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A comprehensive guide to the Fourier Transform, covering its mathematical foundations, the relationship between time and frequency domains, and practical implementations in Julia. Includes examples of spectral analysis, Gaussian pulses, cosine waves, and the Gibbs phenomenon when building square waves from harmonics.

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This post demonstrates end-to-end implementation of local large language models using Ollama framework, featuring three open-source clients: Page Assist browser extension for web integration, Cherry Studio for VS Code development environments, and AnythingLLM desktop application for document-driven AI workflows. The tutorial covers installation protocols, API configuration best practices, and performance optimization techniques for Windows-based LLM deployments.