Infinite Range of Golden Ratios
Infinite PHI – ∞ φ


PHI series of numbers, 1st order: 1

Since this is a 1st order PHI, it has no further iterations. Once is all unity needs to authenticate itself.

It also has no relationship with any other value, so there is no need to approximate its solution by dividing some other number into unity!

Hence, all we get is... X = 1

Subtracting 1 from both sides, we get...
A linear polynomial in one unknown: X − 1 = 0




Continue with this brief overview, here...


      Name                                                                                         Last modified      Size  Description
Parent Directory - 2016/ 2016-06-29 17:17 - original research during 1994 to 1997/ 2023-01-07 06:25 - RSA Encryption/ 2016-07-02 17:50 - 8th_order_phi.php 2023-07-03 15:57 9.9K The Tally and Geometric Methods for discovering the eighth set of Golden Ratios. 8th_order_phi.txt 2023-01-04 21:49 9.9K This is the source code for generating the 8th order of PHI. GCD-for-infinite-sets_htm.pdf 2023-01-05 01:15 50K GCD-for-infinite-sets_htm.txt 2023-01-05 01:15 4.8K gcd.js 2023-07-03 11:23 3.9K Source Code for the Expanded Euclidean Algorithm in JavaScript. GCD_Demonstration_for_Infinite_Sets_of_Integers_in_Tablature_Format_driven_by_JavaScript.pdf 2023-01-05 02:38 537K GCD_Demonstration_for_Infinite_Sets_of_Integers_in_Tablature_Format_driven_by_PHP+.pdf 2023-01-05 02:59 508K GCD_Demonstration_for_Infinite_Sets_of_Integers_in_Tablature_Format_driven_by_PHP.pdf 2023-01-05 03:01 539K gcd_exercise.gif 2016-06-26 06:22 108K Animated GIF demonstrates the GCD calculation of two integers – the simplest example. gcd_js.pdf 2023-01-05 00:59 47K gcd_js.txt 2023-01-05 00:58 3.9K Golden_Ratio_of_the_8th_order_polynomial_in_one_unknown.pdf 2023-01-05 02:00 287K Infinite_Range_of_Golden_Ratios_limited-selection.pdf 2023-01-05 01:45 764K pell_ratio.jpg 2016-09-04 14:08 38K pgs_154_&_155_-_link.jpg 2016-09-08 15:39 150K phi.php 2023-07-03 15:57 23K The Tally and Geometric Methods for discovering an Infinite Range of Golden Ratios. phi.txt 2023-02-28 01:24 23K This is the source code for generating Infinite PHI. Check out these diagrams and tables of data... tablature_format-gcd.html 2023-07-03 15:57 23K The Expanded Euclidean Algorithm in JavaScript. tablature_format-gcd.php 2023-07-03 15:57 23K The Expanded Euclidean Algorithm in PHP. tablature_format-gcd.txt 2021-06-19 12:35 22K Source Code for the Expanded Euclidean Algorithm in PHP. Testy_Westy.html 2023-07-03 15:57 5.2K Test page which calls the JavaScript GCD function in gcd.js. Web capture_5-1-2023_14116_vinyasi.info.jpeg 2023-01-05 02:41 613K

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