chore: enhance sample posts with author, tags, and coverImage frontmatter
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title: "Euler's Identity: The Most Beautiful Equation"
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title: "Euler's Identity: The Most Beautiful Equation"
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date: "2025-02-20"
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date: "2025-02-20"
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excerpt: "Exploring the profound connection between five fundamental mathematical constants through complex analysis, power series, and geometric interpretation."
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excerpt: "Exploring the deepest connection between five fundamental constants in mathematics and why Euler's identity is considered the most beautiful equation."
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author: Maria Gonzalez
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tags:
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- mathematics
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- euler
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- complex-numbers
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coverImage: /images/euler-cover.jpg
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Euler's identity is widely regarded as the most beautiful equation in all of mathematics:
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Euler's identity is widely regarded as the most beautiful equation in all of mathematics:
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title: "Mastering TypeScript: From Basics to Advanced Patterns"
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title: "Mastering TypeScript: From Basics to Advanced Patterns"
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date: "2025-01-15"
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date: "2025-01-15"
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excerpt: "A comprehensive TypeScript tutorial covering type system fundamentals, utility types, generics, decorators, and real-world architectural patterns for building robust applications."
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excerpt: "A comprehensive guide to TypeScript's type system, from basic types to advanced patterns like conditional types, mapped types, and generics."
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author: Alex Chen
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tags:
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- typescript
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- programming
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- tutorial
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coverImage: /images/typescript-cover.jpg
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---
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Welcome to this comprehensive TypeScript tutorial! Whether you are migrating a JavaScript project or starting fresh, this guide will walk you through TypeScript's type system from fundamentals to advanced patterns used in production codebases.
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Welcome to this comprehensive TypeScript tutorial! Whether you are migrating a JavaScript project or starting fresh, this guide will walk you through TypeScript's type system from fundamentals to advanced patterns used in production codebases.
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title: "Fourier Analysis: From Mathematical Theory to Python Practice"
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title: "Fourier Analysis: From Mathematical Theory to Python Practice"
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date: "2025-03-10"
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date: "2025-03-10"
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excerpt: "A deep, hands-on exploration of Fourier analysis — deriving the theory, implementing it in Python, visualizing convergence, and confronting the Gibbs phenomenon head-on."
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excerpt: "A deep, hands-on exploration of Fourier analysis — deriving the theory, implementing it in Python, visualizing convergence, and confronting the Gibbs phenomenon head-on."
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tags: ["mathematics", "python", "signal-processing", "fourier", "analysis"]
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tags:
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- mathematics
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- python
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- signal-processing
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- tutorial
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author: James Liu
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coverImage: /images/fourier-cover.jpg
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# Fourier Analysis: From Mathematical Theory to Python Practice
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# Fourier Analysis: From Mathematical Theory to Python Practice
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