{"id":"W2002840473","doi":"10.1139/p05-025","title":"Principal-value integrals Revisited","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Particle physics theoretical and experimental studies","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Physics; Limit (mathematics); Path integral formulation; Principal value; Volume integral; Simple (philosophy); Complex plane; Multiple integral; Expression (computer science); Order (exchange); Plane (geometry); Principal (computer security); Line integral; Value (mathematics); Mathematical analysis; Integral equation; Quantum mechanics; Geometry; Mathematics; Statistics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002543762,0.0008060733,0.001011777,0.002278175,0.002207006,0.004159438,0.002079355,0.001970356,0.007413929],"category_scores_gemma":[0.009077224,0.0004222282,0.001109929,0.001719795,0.005947473,0.009686341,0.002112231,0.004291885,0.001332745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001893235,"about_ca_system_score_gemma":0.001031971,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008761912,"about_ca_topic_score_gemma":0.000505195,"domain_scores_codex":[0.9983616,0.0004398588,0.00006543444,0.0002195697,0.0007433367,0.0001701008],"domain_scores_gemma":[0.9976268,0.001118179,0.0002146038,0.0004080828,0.0004611637,0.0001711132],"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":[0.000001388791,0.000002414713,0.00003197915,0.000008383236,0.000001002777,0.00002047056,0.00003727619,0.0002299718,0.00005797898,0.9982404,0.0003333706,0.001035452],"study_design_scores_gemma":[0.000001685391,0.000002709168,0.00005049178,0.000009835916,0.000001382809,0.00008890642,0.00001858692,0.003124344,0.00008541067,0.9944068,0.002205905,0.00000382173],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0848349,0.01456049,0.4514142,0.01056089,0.001270853,0.0000670903,0.000164723,0.0006557726,0.4364711],"genre_scores_gemma":[0.9037532,0.005141519,0.0519204,0.001281103,0.002437218,0.00007756424,0.000089743,0.0005104162,0.03478892],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007413929,"threshold_uncertainty_score":0.02480203,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01429724504318371,"score_gpt":0.260217918652224,"score_spread":0.2459206736090403,"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."}}