{"id":"W2038182478","doi":"10.1017/s0305004113000558","title":"Some reductions of the spectral set conjecture to integers","year":2013,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Conjecture; Bounded function; Set (abstract data type); Property (philosophy); Dimension (graph theory); Beal's conjecture","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":[0.001699157,0.0004350127,0.0007433054,0.001470272,0.002186472,0.003740779,0.0009629692,0.001632521,0.00670899],"category_scores_gemma":[0.007446709,0.000328624,0.001038455,0.001134695,0.005416738,0.004619279,0.003074611,0.001975702,0.0004670535],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001829994,"about_ca_system_score_gemma":0.0004499669,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001290685,"about_ca_topic_score_gemma":0.0007665473,"domain_scores_codex":[0.9984732,0.0004000487,0.00008927323,0.0003286423,0.0004599768,0.0002488888],"domain_scores_gemma":[0.9972463,0.001815502,0.0002679664,0.0002952799,0.0001991498,0.0001758423],"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":[0.00002396203,0.0000107994,0.0001932,0.000016142,0.00000295085,0.00007663567,0.0001661823,0.001243861,0.0002691285,0.9954691,0.001046635,0.001481428],"study_design_scores_gemma":[0.00001496502,0.0000120888,0.0001321773,0.00001637976,0.00000398299,0.00006889046,0.0001304567,0.005954427,0.0003710129,0.990411,0.002876072,0.000008633159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6549489,0.001749303,0.1439102,0.00756441,0.0008802292,0.0000578996,0.0002839475,0.0003546983,0.1902504],"genre_scores_gemma":[0.9879347,0.0002543972,0.006751101,0.0004154412,0.0003639908,0.00003571053,0.0001307364,0.0000347514,0.004079058],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00670899,"threshold_uncertainty_score":0.02244377,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04550852808837429,"score_gpt":0.3032799253875487,"score_spread":0.2577713972991744,"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."}}