Notes
Chapter 10: Processes of Perception and Analysis
![History [of randomness definitions]](/nks/notes/notes-10-3--history-of-randomness-definitions/thumb.png "History [of randomness definitions]")
![History [of complexity definitions]](/nks/notes/notes-10-4--history-of-complexity-definitions/thumb.png "History [of complexity definitions]")
![Completeness [of number representations]](/nks/notes/notes-10-5--completeness-of-number-representations/thumb.png "Completeness [of number representations]")
![History [of data compression]](/nks/notes/notes-10-5--history-of-data-compression/thumb.png "History [of data compression]")
![Lengths of [number] representations](/nks/notes/notes-10-5--lengths-of-number-representations/thumb.png "Lengths of [number] representations")
![[Number representations in] practical computing](/nks/notes/notes-10-5--number-representations-in-practical-computing/thumb.png "[Number representations in] practical computing")
![Practicalities [of data compression]](/nks/notes/notes-10-5--practicalities-of-data-compression/thumb.png "Practicalities [of data compression]")
![Recursive subdivision [encoding]](/nks/notes/notes-10-5--recursive-subdivision-encoding/thumb.png "Recursive subdivision [encoding]")
Completeness [of number representations]
Lengths of [number] representations
[Number representations in] practical computing
Practicalities [of data compression]
![History [of irreversible data compression]](/nks/notes/notes-10-6--history-of-irreversible-data-compression/thumb.png "History [of irreversible data compression]")
![Feedback [in visual processing]](/nks/notes/notes-10-7--feedback-in-visual-processing/thumb.png "Feedback [in visual processing]")
![History [of vision research]](/nks/notes/notes-10-7--history-of-vision-research/thumb.png "History [of vision research]")
![Implementation [of texture perception model]](/nks/notes/notes-10-7--implementation-of-texture-perception-model/thumb.png "Implementation [of texture perception model]")
![Related [texture perception] models](/nks/notes/notes-10-7--related-texture-perception-models/thumb.png "Related [texture perception] models")
![Scale invariance [in vision]](/nks/notes/notes-10-7--scale-invariance-in-vision/thumb.png "Scale invariance [in vision]")
![Statistical methods [for texture analysis]](/nks/notes/notes-10-7--statistical-methods-for-texture-analysis/thumb.png "Statistical methods [for texture analysis]")
![Testing the [texture perception] model](/nks/notes/notes-10-7--testing-the-texture-perception-model/thumb.png "Testing the [texture perception] model")
Feedback [in visual processing]
Implementation [of texture perception model]
Related [texture perception] models
Statistical methods [for texture analysis]
![History [of auditory perception]](/nks/notes/notes-10-8--history-of-auditory-perception/thumb.png "History [of auditory perception]")
![Implementation [of sound]](/nks/notes/notes-10-8--implementation-of-sound/thumb.png "Implementation [of sound]")
![Recognizing repetition [in sounds]](/nks/notes/notes-10-8--recognizing-repetition-in-sounds/thumb.png "Recognizing repetition [in sounds]")
![[Sequences with] flat spectra](/nks/notes/notes-10-8--sequences-with-flat-spectra/thumb.png "[Sequences with] flat spectra")
![[Sounds based on] musical scores](/nks/notes/notes-10-8--sounds-based-on-musical-scores/thumb.png "[Sounds based on] musical scores")
![[Sounds based on] time variation](/nks/notes/notes-10-8--sounds-based-on-time-variation/thumb.png "[Sounds based on] time variation")
![[Spectra of] random block sequences](/nks/notes/notes-10-8--spectra-of-random-block-sequences/thumb.png "[Spectra of] random block sequences")
![Spectra [of sequences]](/nks/notes/notes-10-8--spectra-of-sequences/thumb.png "Spectra [of sequences]")
History [of auditory perception]
Recognizing repetition [in sounds]
[Sounds based on] musical scores
[Sounds based on] time variation
![Block frequencies [in sequences]](/nks/notes/notes-10-9--block-frequencies-in-sequences/thumb.png "Block frequencies [in sequences]")
![Entropy estimates [for sequences]](/nks/notes/notes-10-9--entropy-estimates-for-sequences/thumb.png "Entropy estimates [for sequences]")
![Estimation of parameters [in probabilistic models]](/nks/notes/notes-10-9--estimation-of-parameters-in-probabilistic-models/thumb.png "Estimation of parameters [in probabilistic models]")
![History [of statistics]](/nks/notes/notes-10-9--history-of-statistics/thumb.png "History [of statistics]")
![[Models involving] non-local processes](/nks/notes/notes-10-9--models-involving-non-local-processes/thumb.png "[Models involving] non-local processes")
Block frequencies [in sequences]
Entropy estimates [for sequences]
Estimation of parameters [in probabilistic models]
![Alternative rules [for cryptography]](/nks/notes/notes-10-10--alternative-rules-for-cryptography/thumb.png "Alternative rules [for cryptography]")
![Backtracking [in cellular automata]](/nks/notes/notes-10-10--backtracking-in-cellular-automata/thumb.png "Backtracking [in cellular automata]")
![Basic theory [of cryptography]](/nks/notes/notes-10-10--basic-theory-of-cryptography/thumb.png "Basic theory [of cryptography]")
![[Cryptanalysis of] linear congruential generators](/nks/notes/notes-10-10--cryptanalysis-of-linear-congruential-generators/thumb.png "[Cryptanalysis of] linear congruential generators")
![[Cryptographic] properties of rule 30](/nks/notes/notes-10-10--cryptographic-properties-of-rule-30/thumb.png "[Cryptographic] properties of rule 30")
