{"id":"W2228321856","doi":"10.1063/1.4953371","title":"The continuous transition of Hamiltonian vector fields through manifolds of constant curvature","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Spacecraft Dynamics and Control","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Pacific Institute for the Mathematical Sciences; University of Victoria","funders":"","keywords":"Gaussian curvature; Vector field; Constant curvature; Hamiltonian (control theory); Curvature; Euclidean geometry; Constant (computer programming); Mean curvature; Vector potential","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":[0.0001594943,0.00008852002,0.0003087789,0.00001128224,0.00001842692,0.00000886322,0.0001321899,0.00006461358,0.00001566606],"category_scores_gemma":[0.00003862517,0.00004511142,0.0001696409,0.00005533211,0.000074326,0.00008528426,0.000006533157,0.0001283814,0.00000195669],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001875039,"about_ca_system_score_gemma":0.0000188425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.076578e-7,"about_ca_topic_score_gemma":0.000001239316,"domain_scores_codex":[0.9992055,0.00001757774,0.000412231,0.00003639327,0.0002133254,0.000114976],"domain_scores_gemma":[0.999209,0.0003191961,0.0001747106,0.0001351626,0.0001301032,0.00003182929],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002142166,0.0003878984,0.00006675929,0.0006572037,0.0009865441,0.00002921969,0.003072545,0.001024879,0.2682799,0.703621,0.002175029,0.01948483],"study_design_scores_gemma":[0.003053394,0.0006692236,0.0003962147,0.001575147,0.0003785072,0.0000953039,0.0005835677,0.04599062,0.03570041,0.9100292,0.001184436,0.0003439228],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1839705,0.000479359,0.8108596,0.001372848,0.0002620609,0.0001343779,0.0000259347,0.00001642479,0.002878913],"genre_scores_gemma":[0.9987189,0.0001216945,0.001000891,0.00001897648,0.0001011769,0.000001094173,1.267246e-7,0.0000129502,0.00002416352],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8147484,"threshold_uncertainty_score":0.183959,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005722890569754326,"score_gpt":0.2018839788746208,"score_spread":0.1961610883048664,"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."}}