1
00:00:00,000 --> 00:00:03,000
The answer is a ½ or 0.5
2
00:00:03,000 --> 00:00:08,000
To see, let us multiply these two gaussians over here--
3
00:00:08,000 --> 00:00:10,950
which the exponent becomes an addition--
4
00:00:10,950 --> 00:00:12,950
we can now rewrite this as follows--
5
00:00:12,950 --> 00:00:18,950
when we bring the factor 2, for these two terms in to the numerator
6
00:00:18,950 --> 00:00:21,000
as our 2 sigma square,
7
00:00:21,000 --> 00:00:25,000
and from that we see that the new variance is 0.5
8
00:00:25,000 --> 00:00:28,750
as large as the old one when applied to the squares.
9
00:00:28,750 --> 99:59:59,999
So, as a result, you would have this equation over here.