{"id":"W2012583573","doi":"10.1007/s10440-014-9999-4","title":"Solutions of First-Order Quasilinear Systems Expressed in Riemann Invariants","year":2014,"lang":"en","type":"article","venue":"Acta Applicandae Mathematicae","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal; Université du Québec à Trois-Rivières; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Nonlinear system; Partial differential equation; Generalization; Mathematical analysis; Riemann hypothesis; Matrix (chemical analysis); Hyperbolic partial differential equation; Type (biology); Pure mathematics; Physics","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":[0.0008275881,0.0009589472,0.0007724186,0.001763361,0.0009421778,0.004035639,0.000983694,0.001659665,0.005217754],"category_scores_gemma":[0.002460261,0.0004481537,0.0008225428,0.001207776,0.002097272,0.002948025,0.001867036,0.001794517,0.0007368476],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001473552,"about_ca_system_score_gemma":0.001210649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00088651,"about_ca_topic_score_gemma":0.0007011069,"domain_scores_codex":[0.9996137,0.0001138931,0.00003056853,0.00004414067,0.0001092831,0.00008838113],"domain_scores_gemma":[0.9993044,0.000216406,0.0001740303,0.00005920535,0.0001374787,0.000108444],"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":[0.00005572091,0.00004340104,0.0003400536,0.00006363389,0.00001976084,0.0001284605,0.0003463721,0.009415518,0.005110075,0.9795045,0.0007924869,0.00418],"study_design_scores_gemma":[0.00007805927,0.00008541966,0.0007470339,0.00004233478,0.00002230469,0.0002119339,0.0003666547,0.2037418,0.002697604,0.7894907,0.002460701,0.00005544392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5419204,0.002043654,0.367895,0.002926646,0.0008619427,0.0001676617,0.0004292455,0.0004589878,0.08329657],"genre_scores_gemma":[0.9314279,0.001176761,0.02561058,0.0003088714,0.0003890387,0.0001487244,0.0002724122,0.0001523941,0.04051334],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005217754,"threshold_uncertainty_score":0.01745516,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01456441095928356,"score_gpt":0.2445253127182141,"score_spread":0.2299609017589306,"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."}}