This Video Elegantly Breaks Down the Fourier Series Using Circles
%2Favatars%2FsEjErkvmeQDb.jpg&w=96&q=75)
/2023/02/26/image/jpeg/wEs7jmzycdxiRuhcMtsbSGYwlnn80SZYAoRVatkQ.jpg "This is why rockets don’t crash into airplanes")
/2023/02/12/image/jpeg/jn8Hgiy2rHbGud5e9z4SRnZkMQZzeAkP0Vi8cLir.jpg "Here's how tectonic shifts caused the Turkey-Syria earthquake")
/2023/09/30/image/jpeg/6IjK0KBN2CeWMA7df6Up3U6thpVJXxlG6O1Vqavl.jpg "What are these black balls doing in the reservoir?")
/2023/09/29/image/jpeg/voFjWPgxbHXwheGsIQF2L0gAW0jbujHVnN2I2wEN.jpg "GE Aerospace’s Sensiworm made flying safer!")
/2023/09/28/image/png/JxWeuRBc3TFCMjNiVXu2UIt90UamRuAnXtEPxWhT.png "Are plastic-eating worms the solution to plastic waste?")
/2023/09/27/image/jpeg/NkLowKFkYRa5HSpVpzAqp8LxzcqazLWg5FPsmprr.jpg "How this Chinese hypersonic fleet killer will counter U.S. Navy")
/2023/09/26/image/jpeg/zHjalQG1HPbbeDvmS7EoO2EavIo4eaQxvwe5LgUD.jpg "Why we put wind turbines underwater")
/2023/09/25/image/jpeg/QrGYVahotQMvit1WXPMwhWH2HcKqtALSZo6UJyXS.jpg "How Will M10 Booker make The U.S. Army Unstoppable")
/2023/09/24/image/jpeg/KzrjnGeg73nBp79gp6uG4mGSP6z49OiIU7hLlAlx.jpg "Should police have marijuana tests?")
/2023/09/23/image/jpeg/Kap6NAa8IoTyQmZQEwB4waL2MWykBpyJc9piLpRK.jpg "The genius engineering behind 3D-printed rockets")
Did you know that sine and cosine waves can make other functions? This lies at the heart of the Fourier Series.
It is a specific type of infinite mathematical series involving trigonometric functions. The series actually gets its name from the brilliant French mathematician physicist named Jean-Baptiste-Joseph Baron de Fourier.
His Fourier Series is used in applied mathematics across the realms of both physics and electronics. Today, the Fourier series can easily express functions such as those that comprise communications signal waveforms.
Now if you are a bit lost, do not worry, SmarterEveryDay has got you covered. Using the beauty of circles and the help of a Turkish Georgetown student, the video breaks down the Fourier Series in a way that you have never seen before.
Without giving away too many spoilers, the Turkish mathematician takes the complex math behind the series and creates a function that can handle almost anything that is thrown at it.
The Fourier Series can be used for a host of things including signal processing, approximation theory, control theory, and even the partial differential equation. Be sure to check out the video and get your mind blown.
SHOW COMMENT (1)
/2023/09/30/image/jpeg/PoCsIymcwAvQ6sepUEEzWvl5CJ9AlgVQPNCtMaK6.jpg "Llama 2 Long outperforms other AI models in long queries")
/2023/10/01/image/jpeg/EQKNAGtNjLIR6xzbc8JjmQLdygnqZNOaFIpMZbqg.jpg "Apple admits iPhone 15 overheating issue and promises fixes")
/2023/09/30/image/jpeg/j7W0nmt9ybApf7s6NcJo5tsvdEi9ZXLNcrEvZOcW.jpg "Codec avatars: The next frontier of Meta’s VR technology")
/2023/09/04/image/jpeg/UEuPO8vP8YA3PICuhwuvmebK4Pl9Cm1cShTAqGB2.jpg "Chinese researchers create dancing microrobots using lasers")
/2023/09/30/image/jpeg/1WhhgnoNffvKnXEpsuiGMBVoGNrbZUH1b6Nz5XHC.jpg "A new wearable sensor can monitor sweat in real time")
/2023/09/07/image/jpeg/xoPruys7ISOZUopRgsd0FMoNwmVlULDmnFUamkjf.jpg "Is fusion energy getting any closer to reality?")
/2023/08/26/image/png/ny1gzL2fwjRLIco8gac58tlSGZKREl4XSp340YAB.png "12 science, tech, and engineering newsletters you need to check out")
/2023/09/12/image/jpeg/E1LfUWjqRrg0bFqBnRzB7XzmfJAd6YPNclMl5I9n.jpg "How AI can revolutionize health on long-duration spaceflights")
/2023/07/29/image/jpeg/7tlA3v28MfILdeoVd77ZS8anzOgVIc22cYqsIxdt.jpg "How high heat affects EVs and what you can do about it")
/2023/09/30/image/jpeg/IZGEEAVw2PVVXJIIOPpT9vUucMJhQT9h6QTUx6t6.jpg "Google's new undersea cable will connect Portugal and the US")