{"id":"W1535419843","doi":"10.26686/ajl.v2i0.1768","title":"Limiting Cases for Spectrum Closure Results","year":2004,"lang":"en","type":"article","venue":"The Australasian Journal of Logic","topic":"semigroups and automata theory","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Spectrum (functional analysis); Closure (psychology); Mathematics; Class (philosophy); Image (mathematics); Function (biology); Limiting; Set (abstract data type); Sentence; Order (exchange); Pure mathematics; Spectral line; Combinatorics; Discrete mathematics; Computer science; Artificial intelligence; Physics; Quantum mechanics","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":[0.001067175,0.0001149479,0.0001796843,0.00007125881,0.0001617755,0.0001344412,0.001065595,0.00004392232,0.000004448689],"category_scores_gemma":[0.0002221408,0.00006679384,0.0001782422,0.0001867691,0.00006533256,0.0003196628,0.00006337009,0.0002210755,0.00001044284],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004094253,"about_ca_system_score_gemma":0.00008273326,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003340796,"about_ca_topic_score_gemma":0.000002650981,"domain_scores_codex":[0.9989116,0.00005973276,0.0004186062,0.0001323412,0.000192159,0.0002855827],"domain_scores_gemma":[0.998813,0.0003022177,0.0004241299,0.0003160011,0.00006330251,0.00008136388],"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":[0.0004248216,0.0003269646,0.000442979,0.00005573392,0.0001998832,0.002213347,0.004586854,0.01068049,0.003622483,0.9448714,0.00541281,0.02716219],"study_design_scores_gemma":[0.003823327,0.00280097,0.007836495,0.0003023618,0.00006869186,0.01395222,0.001127957,0.0004723006,0.01872809,0.947741,0.002774528,0.000372007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7036264,0.0005122544,0.2129801,0.0792723,0.001232235,0.0003201421,0.00001691714,0.0001157266,0.001923921],"genre_scores_gemma":[0.9794344,0.0000166856,0.01966842,0.0003420098,0.0004372533,0.000001136083,4.446729e-7,0.000006652296,0.0000930107],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.275808,"threshold_uncertainty_score":0.2723774,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03882682308431577,"score_gpt":0.2751550541640256,"score_spread":0.2363282310797099,"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."}}