{"id":"W4238689870","doi":"10.4153/cmb-2003-001-2","title":"Condensed Domains","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Noetherian; Domain (mathematical analysis); Integral domain; Generator (circuit theory); Degree (music); Closure (psychology); Field (mathematics); Combinatorics; Pure mathematics; Mathematical analysis; Physics; Quantum mechanics; Algebra over a field","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005730016,0.0002176768,0.0003876411,0.0008832024,0.0007836004,0.001551942,0.000419143,0.0002469645,0.006549582],"category_scores_gemma":[0.001328205,0.0001970623,0.0003758896,0.0006639856,0.002033906,0.003709663,0.003137441,0.0008421655,0.0006657286],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007269114,"about_ca_system_score_gemma":0.0003623471,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002827721,"about_ca_topic_score_gemma":0.0003014837,"domain_scores_codex":[0.9995116,0.00008640956,0.00004105634,0.0001268063,0.0001317164,0.0001024573],"domain_scores_gemma":[0.9989873,0.0002162309,0.0001401302,0.0002433699,0.0002381159,0.0001749415],"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":[0.0001170989,0.00003949445,0.001757596,0.0001332715,0.00002260496,0.0002726048,0.001051582,0.001671797,0.01062217,0.9682472,0.001144544,0.01492004],"study_design_scores_gemma":[0.00007381397,0.0002187242,0.004340517,0.0001127267,0.00005459024,0.001483105,0.002260499,0.009244301,0.02484956,0.8352264,0.1220917,0.00004392909],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.721305,0.001213487,0.1812616,0.0007950502,0.000199747,0.0001809242,0.0009536367,0.000302011,0.09378865],"genre_scores_gemma":[0.9598119,0.000463791,0.02090061,0.000137238,0.0001213255,0.00006989321,0.0008869119,0.00004441992,0.01756397],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006549582,"threshold_uncertainty_score":0.02191061,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03622342063739476,"score_gpt":0.2874324490218392,"score_spread":0.2512090283844444,"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."}}