2025
- Jun 8 Krylov’s Approach of Recovering Pressure from Velocity
- May 24 Best Constant in the Weak Type Inequality of the Dyadic Maximal Function
- Jan 20 Can We Deduce Separability of a Space from Its Product $\sigma$-Algebra?
2024
- Dec 27 Reflections on Idempotent Elements: A Problem Revisited
- Dec 24 Solutions to the Final Exam for MATH2510: Algebra, Fall 2024, Brown University
- Dec 23 Solutions to the Practice Final for MATH2510: Algebra, Fall 2024, Brown University
- Oct 3 Why the Bergman Kernel Gives Rise to an Orthogonal Projection?
- Oct 2 Application of Wirtinger Derivatives to Harmonic Functions
- Sep 13 A Simple Estimate Involving $A_p$ Weights
- Sep 9 What does a Category with One Morphism between Each Pair of Objects Look like?
- Aug 30 A Summary of $H_1$-BMO Duality
- Aug 28 Integral Representation of Sub/super/harmonic Functions
- Jul 16 Why the Method of Freezing Coefficients Works?
- Jun 11 Why is the Calderón–Zygmund lemma the generalization of the Rising Sun lemma?
- Jun 5 A Sufficient Condition for Independence of Random Variables Using the Idea of Approximation
- Apr 4 A Conversation about the Heat Equation in My TA Session — $L^2$ Convergence of Energy
- Mar 4 Why Do You Sometimes Need Physics for PDE?
- Feb 14 The Spectrum of the Fourier Transform Operator
- Feb 8 Prove Lebesgue-Radon-Nikodym (LRN) Theorem in Three Ways
- Jan 10 An Exercise about Uniform Integrability