{"id":"W2988041163","doi":"10.3390/axioms8040122","title":"A Versatile Integral in Physics and Astronomy and Fox’s H-Function","year":2019,"lang":"en","type":"article","venue":"Axioms","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Statistical mechanics; Statistical physics; Inverse Gaussian distribution; Physics; Gaussian; Type (biology); Mathematics; Distribution (mathematics); Function (biology); Mathematical physics; Mathematical analysis; Quantum mechanics; Geology","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002316105,0.0004806638,0.0005701106,0.002021438,0.001131424,0.00170951,0.0007284363,0.00113521,0.002641681],"category_scores_gemma":[0.004535998,0.0001955272,0.0007237121,0.001089406,0.005316816,0.007599138,0.00145302,0.001531338,0.0003084986],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00108315,"about_ca_system_score_gemma":0.0007524882,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00146424,"about_ca_topic_score_gemma":0.0004751699,"domain_scores_codex":[0.999414,0.0001654341,0.0000280744,0.0001165338,0.0002006558,0.00007533804],"domain_scores_gemma":[0.9985554,0.0008771307,0.0001202493,0.0001583664,0.0001663663,0.0001225314],"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":[0.000001690354,0.000001476957,0.00005855296,0.000005489047,0.000001353609,0.00001748209,0.00003100757,0.0002924815,0.00009083748,0.9981582,0.0001798882,0.001161671],"study_design_scores_gemma":[0.000001483892,0.000004338509,0.00009080517,0.00000451384,0.00000125925,0.00005269537,0.000016946,0.002994237,0.00008389284,0.9952324,0.001512966,0.000004388663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2345254,0.01148641,0.6069211,0.008995797,0.0009604011,0.00003773305,0.0002634822,0.0003396304,0.1364701],"genre_scores_gemma":[0.9381087,0.003226237,0.0419583,0.0007815522,0.00101972,0.00002766031,0.00007820503,0.00009210199,0.01470753],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002641681,"threshold_uncertainty_score":0.01224887,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005198070545632108,"score_gpt":0.2061746700451878,"score_spread":0.2009765994995557,"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."}}