{"id":"W1992765863","doi":"10.1007/s00012-004-1900-2","title":"The saga of the High School Identities","year":2005,"lang":"en","type":"article","venue":"Algebra Universalis","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Variety (cybernetics); Exponentiation; Mathematics; Algebra over a field; Mathematics education; Arithmetic; Pure mathematics; Statistics; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.0001230796,0.00009710328,0.00009429325,0.00003723935,0.0003311045,0.00008090147,0.001646852,0.00003606248,0.00005252369],"category_scores_gemma":[0.00005925479,0.00005530824,0.00009029221,0.0003722514,0.0001919833,0.0006766479,0.0003917023,0.0001239651,0.00005971547],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005108199,"about_ca_system_score_gemma":0.00006871342,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006186048,"about_ca_topic_score_gemma":0.00009098602,"domain_scores_codex":[0.9991328,0.00006962317,0.0001484107,0.0001764618,0.0002568256,0.0002159357],"domain_scores_gemma":[0.998899,0.0001464238,0.0001122627,0.000722227,0.00006780664,0.00005232173],"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":[0.000002672399,0.00001231844,0.0003511601,0.000002021107,0.00001771917,0.000002207645,0.0002559227,0.0001372713,0.0002003959,0.9857417,0.004340004,0.008936641],"study_design_scores_gemma":[0.00169249,0.0001785521,0.05037675,0.00007903828,0.00007006948,0.00005221438,0.001739667,0.003591686,0.03972369,0.5897337,0.31196,0.0008020911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8222342,0.002087315,0.1049545,0.02999306,0.002174813,0.0005989672,0.00001525957,0.0004659445,0.03747589],"genre_scores_gemma":[0.9904509,0.0001123929,0.002243256,0.0005927918,0.00008942428,0.000002073825,5.236121e-7,0.000006111302,0.006502525],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.396008,"threshold_uncertainty_score":0.3060289,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006800735700056975,"score_gpt":0.1954282318240942,"score_spread":0.1886274961240372,"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."}}