New blog similar vector search

[0xGeorgii]

No description provided.

[Copilot]

Pull Request Overview

This PR introduces a new blog post on similarity vector search with comprehensive explanations of key algorithms and their applications in modern AI systems in both Japanese and English.

• Added detailed markdown content covering similarity search algorithms, including L1/L2 distances, cosine similarity, and advanced techniques like HNSW, PQ, and LSH.
• Provides pseudo-code examples and interactive diagrams to support understanding.

Reviewed Changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 4 comments.

File	Description
content/jp/blog/similar-vectors-search.md	New Japanese blog post detailing similarity vector search algorithms and applications.
content/en/blog/similar-vectors-search.md	New English blog post covering the same content with examples, formulas, and pseudo-code.

[Copilot]

Pull Request Overview

This pull request introduces a new blog post on similarity vector search written in both Japanese and English. The key changes include:

• Adding a Japanese version of the blog post that details various similarity search algorithms and their applications.
• Adding an English version of the blog post with similar content and technical descriptions.
• Including pseudo-code examples, mathematical formulations, and embedded interactive diagrams to support the technical discussion.

Reviewed Changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 3 comments.

File	Description
content/jp/blog/similar-vectors-search.md	New Japanese blog post covering algorithms, use cases, and pseudo-code examples.
content/en/blog/similar-vectors-search.md	New English blog post covering the same content with technical formulas and diagrams.

Comments suppressed due to low confidence (2)

content/en/blog/similar-vectors-search.md:54

• The summation index is reversed. It should be written as "$$\sum_{i=1}^{n}\left | x_i - y_i \right |$$" for clarity and mathematical correctness.

$$\sum_{n}^{i=1}\left | x_i - y_i \right |$$

content/en/blog/similar-vectors-search.md:76

• The summation order for the inner product is incorrect. It should be "$$\sum_{i=1}^{n} x_i \cdot y_i$$" to properly reflect the intended mathematical operation.

$$\sum_{n}^{i=1} x_i \cdot y_i$$

[Copilot]

Pull Request Overview

This PR introduces a new blog post on similarity vector search algorithms and their applications in modern AI systems. The changes include a comprehensive article written in both Japanese and English with detailed mathematical formulations, pseudocode examples, and practical use cases.

Reviewed Changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 4 comments.

File	Description
content/jp/blog/similar-vectors-search.md	Adds a new Japanese blog post with detailed explanations and examples.
content/en/blog/similar-vectors-search.md	Adds a new English blog post with equivalent content and mathematical formulas.

[Copilot]

Pull Request Overview

This PR introduces a new blog post on similarity vector search in modern AI systems with detailed explanations of various search algorithms and supporting pseudo-code examples.

• Added a comprehensive Japanese version of the blog post.
• Added an English version mirroring the Japanese content with clear explanations and illustrations.

Reviewed Changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated no comments.

File	Description
content/jp/blog/similar-vectors-search.md	New Japanese blog post covering similarity search algorithms, pseudo-codes, and real-world examples.
content/en/blog/similar-vectors-search.md	New English blog post with content parallel to the Japanese version, including technical details and diagrams.