Blog Archive
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- June 2025 - Krylov’s Approach of Recovering Pressure from Velocity
- May 2025 - Best Constant in the Weak Type Inequality of the Dyadic Maximal Function
- January 2025 - Can We Deduce Separability of a Space from Its Product $\sigma$-Algebra?
- December 2024 - Reflections on Idempotent Elements: A Problem Revisited
- December 2024 - Solutions to the Final Exam for MATH2510: Algebra, Fall 2024, Brown University
- December 2024 - Solutions to the Practice Final for MATH2510: Algebra, Fall 2024, Brown University
- October 2024 - Why the Bergman Kernel Gives Rise to an Orthogonal Projection?
- October 2024 - Application of Wirtinger Derivatives to Harmonic Functions
- September 2024 - A Simple Estimate Involving $A_p$ Weights
- September 2024 - What does a Category with One Morphism between Each Pair of Objects Look like?
- August 2024 - A Summary of $H_1$-BMO Duality
- August 2024 - Integral Representation of Sub/super/harmonic Functions
- July 2024 - Why the Method of Freezing Coefficients Works?
- June 2024 - Why is the Calderón–Zygmund lemma the generalization of the Rising Sun lemma?
- June 2024 - A Sufficient Condition for Independence of Random Variables Using the Idea of Approximation
- April 2024 - A Conversation about the Heat Equation in My TA Session — $L^2$ Convergence of Energy
- March 2024 - Why Do You Sometimes Need Physics for PDE?
- February 2024 - The Spectrum of the Fourier Transform Operator
- February 2024 - Prove Lebesgue-Radon-Nikodym (LRN) Theorem in Three Ways
- January 2024 - An Exercise about Uniform Integrability
- November 2023 - Is $L^\infty$ the Limit of $L^p$ (Categorically)?
- November 2022 - Uniqueness of the Euclidean Topology