{"id":"W2060032657","doi":"10.1090/s0002-9939-07-08875-2","title":"On a conjecture of Broughan","year":2007,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Université de Montréal; Centre de Recherches Mathématiques","keywords":"Conjecture; Mathematics; Combinatorics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.0002400978,0.0001166342,0.0003113054,0.00000866962,0.00007143871,0.000008084781,0.000287318,0.00001799302,0.00009086],"category_scores_gemma":[0.00005678951,0.000071061,0.000306137,0.000349973,0.0005969122,0.00003613735,0.00009227011,0.0001398532,0.000005850577],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001228388,"about_ca_system_score_gemma":0.000008374156,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004264506,"about_ca_topic_score_gemma":2.191609e-8,"domain_scores_codex":[0.9991503,0.000001946259,0.000308398,0.0001301192,0.0002153527,0.0001938493],"domain_scores_gemma":[0.9989379,0.0003272114,0.0004425448,0.0001364032,0.0001006747,0.00005527542],"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":[0.0000102774,0.0001802529,0.0003086591,0.00006826642,0.00004251173,5.170147e-9,0.0004417002,0.000001834612,0.006451995,0.9906476,0.0004157116,0.001431147],"study_design_scores_gemma":[0.000120453,0.00005946064,0.0002430968,0.00006368896,0.00002981661,4.742204e-7,0.002304332,0.00009199361,0.04253873,0.9542301,0.0002351909,0.00008267526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8548414,0.000004011903,0.07849617,0.0004605931,0.00001229704,0.0003068167,0.00001635942,0.00002460366,0.06583773],"genre_scores_gemma":[0.9718179,6.649811e-7,0.02780925,0.00009600326,0.00004810572,0.00001245038,3.482951e-7,0.00001357523,0.0002016664],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1169765,"threshold_uncertainty_score":0.2897784,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0060535943122672,"score_gpt":0.2666890161855575,"score_spread":0.2606354218732903,"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."}}