{"id":"W2130184139","doi":"10.1016/j.aim.2011.03.002","title":"Zariski closures of reductive linear differential algebraic groups","year":2011,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":26,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Differential algebraic geometry; Differential (mechanical device); Differential Galois theory; Pure mathematics; Dimension (graph theory); Algebra over a field; Galois group; Algebraic number; Factoring; Algebraic group; Linear algebraic group; Galois cohomology; Differential algebraic equation; Differential equation; Mathematical analysis; 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":[0.0009763968,0.0007480458,0.00105984,0.002612513,0.002707698,0.003964372,0.00101654,0.0006892511,0.005483397],"category_scores_gemma":[0.001985958,0.000655568,0.0007033424,0.001143663,0.004118008,0.006098892,0.002718131,0.002691136,0.0006414342],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001763248,"about_ca_system_score_gemma":0.000651979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008571086,"about_ca_topic_score_gemma":0.000775268,"domain_scores_codex":[0.9991605,0.0001174762,0.00005335924,0.0001706138,0.0002805966,0.0002173944],"domain_scores_gemma":[0.9984933,0.0005197361,0.0002816021,0.0001095289,0.0001949048,0.0004009478],"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":[0.00007916136,0.0000362227,0.0003820335,0.00002794065,0.000008566214,0.0001361049,0.000815547,0.000430492,0.001150464,0.9937294,0.0004323198,0.002771765],"study_design_scores_gemma":[0.00005420707,0.00003632601,0.0005718404,0.00001722177,0.00001277006,0.0001938164,0.0004927154,0.002113964,0.001093787,0.9914086,0.003988965,0.00001572416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8529311,0.001102572,0.06685485,0.001723798,0.0001766877,0.00008677948,0.0006290045,0.0003347222,0.07616048],"genre_scores_gemma":[0.9778574,0.0004214028,0.007150418,0.0001144121,0.0001887484,0.00005169256,0.0004902466,0.00004944304,0.01367629],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005483397,"threshold_uncertainty_score":0.01834375,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01864445259959629,"score_gpt":0.2589702573119149,"score_spread":0.2403258047123186,"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."}}