MHB Working with decidable predicates

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The discussion revolves around understanding the calculation of decidable predicates as presented in a specific article. The main focus is on clarifying the first equation, which is not clearly numbered or formatted as an equation in the text. Participants express confusion about how to interpret the formula, particularly regarding its output being either 1 or 0. The lack of clarity in the article's presentation is a significant concern for those trying to grasp the concepts. Overall, the need for better formatting and explanation of the equations is emphasized.
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I am currently reading this article

Here

I was wondering how to calculate the contents of it
Mainly the first equation equaling 1 or 0
 
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This article does not seem to have numbered equations, and the first formula on its own line is not an equation.
 

Thread 'A variant of the Monty Hall problem'

There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...
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