{"id":"W2887237514","doi":"10.1007/s00013-019-01299-5","title":"Hermite’s theorem via Galois cohomology","year":2019,"lang":"en","type":"preprint","venue":"Archiv der Mathematik","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Galois cohomology; Generic polynomial; Cohomology; Hermite polynomials; Pure mathematics; Extension (predicate logic); Fundamental theorem of Galois theory; Galois module; Galois extension; Galois group; Discrete mathematics; Degree (music); Element (criminal law); Polynomial; Field (mathematics); Algebra over a field; Mathematical analysis; Physics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001043056,0.0007389967,0.0008281139,0.002002274,0.001184719,0.002723762,0.0006503078,0.001091173,0.008583558],"category_scores_gemma":[0.001871263,0.0003157712,0.0006598982,0.001293135,0.002660051,0.005205295,0.002193148,0.003407237,0.000980464],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001313821,"about_ca_system_score_gemma":0.000468747,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007309786,"about_ca_topic_score_gemma":0.0004844929,"domain_scores_codex":[0.9994158,0.000157576,0.00001948982,0.0001219498,0.0001960162,0.00008920951],"domain_scores_gemma":[0.9995048,0.000216487,0.00004757103,0.00006761013,0.00008930029,0.00007430642],"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":[0.00001274512,0.00001462427,0.00009848808,0.00001959481,0.000006646231,0.00002492469,0.0001049377,0.0001770315,0.000251153,0.9945053,0.00136103,0.00342354],"study_design_scores_gemma":[0.00001208832,0.000006855369,0.0002515706,0.00000478821,0.000006952377,0.00006715044,0.00002982902,0.00102335,0.000216118,0.9915423,0.006832294,0.000006718275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.277438,0.006714946,0.1758695,0.02255514,0.002487013,0.00007453817,0.0009517875,0.0005572378,0.5133518],"genre_scores_gemma":[0.9139619,0.002263338,0.01624775,0.001360279,0.002203178,0.00007548196,0.0002512914,0.0001422705,0.06349446],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.008583558,"threshold_uncertainty_score":0.02871484,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03300249616697188,"score_gpt":0.2953566632361272,"score_spread":0.2623541670691553,"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."}}