{"id":"W2981488258","doi":"","title":"A new exponent of simultaneous rational approximation","year":2018,"lang":"","type":"article","venue":"arXiv (Cornell University)","topic":"Digital Filter Design and Implementation","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University; University of Ottawa","funders":"","keywords":"Exponent; Mathematics; Lambda; Complement (music); Combinatorics; Discrete mathematics; Quantum mechanics; Physics","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"],"consensus_categories":[],"category_scores_codex":[0.0001642647,0.0002127335,0.0002048764,0.0002318331,0.0001573188,0.0001516255,0.0007138544,0.00008241451,0.0004399499],"category_scores_gemma":[0.00004703464,0.0002599107,0.0001211647,0.001029193,0.0001697603,0.001722884,0.0002511486,0.00008113092,0.000321658],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001333378,"about_ca_system_score_gemma":0.0003356871,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001012473,"about_ca_topic_score_gemma":0.00002526046,"domain_scores_codex":[0.9984178,0.0001014909,0.0003524893,0.0006336544,0.000178879,0.0003156941],"domain_scores_gemma":[0.998416,0.0001397508,0.0003310665,0.0005142906,0.0003868062,0.0002121053],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003739868,0.0004186632,0.0007467919,0.0000745517,0.000157007,0.00009479473,0.003491079,0.01591764,0.006904072,0.8674947,0.002974271,0.1013524],"study_design_scores_gemma":[0.001250237,0.0008281146,0.0003598189,0.00005145,0.00004795473,0.000007692691,0.000173127,0.9604893,0.01319018,0.02224191,0.001048152,0.0003120954],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1060567,0.00001435201,0.8883412,0.00007648034,0.0004315923,0.0002865902,0.00001409502,0.00004806808,0.004730909],"genre_scores_gemma":[0.9869286,0.00001722748,0.00758369,0.00009180529,0.0001705379,1.933773e-7,0.00001728291,0.00001027538,0.005180327],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9445716,"threshold_uncertainty_score":0.9999853,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08405041307991681,"score_gpt":0.2013844189198117,"score_spread":0.1173340058398949,"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."}}