{"id":"W4403241532","doi":"10.48550/arxiv.2410.01494","title":"Equilibrium of Charges and Differential Equations Solved by Polynomials II","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Differential equation; Applied mathematics; Differential (mechanical device); Mathematical analysis; Mathematical physics; Physics; Thermodynamics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001641557,0.0003371384,0.0005507138,0.0002558125,0.0001375478,0.0001174402,0.000368504,0.0003146266,0.0003256546],"category_scores_gemma":[0.00007172642,0.0003498713,0.0002437175,0.0002092638,0.0002304885,0.0001045833,0.001867136,0.0004295593,0.00001653262],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007049246,"about_ca_system_score_gemma":0.000168893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002409987,"about_ca_topic_score_gemma":0.00005671875,"domain_scores_codex":[0.998464,0.00008722975,0.0004015414,0.0006644417,0.0001124532,0.0002703015],"domain_scores_gemma":[0.9986551,0.0002430441,0.0003239712,0.0005414441,0.0001151627,0.0001213069],"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":[0.00009476226,0.0009266665,0.0002776267,0.002400471,0.001202896,0.00003375026,0.001509292,0.0006174446,0.0295107,0.9549435,0.007718642,0.0007642913],"study_design_scores_gemma":[0.0008558898,0.0001532195,0.00004506347,0.0004840216,0.001210059,0.000002073871,0.0002720297,0.07586197,0.003304137,0.9167318,0.0003979462,0.0006817774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9508041,0.0002771286,0.04596006,0.0001096995,0.0005437512,0.0004502099,0.0004407988,0.0001424912,0.001271797],"genre_scores_gemma":[0.9892443,0.0001112238,0.0001980737,0.000007612206,0.00008801694,0.000002853406,0.0001243922,0.00004367536,0.01017988],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07524452,"threshold_uncertainty_score":0.9998953,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1117462221394179,"score_gpt":0.2282227350399685,"score_spread":0.1164765129005506,"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."}}