Lesson plan
Exponential sum
In mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function, usually expressed by means of the function : e(x) = \exp(2\pi ix).\, Therefore, a typical exponential sum may take the form : \sum_n e(x_n), summed over a finite sequence of real numbers x n .
Article summary
In mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function, usually expressed by means of the function : e(x) = \exp(2\pi ix).\, Therefore, a typical exponential sum may take the form : \sum_n e(x_n), summed over a finite sequence of real numbers x 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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