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Average number of trials needed to find a needle in a haystack
3blue1brown (Grant Sanderson) has an awesome video about Quantum Computing. At the start, he gives an example problem, whose outcome was not mathemitally clear to me! Simple problem, but deep brain-itch.
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Variance analysis - Stratified Sampling v/s Random sampling
Prove that variance of stratified sampling is lower as compared to random sampling.
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Jacobian of the LTC transformation
Deriving the jacobian of the LTC transform. In-detail walkthrough.