{"id":"W2050054040","doi":"10.1016/j.aml.2007.10.028","title":"A class of logarithmically completely monotonic functions","year":2008,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria; University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monotonic function; Class (philosophy); Extension (predicate logic); Object (grammar); Work (physics); Pure mathematics; Applied mathematics; Mathematical analysis; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003085528,0.0002946754,0.0006596053,0.0001211654,0.0002144045,0.0000180796,0.0004129805,0.0001130815,0.0003485712],"category_scores_gemma":[0.0001500685,0.0002626448,0.0002115562,0.0003098311,0.0003731439,0.00005324681,0.0001239806,0.0002462068,0.0002036933],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005079046,"about_ca_system_score_gemma":0.00004025717,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007879965,"about_ca_topic_score_gemma":0.000003092056,"domain_scores_codex":[0.9977872,0.00002104118,0.000999512,0.0003123806,0.0004739045,0.0004059948],"domain_scores_gemma":[0.9971957,0.00129201,0.000415488,0.0008738739,0.00008837942,0.0001345316],"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":[0.000007837045,0.0005432572,0.000005612467,0.0004521899,0.00008952402,0.000003658396,0.001238252,0.00001737705,0.03452424,0.9375,0.02550787,0.0001101946],"study_design_scores_gemma":[0.00175567,0.0001063476,0.00009021399,0.0001808581,0.0003281357,0.0001965517,0.00183853,0.005269826,0.01311966,0.9645564,0.01142834,0.001129488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4464872,0.00001280922,0.483839,0.001831715,0.00006308716,0.001072882,0.00006173905,0.0003164361,0.06631514],"genre_scores_gemma":[0.6248168,0.00001241999,0.3730654,0.0008040866,0.00009336291,0.0003693447,0.00001844879,0.00008573962,0.0007343478],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.1783297,"threshold_uncertainty_score":0.9999826,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09517996716025881,"score_gpt":0.2888673345771584,"score_spread":0.1936873674168996,"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."}}