{"id":21891991,"url":"https://github.com/jakedaspud/maths2-notes","last_synced_at":"2025-08-10T14:09:10.079Z","repository":{"id":216728672,"uuid":"742168648","full_name":"JakeDaSpud/Maths2-Notes","owner":"JakeDaSpud","description":"My .md notes for this one maths exam... [Vectors + Matrices + Functions + Graph Theory]","archived":false,"fork":false,"pushed_at":"2024-01-11T23:41:35.000Z","size":5,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-03-22T03:24:25.594Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"language":null,"has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/JakeDaSpud.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null}},"created_at":"2024-01-11T22:31:34.000Z","updated_at":"2024-01-11T22:31:34.000Z","dependencies_parsed_at":"2024-01-12T09:57:53.546Z","dependency_job_id":"ef8c810f-701d-4851-8e8c-d179ffc2107d","html_url":"https://github.com/JakeDaSpud/Maths2-Notes","commit_stats":null,"previous_names":["jakedaspud/maths2-notes"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/JakeDaSpud/Maths2-Notes","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JakeDaSpud%2FMaths2-Notes","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JakeDaSpud%2FMaths2-Notes/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JakeDaSpud%2FMaths2-Notes/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JakeDaSpud%2FMaths2-Notes/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/JakeDaSpud","download_url":"https://codeload.github.com/JakeDaSpud/Maths2-Notes/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JakeDaSpud%2FMaths2-Notes/sbom","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":269734149,"owners_count":24466554,"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","status":"online","status_checked_at":"2025-08-10T02:00:08.965Z","response_time":71,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"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":[],"created_at":"2024-11-28T12:47:06.387Z","updated_at":"2025-08-10T14:09:10.054Z","avatar_url":"https://github.com/JakeDaSpud.png","language":null,"funding_links":[],"categories":[],"sub_categories":[],"readme":"# Maths2-Notes\nMy .md notes for this one maths exam...\n\n**INDEX:**\n[[Vectors](#vectors)]\n[[Matrices](#matrices)]\n[[Functions](#functions)]\n[[Graph Theory](#graph_theory)]\n\n# \u003ca name = \"vectors\"\u003e↗️Vectors↗️\u003c/a\u003e\n\n**Notes:**\n\n-a- -b- -c- (\"a bar, b bar, c bar\") is how i write vector notation\n\n^i^ ^j^ ^k^ (\"i hat, j hat, k hat\") is how i write unit vector notation: **unit vectors define what the size of basic unit / measurement of a vector is (typically 1)**\n\na:i a:j a:k means the *i*, *j* and *k* properties of vector *a*\n\n**Formulae:**\n\n|-a-| *(magnitude of -a-)*: `sqrt((a:i)^2 + (a:j)^2)`\n\n-a- --\u003e ^a^ *(get unit vector of vector)*: `-a- / |-a-|`\n\n-a-.-b- *(dot product of two vectors)*: `(a:i * b:i) + (a:j * b:j)`\n\ncos(θ) *(get cosine of theta: smallest angle between -a- and -b- in radians)*: `(-a-.-b-) / (|-a-| * |-b-|)`\n\nθ *(get theta: smallest angle between -a- and -b- in radians)*: `arcCos((-a-.-b-) / (|-a-| * |-b-|))`\n\n-a- x -b- *(cross, not multiply: cross gives you the tendency of both vector's directions (if you are using 2D vectors, sub ^k^ in with 0))*: \n| ^i^ | ^j^ | ^k^ |\n|---|---|---|\n| a:i | a:j | a:k |\n| b:i | b:j | b:k |\n\n`result vector ^i^ = (a:j * b:k) - (a:k * b:j)`\\\n`result vector ^j^ = - ((a:i * b:j) - (a:j * b:i))`\\\n`result vector ^k^ = (a:i * b:j) - (a:j * b:i)`\n\n\n\n\n\n# \u003ca name = \"matrices\"\u003e🔢Matrices🔢\u003c/a\u003e\n\n**Notes:**\n\n**Formulae:**\n\n\n\n\n\n# \u003ca name = \"functions\"\u003e🌊Functions🌊\u003c/a\u003e\n\n**Notes:**\n\n**Formulae:**\n\n\n\n\n\n# \u003ca name = \"graph_theory\"\u003e🗺️Graph Theory🗺️\u003c/a\u003e\n\n**Notes:**\n\n**Formulae:**\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fjakedaspud%2Fmaths2-notes","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fjakedaspud%2Fmaths2-notes","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fjakedaspud%2Fmaths2-notes/lists"}