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My book describes the polynomial ring $R[X]$ as: $R[X] = R[\mathbb{N}] = \{f: \mathbb{N} \rightarrow R | \hspace{ 2mm} f(n) = 0, n \gg 0\}$. What is exactly meant by this?

What do the double arrows mean $(\gg)$? The author is a Danish mathematician and the book is designed for a first semester algebra course.

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    Please, try to make the title of your question more informative. E.g., *Why does $a imply $a+c?* is much more useful for other users than *A question about inequality.* From [How can I ask a good question?](http://meta.math.stackexchange.com/a/589/): *Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader.*2012-10-30
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    I'm sorry about the title. I'll try to be more direct next time. For this question, I didn't want put too tex2012-10-30

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