Jeff Smith's Math Puzzle for February 7, 2025 - A circle is trapped under a sine wave, someone call the rescue squad. The ...

The t parameter, of course, is time in seconds. If you think about a sine wave, it is really showing a point on a moving and rotating circle. So each cycle is 2π radians. By multiplying the frequ ...

Sine-wave speech can be thought of as a sort of auditory illusion, a sensory edge case in which one’s experience has a clear “before” and “after” moment, like going through a one-way door.