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.
Read more about this topic: Witch Of Agnesi
Famous quotes containing the word application:
“It would be disingenuous, however, not to point out that some things are considered as morally certain, that is, as having sufficient certainty for application to ordinary life, even though they may be uncertain in relation to the absolute power of God.”
—René Descartes (1596–1650)
“Great abilites are not requisite for an Historian; for in historical composition, all the greatest powers of the human mind are quiescent. He has facts ready to his hand; so there is no exercise of invention. Imagination is not required in any degree; only about as much as is used in the lowest kinds of poetry. Some penetration, accuracy, and colouring, will fit a man for the task, if he can give the application which is necessary.”
—Samuel Johnson (1709–1784)
“The human mind is capable of excitement without the application of gross and violent stimulants; and he must have a very faint perception of its beauty and dignity who does not know this.”
—William Wordsworth (1770–1850)