{"id":"W2170152077","doi":"10.48550/arxiv.0806.4196","title":"Jet and prolongation spaces","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Prolongation; Mathematics; Variety (cybernetics); Jet (fluid); Algebraic number; Pure mathematics; Differential (mechanical device); Algebra over a field; Mathematical analysis; Physics; Medicine; Statistics; Cardiology; Mechanics","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":[0.001421777,0.0005382905,0.0005705068,0.002190321,0.001549935,0.003394685,0.0008723107,0.0008667054,0.007826508],"category_scores_gemma":[0.0032273,0.0002574543,0.0006820295,0.001846215,0.006216503,0.008534383,0.003954534,0.003070013,0.0008737484],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008411451,"about_ca_system_score_gemma":0.0004818045,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004079085,"about_ca_topic_score_gemma":0.000195028,"domain_scores_codex":[0.9989275,0.0002681446,0.00006072672,0.0002311084,0.000361225,0.0001513003],"domain_scores_gemma":[0.9987078,0.0004071505,0.0001455249,0.0002527683,0.0002123695,0.0002744248],"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":[0.000009256673,0.000003378188,0.00005867344,0.00001488779,0.000001554413,0.00004091097,0.0001803371,0.0003007891,0.0004130532,0.9958947,0.0001998987,0.002882671],"study_design_scores_gemma":[0.000006467904,0.00003485386,0.0001772241,0.00001558179,0.000003637572,0.0001504251,0.0001400929,0.002719583,0.0005841699,0.9850267,0.01113125,0.00001004063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2542379,0.006925178,0.5430726,0.003176735,0.001567279,0.00009754919,0.0004826998,0.0005172714,0.1899228],"genre_scores_gemma":[0.9288394,0.002733456,0.04120772,0.0003984013,0.001166537,0.00006153913,0.000294783,0.000174797,0.02512331],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007826508,"threshold_uncertainty_score":0.02618229,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0341686913077236,"score_gpt":0.2485768109586039,"score_spread":0.2144081196508803,"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."}}