Question: (2 points) Show that after every round t, we have w wt+1 w wt + . 1.2 (4 points) Show that after every round t,

(2 points) Show that after every round t, we have w wt+1 w wt + . 1.2 (4 points) Show that after every round t, we have wt+12 2 wt2 2 + 3. 1.3 (3 points) Using the above two parts, show that after T rounds, T wT +12 3T . Hint: Use the Cauchy-Schwarz Inequality: ab ab

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