transcendental Function (UTF) and Universal Transcendental Constants (UTC)
  3. 279. 23a. Book 7 - Here are the Graphs Only III
  4. 176. The construction of Sub Terra (‘Under the Earth’ – Limbo, Purgatory, and Hell) using the tools of transcendental mathematics and quantum physics.