• RecordNumber
    3895
  • Author

    Spector, Donald

  • Crop_Body
    Donald Spector
  • Title of Article

    Visualizing (Number Theoretic) Functions with Portraits

  • Title Of Journal
    Bridges
  • Publication Year
    2020
  • Abstract
    I offer a way to determine properties of mathematical functions through a new visualization method that takes advantage of human perception of images. Since the digitization of images turns images into arrays of numbers, one can apply mathematical functions to images on a pixel-by-pixel basis. Thanks to the pattern recognition skills of humans, the form of the transformed images can give ready insight into the behavior of those mathematical functions. I explain the method and give some examples here, with a particular focus on number theoretic functions.