Gaussian Function

* Gaussian function is given by   f (x) = a exp [ - (x-b)2/ 2c2 ] where a, b, c are arbitrary real constants.-∞ f(x) dx = ac√(2Π) which is on the basis of
* If a=1/c√(2Π) , then f(x) = 1 and the Gaussian function is called Normal Probability Density Function where b is the mean and c is the standard deviation.
* The Log of a gaussian function is a concave quadratic function.
* Product of 2 gaussian functions is also a gaussian function and the convolution of a gaussian function is also a gaussian function.
* Gaussian function is an eigenfunction of the continuous Fourier Transform.
* Gaussian functions centered at zero minimize the Fourier uncertainty principle.
* Full Width at half maximum of the peak is given by
Reference---lognormal distribution,online utilities, Gabor patch generator, open access journals,Nature reports,