Naive sign function for real numbers - challenge

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The discussion centers on finding a sign function for real numbers without using decisional blocks or piecewise functions. Participants explore various mathematical approaches, including using the arctangent function and regularized absolute values, while debating the efficiency and elegance of these methods. The conversation highlights the distinction between mathematical functions and programming constructs, emphasizing that certain operations like truncation can still involve decision-making. There is a focus on the ideological implications of defining functions without relying on traditional decision blocks. Ultimately, the challenge lies in creating a robust sign function that adheres to the specified restrictions.
  • #31
I will use the Lemmings suicide function. Then maybe this thread will truncate.
 
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  • #32
Given any number x you could guess the sign. You'd be right half the time.
 

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