{"id":"W4236385634","doi":"10.1145/990353.990371","title":"Polynomial transformations of Tschirnhaus, Bring and Jerrard","year":2003,"lang":"en","type":"article","venue":"ACM SIGSAM Bulletin","topic":"Mathematics and Applications","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Polynomial; Notation; Quintic function; Algebra over a field; Mathematics; Computer science; Pure mathematics; Arithmetic; Mathematical analysis; Physics; Nonlinear system","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":[0.001356298,0.0009025537,0.0006281892,0.00147214,0.001622069,0.001348983,0.0009374079,0.0005787412,0.009546279],"category_scores_gemma":[0.003457632,0.0004147346,0.001546332,0.001578672,0.002433168,0.002440375,0.002174655,0.004203615,0.003673031],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001040703,"about_ca_system_score_gemma":0.001173679,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001690926,"about_ca_topic_score_gemma":0.001947036,"domain_scores_codex":[0.9990782,0.0002136668,0.00004978001,0.0001406126,0.0003834967,0.0001342486],"domain_scores_gemma":[0.9993325,0.0001858649,0.00002830853,0.0001723077,0.0002283867,0.00005260263],"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":[0.00007296517,0.00005271733,0.00009795585,0.00008336374,0.00001257311,0.00007670582,0.0005877673,0.001476534,0.00432646,0.9415061,0.009469616,0.04223718],"study_design_scores_gemma":[0.00006267922,0.0001524034,0.0002626744,0.00005772649,0.00003835122,0.000262433,0.000144458,0.007430291,0.01761668,0.7666623,0.2072286,0.00008143862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02195735,0.003202111,0.8149762,0.003446343,0.002898831,0.0003055031,0.0003885435,0.001101264,0.1517239],"genre_scores_gemma":[0.2954862,0.004644908,0.5408393,0.001972112,0.00150601,0.0005840022,0.0006797178,0.001295456,0.1529923],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009546279,"threshold_uncertainty_score":0.03193551,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04543431326126657,"score_gpt":0.2968761369856246,"score_spread":0.251441823724358,"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."}}