Lesson plan
negligible function
In mathematics, a negligible function is a function \mu:\mathbb{N}\to\mathbb{R} such that for every positive integer c there exists an integer N c such that for all n > N c , : |\mu(n)| Equivalently, the following definition may be used. A function \mu:\mathbb{N}\to\mathbb{R} is negligible, if for every positive polynomial poly(·) there exists an integer N poly > 0 such that for all n > N poly : |\mu(n)|
Article summary
In mathematics, a negligible function is a function \mu:\mathbb{N}\to\mathbb{R} such that for every positive integer c there exists an integer N c such that for all n > N c , : |\mu(n)| Equivalently, the following definition may be used. A function \mu:\mathbb{N}\to\mathbb{R} is negligible, if for every positive polynomial poly(·) there exists an integer N poly > 0 such that for all n > N poly : |\mu(n)|
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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