{"id":"W2739779934","doi":"10.1515/math-2017-0100","title":"An extension of the method of brackets. Part 1","year":2017,"lang":"en","type":"preprint","venue":"Open Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"Tulane University","keywords":"Extension (predicate logic); Variety (cybernetics); Mathematics; Heuristic; Meromorphic function; Class (philosophy); Series (stratigraphy); Table (database); Pure mathematics; Null (SQL); Line (geometry); Algebra over a field; Computer science; Geometry; Artificial intelligence; Mathematical optimization","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":[0.004028371,0.0004409897,0.001753782,0.00008282789,0.0002388975,0.0002206288,0.003852798,0.0004755096,0.00108753],"category_scores_gemma":[0.003323702,0.0002797674,0.0004768336,0.00009799073,0.0002410347,0.0001645038,0.00341786,0.0005454388,0.00002279249],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003399433,"about_ca_system_score_gemma":0.000295984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008616565,"about_ca_topic_score_gemma":0.00003169247,"domain_scores_codex":[0.9965329,0.0003908699,0.00166985,0.0004867344,0.0006353605,0.0002843238],"domain_scores_gemma":[0.9886515,0.001562281,0.003245429,0.005995567,0.0004244935,0.0001207646],"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":[0.00006040018,0.003699678,0.00007457454,0.01437817,0.000592254,0.000004083748,0.00528681,0.0001081287,0.004627633,0.9225183,0.04053551,0.008114428],"study_design_scores_gemma":[0.0002911217,0.00007121862,0.00004651953,0.002962148,0.0005331952,0.00001903499,0.00027521,0.003939952,0.01523991,0.9742732,0.00200806,0.0003404036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2042912,0.0004209886,0.4033901,0.002139951,0.006039149,0.01675077,0.001973858,0.0002514812,0.3647425],"genre_scores_gemma":[0.03730895,0.0000629157,0.9539233,0.00005455006,0.0002096673,0.0001588707,0.00002294776,0.0001479971,0.008110788],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5505332,"threshold_uncertainty_score":0.9999654,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2106442529345022,"score_gpt":0.451345876042851,"score_spread":0.2407016231083488,"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."}}