Mikusinski's identity gives the square root of this function, and the integral of this function of x minus y times f of x is equal to f of y, meaning it obeys the sifting property, which makes it the convolution function's identity operator.
Mikusinski's identity gives the square root of this function, and the integral of this function of x minus y times f of x is equal to f of y, meaning it obeys the sifting property, which makes it the convolution function's identity operator. A Green's function is defined as the solution of an equation which sets a linear operator equal to a value of this function, and one method of deriving it is taking the derivative of the Heaviside Step Function. A group of them is known as their namesake's "comb". Usually shown as an up-arrow, it represents the limit of a statistical distribution as the standard deviation goes to zero. For 10 points, name this function useful for defining impulsive forces, which is infinite in a single point and zero elsewhere.
Mikusinski's identity gives the square root of this function, and the integral of this function of x minus y times f of x is equal to f of y, meaning it obeys the sifting property, which makes it the convolution function's identity operator.
{Dirac Delta} Function