The maximum value, which occurs at x = 0, is 1/√π=0.5642, and it is easy to show that the half width at half the maximum is √ln2=0.8326. Also of some interest (though n...The maximum value, which occurs at x = 0, is 1/√π=0.5642, and it is easy to show that the half width at half the maximum is √ln2=0.8326. Also of some interest (though not particularly in this chapter) is the square root of the second moment of area around the y-axis. The area outside the limits x = ±a, which is the area under the two “tails” of the gaussian function, is sometimes called the complementary error function:
