{"id":"W2049095833","doi":"10.1016/j.nonrwa.2008.04.006","title":"New central configurations for the planar 7-body problem","year":2008,"lang":"en","type":"article","venue":"Nonlinear Analysis Real World Applications","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"Ministerio de Economía y Competitividad","keywords":"Pentagon; Planar; Geometry; Mathematics; Physics; Combinatorics; Computer science; Computer graphics (images)","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":[0.00009849692,0.0001607303,0.0003169905,0.0001683337,0.0007461326,0.0000429559,0.0002727743,0.00005109822,0.0002022938],"category_scores_gemma":[0.00003565378,0.0001125927,0.0003690203,0.001537861,0.00006676092,0.00006343765,0.00001731363,0.0001186027,0.00003132502],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006250929,"about_ca_system_score_gemma":0.0001107045,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004089542,"about_ca_topic_score_gemma":0.005766801,"domain_scores_codex":[0.9986545,0.00003086836,0.000506563,0.0002942672,0.0002337811,0.0002800119],"domain_scores_gemma":[0.9980832,0.0008639221,0.0002025036,0.0005326844,0.0001573675,0.0001602898],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001736727,0.0002559696,0.000930326,0.00002213819,0.001247764,4.175994e-7,0.0001753801,0.002668362,0.0003404264,0.9849584,0.00529558,0.004087865],"study_design_scores_gemma":[0.001092843,0.0000447111,0.007958116,0.00001398247,0.004728139,0.000005830565,0.0001960548,0.4318715,0.0001736839,0.1121793,0.4411087,0.0006271713],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0003352306,0.00003749565,0.9914765,0.001285087,0.0000236921,0.00130343,0.0002491587,0.0001148286,0.00517452],"genre_scores_gemma":[0.4274989,0.0001577433,0.4908897,0.0001509543,0.00149964,0.002707058,0.001837594,0.00007322859,0.07518511],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.8727791,"threshold_uncertainty_score":0.5738724,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03844583187398773,"score_gpt":0.3311576301135332,"score_spread":0.2927117982395454,"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."}}