{"id":"W2000705665","doi":"10.1119/1.1643370","title":"Jacobi’s 1842 solution of the inverse-square problem","year":2004,"lang":"en","type":"article","venue":"American Journal of Physics","topic":"Robotic Mechanisms and Dynamics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada; Royal Ottawa Mental Health Centre","funders":"","keywords":"Square (algebra); Memoir; Simple (philosophy); Inverse; Inverse problem; Inverse-square law; Physics; Applied mathematics; Calculus (dental); Algebra over a field; Pure mathematics; Mathematics; Classical mechanics; Epistemology; Mathematical analysis; Art history; History; Philosophy; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00007646021,0.00007983225,0.0001826088,0.00002193813,0.00002763534,0.000007072439,0.0001605138,0.00001613981,0.000003302149],"category_scores_gemma":[0.000006450906,0.00005747335,0.0001201011,0.000229784,0.0000811486,0.00009203062,0.00001776022,0.0001624742,0.000002669868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007538689,"about_ca_system_score_gemma":0.00005664453,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002563581,"about_ca_topic_score_gemma":0.000009330298,"domain_scores_codex":[0.9994123,0.0000146509,0.0002319469,0.00004129605,0.0001811433,0.0001186453],"domain_scores_gemma":[0.9995129,0.00001299802,0.0002247915,0.0001259427,0.00007814293,0.00004525106],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004818045,0.00003019046,0.00008647921,0.00002151248,0.00004171808,0.000001603198,0.0004808081,0.9713467,0.008173675,0.006365945,0.0001741161,0.01327247],"study_design_scores_gemma":[0.007509541,0.005408402,0.008869218,0.002668875,0.0009407995,0.000539328,0.008527148,0.4249035,0.09473025,0.4416958,0.001971317,0.002235895],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1815777,0.00003456479,0.8169196,0.0001889528,0.0003750486,0.00007742043,0.000004173026,0.00002048262,0.0008020411],"genre_scores_gemma":[0.9422594,0.00003066476,0.05751852,0.00004462484,0.0001194643,5.952828e-7,3.869753e-7,0.00001685765,0.000009432006],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7606817,"threshold_uncertainty_score":0.2343695,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00599340246109742,"score_gpt":0.1860489256039106,"score_spread":0.1800555231428131,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}