{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006978875,0.0008639807,0.001431069,0.003109667,0.003520234,0.006892249,0.001679716,0.002672426,0.01188693],"category_scores_gemma":[0.02881134,0.000706059,0.002672972,0.001513849,0.008030593,0.01906131,0.007923415,0.005799117,0.00139108],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002505419,"about_ca_system_score_gemma":0.0006527441,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007351976,"about_ca_topic_score_gemma":0.000294439,"domain_scores_codex":[0.9936727,0.001543278,0.0004609437,0.001756251,0.001581322,0.0009854129],"domain_scores_gemma":[0.9709472,0.0215855,0.001388283,0.002447871,0.001750156,0.001881006],"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":[0.00005758309,0.00004322336,0.0006952458,0.00005581028,0.00001484701,0.0003603037,0.0007257683,0.0004263302,0.000773416,0.9920627,0.0009389547,0.003845768],"study_design_scores_gemma":[0.00002615519,0.00001787583,0.000219972,0.00003385362,0.00001126179,0.0003573441,0.0002548702,0.003764629,0.0007203846,0.9916402,0.002938435,0.0000149915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3289974,0.004263514,0.4637,0.009926615,0.0004585759,0.0002330912,0.0007915514,0.001504575,0.1901246],"genre_scores_gemma":[0.965562,0.001062707,0.02291737,0.001208751,0.0005843561,0.0003108699,0.0004384514,0.0003103125,0.007605042],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01188693,"threshold_uncertainty_score":0.03976572,"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."}}