{"id":"W4402193221","doi":"10.5802/alco.370","title":"The base size of the symmetric group acting on subsets","year":2024,"lang":"lv","type":"article","venue":"Algebraic Combinatorics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of St Andrews","keywords":"Base (topology); Permutation group; Combinatorics; Permutation (music); Group (periodic table); Mathematics; Symmetric group; Primitive permutation group; Set (abstract data type); Pointwise; Discrete mathematics; Cyclic permutation; Computer science; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.001234389,0.0007274325,0.001121461,0.001607916,0.001456976,0.004037869,0.001295444,0.001061511,0.0327736],"category_scores_gemma":[0.004065851,0.0004080058,0.0006219056,0.0007176388,0.00198435,0.005159599,0.002508535,0.001615779,0.005887699],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009852964,"about_ca_system_score_gemma":0.0008598059,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005786102,"about_ca_topic_score_gemma":0.0003835562,"domain_scores_codex":[0.9987049,0.0002154252,0.00008830196,0.0003161132,0.0003494701,0.0003257663],"domain_scores_gemma":[0.9972014,0.0009595686,0.0002512523,0.0004545667,0.0004502776,0.000682795],"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":[0.0004575366,0.00004921441,0.0005623649,0.0001103978,0.00002156945,0.0002072698,0.0005309071,0.0008392356,0.008793488,0.9606308,0.006402705,0.02139442],"study_design_scores_gemma":[0.00009536659,0.0002601744,0.001151459,0.00006762813,0.00003299539,0.0003126685,0.0004841304,0.004404612,0.01313313,0.9498684,0.03013792,0.00005149039],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5886889,0.002018538,0.1321696,0.004956899,0.001545315,0.0002453226,0.003890813,0.001715098,0.2647695],"genre_scores_gemma":[0.950394,0.0005778066,0.01388906,0.0004465556,0.0007432795,0.0002596093,0.001624924,0.0003591409,0.03170558],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0327736,"threshold_uncertainty_score":0.1096386,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007844251260929224,"score_gpt":0.2020033760547824,"score_spread":0.1941591247938532,"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."}}