{"id":"W2963674359","doi":"10.1017/s1474748010000010","title":"Jet and prolongation spaces","year":2010,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":44,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Prolongation; Mathematics; Jet (fluid); Variety (cybernetics); Algebraic number; Pure mathematics; Differential (mechanical device); Algebra over a field; Mathematical analysis; Statistics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004656878,0.00006013798,0.0001750933,0.00007104271,0.00003930328,0.00003166804,0.0005265745,0.00003310056,0.000001294123],"category_scores_gemma":[0.0002131043,0.00003405742,0.00007115288,0.0001185719,0.0001122359,0.0004190673,0.0001212683,0.0001389422,4.667797e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004672966,"about_ca_system_score_gemma":0.00009523959,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004427092,"about_ca_topic_score_gemma":0.000009405159,"domain_scores_codex":[0.999252,0.00001328896,0.0003796015,0.00004863991,0.0002495369,0.00005698798],"domain_scores_gemma":[0.9987417,0.00006921055,0.0008359545,0.0001890944,0.0001301261,0.00003385861],"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":[0.00003387113,0.0008429389,0.002591204,0.0008766052,0.0001912332,0.00001066699,0.009642678,0.001458918,0.3159564,0.596744,0.001081325,0.07057018],"study_design_scores_gemma":[0.002025841,0.0005546021,0.02618451,0.001064758,0.0001535969,0.0009240772,0.0002162606,0.06457437,0.3194872,0.5813934,0.003065039,0.0003563481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9636122,0.00003962976,0.03341613,0.001756625,0.0008443739,0.0000629462,6.092162e-7,0.000004111625,0.0002633741],"genre_scores_gemma":[0.8876203,0.000004883304,0.1122746,0.00001759599,0.00006030059,2.601823e-7,3.964207e-8,0.000002034701,0.00001994597],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07885851,"threshold_uncertainty_score":0.1388821,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01131618703653951,"score_gpt":0.2346837702528618,"score_spread":0.2233675832163223,"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."}}