Response to mostafaie and harrington

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2 Leo Harrington And

1. Introduction A set A of nonnegative integers is computably enumerable (c.e.), also called recursively enumerable (r.e.), if there is a computable method to list its elements.

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The Paris-Harrington Theorem

In Ramsey theory, very large numbers and fast-growing functions are more of a rule than an exception. The classical Ramsey numbers R(n,m) are known to be of exponential size: the original proof directly gives the upper bound R(n,m) ≤ ( m+n−2 n−1 ) , and an exponential lower bound is also known. For the van der Waerden numbers, the original proof produced upper bounds that were not even primitiv...

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Stanford scientists have developed a fluorescence imaging technique that allows them to view the pulsing blood vessels of living animals with unprecedented clarity. compared with conventional imaging techniques, the increase in sharpness is akin to wiping fog off your glasses. the technique, called near infrared-2 imaging, or nir-2, involves first injecting water-soluble carbon nanotubes into t...

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ژورنال

عنوان ژورنال: Journal of General Internal Medicine

سال: 2006

ISSN: 0884-8734,1525-1497

DOI: 10.1111/j.1525-1497.2006.00632.x