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#TypeScript#JavaScript#Type Safety

TypeScript Advanced Types: Generics, Discriminated Unions & Mapped Types

Master TypeScript advanced types, generics, conditional types, and build bulletproof type-safe applications.

March 7, 20269 min read

#Python#Data Science#NumPy

NumPy vs Pandas: When to Use Each for Data Processing

Learn when to use NumPy vs Pandas, optimize data processing 100x faster, and handle 1B+ rows efficiently.

March 7, 202611 min read

January 6, 202611 min read

Why LLMs Fail at Complex Tasks: The Math Behind Compounding Error in AI Code Generation

Learn why LLMs fail on long reasoning chains due to compounding error. Includes mathematical proofs, real-world AI coding failures, and actionable engineering strategies to mitigate AI hallucinations in software development.

#LLM limitations#compounding error#AI hallucinations

January 16, 202611 min read

Testing LLM Reasoning on Novel Problems: What 400 Experiments Reveal

We ran 400 experiments on competitive programming problems LLMs have never seen before. The results reveal that when memorization is eliminated, prompt formatting matters far less than model selection.

#vibe-coding#LLM-benchmarks#novel-problems

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🔢Algebra

Introduction to Linear Algebra: Vectors and Matrices

A comprehensive guide to understanding vectors, matrices, and their operations - the building blocks of linear algebra.

January 3, 20268 min read

#linear-algebra#vectors#matrices

January 14, 202612 min read

The Hidden Cost of "Ship It Fast": When Velocity Becomes Technical Debt

A post-mortem on vibe coding—the practice of prioritizing momentum over maintainability. Learn why shipping fast without foundations is the most expensive shortcut you'll ever take, and how to recover.

#vibe-coding#technical-debt#software-engineering

January 9, 20268 min read

Screenshot-to-Code vs. Specs-Driven Development: The 2026 Design Handoff Evolution

A real-world experiment reveals the profound gap between AI visual approximation and production-ready code. Learn why context pipelines are the future of design-to-code workflows.

#vibe coding#AI development#design systems

CrewAI Tools: Building Custom Agents & Tool Integration (Guide)

Complete guide to building tools for CrewAI agents. Learn @tool decorator, tool creation, built-in tools, and multi-agent workflows.

March 1, 202616 min read

#crewai#ai-agents#llm

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🔣Number Theory

Modular Arithmetic Fundamentals

Master the basics of modular arithmetic with practical examples.

March 6, 20265 min read

#number-theory

January 25, 202610 min read

Temperature Sensitivity in LLM Code Generation: A 752-Run Experiment

We tested how temperature (0, 0.3, 0.7, 1.0) affects code generation accuracy on 100 competitive programming problems. The surprising result: temperature barely matters for problem-solving, but model selection does.

#vibe coding#LLM temperature#Gemini

January 15, 20269 min read

XML vs Natural Language Prompts: An Experimental Comparison

We tested XML-structured versus natural language prompts across 144 experiments spanning code generation, mathematics, reasoning, and complex multi-step tasks. The results reveal significant efficiency gains—but with important caveats.

#vibe-coding#prompt-engineering#XML-prompts

February 5, 202612 min read

The Full Papercut Audit: Where AI Coding Tools Break Down

A comprehensive friction analysis across five dimensions: bracket completion, comment verbosity, over-engineering, multi-file projects, and iterative modification. Gemini CLI achieves perfect zero friction.

#ai-coding#claude-code#codex-cli