Notes

Chapter 4: Systems Based on Numbers

Section 5: Mathematical Constants


Specially constructed transcendental numbers

Numbers known to be transcendental include ones whose digit sequences contain 1's only at positions n!, 2n or Fibonacci[n]. Concatenation sequences, as well as generalizations formed by concatenating values of polynomials at successive integer points, are also known to yield numbers that are transcendental.



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