Witch of Agnesi - Application

Application

The curve has applications to real-life phenomenon, which has only come at 1900s and 2000s. The Cartesian equation (above) has occurred in modeling of some physical phenomena mathematical models: the equation approximates the spectral line distribution of optical lines and x-rays as well as the amount of power that is dissipated in resonant circuits.

Formally, the curve is equivalent to the probability density function of the Cauchy distribution.

The cross-section of a smooth hill also has a similar shape. It can be used as a generic topographic obstacle into a flow, in mathematical modeling works like, or.

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