0:00:00.000,0:00:03.000
The answer is a ½ or 0.5
0:00:03.000,0:00:08.000
To see, let us multiply these two gaussians over here--
0:00:08.000,0:00:10.950
which the exponent becomes an addition--
0:00:10.950,0:00:12.950
we can now rewrite this as follows--
0:00:12.950,0:00:18.950
when we bring the factor 2, for these two terms in to the numerator
0:00:18.950,0:00:21.000
as our 2 sigma square,
0:00:21.000,0:00:25.000
and from that we see that the new variance is 0.5
0:00:25.000,0:00:28.750
as large as the old one when applied to the squares.
0:00:28.750,9:59:59.000
So, as a result, you would have this equation over here.