{"action":"created","issue":{"url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/issues/51","repository_url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo","labels_url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/issues/51/labels{/name}","comments_url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/issues/51/comments","events_url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/issues/51/events","html_url":"https://github.com/flipdazed/Hybrid-Monte-Carlo/issues/51","id":167983582,"number":51,"title":"Unit Tests: Theoretical Results for (integrated) Autocorrelations","user":{"login":"flipdazed","id":8991915,"avatar_url":"https://avatars.githubusercontent.com/u/8991915?v=3","gravatar_id":"","url":"https://api.github.com/users/flipdazed","html_url":"https://github.com/flipdazed","followers_url":"https://api.github.com/users/flipdazed/followers","following_url":"https://api.github.com/users/flipdazed/following{/other_user}","gists_url":"https://api.github.com/users/flipdazed/gists{/gist_id}","starred_url":"https://api.github.com/users/flipdazed/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/flipdazed/subscriptions","organizations_url":"https://api.github.com/users/flipdazed/orgs","repos_url":"https://api.github.com/users/flipdazed/repos","events_url":"https://api.github.com/users/flipdazed/events{/privacy}","received_events_url":"https://api.github.com/users/flipdazed/received_events","type":"User","site_admin":false},"labels":[{"url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/labels/Enhancement","name":"Enhancement","color":"0e8a16"},{"url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/labels/Low%20Priority","name":"Low Priority","color":"1d76db"}],"state":"open","locked":false,"assignee":null,"assignees":[],"milestone":{"url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/milestones/3","html_url":"https://github.com/flipdazed/Hybrid-Monte-Carlo/milestones/Autocorrelation%20Functions","labels_url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/milestones/3/labels","id":1833213,"number":3,"title":"Autocorrelation Functions","description":"Measure autocorrelation functions and their associated errors","creator":{"login":"flipdazed","id":8991915,"avatar_url":"https://avatars.githubusercontent.com/u/8991915?v=3","gravatar_id":"","url":"https://api.github.com/users/flipdazed","html_url":"https://github.com/flipdazed","followers_url":"https://api.github.com/users/flipdazed/followers","following_url":"https://api.github.com/users/flipdazed/following{/other_user}","gists_url":"https://api.github.com/users/flipdazed/gists{/gist_id}","starred_url":"https://api.github.com/users/flipdazed/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/flipdazed/subscriptions","organizations_url":"https://api.github.com/users/flipdazed/orgs","repos_url":"https://api.github.com/users/flipdazed/repos","events_url":"https://api.github.com/users/flipdazed/events{/privacy}","received_events_url":"https://api.github.com/users/flipdazed/received_events","type":"User","site_admin":false},"open_issues":2,"closed_issues":6,"state":"open","created_at":"2016-06-16T20:52:56Z","updated_at":"2016-08-04T09:18:11Z","due_on":"2016-07-29T23:00:00Z","closed_at":null},"comments":9,"created_at":"2016-07-27T23:55:31Z","updated_at":"2016-08-06T16:12:09Z","closed_at":null,"body":"**Aim**\r\nNeed to iron out any (remaining) bugs and validate the theory as the equations are giant\r\n\r\n**Method**\r\n- Verify theory in `Mathematica` between each case of GHMC\r\n- Use verified `Mathematica` script to produce test cases for each case\r\n- Split the Laplace Transform into polynomial coefficient arrays so the function is defined by:\r\n\r\n        n = [0, 1, 2] # 0 + x + 2*x**2\r\n        d = [5, 1, 4] # 5 + x + 4*x**2\r\n        # f = (0 + x + 2*x**2) / (5 + x + 4*x**2)\r\n        f = lambda x: (n*x**np.arange(n.size)).sum()/(d*x**np.arange(d.size)).sum()\r\n\r\n- Validate numerators and denominators separately\r\n\r\n**Know Issues**\r\n - $r=\\tau$ instead of $r=1/\\tau$\r\n - `M2_Exp` $\\theta=\\pi/2$, $P_{\\text{acc}} \\ne 1$"},"comment":{"url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/issues/comments/238031114","html_url":"https://github.com/flipdazed/Hybrid-Monte-Carlo/issues/51#issuecomment-238031114","issue_url":"https://api.github.com/repos/flipdazed/Hybrid-Monte-Carlo/issues/51","id":238031114,"user":{"login":"flipdazed","id":8991915,"avatar_url":"https://avatars.githubusercontent.com/u/8991915?v=3","gravatar_id":"","url":"https://api.github.com/users/flipdazed","html_url":"https://github.com/flipdazed","followers_url":"https://api.github.com/users/flipdazed/followers","following_url":"https://api.github.com/users/flipdazed/following{/other_user}","gists_url":"https://api.github.com/users/flipdazed/gists{/gist_id}","starred_url":"https://api.github.com/users/flipdazed/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/flipdazed/subscriptions","organizations_url":"https://api.github.com/users/flipdazed/orgs","repos_url":"https://api.github.com/users/flipdazed/repos","events_url":"https://api.github.com/users/flipdazed/events{/privacy}","received_events_url":"https://api.github.com/users/flipdazed/received_events","type":"User","site_admin":false},"created_at":"2016-08-06T16:12:09Z","updated_at":"2016-08-06T16:12:09Z","body":"Had previously forgotten that `Mathematica` returns a quintic root which cannot be solved without a full numerical reduction by input parameters.\r\n\r\nThe best solution is therefore given by python else I would have to code a root finder in boost and ceebs"}}
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