Beyond Bell's theorem: correlation scenarios

Expectation Value in Bells Theorem

We will demonstrate in this paper that Bell′s theorem (Bell′s inequality) does not really conflict with quantum mechanics, the controversy between them originates from the different definitions for the expectation value using the probability distribution in Bell′s inequality and the expectation value in quantum mechanics. We can not use quantum mechanical expectation value measured in experimen...

Beyond all the bells and whistles of linking software.

T e re are still kinks in the links. Despite being we l l established as a category of medical software , systems that link physician offices and laboratories continue to encounter pro b l e m s . Physician office-lab link, or POLL, software can o ffer a high level of functionality, allowing physicians and their staff to order laboratory assays, collect and label laboratory specimens, ro u t e ...

Brooks' Theorem and Beyond

We collect some of our favorite proofs of Brooks’ Theorem, highlighting advantages and extensions of each. The proofs illustrate some of the major techniques in graph coloring, such as greedy coloring, Kempe chains, hitting sets, and the Kernel Lemma. We also discuss standard strengthenings of vertex coloring, such as list coloring, online list coloring, and Alon–Tarsi orientations, since analo...

Beyond the Runs Theorem

In [2], a short and elegant proof was presented showing that a binary word of length n contains at most n − 3 runs. Here we show, using the same technique and a computer search, that the number of runs in a binary word of length n is at most 22 23 n < 0.957n.

A General Correlation Theorem