{"id":"W2949373692","doi":"10.1215/00127094-2010-050","title":"The theorem of the complement for nested sub-Pfaffian sets","year":2010,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Complement (music); Closure (psychology); Nested set model; Set (abstract data type); Projection (relational algebra); Pfaffian","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":[0.001785866,0.0005300834,0.0009594557,0.001300669,0.001987257,0.003097196,0.0009381116,0.0008485896,0.005175552],"category_scores_gemma":[0.003454255,0.0004583341,0.00203143,0.0006317867,0.005379309,0.009784402,0.003514553,0.002661352,0.0007381113],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001844164,"about_ca_system_score_gemma":0.0009954101,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002542938,"about_ca_topic_score_gemma":0.001675127,"domain_scores_codex":[0.9984384,0.0002784895,0.00008120992,0.0005311913,0.0003957778,0.000274933],"domain_scores_gemma":[0.9978799,0.001145253,0.0001071523,0.0002809544,0.000401023,0.0001857585],"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":[0.00002994246,0.000007543808,0.0002306556,0.00004083951,0.000007556856,0.00005770554,0.0002955762,0.0003600874,0.0009320551,0.9940983,0.0005850588,0.003354587],"study_design_scores_gemma":[0.00002279271,0.00003115233,0.0004121226,0.0000260509,0.0000166854,0.0002520481,0.0001371162,0.004331542,0.001923084,0.9815414,0.01128627,0.00001978768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2804406,0.002594638,0.5488506,0.003696197,0.0004489484,0.000127106,0.001257772,0.0009298803,0.1616543],"genre_scores_gemma":[0.9100372,0.0007677958,0.0617625,0.0009192441,0.0004802182,0.0002467933,0.0008892735,0.0002461643,0.0246508],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005175552,"threshold_uncertainty_score":0.01731396,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03568120515333763,"score_gpt":0.3470619622620026,"score_spread":0.311380757108665,"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."}}