{"id":"W2067089189","doi":"10.1016/j.aml.2003.05.015","title":"A note on Laplace’s equation inside a cylinder","year":2005,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Experimental and Theoretical Physics Studies","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Laplace transform; Equivalence (formal languages); Mathematical analysis; Green's function for the three-variable Laplace equation; Cylinder; Laplace's equation; Fourier transform; Convergence (economics); Function (biology); Fourier series; Inverse Laplace transform; Geometry; Pure mathematics; Partial differential 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00006653341,0.0001643703,0.0001716437,0.00002879276,0.0001031788,0.00002890038,0.00009568733,0.00001903735,0.0001480842],"category_scores_gemma":[0.000002096611,0.0001384624,0.00006713636,0.00006413013,0.00007495516,0.00004247568,0.00005325205,0.0001198027,0.0007765713],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003178311,"about_ca_system_score_gemma":0.00000557038,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004097543,"about_ca_topic_score_gemma":3.411872e-7,"domain_scores_codex":[0.9992467,0.000005769655,0.000185765,0.0001738625,0.0001788203,0.0002090728],"domain_scores_gemma":[0.9995496,0.0001279003,0.00007331116,0.0001928815,0.0000100691,0.00004625525],"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":[0.00000901159,0.0002325807,0.000007878617,0.000008945212,0.00004110906,2.185092e-7,0.001455861,0.0002296385,0.03086079,0.9640167,0.000953052,0.002184222],"study_design_scores_gemma":[0.0008003357,0.00002729709,0.00001071084,0.00003237063,0.00003697652,2.481033e-7,0.0005711005,0.001876769,0.1014788,0.8937165,0.001101013,0.0003478822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1091892,0.00000566309,0.1109744,0.002806439,0.00005793753,0.0003398319,0.000008302171,0.00007243443,0.7765458],"genre_scores_gemma":[0.9841644,3.0063e-7,0.01340106,0.0018983,0.0003437727,0.00007937141,0.00001209802,0.00002296336,0.00007777631],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8749751,"threshold_uncertainty_score":0.9981512,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01282777131866504,"score_gpt":0.2456103443185338,"score_spread":0.2327825729998688,"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."}}