Calculate Narayana numbers N(n,k) for combinatorial mathematics using the formula (1/n) * C(n,k) * C(n,k-1). This tool computes binomial coefficient combinations to solve combinatorial counting problems.
Retrieve detailed information about a specific academic author using their unique author ID. Specify desired fields to access tailored insights from the Semantic Scholar Academic Graph API.
Retrieve posts from a specific author by their ID using this tool. Input the author ID and optional limit to fetch results efficiently, aiding in targeted research and analysis.
Retrieve the URL for an author's photo by providing their Open Library Author ID (OLID). Use this tool to access visual profiles of authors for enhanced book-related searches.
Retrieve detailed information about an author using their Open Library Author Key. This tool helps users access key data such as bio, works, and related metadata for authors in the Open Library database.
Provides comprehensive Korean Beauty information through real-time web search, AI-powered skin analysis from photos, and curated knowledge of 58+ K-Beauty brands, ingredients, and personalized skincare routines.
Enables analysis of academic author networks and research collaborations by retrieving co-authors and research keywords from sources like Semantic Scholar, OpenAlex, Crossref, and Google Scholar.
Enables AI assistants to read, write, search, and navigate Obsidian vault notes with support for CRUD operations, full-text search, graph navigation, daily notes, and frontmatter management.