{"id":"W4392976419","doi":"10.4006/0836-1398-37.1.38","title":"Formulation of physical fields from systems of first order linear partial differential equations","year":2024,"lang":"en","type":"article","venue":"Physics Essays","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Physics; Applied mathematics; Linear differential equation; First-order partial differential equation; Order (exchange); Partial differential equation; Mathematical analysis; Mathematics; Quantum mechanics","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":[0.001270785,0.0008045462,0.0007258443,0.0008163151,0.0005625254,0.001653518,0.001121884,0.0009133123,0.003703169],"category_scores_gemma":[0.001424711,0.0003626312,0.0008812232,0.0005509859,0.001610537,0.001767623,0.001349606,0.001882936,0.0006504913],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000832785,"about_ca_system_score_gemma":0.001076333,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009986559,"about_ca_topic_score_gemma":0.001381066,"domain_scores_codex":[0.9995524,0.0001796064,0.00002635604,0.0000476514,0.0001644684,0.00002948923],"domain_scores_gemma":[0.9994913,0.0001723705,0.00008476117,0.00006758614,0.0001454437,0.00003845246],"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":[0.000004647568,0.00001243061,0.00005963058,0.00004663861,0.000008215788,0.00005684653,0.00009763848,0.02215196,0.001413136,0.9729922,0.0004702097,0.002686365],"study_design_scores_gemma":[0.00001949917,0.00005715682,0.0001670158,0.00003882124,0.00001259274,0.0001159516,0.0001057826,0.3019525,0.0009734779,0.6861699,0.01036738,0.00001989897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01258885,0.0006449974,0.9622393,0.001020554,0.0002901214,0.00007820345,0.0001591864,0.00007463464,0.02290416],"genre_scores_gemma":[0.4092534,0.00256563,0.55393,0.0008876218,0.0007971743,0.0006742201,0.0004982214,0.0001743562,0.0312193],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003703169,"threshold_uncertainty_score":0.01238835,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04381847267952244,"score_gpt":0.3066277944023071,"score_spread":0.2628093217227847,"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."}}