22 July 2026
Saint Mary Magdalene (1st Century AD)
3020. Thoughts and Tricks about UTF (Universal Transcendental Function)
Intel FORTRAN Code and Printout of the 731 Transcendental Constants in QUAD Precision (733 Constants including all)
22 July 2026
Universal Transcendental Constants, or UTC, are used throughout many of my articles and will continue to be used in future work. For that reason, I think it is useful to have the values of these constants readily available.
Attached to this article are two FORTRAN codes, along with their printouts in QUAD precision. These are older results, originally produced in 2017, but they remain accurate. I ran the programs using Intel FORTRAN and Microsoft Visual Studio 2017, or alternatively using just the Intel compiler and editor. The files, including the printouts and source codes, were edited in 2026.
- Written by Andrew Joseph Yanthar-Wasilik
- Category: Blog
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Saint Mary Magdalene (1st Century AD)
1001. 4. 1. Universal Transcendental Function (UTF) and Universal Transcendental Constants (UTC)
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.
- Written by Andrew Joseph Yanthar-Wasilik
- Category: Blog
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22 July 2026
Feast of Saint Mary Magdalene (1st Century AD)
3020. 3. FORTRAN Code to calculate Transcendental Constants from π down to the constant number -366; QUAD PRECISION
program transcendental_DOWN
! Program transcendentalconstants III
implicit none
! integer, parameter :: QR_KL = selected_real_kind (32)
! real (kind=QR_K) :: pi_VAL
! integer, parameter :: QR_K = selected_real_kind (32)
! real (kind=QR_K) :: e_VAL
! integer, parameter :: QR_K = selected_real_kind (32)
! real (kind=QR_K) :: rHS
! integer, parameter :: QR_K = selected_real_kind (32)
! real (kind=QR_K) :: rHSi
REAL*16 rHS,rHSi,pi_VAL,e_VAL,HS,HT,HTF,HTS
REAL*16 InverseTransCnstnext
REAL*16 TransCnstnext
REAL*16 y, counter
integer*8 i
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22 July 2026
Feast of Saint Mary Magdalene (1st Century AD)
3020. 4. OUTPUT OF THE INTEL FORTRAN CODE; QUAD PRECISION: 'TRANSCENDENTAL CONSTANTS DOWN'; 366 TRANSCENDENTAL CONSTANTS; STARTING WITH π
VALUE OF PI =
0.31415926535897932384626433832795027974790680981373E+01
VALUE OF E =
0.27182818284590452353602874713526623143584218671935E+01
VALUE OF PI / E =
0.11557273497909217179100931833126962730089421974651E+01
VALUE OF e / pi =
0.86525597943226508721777478964608958358643306646676E+00
- Written by Andrew Joseph Yanthar-Wasilik
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22 July 2026
Feast of Saint Mary Magdalene (1st Century AD)
3020. 2. OUTPUT OF THE INTEL FORTRAN CODE; QUAD PRECISION: 'TRANSCENDENTAL CONSTANTS UP'; 366 TRANSCENDENTAL CONSTANTS; STARTING WITH π
VALUE OF PI =
0.31415926535897932384626433832795027974790680981373E+01
VALUE OF E =
0.27182818284590452353602874713526623143584218671935E+01
VALUE OF PI / E =
0.11557273497909217179100931833126962730089421974651E+01
VALUE OF e / pi =
0.86525597943226508721777478964608958358643306646676E+00
- Written by Andrew Joseph Yanthar-Wasilik
- Category: Blog
- Hits: 210
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