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16 entries Random Variable and Distribution Function A clear note on random variables, distributions, and cumulative distribution functions. Interplotation Method A concise introduction to interpolation methods, Lagrange polynomials, and error bounds. Conditional Probabilities and Independence Core notes on conditional probability, total probability, Bayes, and independence. CLI GUI API Fundamentals A introduction to CLI, GUI and API Propositon Logic A practical guide to propositional logic, normal forms, and formal inference. Random Events and Probabilities A concise primer on random events, sigma-algebras, and probability measures. Field Theory A compact field theory note on extensions, finite fields, and Galois ideas. Introduction to Topological Space An intuitive introduction to topological spaces, neighborhoods, compactness, and manifolds. Received the Nanjing University People's Scholarship Recognized by Nanjing University for academic performance and sustained progress during undergraduate study. Won Second Prize in the Jiangsu Division of the National College Student Mathematics Competition Received a provincial award for mathematical problem solving and proof-based reasoning. Ring Theory A broad ring theory notebook on ideals, quotient rings, and Noetherian structure. Won Third Prize in the Jiangsu Division of the National College Student Mathematical Modeling Competition Worked on quantitative modeling and structured analysis in a team-based competition setting. Group Theory A structured summary of group basics, actions, Sylow theorems, and structure results. Fourier Series An introduction to Fourier series, convergence criteria, and Parseval identity. First-order ODE Theory A study note on first-order ODE existence, uniqueness, and local extension. Integral A foundational review of function limits, continuity logic, and convergence criteria.