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Definition 3
Notes:
This alternation function keeps a register of the digitization parameters for all the digitization levels. A given level gets the value of this function equal to 1 if the sigma parameter of the level is less than one half and gets zero otherwise.
Why such a name of the function? Value 1 for the level i gives an alternation on the level i+1, value 0 gives no alternation. By alternation I mean the kind of the first object of the level (short or long).