{"id":"W3172543018","doi":"10.29020/nybg.ejpam.v14i4.4022","title":"Double Integral of Logarithm and Exponential Function Expressed in terms of the Lerch Function","year":2021,"lang":"en","type":"preprint","venue":"European Journal of Pure and Applied Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Logarithm; Bessel function; Exponential integral; Function (biology); Riemann integral; Improper integral; Multiple integral; Mathematical analysis; Exponential function; Fubini's theorem; Volume integral; Pure mathematics; Calculus (dental); Integral equation; Fourier integral operator","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":[0.0007297394,0.0009366888,0.0009487211,0.002812701,0.0008520891,0.002023547,0.001002405,0.0008454294,0.006947979],"category_scores_gemma":[0.002519276,0.0002344638,0.001042425,0.00108988,0.001432884,0.004434481,0.001362349,0.002276463,0.001868208],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008802532,"about_ca_system_score_gemma":0.000536507,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002993174,"about_ca_topic_score_gemma":0.0003228416,"domain_scores_codex":[0.9995669,0.00009019126,0.00003247582,0.00007561663,0.0001738936,0.0000608924],"domain_scores_gemma":[0.9995108,0.0001492278,0.00004737256,0.00009261777,0.0001328411,0.00006714377],"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":[0.0000507121,0.00002955349,0.000321504,0.0001480404,0.00001564294,0.0005150237,0.000242671,0.003577574,0.006658486,0.9666681,0.001623175,0.02014961],"study_design_scores_gemma":[0.00001906742,0.00005899338,0.0008063235,0.00008497348,0.00003631002,0.001780065,0.0001389709,0.06222978,0.01121593,0.9003263,0.02324046,0.00006291466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1090022,0.003654535,0.791095,0.0006434316,0.001218567,0.00005789402,0.0001699496,0.000867415,0.09329099],"genre_scores_gemma":[0.734293,0.003663761,0.2122237,0.0004556709,0.0010326,0.0001161787,0.0003066096,0.00132707,0.04658154],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.006947979,"threshold_uncertainty_score":0.02324325,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04762588205628494,"score_gpt":0.2645097403709416,"score_spread":0.2168838583146567,"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."}}