Rewrite the Cookbook introduction to make it more accessible

[paytonison]

This pull request replaces the old introductory article on large language models with a new, more concise and practical guide aimed at developers. The new article, openai-cookbook-llms-101.md, provides hands-on code examples, covers core concepts, and highlights practical tips for working with LLMs in real applications.

Documentation update and improvement:

• Removed the outdated how_to_work_with_large_language_models.md article, which was more verbose and less focused on code-first guidance.
• Added a new article, openai-cookbook-llms-101.md, that delivers a practical, code-centric introduction to LLMs, including Python and JavaScript examples, quick-start guides, and explanations of key concepts like tokenization, embeddings, transformer layers, and sampling.

Developer-oriented enhancements:

• The new guide emphasizes actionable advice, such as default parameter choices, streaming responses, prompt design, and common pitfalls, making it easier for developers to apply LLMs in real-world scenarios.
• Includes a glossary and sections on limitations and best practices, helping developers avoid common mistakes and design robust LLM-powered apps.

Motivation

The original introductory article felt slapdash and more like something written by a person who’s long been working with AI, throwing together a random assortment of very basic things without clearly explaining the finer points of what an LLM really is and how they’ve evolved into so much more. It’s also more casual.

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[Copilot]

Pull Request Overview

This PR modernizes the introductory documentation for LLMs by replacing the outdated how_to_work_with_large_language_models.md with a new developer-focused guide openai-cookbook-llms-101.md. The new article provides a practical, code-first introduction to LLMs with hands-on examples in both Python and JavaScript.

• Removes verbose, less practical content and replaces it with concise, actionable guidance
• Adds comprehensive code examples and streaming implementations
• Includes practical tips on parameters, limitations, and common pitfalls

Reviewed Changes

Copilot reviewed 4 out of 4 changed files in this pull request and generated 5 comments.

File	Description
registry.yaml	Adds entry for the new LLMs 101 article with metadata
authors.yaml	Adds new author "paytonison" with profile information
articles/openai-cookbook-llms-101.md	New comprehensive, code-focused LLM introduction guide
articles/how_to_work_with_large_language_models.md	Removes the old introductory article

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