{"id":"W1984556687","doi":"10.1016/j.jpaa.2011.10.026","title":"Extended real functions in pointfree topology","year":2011,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Frame (networking); Real analysis; Topology (electrical circuits); Pure mathematics; Algebra over a field; Function (biology); Real line; Real-valued function; Class (philosophy); Discrete mathematics; Combinatorics; Computer science; Artificial intelligence","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":[0.0003918926,0.000137745,0.0003489243,0.0001859224,0.00005976964,0.00001805444,0.0001514833,0.0001130589,0.0002765463],"category_scores_gemma":[0.00004764807,0.0001084811,0.00008150254,0.000113304,0.00008272313,0.0001110896,0.00004483635,0.000330725,0.00001296372],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002253011,"about_ca_system_score_gemma":0.00004165074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001212283,"about_ca_topic_score_gemma":0.00007520554,"domain_scores_codex":[0.9989635,0.00002863564,0.0004971629,0.0001382009,0.0001508068,0.0002216323],"domain_scores_gemma":[0.9993069,0.00009120612,0.0002856498,0.000160548,0.00004801454,0.000107652],"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":[0.0001981426,0.0004321398,0.002149837,0.0000563959,0.00009813312,0.00009118491,0.002826645,4.611354e-7,0.002888331,0.9744226,0.00669119,0.01014494],"study_design_scores_gemma":[0.001126794,0.0001985983,0.02447775,0.00003679675,0.00006746565,0.0002599887,0.001814732,0.000002999994,0.002290891,0.9688647,0.0006944731,0.0001648073],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9635944,0.0001349863,0.0008139103,0.0002015967,0.0002141028,0.0000959056,0.000001646908,0.00001795655,0.03492552],"genre_scores_gemma":[0.9940397,0.0001089706,0.005050125,0.000130453,0.0003286218,0.000004502817,6.419751e-7,0.00001859085,0.000318406],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03460712,"threshold_uncertainty_score":0.4423729,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03482471261357761,"score_gpt":0.2635208693077827,"score_spread":0.2286961566942051,"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."}}