Much of the knowledge available online today—especially in relatively niche areas of mathematics—varies significantly in quality. Specifically, many resources stop at a simple statement of a theorem or property without providing the rigorous justification required by mathematics. Others may offer a proof, but the steps are often abrupt, unclear, or heavily dependent on specialized terminology and background knowledge, making comprehension difficult. Even large language models, often regarded as "omniscient," can provide vague or incorrect explanations due to insufficient training data in these less-explored domains.
This is why I created this blog, with two main intentions: to deepen my own understanding by articulating what I’ve learned, and to offer high-quality reference material for fellow learners. The target readers are those with a foundational background in mathematics—real analysis, linear algebra, probability, and mathematical statistics. I strive to adopt a recursive learning approach in each post: when a derivation step requires a less-obvious result, I temporarily accept it and continue; later, I revisit and rigorously derive that earlier result; and so on, recursively, until all steps are made transparent and understandable. Of course, some topics may delve into advanced mathematics. In such cases, I will reference internal lecture notes as supplements, allowing readers to follow along more smoothly and master the advanced material.
Below is my personal information:
Educational Background
- 2022.8 - Present: Southeast University, Mathematics major, minor in Computer Science
Awards
- 2024.12: MathorCup Big Data Competition, National Second Prize
- 2024.11: National College Students Mathematics Competition, Provincial First Prize
- 2024.6: "Teddy Cup" Data Mining Competition, National First Prize
- 2023.11: National College Students Mathematics Competition, Provincial First Prize
- 2023.10: Southeast University, Outstanding Student
- 2023.10: National Scholarship for Encouragement