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Say we have a prior of a Gaussian with a mean mu and covariance sigma squared,
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and our measurement has exactly the same mean and same covariance.
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Suppose we multiply both and get a new mean, which is the same as the old mean,
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and we get a new covarience, sigma squared,
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which as you all know, corresponds to a more peaked Gaussian.
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I want you to express nu squared as a multiple of sigma squared.
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Just put the answer here as a real number.