Notes

Chapter 10: Processes of Perception and Analysis


Section 11: Traditional Mathematics and Mathematical Formulas

[Algebraic computation of] additive cellular automata Binary decision diagrams [Boolean] formula sizes Boolean formulas Cellular automaton [Boolean] formulas Cellular automaton [Nand] formulas Complex powers [of numbers] Computing powers [of numbers] Continuous generalizations [of additive rules] Difference tables and polynomials DNF minimization Evaluation chains GCD array Gegenbauer functions [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 Multilevel [Boolean] formulas Nand expressions Nested continuous functions Nested patterns and numbers Nesting in bitwise functions Pascal's triangle [Patterns from] arbitrary digit operations Power cellular automata Practical empirical mathematics Primitive [Boolean] functions [Reduced formulas in] continuous systems Reversible logic Standard mathematical functions The more general case [of computation speed ups] Trinomial coefficients

From Stephen Wolfram: A New Kind of Science [citation]