{"id":"W2049423006","doi":"10.1080/10586458.2001.10504668","title":"On the Inhomogeneous Hall's Ray of Period-One Quadratics","year":2001,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Northern British Columbia","funders":"","keywords":"Mathematics; Period (music); Spectrum (functional analysis); Fraction (chemistry); Period length; Mathematical analysis; Quantum mechanics; Physics; Discrete mathematics","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005979498,0.0003735328,0.0006568645,0.0000866462,0.0001875297,0.00007285793,0.0005562839,0.0001464317,0.002040715],"category_scores_gemma":[0.0008212705,0.0002525697,0.0002535594,0.0002483002,0.0002563706,0.00007374048,0.000169484,0.0002403312,0.0001690099],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007819521,"about_ca_system_score_gemma":0.00003276203,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005520253,"about_ca_topic_score_gemma":0.000003158949,"domain_scores_codex":[0.997507,0.00008581002,0.0009510798,0.0002775799,0.0007705468,0.0004079474],"domain_scores_gemma":[0.9968178,0.001507707,0.0004476532,0.001001702,0.0000921946,0.0001329704],"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":[0.00002596387,0.002558595,0.000006505378,0.0001771045,0.00009774294,0.00002071501,0.004605895,0.0000113585,0.01791415,0.9736086,0.0008625073,0.0001108451],"study_design_scores_gemma":[0.0005989239,0.0004545582,0.000008893781,0.0003524993,0.00007252519,0.0001063413,0.004727664,0.01553001,0.03931621,0.9381201,0.0002365186,0.0004757098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9123377,0.0001776495,0.01963736,0.0005941465,0.000156228,0.0009577619,0.00002140134,0.0001226058,0.06599514],"genre_scores_gemma":[0.9515403,0.00002148683,0.04665805,0.0001711964,0.00007149501,0.00009095949,0.000004287328,0.00008454733,0.0013577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06463744,"threshold_uncertainty_score":0.9999927,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06108831626702921,"score_gpt":0.3181580531215344,"score_spread":0.2570697368545052,"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."}}