Hello, this is Aaron Lin. I am currently a math concentrator at Brown University, and my main interests are harmonic analysis, PDEs, and HoTT. I share my experiences of learning math here. I often find the proofs in textbooks difficult to understand, so I hope to share some of my own understanding of mathematics and provide some motivation for various concepts. If you like my content or have any questions related to math, feel free to contact me via email.
I am also a user of Zhihu (a Chinese version of Quora) and I answer questions about math on this platform.
Posts
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Krylov’s Approach of Recovering Pressure from Velocity
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Best Constant in the Weak Type Inequality of the Dyadic Maximal Function
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Can We Deduce Separability of a Space from Its Product $\sigma$-Algebra?
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Reflections on Idempotent Elements: A Problem Revisited
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Solutions to the Final Exam for MATH2510: Algebra, Fall 2024, Brown University
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Solutions to the Practice Final for MATH2510: Algebra, Fall 2024, Brown University
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Why the Bergman Kernel Gives Rise to an Orthogonal Projection?
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Application of Wirtinger Derivatives to Harmonic Functions
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A Simple Estimate Involving $A_p$ Weights
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What does a Category with One Morphism between Each Pair of Objects Look like?
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A Summary of $H_1$-BMO Duality
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Integral Representation of Sub/super/harmonic Functions
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Why the Method of Freezing Coefficients Works?
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Why is the Calderón–Zygmund lemma the generalization of the Rising Sun lemma?
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A Sufficient Condition for Independence of Random Variables Using the Idea of Approximation
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A Conversation about the Heat Equation in My TA Session — $L^2$ Convergence of Energy
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Why Do You Sometimes Need Physics for PDE?
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The Spectrum of the Fourier Transform Operator
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Prove Lebesgue-Radon-Nikodym (LRN) Theorem in Three Ways
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An Exercise about Uniform Integrability
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Is $L^\infty$ the Limit of $L^p$ (Categorically)?
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Uniqueness of the Euclidean Topology
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