{"id":"W174061112","doi":"","title":"Some 3x3 transformation formulas related to Bailey's 2x2.","year":2006,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Transformation (genetics); Mathematical economics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002670955,0.0002204017,0.0003287838,0.0001372037,0.0001398883,0.00006698129,0.0002376111,0.0001318602,0.0001076712],"category_scores_gemma":[0.0002573036,0.0002154185,0.0001005517,0.0003573951,0.00003773432,0.0007285987,0.00005342099,0.0001783214,0.0006136511],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001362788,"about_ca_system_score_gemma":0.0000255255,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002221134,"about_ca_topic_score_gemma":0.00001694682,"domain_scores_codex":[0.9983451,0.00003725891,0.0006110252,0.0002189385,0.0003997642,0.0003878865],"domain_scores_gemma":[0.9989349,0.0003096421,0.000119711,0.0003916337,0.0001367019,0.0001073904],"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":[0.000008939568,0.0001528964,0.00001699864,0.0001131288,0.00001603519,0.000004961242,0.0006594515,0.00002475962,0.0006185293,0.9919021,0.006398605,0.00008356923],"study_design_scores_gemma":[0.0007930775,0.00006128549,0.0001030608,0.00008115554,0.00003466005,0.000008432649,0.0001493846,0.0002145282,0.005455631,0.9912781,0.001558843,0.0002618393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9595166,0.00008741148,0.001361713,0.001111142,0.001156583,0.0008593492,0.00001118921,0.0005826363,0.03531333],"genre_scores_gemma":[0.989014,0.000007333607,0.005226391,0.0001075575,0.00002073402,0.00008372092,0.00001833445,0.00006511997,0.005456802],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02985653,"threshold_uncertainty_score":0.8784512,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01580810059294447,"score_gpt":0.2821994928779334,"score_spread":0.2663913922849889,"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."}}