![Directional sampling [in cellular automata]](/nks/notes/notes-10-10--directional-sampling-in-cellular-automata/thumb.png "Directional sampling [in cellular automata]")
![History [of cryptography]](/nks/notes/notes-10-10--history-of-cryptography/thumb.png "History [of cryptography]")
![[Redundancy in] text](/nks/notes/notes-10-10--redundancy-in-text/thumb.png "[Redundancy in] text")
Alternative rules [for cryptography]
Backtracking [in cellular automata]
Basic theory [of cryptography]
[Cryptanalysis of] linear congruential generators
[Cryptographic] properties of rule 30
Deducing cellular automaton rules
Directional sampling [in cellular automata]
Linear feedback shift registers
![[Algebraic computation of] additive cellular automata](/nks/notes/notes-10-11--algebraic-computation-of-additive-cellular-automata/thumb.png "[Algebraic computation of] additive cellular automata")
![[Boolean] formula sizes](/nks/notes/notes-10-11--boolean-formula-sizes/thumb.png "[Boolean] formula sizes")
![Cellular automaton [Boolean] formulas](/nks/notes/notes-10-11--cellular-automaton-boolean-formulas/thumb.png "Cellular automaton [Boolean] formulas")
![Cellular automaton [Nand] formulas](/nks/notes/notes-10-11--cellular-automaton-nand-formulas/thumb.png "Cellular automaton [Nand] formulas")
![Complex powers [of numbers]](/nks/notes/notes-10-11--complex-powers-of-numbers/thumb.png "Complex powers [of numbers]")
![Computing powers [of numbers]](/nks/notes/notes-10-11--computing-powers-of-numbers/thumb.png "Computing powers [of numbers]")
![Continuous generalizations [of additive rules]](/nks/notes/notes-10-11--continuous-generalizations-of-additive-rules/thumb.png "Continuous generalizations [of additive rules]")
![[Generating functions for] 1D sequences](/nks/notes/notes-10-11--generating-functions-for-1d-sequences/thumb.png "[Generating functions for] 1D sequences")
![Generating functions [for nested patterns]](/nks/notes/notes-10-11--generating-functions-for-nested-patterns/thumb.png "Generating functions [for nested patterns]")
![History [of Boolean functions]](/nks/notes/notes-10-11--history-of-boolean-functions/thumb.png "History [of Boolean functions]")
![Implementation [of finite automata for nested patterns]](/nks/notes/notes-10-11--implementation-of-finite-automata-for-nested-patterns/thumb.png "Implementation [of finite automata for nested patterns]")
![Implementation [of repetitive array]](/nks/notes/notes-10-11--implementation-of-repetitive-array/thumb.png "Implementation [of repetitive array]")
![Multilevel [Boolean] formulas](/nks/notes/notes-10-11--multilevel-boolean-formulas/thumb.png "Multilevel [Boolean] formulas")
![[Patterns from] arbitrary digit operations](/nks/notes/notes-10-11--patterns-from-arbitrary-digit-operations/thumb.png "[Patterns from] arbitrary digit operations")
![Primitive [Boolean] functions](/nks/notes/notes-10-11--primitive-boolean-functions/thumb.png "Primitive [Boolean] functions")
![[Reduced formulas in] continuous systems](/nks/notes/notes-10-11--reduced-formulas-in-continuous-systems/thumb.png "[Reduced formulas in] continuous systems")
![The more general case [of computation speed ups]](/nks/notes/notes-10-11--the-more-general-case-of-computation-speed-ups/thumb.png "The more general case [of computation speed ups]")
[Algebraic computation of] additive cellular automata
Cellular automaton [Boolean] formulas
Cellular automaton [Nand] formulas
Continuous generalizations [of additive rules]
Difference tables and polynomials
[Generating functions for] 1D sequences
Generating functions [for nested patterns]
History [of Boolean functions]
Implementation [of finite automata for nested patterns]
Implementation [of repetitive array]
Multidimensional additive rules
[Patterns from] arbitrary digit operations
Practical empirical mathematics
[Reduced formulas in] continuous systems
Standard mathematical functions
![[Cognitive] child development](/nks/notes/notes-10-12--cognitive-child-development/thumb.png "[Cognitive] child development")
![[Computer and human] languages](/nks/notes/notes-10-12--computer-and-human-languages/thumb.png "[Computer and human] languages")
![History [of ideas about thinking]](/nks/notes/notes-10-12--history-of-ideas-about-thinking/thumb.png "History [of ideas about thinking]")
![[Human] memory](/nks/notes/notes-10-12--human-memory/thumb.png "[Human] memory")
![[Identifying] similar words](/nks/notes/notes-10-12--identifying-similar-words/thumb.png "[Identifying] similar words")
![[Memory analogs with] numerical data](/nks/notes/notes-10-12--memory-analogs-with-numerical-data/thumb.png "[Memory analogs with] numerical data")
![Pointer encoding [and memory]](/nks/notes/notes-10-12--pointer-encoding-and-memory/thumb.png "Pointer encoding [and memory]")
![The future [of machine thinking]](/nks/notes/notes-10-12--the-future-of-machine-thinking/thumb.png "The future [of machine thinking]")
![[Underlying] structure of Mathematica](/nks/notes/notes-10-12--underlying-structure-of-mathematica/thumb.png "[Underlying] structure of Mathematica")
[Computer and human] languages
History [of ideas about thinking]
Human generation of randomness
[Memory analogs with] numerical data
![Biological [forms of] perception](/nks/notes/notes-10-13--biological-forms-of-perception/thumb.png "Biological [forms of] perception")
![Evolving to predict [data]](/nks/notes/notes-10-13--evolving-to-predict-data/thumb.png "Evolving to predict [data]")
![Familiar features [of perceived data]](/nks/notes/notes-10-13--familiar-features-of-perceived-data/thumb.png "Familiar features [of perceived data]")
