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  Understanding Completing the Square and How the Quadratic Formula Is Derived
  Last Updated on June 8, 2026 by Rajeev Bagra One of the most elegant ideas in algebra is completing the square. It is not only a technique for solving quadratic equations, but also the process from which the famous quadratic formula is derived. In this post, we’ll explore: What Is a Perfect Square Expression? A… Read more: Understanding Completing the Square and How the Quadratic Formula Is Derived
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  Understanding Scikit-learn (sklearn): A Beginner’s Guide to Machine Learning in Python
  Last Updated on June 7, 2026 by Rajeev Bagra Machine Learning has transformed the way computers solve problems. From recommendation engines and fraud detection systems to spam filters and medical diagnosis tools, machine learning is at the heart of many modern technologies. For Python programmers and Computer Science students, one of the most important libraries… Read more: Understanding Scikit-learn (sklearn): A Beginner’s Guide to Machine Learning in Python
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  Understanding Why the Lowest Exponent Gives the Greatest Common Factor
  Last Updated on June 7, 2026 by Rajeev Bagra While solving recurrence relations such as we often substitute to obtain The next step is usually to divide by But why do we choose this particular power? The Greatest Common Factor Principle For powers of the same base, the greatest common factor (GCF) is obtained by… Read more: Understanding Why the Lowest Exponent Gives the Greatest Common Factor
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  Understanding Why We Assume P_i = r^i When Solving the Gambler’s Ruin Recurrence
  Last Updated on June 7, 2026 by Rajeev Bagra
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  Why Learn Lua in 2026? Beyond Games, Lua Has Real Uses for Website Owners, Developers, and Bloggers
  Last Updated on June 4, 2026 by Rajeev Bagra When most people hear about the Lua programming language, they immediately think about video games. That is understandable because Lua is widely used in game development, including popular titles and game engines. However, limiting Lua to gaming is a mistake. Lua has quietly become one of… Read more: Why Learn Lua in 2026? Beyond Games, Lua Has Real Uses for Website Owners, Developers, and Bloggers
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  Can You Learn Computer Science with Just an Android Smartphone? My Thoughts After Exploring CS50 and Modern Coding Tools
  Last Updated on June 2, 2026 by Rajeev Bagra For many years, learning computer science seemed impossible without owning a desktop computer or laptop. Programming was associated with expensive hardware, large monitors, specialized software, and dedicated study spaces. Today, that assumption is becoming less true. After exploring Harvard University’s CS50 ecosystem, GitHub Codespaces, and the… Read more: Can You Learn Computer Science with Just an Android Smartphone? My Thoughts After Exploring CS50 and Modern Coding Tools
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  Learning Lua and Love2D: A Complete Roadmap for Aspiring 2D Game Developers
  Last Updated on May 31, 2026 by Rajeev Bagra Introduction If you’ve ever wanted to create your own 2D games, Lua and Love2D (LÖVE) provide one of the most beginner-friendly and rewarding paths into game development. Lua is a lightweight programming language that is easy to learn yet powerful enough to power games, scripting systems,… Read more: Learning Lua and Love2D: A Complete Roadmap for Aspiring 2D Game Developers
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  Could Quantum Computing Store Every Possible 3-Hour Video Ever Made?
  Last Updated on May 28, 2026 by Rajeev Bagra Imagine a gigantic digital universe containing every possible 3-hour combination of: Inside such a collection would exist: At first glance, quantum computing seems like the perfect technology for such a mind-bending idea. After all, quantum computers are often described as machines that can process countless possibilities… Read more: Could Quantum Computing Store Every Possible 3-Hour Video Ever Made?
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  Real-World Applications of a Running Total Probability Problem
  Last Updated on May 14, 2026 by Rajeev Bagra Probability problems involving dice often look abstract at first glance, but many of them model real-world systems surprisingly well. Consider this process: What is the probability that the running total ever becomes exactly ? Mathematically, this creates the recursive relation: where: Although this starts as a… Read more: Real-World Applications of a Running Total Probability Problem

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