Fragments
Fragments
Study records, correspondence, engineering notes, satire, and short pieces that do not fit the main library sections.
30 fragments6 categories
Engineering NotesSeminar NotesMathematical StudyCorrespondenceSatirePersonal Archive
Engineering Notes
A Survey on Unsupervised Discovery and Structuring of Implicit Reasoning in Mathematics
A conceptual survey on structuring implicit mathematical reasoning for retrieval-augmented systems.
2026-02-15
Engineering Notes
Architecture Evolution and Breakthrough: How to "Smuggle" Traffic During ICP Filing Window
A technical diary on service routing, deployment constraints, and compliance-aware workarounds during an ICP filing window.
2026-02-08
Engineering Notes
Multimodal Large Model-Based Bank Customer Emotion Recognition: Bank of Nanjing Project and R&D Insights
Engineering notes on a multimodal customer-emotion recognition system for banking quality inspection.
2026-02-03
Engineering Notes
Project Refactoring Development Diary: The "Violent Migration" from Vite to Next.js
A development diary on migrating a project from Vite to Next.js under deployment and routing constraints.
2026-02-02
Seminar Notes
From Divergent Series to Stable Homotopy — On the Equation
A correction of an earlier analytic reading of $0=1-1=-1+1=0$ toward K-theoretic and homotopical meaning.
2025-12-17
Seminar Notes
A First Glimpse of AI and Topos Theory: Aha Moment Brought by a Lecture at PKU
A seminar-inspired note on topos theory, explainability, and structural approaches to AI.
2025-12-10
Mathematical Study
Discussion on Explaining VAE to New Students and Reflections on Its Core Principles
A teaching reflection on explaining VAEs through dimensionality reduction, latent variables, and generative modeling.
2025-12-08
Correspondence
Follow-up on Hugo Duminil-Copin's Lecture: Probing SAW Universality and 4D Triviality
A follow-up email outline on self-avoiding walks and four-dimensional triviality after Hugo Duminil-Copin’s lecture.
2025-11-27
Seminar Notes
A Successful Star-Chase: Cutting Class for Hugo Duminil-Copin's Lecture on Self-Avoiding Walks
A personal lecture record from Hugo Duminil-Copin’s talk on self-avoiding walks.
2025-11-26
Mathematical Study
The "Holy War" Moves to the Server Room — Notes on Mochizuki’s Oct 2025 Report
Notes on the October 2025 IUT report and the shift from mathematical persuasion to formal verification rhetoric.
2025-11-15
Engineering Notes
Discussion and Reflection on MLP Teaching Routes: Regression vs. Classification Entry Points
A teaching-design reflection on whether MLPs should be introduced through regression, classification, or perceptrons.
2025-10-12
Engineering Notes
Implementation and Technical Exploration of U-Net-SE with Positional Offset
An engineering reflection on adding spatial priors and positional offsets to U-Net for emoji fusion.
2025-10-10
Satire
The Tian-Cai Confluence: Geometric-Combinatorial Proof of Identity
A deliberately absurd mathematical satire constructing a fictional identity between Tian Gang and Cai Yuxi.
2025-08-03
Mathematical Study
Minecraft: The Riemann Manifold of Fun—A Hypothetical Physics Simulation
A playful physics review of Minecraft as a universe with altered axioms and engineering-friendly laws.
2025-07-30
Satire
The Proper Way to Speak Like a Mathematical Maniac: A Self-created Meme
A humorous lexicon translating ordinary speech into absurdly overformal mathematical expressions.
2025-07-14
Seminar Notes
The Space Between the Lines: A Post-Gaokao Journey into Knot Theory via Nikonov's seminar
A post-Gaokao learning record on Nikonov’s seminar, partial tribrackets, and knot-theoretic language.
2025-07-05
Personal Archive
The Naming Game — From RC，Runnel, Rangnuo, Jeanot to Rinelle
A philological and autobiographical note on names, aliases, courtesy names, and self-fashioning.
2025-06-28
Seminar Notes
Echoes of Summer — From Hopf Fibrations to Higher Algebra
A nostalgic reconstruction of a Hopf-fibration learning episode through a later algebraic-geometry lecture poster.
2024-07-27
Mathematical Study
The Minuet of Marching Drill — Homotopy Analysis Based on Topological Behavioral Science
A satirical essay using topology and category theory to parody campus marching drill.
2023-11-27
Satire
The Zermelo-Hessian-Kan Program and Its Real-World Metaphors
A satirical “grand program” using mathematical language to parody classroom authority and psychological rhetoric.
2023-09-21
Mathematical Study
The Derivation of Trigonometric Sum and Difference Formulas from Advanced Standpoints
A note on deriving trigonometric sum formulas through geometry, algebra, and tensor-inspired attempts.
2023-02-23
Correspondence
Correspondence with Professor Tom Leinster: My Translation of "Rethinking Set Theory" and a Request for Guidance
Correspondence with Tom Leinster about translating “Rethinking Set Theory” and studying modern mathematics.
2022-12-30
Mathematical Study
The Geometry of Dialogue and the Logic of Narrative: A Taste of Linear Logic
A synthetic note on linear logic as resource, game, dialogue, and narrative structure.
2022-10-05
Satire
Synthesis and Properties of a Novel Tungsten-Containing Organic Compound Based on Superchemistry Theory
A pseudo-chemistry parody built from online “superchemistry” terminology and deliberately impossible compounds.
2022-10-03
Mathematical Study
The Absolute Zero: Saburou Saitoh’s Crusade to Redefine Mathematics
A critical note on Saburou Saitoh’s “division by zero” program and the boundary between credentials and crank-like claims.
2022-07-18
Mathematical Study
Unveiling Arithmetic Deformation Theory: Reflections on Fesenko’s "Notes on the work of Shinichi Mochizuki"
A reading note on Ivan Fesenko’s exposition of IUT and the intuition of arithmetic deformation.
2021-10-07
Correspondence
A Gateway to Dualities: Mirror Symmetry between Space and Structure
A 2021 reading record on Stone duality and the geometry--algebra correspondence.
2021-07-21
Seminar Notes
Prop Presentations for Linear Algebra: The Calculus
Notes on graphical linear algebra and the prop presentation of matrices by string diagrams.
2021-06-21
Mathematical Study
Christmas Night at Geek College: From Free Products to Asymptotic Envelopes
A Christmas-night record from Geek College, moving from coproducts to measure-theoretic intuition.
2020-12-25
Personal Archive
Initial Construction and Preliminary Properties of Chunpinative Geometry
A deliberately fictional geometric system built around a parody axiom on supplementary angles.
2020-12-07