Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Is there a way to express a function with a jump discontinuity by only using elementary functions?

...without breaking it up as a piecewise function. Can it be done with just one general expression? If so, do you have an example? If not, do you have a proof, or at least an explanation?

Thanks.

1 Answer

Relevance
  • 10 years ago
    Favorite Answer

    Yes, there is a way to do it. It can be done in what is called a Fourier Series. Basically a Fourier Series is a sum of sines and/or cosines. It is not gonna look exactly like the function with a jump discontinuity, but it will be a very good approximation.

Still have questions? Get your answers by asking now.