Random Number Generator Algorithm

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Simple Number Auto-generator Algorithm (Database)

Simple algorithms are best encouraged to be implemented in database scripting, rather than in more complex programming algorithms. Programming or scripting is usually and effectively an addendum or database outer-joined to a database record. This is untidy and inefficient.

To generate a sequence of non-repeating, random numbers derived from irrational numbers, a new algorithm is described.

Primary applications of the algorithm

• Random number generation

• Non-sequential primary keys

• Password generation

• Unique phone number generation

N       =        set of natural numbers ,

incrementation algorithm

(See incrementation blog post.)

Random, Natural Number Generator

              n = private key (any natural number)

A = public key

               A = 1/( ( (1 - ( N - n ) ^ 2 ) ^ 1/2 )

The algorithm can be tested by populating the values output in Desmos.com or Geogebra.com tabulation. Remember to respect BODMAS sequencing.

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