MacTutor logo MacTutor

Curves

Frequency Curve

Main
Cartesian equation:
y=√(2π)exp⁡(−x2/2)y = √(2π) \exp(-x^{2}/2)

View the interactive version of this curve.

Description

This curve, the normal curve of error, originated with de Moivre in 1733. It was also studied with Laplace and Gauss.

The name frequency curve also applies to a great variety of other curves.

Associated Curves

Definitions of the Associated curves

  • Evolute
  • Involute 1
  • Involute 2
  • Inverse curve wrt origin
  • Inverse wrt another circle
  • Pedal curve wrt origin
  • Pedal wrt another point
  • Negative pedal curve wrt origin
  • Negative pedal wrt another point
  • Caustic wrt horizontal rays
  • Caustic curve wrt another point