{"id":"W4378647124","doi":"10.54097/hset.v49i.8527","title":"The Contour Integral Approach to Several Improper Integrals with Hyperbolic Functions","year":2023,"lang":"en","type":"article","venue":"Highlights in Science Engineering and Technology","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Residue theorem; Methods of contour integration; Cauchy's integral formula; Cauchy's integral theorem; Mathematics; Line integral; Cauchy distribution; Complex plane; Gravitational singularity; Residue (chemistry); Pure mathematics; Mathematical analysis; Cauchy problem; Initial value problem; Integral equation","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":[0.001161039,0.0007737314,0.0006629984,0.00225471,0.001210363,0.001994936,0.001123458,0.001173922,0.003667794],"category_scores_gemma":[0.002940455,0.0003106585,0.001142333,0.001143495,0.003036715,0.004382399,0.001514525,0.002554588,0.0004867504],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00116618,"about_ca_system_score_gemma":0.0007884604,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001056181,"about_ca_topic_score_gemma":0.0007402118,"domain_scores_codex":[0.9995958,0.0001301268,0.00002272166,0.00006403735,0.0001430199,0.00004429761],"domain_scores_gemma":[0.9995258,0.0001710849,0.00006085356,0.00006213669,0.0001202299,0.00005986842],"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":[0.000004068069,0.000006599633,0.00008194595,0.00001663452,0.000003047325,0.00008906821,0.00008698263,0.00209295,0.0005660136,0.9939359,0.0002181744,0.002898629],"study_design_scores_gemma":[0.000003980602,0.000009797162,0.0001065506,0.00001574054,0.000005823073,0.0001479674,0.00006313514,0.05123524,0.0004738,0.9447876,0.003141107,0.000009260501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06836595,0.002409287,0.8731127,0.001167062,0.0004365048,0.00004234787,0.00003995304,0.0001171202,0.05430904],"genre_scores_gemma":[0.7172621,0.003691107,0.2446672,0.0005109563,0.0007916352,0.00007316794,0.00007629784,0.0002994598,0.03262814],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003667794,"threshold_uncertainty_score":0.01227003,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01955669815418315,"score_gpt":0.2632129652231063,"score_spread":0.2436562670689232,"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."}}