{"id":24740573,"url":"https://github.com/mariosieg/mathematics-lua","last_synced_at":"2025-03-22T19:21:07.144Z","repository":{"id":238677042,"uuid":"797173039","full_name":"MarioSieg/mathematics-lua","owner":"MarioSieg","description":"Lua snippets for testing different mathematical principles we learn by studying mathematics at university.","archived":false,"fork":false,"pushed_at":"2024-05-10T08:53:17.000Z","size":8,"stargazers_count":2,"open_issues_count":0,"forks_count":0,"subscribers_count":2,"default_branch":"main","last_synced_at":"2025-01-27T23:27:38.058Z","etag":null,"topics":["lua","mathematics"],"latest_commit_sha":null,"homepage":"","language":"Lua","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"unlicense","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/MarioSieg.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2024-05-07T10:35:12.000Z","updated_at":"2024-05-10T08:53:20.000Z","dependencies_parsed_at":"2024-05-10T09:48:50.138Z","dependency_job_id":"0d24eea0-2486-43f1-90b0-bdd2f5b87472","html_url":"https://github.com/MarioSieg/mathematics-lua","commit_stats":null,"previous_names":["mariosieg/mathematics-lua"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/MarioSieg%2Fmathematics-lua","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/MarioSieg%2Fmathematics-lua/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/MarioSieg%2Fmathematics-lua/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/MarioSieg%2Fmathematics-lua/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/MarioSieg","download_url":"https://codeload.github.com/MarioSieg/mathematics-lua/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":245008606,"owners_count":20546370,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["lua","mathematics"],"created_at":"2025-01-27T23:24:29.506Z","updated_at":"2025-03-22T19:21:07.109Z","avatar_url":"https://github.com/MarioSieg.png","language":"Lua","funding_links":[],"categories":[],"sub_categories":[],"readme":"# mathematics-lua\n Mathematical snippets for studying and testing different mathematical principles from our studies at TU Berlin.\n\n## Executing\n```\nluajit \u003cfile\u003e\n```\nor if you use PUC Lua:\n```\nlua \u003cfile\u003e\n```\n\n## Topics\n\n1. Faculty\n\n$$\nn!:=\\prod_{k=1}^n k=1 \\cdot 2 \\cdot \\ldots \\cdot n\n$$\n\n2. Binomial coefficient\n\n$$\n\\binom{n}{k}:=\\prod_{j=1}^k \\frac{n-j+1}{j}=\\frac{n(n-1) \\cdot \\ldots \\cdot(n-k+1)}{1 \\cdot 2 \\cdot \\ldots \\cdot k}\n$$\n\n3. Sequences\n\nA sequence is formally defined as a function whose domain is an interval of integers.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmariosieg%2Fmathematics-lua","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fmariosieg%2Fmathematics-lua","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmariosieg%2Fmathematics-lua/lists"}