John Wavelet (mathematical contributions)

Jean-Baptiste Joseph Fourier introduced the concept of representing functions as sums of simpler waveforms, but wavelet theory expands on this by using "wavelets," which are small waves that can be easily stretched and shifted. Carlo Morandi and Ingrid Daubechies later developed wavelet transforms, allowing for detailed analysis of signals and images at multiple resolutions. This approach is particularly useful in data compression—like JPG or MP3 formats—and noise reduction. Wavelets help capture both frequency and location information, making them powerful tools in various fields, including mathematics, engineering, and computer science.