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In this research manuscript, the authors present some important notions of the universal representation theory—rigor I. These include theory of higher order sequences(s) of primes, askew primes and sequences of askew primes, one step evolution of any element of sequence of primes, one step devolution of any element of sequence of primes, one step evolution of any element of higher order sequence of primes, one step devolution of any element of higher order sequence of primes, one step evolution of any element of higher order sequence of askew primes, one step devolution of any element of higher order sequence of askew primes, one step evolution of any real number, one step devolution of any real number, universal representation format, the field of primes, higher order sequence of primes, askew primes, representation of the irrationals, the algebra in the universal representation format, basis change in the universal representation format, basic analysis of one step evolution of any given set in the universal representation theoretic format, ordering of the repeating elements of a set in the aspect primality representation, one step holistic evolution of any given set, origin selection for any set, the universal metric, inner product of any two equal or unequal vectors of possible higher dimensions, notion of entropy of any number or set, one step orthogonal evolution of any given set, directed evolution under a given impetus based on the notion of interaction—universal forecasting scheme, information entropy transfer function, interaction strength, sub-optimal one step evolution, notions of time function and reversed time function of any aspect primality of concern, one step future formation, notion of relative interaction, representation of any aspect of concern as a time or/and space averaged aspect primality, an example of how and when robotic intelligence will tend to human level sentience, notion of complement of any number or any set, notion of complement of any number or any set under any given operation, and hole aspect primality of any aspect primality.

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Universal Representation Theory—Rigor I

  • 会议论文

  • 发表日期：

    2025年

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  • Ramesh Chandra Bagadi,
  • Rohith Bagadi

摘要

In this research manuscript, the authors present some important notions of the universal representation theory—rigor I. These include theory of higher order sequences(s) of primes, askew primes and sequences of askew primes, one step evolution of any element of sequence of primes, one step devolution of any element of sequence of primes, one step evolution of any element of higher order sequence of primes, one step devolution of any element of higher order sequence of primes, one step evolution of any element of higher order sequence of askew primes, one step devolution of any element of higher order sequence of askew primes, one step evolution of any real number, one step devolution of any real number, universal representation format, the field of primes, higher order sequence of primes, askew primes, representation of the irrationals, the algebra in the universal representation format, basis change in the universal representation format, basic analysis of one step evolution of any given set in the universal representation theoretic format, ordering of the repeating elements of a set in the aspect primality representation, one step holistic evolution of any given set, origin selection for any set, the universal metric, inner product of any two equal or unequal vectors of possible higher dimensions, notion of entropy of any number or set, one step orthogonal evolution of any given set, directed evolution under a given impetus based on the notion of interaction—universal forecasting scheme, information entropy transfer function, interaction strength, sub-optimal one step evolution, notions of time function and reversed time function of any aspect primality of concern, one step future formation, notion of relative interaction, representation of any aspect of concern as a time or/and space averaged aspect primality, an example of how and when robotic intelligence will tend to human level sentience, notion of complement of any number or any set, notion of complement of any number or any set under any given operation, and hole aspect primality of any aspect primality.