{"id":"W2970190003","doi":"10.5802/jtnb.1127","title":"A transference principle for simultaneous rational approximation","year":2020,"lang":"en","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Measure (data warehouse); Sequence (biology); Irrationality; Boundary (topology); Integer (computer science); Diophantine approximation; Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis; Rationality; Computer science; Law","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003148081,0.0004036156,0.0005447362,0.0001582272,0.000180085,0.000235433,0.0005294809,0.0003306647,0.0000393509],"category_scores_gemma":[0.0005431386,0.0004070983,0.0003835651,0.0002088477,0.00007429107,0.0001849095,0.00009382766,0.001231644,0.000005673125],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008206349,"about_ca_system_score_gemma":0.0003188564,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005182103,"about_ca_topic_score_gemma":0.000009225828,"domain_scores_codex":[0.9981183,0.00006811788,0.0006687619,0.0003217491,0.0003172016,0.0005058454],"domain_scores_gemma":[0.998617,0.0003421572,0.0001736729,0.0002544261,0.0002948208,0.0003179527],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001737187,0.00007552005,0.0001245673,0.0009073635,0.0003853685,0.00008712283,0.0006270719,0.952774,0.009936106,0.005414836,0.0008535128,0.02864074],"study_design_scores_gemma":[0.0002593542,0.0001064701,0.0001085433,0.0001361676,0.0001461862,0.0001065741,0.00002677241,0.6721313,0.004555964,0.3137632,0.008246453,0.0004130095],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01613431,0.0006352239,0.9807047,0.0004723575,0.0001606086,0.0004782262,0.0001251281,0.0005764022,0.0007130622],"genre_scores_gemma":[0.7060344,0.000896182,0.2919456,0.0001255079,0.0005597649,0.0001832137,0.0001001642,0.00009054974,0.00006457781],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6899002,"threshold_uncertainty_score":0.9998381,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02003434726647443,"score_gpt":0.2945277029827765,"score_spread":0.2744933557163021,"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."}}