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 is known that Whistler when asked how long it took him to paint one of his “nocturnes” answered: “All of my life.” With the same rigor he could have said that all of the centuries that preceded the moment when he painted were necessary. From that correct application of the law of causality it follows that the slightest event presupposes the inconceivable universe and, conversely, that the universe needs even the slightest of events.”
—Jorge Luis Borges (1899–1986)
“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)
“There are very few things impossible in themselves; and we do not want means to conquer difficulties so much as application and resolution in the use of means.”
—François, Duc De La Rochefoucauld (1613–1680)