{"id":"W2091782548","doi":"10.1098/rspa.2000.0517","title":"Modular solutions to equations of generalized Halphen type","year":2000,"lang":"en","type":"article","venue":"Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Symmetrization; Automorphism; Type (biology); Class (philosophy); Modular design; Algebra over a field; Differential (mechanical device); Zero (linguistics); Group (periodic table)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000399832,0.000592248,0.0005393783,0.0008466016,0.0005502777,0.001465249,0.0005841152,0.001314258,0.003988929],"category_scores_gemma":[0.00217929,0.0002848662,0.0005873434,0.0005633745,0.001487849,0.001459548,0.001624699,0.0009935682,0.0004824575],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008180392,"about_ca_system_score_gemma":0.0005849205,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009332644,"about_ca_topic_score_gemma":0.001214537,"domain_scores_codex":[0.9997514,0.0000591255,0.00001182526,0.00002967966,0.00008611492,0.0000618303],"domain_scores_gemma":[0.999673,0.00007915932,0.00009508917,0.00003724846,0.00006393417,0.00005166409],"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":[0.00007720134,0.00003361855,0.001244547,0.00006849111,0.00003234073,0.0007517505,0.0004181361,0.01370533,0.008321147,0.9632562,0.002297686,0.009793418],"study_design_scores_gemma":[0.0001851076,0.00005745329,0.001251876,0.00002676544,0.0000139614,0.0007251695,0.0003555899,0.1499701,0.002524139,0.8408779,0.003959337,0.00005270441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8499349,0.0005855759,0.1046613,0.001645147,0.0002777651,0.0001096176,0.0002011967,0.000221803,0.0423627],"genre_scores_gemma":[0.9654443,0.0004601868,0.01406845,0.0002487273,0.0001783803,0.00008996448,0.0001731105,0.00005729567,0.01927959],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003988929,"threshold_uncertainty_score":0.01334429,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01449813826492397,"score_gpt":0.2368833608819437,"score_spread":0.2223852226170198,"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."}}