Bell showed that a local hidden variable hypothesis leads to restrictions on the strength of correlations of measurement results In mathematics, a nonlocal operator is a mapping which maps functions on a topological space to functions, in such a way that the value of the output function at a given point cannot be determined solely from the values of the input function in any neighbourhood of any point If the bell inequalities are violated experimentally as predicted by quantum mechanics, then reality cannot be described by local hidden variables and the mystery of quantum nonlocal causation remains.
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Free variables and bound variables in mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a variable may be said to be either free or bound
Some older books use the terms real variable and apparent variable for free variable and bound variable, respectively.
[1] in the presence of side effects, a program's behaviour may depend on history That is, the order of evaluation matters.
