Interleave Sequence - Properties

Properties

  • The interleave sequence is convergent if and only if the sequences and are convergent and have the same limit.
  • Consider two real numbers a and b greater than zero and smaller than 1. One can interleave the sequences of digits of a and b, which will determine a third number c, also greater than zero and smaller than 1. In this way one obtains an injection from the square (0, 1)×(0, 1) to the interval (0, 1).

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