WEBVTT
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The answer is a ½ or 0.5
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To see, let us multiply these two gaussians over here--
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which the exponent becomes an addition--
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we can now rewrite this as follows--
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when we bring the factor 2, for these two terms in to the numerator
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as our 2 sigma square,
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and from that we see that the new variance is 0.5
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as large as the old one when applied to the squares.
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So, as a result, you would have this equation over here.