In Einstein's autobiography, he said what defines a human being is not what he does or suffers but what he think and how he thinks!

When Erwin Schrödinger developed his famous equation in 1925-1926, he formulated it as a wave equation for matter waves (inspired by de Broglie). He was thinking in terms of differential equations and their solutions (wavefunctions, ψ) in configuration space. His primary goal was to find an equation that yielded the correct quantized energy levels for … Continue reading From Waves to Vectors: How Schrödinger’s Equation Led to Hilbert Space

Walk into any discussion about fundamental physics, especially particle physics and the Standard Model, and you'll inevitably hear the term "gauge symmetry." It's lauded as a cornerstone principle, the very foundation upon which our understanding of forces (like electromagnetism, the weak force, and the strong force) is built. It’s powerful, elegant, and... somewhat misleadingly named. … Continue reading Gauge Symmetry Should be Phase Symmetry

It is foreseeable that various types of MCP servers will emerge and expand rapidly, alongside CLI tools that facilitate their discovery and management. Noteworthy companies, such as Heroku, are advancing swiftly in this domain, and I intend to explore Heroku's MCP server as a case study, in conjunction with the official documentation published by Anthropic, … Continue reading Fast Growing MCP Community

Index level calculation handles various corporate actions explicitly by leveraging the Divisor Mechanism 1. Historical Continuity The primary purpose of the divisor is to maintain continuity in the index value when changes occur that shouldn't affect the economic value of the index, such as: Stock splits Constituent changes Corporate actions (mergers, spinoffs) 2. How the … Continue reading Building a Complex Functional App Is Easy in Our AI Era 03

Using this comprehensive and systematic approach gives us a great chance to move away from the old Excel and screen methods we've been using. This change not only offers a fresh start but also allows for better efficiency and teamwork. Just think about how much easier our tasks can be when we use modern tools … Continue reading Building a Complex Functional App Is Easy in Our AI Era 02

Strong individuals will increasingly gain power as they take on projects that previously required hundreds or thousands of engineers, now made feasible with the assistance of AI tools. This blog will be about Dash framework of plotly and the next about the structure of portfolio and calculation py files. Plotly is a powerful data visualization … Continue reading Building a Complex Functional App Is Easy in Our AI Era 01

Leave all the heavy-lifting to AI but we need to know how it is designed and structured. For example in this portfolio_analysis_display module, The configuration system was designed with these considerations: Security: Sensitive values like API keys can be provided via environment variables instead of being committed to code Separation of concerns: Configuration is completely … Continue reading Config and Logger

A structured approach to learning topology, organized from foundational concepts to more advanced topics: 1. Prerequisites Set Theory: Understand sets, functions, relations, and cardinality Real Analysis: Familiarity with continuity, convergence, and metric spaces Linear Algebra: Vector spaces and linear transformations 2. Foundational Concepts Metric Spaces Definition and examples Open and closed sets Convergence and completeness … Continue reading Structured Approach to Learning Topology

In this era of artificial intelligence, the traditional methods of learning require reevaluation. While some individuals may possess the patience to engage with exhaustive tutorials or documentation, such approaches are often time-consuming and may still result in a lack of capability to effectively resolve issues. When acquiring new skills, particularly in fields do not require … Continue reading Effective Method to Learn New Skills