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Notes for: Systems Based on Numbers   (Stephen Wolfram's "A New Kind of Science")
(Page 0913a) Notes for: Systems Based on Numbers | Mathematical Constants [Computing] square roots A standard way to compute Sqrt[n] is Newton's method (actually used already ...
Notes for: The World of Simple Programs   (Stephen Wolfram's "A New Kind of Science")
(Page 0892a) Notes for: The World of Simple Programs | Substitution Systems Connections [of substitution systems] with square roots Substitution systems such as (c) above are ...
Mathematical Constants   (Stephen Wolfram's "A New Kind of Science")
(Page 0139) below show successive steps in a particular method for computing the base 2 digit sequence for the rational numbers p/q . The method is essentially standard long ...
Mathematical Constants   (Stephen Wolfram's "A New Kind of Science")
(Page 0143) By replacing the addition and multiplication that appear above by other operations one can then get other representations for numbers. A common example are ...
Notes for: Systems Based on Numbers   (Stephen Wolfram's "A New Kind of Science")
(Page 0913) Notes for: Systems Based on Numbers | Mathematical Constants NOTES FROM PAGE [Computing] square roots Nested digit sequences Concatenation sequences PAGE IMAGE ...
Mathematical Constants   (Stephen Wolfram's "A New Kind of Science")
(Page 0142) ever occur. It is straightforward to construct a nested digit sequence using for example the substitution systems on page 83 , but the point is that such a digit ...
Mathematical Constants   (Stephen Wolfram's "A New Kind of Science")
(Page 0144) all numbers. If one does this, then the typical experience is that in any particular representation, some class of numbers will have simple forms. But other ...
Notes for: The World of Simple Programs   (Stephen Wolfram's "A New Kind of Science")
(Page 0892) Notes for: The World of Simple Programs | Substitution Systems NOTES FROM PAGE Connections [of substitution systems] with digit sequences Connections [of ...
Notes for: The World of Simple Programs   (Stephen Wolfram's "A New Kind of Science")
(Page 0892b) Notes for: The World of Simple Programs | Substitution Systems Spectra of substitution systems See page 1080 . PAGE IMAGE RELATED LINKS All notes on this page: ...
Notes for: Two Dimensions and Beyond   (Stephen Wolfram's "A New Kind of Science")
(Page 0945c) Notes for: Two Dimensions and Beyond | Systems Based on Constraints Constraints on formulas Many standard problems of algebraic computation can be viewed as ...
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