{"id":"W3126865877","doi":"10.1007/s40096-020-00368-z","title":"Bi-additive $$\\sigma$$-random operator inequalities and random quasi-$$*$$-multipliers on MB-algebras","year":2021,"lang":"en","type":"article","venue":"Mathematical sciences","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sigma; Operator (biology); Pure mathematics; Banach space; Random compact set; Point (geometry); Inequality; Random variable; Discrete mathematics; Random element; Algebra over a field; Mathematical analysis; Statistics","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":[0.003429433,0.00146362,0.001384745,0.002890711,0.001676262,0.00423132,0.002201898,0.001749616,0.01509255],"category_scores_gemma":[0.007680558,0.0009487827,0.001396198,0.001379872,0.004240367,0.007968559,0.004174001,0.004249423,0.001202466],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001983596,"about_ca_system_score_gemma":0.001138611,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009872678,"about_ca_topic_score_gemma":0.001007328,"domain_scores_codex":[0.9982438,0.0006037647,0.000102483,0.0002549829,0.0005288268,0.0002661254],"domain_scores_gemma":[0.994419,0.002740117,0.0007522667,0.000371789,0.0008289167,0.0008878649],"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":[0.000007486099,0.000007489698,0.00004698706,0.00001433629,0.000006102132,0.00001160971,0.0000213924,0.0003264181,0.0002770726,0.9986134,0.0001946871,0.0004730627],"study_design_scores_gemma":[0.000008646812,0.00001311606,0.0001778001,0.00001139211,0.00000797103,0.00005538107,0.00003247025,0.01375069,0.0003652581,0.9847966,0.0007655626,0.00001501365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2361595,0.003325311,0.6362702,0.008324144,0.0007938882,0.0001178795,0.0006078466,0.0003499936,0.1140514],"genre_scores_gemma":[0.8994566,0.001671361,0.05079557,0.001752033,0.000997639,0.000231411,0.0003799427,0.0002396785,0.04447582],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01509255,"threshold_uncertainty_score":0.0504896,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07231340564479394,"score_gpt":0.3299599841114824,"score_spread":0.2576465784666884,"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."}}