{"id":"W3195220682","doi":"10.3390/mca26030058","title":"Definite Integral Involving Rational Functions of Powers and Exponentials Expressed in Terms of the Lerch Function","year":2021,"lang":"en","type":"article","venue":"Mathematical and Computational Applications","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Exponential function; Exponential integral; Quotient; Function (biology); Class (philosophy); Pure mathematics; Positive-definite matrix; Elementary function; Special functions; Exponential type; Rational function; Algebra over a field; Mathematical analysis; Integral equation; Volume integral; Computer science; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00148008,0.0007669813,0.0008832815,0.002945576,0.00101114,0.002326698,0.001021787,0.0008331815,0.004943804],"category_scores_gemma":[0.004484304,0.0003024928,0.001099065,0.001475459,0.002288641,0.006008008,0.001112563,0.002566364,0.001583247],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009327395,"about_ca_system_score_gemma":0.0006148073,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004089045,"about_ca_topic_score_gemma":0.0005494904,"domain_scores_codex":[0.9992687,0.0001526614,0.00007868071,0.00009214864,0.0003165542,0.00009123432],"domain_scores_gemma":[0.9988249,0.0005227816,0.0001244967,0.0002207761,0.0002323527,0.00007470029],"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":[0.00001493994,0.000008404613,0.000122523,0.00009022826,0.000005477677,0.000187929,0.0001934767,0.0006953604,0.00122816,0.985179,0.00123432,0.01104015],"study_design_scores_gemma":[0.00000500136,0.00002409037,0.0003075911,0.00005565849,0.00001630383,0.0008485907,0.00009384658,0.01026019,0.003295858,0.9636914,0.02136683,0.0000346235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06712145,0.005036312,0.7722472,0.0006805564,0.001321455,0.00006345743,0.0002271612,0.0007686127,0.1525338],"genre_scores_gemma":[0.7409557,0.004837112,0.2198306,0.0006457684,0.0009525534,0.00006620754,0.0003732987,0.001150045,0.03118877],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004943804,"threshold_uncertainty_score":0.01653874,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03549091624145975,"score_gpt":0.2771657794394536,"score_spread":0.2416748631979938,"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."}}