It can be defined in terms of a limit of the Airy function. Also defined as a normalized Gaussian function in the limit of zero width, its derivative is called a doublet.
It can be defined in terms of a limit of the Airy function. Also defined as a normalized Gaussian function in the limit of zero width, its derivative is called a doublet. Its namesake's comb is a periodic Schwartz distribution constructed from it. Its antiderivative is the Heaviside step function, its Fourier transform is the constant function ["one over the square root of quantity two pi"], and its integral over the real line is 1, despite the fact that it takes the value zero everywhere except at the origin. FTP, name this useful distribution in physics, used as an approximation for a tall narrow spike function, named after the discoverer of the positron.
It can be defined in terms of a limit of the Airy function. Also defined as a normalized Gaussian function in the limit of zero width, its derivative is called a doublet.
{Dirac Delta} function (accept "{unit impulse} function")