{"id":"W4393248591","doi":"10.1090/conm/826/16577","title":"On the excellence for inseparable quartic extensions","year":2025,"lang":"lv","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Quartic function; Excellence; Mathematics; Business; Pure mathematics; Philosophy; Epistemology","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":["metaresearch","metaepi_narrow","sts","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","insufficient_payload"],"category_scores_codex":[0.004376642,0.002168998,0.003957673,0.000259874,0.00132978,0.0003835365,0.002535574,0.0009612404,0.00901263],"category_scores_gemma":[0.009344448,0.001511819,0.003008931,0.001603828,0.00339705,0.0001692453,0.0006942737,0.001870147,0.003521991],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003287228,"about_ca_system_score_gemma":0.001124159,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003866388,"about_ca_topic_score_gemma":0.000002543117,"domain_scores_codex":[0.9911727,0.0007036946,0.002976192,0.001799339,0.001569626,0.001778456],"domain_scores_gemma":[0.95503,0.03711572,0.002786805,0.003984379,0.0004979831,0.0005851064],"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":[0.00007349665,0.002197532,0.000002584323,0.005165292,0.001290816,0.000009052461,0.003096169,0.000003013883,0.00003663661,0.6178153,0.3699782,0.000331822],"study_design_scores_gemma":[0.001162742,0.0006660524,0.000002369527,0.00546123,0.001026997,0.00001945293,0.01372575,0.009252795,0.0001937495,0.938216,0.02866847,0.00160443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.003231878,0.001243568,0.3041136,0.009553093,0.0007489817,0.009588207,0.000719262,0.000782612,0.6700188],"genre_scores_gemma":[0.05885104,0.0004723755,0.1376107,0.006164334,0.0007869685,0.002869875,0.0001036381,0.00148263,0.7916585],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.3413098,"threshold_uncertainty_score":0.9999704,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04711171557421232,"score_gpt":0.3042180943856024,"score_spread":0.2571063788113901,"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."}}