# Notes

# Chapter 10: Processes of Perception and Analysis

## Section 3: Defining the Notion of Randomnesshttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-3--defining-the-notion-of-randomness

## Section 4: Defining Complexityhttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-4--defining-complexity

## Section 5: Data Compressionhttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-5--data-compression

Practicalities [of data compression]

Lengths of [number] representations

Completeness [of number representations]

[Number representations in] practical computing

## Section 6: Irreversible Data Compressionhttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-6--irreversible-data-compression

## Section 7: Visual Perceptionhttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-7--visual-perception

Feedback [in visual processing]

Implementation [of texture perception model]

Testing the [texture perception] model

Related [texture perception] models

## Section 8: Auditory Perceptionhttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-8--auditory-perception

History [of auditory perception]

[Sounds based on] time variation

[Sounds based on] musical scores

Recognizing repetition [in sounds]

Spectra of substitution systems

## Section 9: Statistical Analysishttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-9--statistical-analysis

Estimation of parameters [in probabilistic models]

[Models involving] non-local processes

Block frequencies [in sequences]

## Section 10: Cryptography and Cryptanalysishttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-10--cryptography-and-cryptanalysis

Basic theory [of cryptography]

Linear feedback shift registers

[Cryptographic] properties of rule 30

Directional sampling [in cellular automata]

Alternative rules [for cryptography]

Nonlinear feedback shift registers

Backtracking [in cellular automata]

Deducing cellular automaton rules

## Section 11: Traditional Mathematics and Mathematical Formulashttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-11--traditional-mathematics-and-mathematical-formulas

Practical empirical mathematics

Difference tables and polynomials

Implementation [of repetitive array]

Implementation [of finite automata for nested patterns]

[Patterns from] arbitrary digit operations

Generating functions [for nested patterns]

Standard mathematical functions

[Generating functions for] 1D sequences

Multidimensional additive rules

Continuous generalizations [of additive rules]

[Algebraic computation of] additive cellular automata

The more general case [of computation speed ups]

Cellular automaton [Boolean] formulas

Cellular automaton [Nand] formulas

## Section 12: Human Thinkinghttps://www.wolframscience.com/nks/chap-10--processes-of-perception-and-analysis--notes#sect-10-12--human-thinking

History [of ideas about thinking]

The future [of machine thinking]

[Memory analogs with] numerical data

[Computer and human] languages