{"id":"W3174169488","doi":"10.4134/bkms.b200023","title":"Invariant mean value property and $\\mathcal M$-harmonicity on the half-space","year":2021,"lang":"en","type":"article","venue":"Bulletin of the Korean Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Invariant (physics); Property (philosophy); Pure mathematics; Mathematical analysis; Discrete mathematics; Mathematical physics","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":[0.0006376609,0.0004264873,0.0006512083,0.002140494,0.001293985,0.00243905,0.001101399,0.00101079,0.006569345],"category_scores_gemma":[0.001984836,0.000237945,0.0007990969,0.0007419802,0.002217942,0.003053505,0.001688152,0.001852832,0.0004837536],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001052713,"about_ca_system_score_gemma":0.000677052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008281833,"about_ca_topic_score_gemma":0.0004082215,"domain_scores_codex":[0.9996096,0.00006130277,0.00001634222,0.0001181781,0.0001008819,0.00009365036],"domain_scores_gemma":[0.9989823,0.0002631962,0.0001660566,0.00009246336,0.0002717637,0.0002242889],"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":[0.00002372172,0.00001762321,0.000406712,0.00002500218,0.00001206435,0.00009762722,0.0001100888,0.0005248506,0.002113755,0.9917098,0.0007046281,0.004254169],"study_design_scores_gemma":[0.00001203534,0.00003540245,0.002054007,0.000009112813,0.0000105928,0.0002785755,0.000146153,0.01483093,0.0009228515,0.9792305,0.002442859,0.00002715223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.7393267,0.001735794,0.1468876,0.004168339,0.0006316716,0.00004478357,0.0004373624,0.0001674702,0.1066003],"genre_scores_gemma":[0.9766926,0.0005661367,0.006524566,0.0003029681,0.0004818294,0.00003058749,0.0002247928,0.0000664044,0.01511015],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.006569345,"threshold_uncertainty_score":0.02197671,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03870284063403166,"score_gpt":0.2526160505297026,"score_spread":0.2139132098956709,"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."}}