{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001974726,0.0006015113,0.001157497,0.001936053,0.002043802,0.004122163,0.001491235,0.000948788,0.003872833],"category_scores_gemma":[0.004268565,0.0004807651,0.001465705,0.001629105,0.005923082,0.007897206,0.006391133,0.003961544,0.00037181],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001900631,"about_ca_system_score_gemma":0.0005768479,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006970197,"about_ca_topic_score_gemma":0.0004017573,"domain_scores_codex":[0.9982399,0.0002113352,0.000137878,0.000417583,0.0006391372,0.0003541353],"domain_scores_gemma":[0.9967992,0.0003934383,0.0006022243,0.0009006639,0.0007306463,0.0005737129],"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":[0.00004178228,0.00002253506,0.00105447,0.00003952152,0.00002285786,0.000389108,0.0005604098,0.001187331,0.003613363,0.9899544,0.0001703016,0.002943947],"study_design_scores_gemma":[0.00004688138,0.0001511235,0.003326614,0.000058067,0.00004765941,0.001410963,0.0008958034,0.008765343,0.007590653,0.9688034,0.008848922,0.00005457751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7660704,0.0002775903,0.1808756,0.0006745564,0.000217701,0.00007682959,0.0002492006,0.0004142828,0.05114386],"genre_scores_gemma":[0.9889905,0.0001218402,0.007294041,0.0001103933,0.0000864192,0.00002186887,0.0001567562,0.0000630027,0.003155091],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004122163,"threshold_uncertainty_score":0.01379007,"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."}}