1. Introduction Recently, I watched a film about the mathematician Ramanujan, *The Man Who Knows No Bounds*. This film doesn't attempt to explain complex mathematical formulas to the audience, but rather repeatedly emphasizes a more intuitive question: what happens to a genius if they are born in the wrong era? Ramanujan was…

1. Prologue: From Chaos to the Necessity of Using the Term "System" Judging solely from the article titles, my blog content does indeed seem increasingly "miscellaneous": from home data centers, Docker, WordPress, Cloudflare, multi-active architecture, and AI, extending...

1. From Experimentation to Fundamental Capability: In a previous article introducing RAG, I mentioned that the core tool for vectorizing segmented text is the "embedding model" (see article: Understanding RAG from Scratch (Part 1): Principles and Complete Process Analysis). In subsequent articles…

1. Introduction In a previous article (see: Home Data Center Series: Understanding RAG from Scratch (Part 1): Principles and Complete Process Analysis), I introduced the theoretical five-step process of RAG: "Segmentation → Vectorization → Vector Storage → Retrieval → Answer Generation"; subsequently…

1. Introduction Many of us have seen this almost reflexive scene in movies and TV shows: the electrocardiogram (ECG) on the monitor suddenly becomes a straight line; the atmosphere freezes, the doctor shouts, and the defibrillator is brought in; "Clear!"—after the shock, the ECG waveform miraculously returns to normal…

1. Starting with the Black and White Keys: The Smallest Structural Unit of the Musical System. In a previous article (see: The Awakening of Sound - Basics (Part 1): Pitch Structure and Auditory Stability), I mentioned an important fact: the fifth interval describes the auditory proximity or distance between pitches. For example, C and…

1. The immediate reason for writing this article, when stability begins to require maintenance, is that a cross-border transit service provider I've relied on for a long time (which I've always considered the most technically professional) recently went bankrupt, causing my access architecture, which had been running stably for years, to suddenly fail. This change forced me to…

1. A Huge Pitfall Encountered When Logging into Telegram on a New iPad Recently, considering I no longer needed mobile work, I sold my unused M1 MacBook Pro and iPad mini 6 on Zhuanzhuan (a second-hand marketplace app): Then, I added some money and exchanged them for cellular versions with national subsidies…

1. Control Issues Regarding WordPress Email Notifications Most WordPress website users are probably familiar with WordPress's email notification feature. Whether it's automatic core version upgrades, automatic plugin upgrades, or notifications about new site updates…

1. Before discussing low, mid, and high notes, many music lovers have likely pondered this question: Is my voice low, mid, or high? This question seems simple, and it even appears that a simple vocal range test could provide the answer: how high can I sing…