In theory, trading can establish simultaneous values for scores or even hundreds of product attributes -- just as it does each day for thousands of publicly listed stocks.
We denote as the pair of simultaneous values of two independent hash sequences at time.
A set of nr ≥ 2 simultaneous values of distinct responses can be called response vector.
Unlike EPR, none of Einstein's arguments makes use of simultaneous values for complementary quantities like position and momentum.
Roughly speaking, the uncertainty principle (for position and momentum) states that one cannot assign exact simultaneous values to the position and momentum of a physical system.
In the following, all vectors of consecutive values in time are row vectors, while vectors of simultaneous values taken at a given time instant are column vectors.
It attempts to show that in certain circumstances a quantum system can have simultaneous values for incompatible quantities (once again, for position and momentum), where these values also pass the Reality Criterion's test for being "elements of reality".
If the two input cells have positions \(x_{1}\), \(x_{2}\), then the quotient \((I_{2} - I_{1}) / (x_{2} - x_{1})\) measures the difference in simultaneous values of I over the spatial distance \(x_{2}-x_{1}\).
This second argument focuses clearly on the interpretation of quantum state functions in terms of "real states" of a system, and not on any issues about simultaneous values (real or not) for complementary quantities.
It follows from (P2), by (3.1), that no quantum mechanical state is an eigenstate of all observables (and indeed that there are observables which have no eigenstates in common), and so, by (3.2), that no quantum mechanical system ever has simultaneous values for all of the quantities pertaining to it (and indeed that there are pairs of quantities to which no state assigns simultaneous values).
