{"id":"W3115993915","doi":"10.2298/aadm200424056c","title":"Some new properties of the Barnes G-function and related results","year":2020,"lang":"en","type":"article","venue":"Applicable Analysis and Discrete Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Monotonic function; Constant (computer programming); Fraction (chemistry); Applied mathematics; Function (biology); Representation (politics); Pure mathematics; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.000362463,0.0002022051,0.0006412662,0.00006745673,0.0001529115,0.00006551363,0.0001547275,0.0001020151,0.00007744889],"category_scores_gemma":[0.0005352853,0.0001150554,0.0002169379,0.0007073104,0.00013768,0.0001098806,0.0001678668,0.0001255537,0.000008157784],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006314994,"about_ca_system_score_gemma":0.00002210426,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005324313,"about_ca_topic_score_gemma":0.000009420433,"domain_scores_codex":[0.9984533,0.00004766264,0.000774725,0.0002906242,0.000257409,0.0001762559],"domain_scores_gemma":[0.9986914,0.0002815366,0.0003611339,0.0004519251,0.0000474066,0.0001666383],"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":[0.0001252208,0.0001874025,0.0004976556,0.001594746,0.002169215,6.816848e-7,0.005268086,0.00006962215,0.01223686,0.9726874,0.004142767,0.001020396],"study_design_scores_gemma":[0.001075814,0.0001392358,0.0003723458,0.0001687319,0.005763777,0.000006739872,0.001666712,0.03181262,0.0082811,0.9490293,0.001285065,0.0003985089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9423675,0.001818729,0.03834394,0.008490154,0.00007233288,0.001356845,0.00006392064,0.0001867544,0.007299813],"genre_scores_gemma":[0.9918774,0.0001211956,0.00604517,0.0001574414,0.00008368323,0.00002067069,0.000003980886,0.0000240981,0.001666376],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04950988,"threshold_uncertainty_score":0.4691824,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03832613368023224,"score_gpt":0.2489378178841394,"score_spread":0.2106116842039072,"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."}}