{"action":"created","issue":{"url":"https://api.github.com/repos/vkostyukov/la4j/issues/254","labels_url":"https://api.github.com/repos/vkostyukov/la4j/issues/254/labels{/name}","comments_url":"https://api.github.com/repos/vkostyukov/la4j/issues/254/comments","events_url":"https://api.github.com/repos/vkostyukov/la4j/issues/254/events","html_url":"https://github.com/vkostyukov/la4j/issues/254","id":55151383,"number":254,"title":"Feature request: linear spaces ","user":{"login":"SamoylovMD","id":2554245,"avatar_url":"https://avatars.githubusercontent.com/u/2554245?v=3","gravatar_id":"","url":"https://api.github.com/users/SamoylovMD","html_url":"https://github.com/SamoylovMD","followers_url":"https://api.github.com/users/SamoylovMD/followers","following_url":"https://api.github.com/users/SamoylovMD/following{/other_user}","gists_url":"https://api.github.com/users/SamoylovMD/gists{/gist_id}","starred_url":"https://api.github.com/users/SamoylovMD/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/SamoylovMD/subscriptions","organizations_url":"https://api.github.com/users/SamoylovMD/orgs","repos_url":"https://api.github.com/users/SamoylovMD/repos","events_url":"https://api.github.com/users/SamoylovMD/events{/privacy}","received_events_url":"https://api.github.com/users/SamoylovMD/received_events","type":"User","site_admin":false},"labels":[],"state":"open","locked":false,"assignee":null,"milestone":null,"comments":1,"created_at":"2015-01-22T13:10:44Z","updated_at":"2015-01-22T13:16:02Z","closed_at":null,"body":"Linear (vector) space is an important concept in linear algebra. It is a mathematical structure formed by a collection of elements called vectors, which may be added together and multiplied (\"scaled\") by numbers, called scalars in this context. So, in our case it can be a separate object which has collection of vectors as a basis, and some methods for it:\r\n```\r\nclass LinearSpace {\r\n    List<Vector> basis;\r\n    ...\r\n    LinearSpace(List<Vector> system);\r\n    int dimension();\r\n    boolean contains(Vector vector);\r\n    boolean isSubspace(LinearSpace space);\r\n    LinearSpace sum(LinearSpace space);\r\n    LinearSpace intersection(LinearSpace space);\r\n    //etc..\r\n}\r\n```\r\n"},"comment":{"url":"https://api.github.com/repos/vkostyukov/la4j/issues/comments/71018353","html_url":"https://github.com/vkostyukov/la4j/issues/254#issuecomment-71018353","issue_url":"https://api.github.com/repos/vkostyukov/la4j/issues/254","id":71018353,"user":{"login":"SamoylovMD","id":2554245,"avatar_url":"https://avatars.githubusercontent.com/u/2554245?v=3","gravatar_id":"","url":"https://api.github.com/users/SamoylovMD","html_url":"https://github.com/SamoylovMD","followers_url":"https://api.github.com/users/SamoylovMD/followers","following_url":"https://api.github.com/users/SamoylovMD/following{/other_user}","gists_url":"https://api.github.com/users/SamoylovMD/gists{/gist_id}","starred_url":"https://api.github.com/users/SamoylovMD/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/SamoylovMD/subscriptions","organizations_url":"https://api.github.com/users/SamoylovMD/orgs","repos_url":"https://api.github.com/users/SamoylovMD/repos","events_url":"https://api.github.com/users/SamoylovMD/events{/privacy}","received_events_url":"https://api.github.com/users/SamoylovMD/received_events","type":"User","site_admin":false},"created_at":"2015-01-22T13:16:02Z","updated_at":"2015-01-22T13:16:02Z","body":"Also, linear spaces can be returned when we solve linear system with infinite solutions (another way to solve #124)."}}