{"id":"W4386690641","doi":"10.4153/s000843952300070x","title":"Entry and leaving arcs of turnpikes: their exact computation in the calculus of variations","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Transversality; Mathematics; Completeness (order theory); Computation; Calculus of variations; Realization (probability); Euler's formula; Calculus (dental); Mathematical analysis; Applied mathematics; Algorithm","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001097773,0.0004982689,0.0005937478,0.001389674,0.0009988982,0.001844863,0.001031445,0.0008400072,0.004843095],"category_scores_gemma":[0.00559776,0.0003827001,0.0005585183,0.0005529317,0.002122899,0.002410905,0.001296851,0.001530934,0.0003396984],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001461452,"about_ca_system_score_gemma":0.0009966538,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004831908,"about_ca_topic_score_gemma":0.004048401,"domain_scores_codex":[0.9997144,0.00006143157,0.00001080823,0.00004932269,0.0001054537,0.00005842359],"domain_scores_gemma":[0.9991676,0.0004778763,0.00006463179,0.00006994791,0.00009239615,0.0001275707],"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":[0.00004184362,0.00002173269,0.0007291146,0.00004718651,0.00001091354,0.0001442544,0.0002228449,0.1415381,0.001623383,0.8398552,0.0006153398,0.01515009],"study_design_scores_gemma":[0.000007003579,0.00001714989,0.0002688034,0.00002038897,0.00000509456,0.00004074877,0.00006992291,0.5669566,0.0008133942,0.4303738,0.001412057,0.00001505222],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2485273,0.0004433522,0.7304404,0.0003477243,0.0001233272,0.0000742207,0.00008596665,0.0004392961,0.01951851],"genre_scores_gemma":[0.9237047,0.0002821911,0.06814671,0.00005263993,0.00004520568,0.00005971727,0.00006936912,0.0003200839,0.007319288],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004843095,"threshold_uncertainty_score":0.01620173,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02282962958531575,"score_gpt":0.266038941376913,"score_spread":0.2432093117915972,"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."}}