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Generating Quasi-Random Sequences From Slightly-Random ...A Probabilistic Polynomial Time Statistical Test Is A Function From GO,l{* To IO,l{, Which Is Computed By A Probabilistic Polynomial Time Turing Machine. A Pseudo-random Number Gen- Erator Passes A Probabilistic Polynomial Time Statistical Test If For Every T>O, For N Sufficiently Large, The Average Value Of The Test (function) 10th, 2024CUTOFF PHENOMENA FOR RANDOM WALKS ON RANDOM REGULAR GRAPHSTotal-variation, Its Location And Its Optimal Window, Both For Simple And For Non-backtracking Random Walks On G(n;d). Namely, For Any Xed D 3, The Simple Random Walk On G(n;d) Whp Has Cuto At D Dp 2 Log 1 N With Window Order Logn. Surprisingly, The Non-backtracking Random Walk On G(n;d) Whp Has Cuto Already At Log D 1 N With Constant Window Order. 11th, 2024SYSTEMATIC RANDOM SAMPLE Systematic Random SampleSuppose That We Must Choose 4 Addresses Out Of 100. Because 100/4 = 25, We Can Think Of The List As Four Lists Of 25 Addresses. Choose 1 Of The First 25 Addresses At Random Using Table B. The Sample Contains This Address And The Addresses 25, 50 5th, 2024.
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