{"id":"W3101866887","doi":"10.3934/math.2021082","title":"Definite integral of the logarithm hyperbolic secant function in terms of the Hurwitz zeta function","year":2020,"lang":"en","type":"article","venue":"AIMS Mathematics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Logarithm; Pure mathematics; Hyperbolic function; Function (biology); Mathematical analysis; Positive-definite matrix; Gamma function; Mathematical physics; Physics; Quantum mechanics","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":[0.001194343,0.0009128659,0.0005502436,0.002046339,0.000515499,0.00218638,0.0009043727,0.0004356723,0.006301282],"category_scores_gemma":[0.003026275,0.000204735,0.0004311771,0.0008622922,0.001759278,0.002725815,0.001017105,0.001047104,0.001136773],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00112946,"about_ca_system_score_gemma":0.0005734294,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007287269,"about_ca_topic_score_gemma":0.0009274199,"domain_scores_codex":[0.999676,0.0001101384,0.00001319647,0.00002734729,0.0001375286,0.00003574932],"domain_scores_gemma":[0.9993035,0.0002466967,0.00008295433,0.00008336013,0.0001427074,0.0001407916],"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":[0.00003303272,0.00002236291,0.0002819274,0.00006423458,0.00001484335,0.0001527648,0.0002026984,0.005769708,0.002165956,0.9843805,0.00120137,0.005710567],"study_design_scores_gemma":[0.00001785923,0.00004773646,0.000930035,0.00006655356,0.00002237649,0.0003119417,0.0001172437,0.1657007,0.003803267,0.8221359,0.006806952,0.00003949642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3685674,0.003230273,0.422606,0.001481514,0.0009870946,0.00008354067,0.0002246249,0.00102734,0.2017922],"genre_scores_gemma":[0.9230272,0.001416927,0.03656945,0.0002380585,0.0004695979,0.00005490132,0.0001744557,0.000490133,0.03755919],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006301282,"threshold_uncertainty_score":0.0210799,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05546026629575179,"score_gpt":0.2645638059315596,"score_spread":0.2091035396358079,"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."}}