{"id":"W1953187029","doi":"10.1017/jsl.2015.35","title":"DIFFERENTIAL-ALGEBRAIC JET SPACES PRESERVE INTERNALITY TO THE CONSTANTS","year":2015,"lang":"en","type":"preprint","venue":"Journal of Symbolic Logic","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Agence Nationale de la Recherche","keywords":"Jet (fluid); Differential (mechanical device); Mathematics; Variety (cybernetics); Counterexample; Algebraic number; Pure mathematics; Tangent; Space (punctuation); Differential algebraic geometry; Tangent space; Abstraction; Algebra over a field; Field (mathematics); Differential geometry; Constant (computer programming); Algebraic variety; Real algebraic geometry; Mathematical analysis; Geometry; Discrete mathematics; Differential equation; Computer science; Physics; Differential algebraic equation; Ordinary differential equation","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":[0.001135815,0.0003396678,0.0006956874,0.0002485073,0.00009659907,0.0007375591,0.003637905,0.0001690828,0.0000405825],"category_scores_gemma":[0.0003927792,0.0001923656,0.0003005778,0.0003356009,0.00008387267,0.0002806507,0.00298977,0.0009553363,0.00005304878],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001739195,"about_ca_system_score_gemma":0.0006776571,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001199397,"about_ca_topic_score_gemma":0.00003727321,"domain_scores_codex":[0.9971498,0.0003860582,0.0008751242,0.0003873066,0.0008406466,0.0003610175],"domain_scores_gemma":[0.9968385,0.0001964643,0.001155543,0.0007507689,0.0007017283,0.0003570069],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0009383596,0.002569811,0.01673723,0.0009638874,0.003745563,0.00141336,0.05178633,0.03621913,0.002822244,0.2460354,0.3789254,0.2578433],"study_design_scores_gemma":[0.001932816,0.001099078,0.04785426,0.001309917,0.0002333358,0.0008854927,0.0003281171,0.02607545,0.001594376,0.9050057,0.01237866,0.00130277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7316429,0.0009727805,0.2439283,0.01632337,0.005688736,0.0003813682,0.00001941717,0.00006074543,0.0009823517],"genre_scores_gemma":[0.995376,0.00005569514,0.002408595,0.0007604135,0.001213019,0.000007050406,0.000002289705,0.00001171008,0.0001652069],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6589704,"threshold_uncertainty_score":0.7844443,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04827301547641893,"score_gpt":0.2961488694067869,"score_spread":0.247875853930368,"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."}}