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• 14:51, 19 September 2024 Liumingmou talk contribs created page 数据科学基础 (Fall 2024)/Problem Set 1 (Created page with "*每道题目的解答都要有完整的解题过程，中英文不限。 *我们推荐大家使用LaTeX, markdown等对作业进行排版。 <h2 id="problem-1">Problem 1 (Probability space)</h2> <ul> <li>[<strong>De Morgan’s Laws</strong>] Let <math>\{A_i\}</math> be a collection of sets. Prove <math>\left(\bigcup_iA_i\right)^c=\bigcap_iA_i^c</math>.</li> <li>[<strong><math>\sigma</math>-algebra</strong>] Let <math>A</math> and <math>B</math> belong to some <math>\s...")