{"id":"W2129474691","doi":"10.1142/s179304210800133x","title":"BALANCED SETS AND THE VECTOR GAME","year":2008,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Modulo; Mathematics; Combinatorics; Cardinality (data modeling); Prime (order theory); Upper and lower bounds; Context (archaeology); Discrete mathematics; Factorization; Prime factor; Algorithm","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":[0.001797038,0.0007987859,0.0008041085,0.001302335,0.001487829,0.003000616,0.001207751,0.0009157211,0.006954421],"category_scores_gemma":[0.004393538,0.0003692537,0.0005305386,0.001449126,0.002615855,0.007495338,0.002339142,0.001515788,0.0007594697],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002411116,"about_ca_system_score_gemma":0.0009904592,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001867051,"about_ca_topic_score_gemma":0.001394231,"domain_scores_codex":[0.9982314,0.0006179416,0.00009813203,0.0003425987,0.0002978031,0.0004121237],"domain_scores_gemma":[0.9980552,0.0010165,0.0002532315,0.000154229,0.0001621331,0.0003586909],"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":[0.0001528352,0.0000357045,0.0004024741,0.00004023367,0.0000100527,0.0000534708,0.0001749344,0.007810026,0.001255023,0.9793326,0.0009577019,0.009774971],"study_design_scores_gemma":[0.00004433328,0.0000843854,0.0002259345,0.00002416901,0.00001005613,0.0001040588,0.0001307425,0.03832485,0.000803019,0.9532429,0.006985959,0.00001946865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3450295,0.001386664,0.5602859,0.002678183,0.0002307278,0.0002649428,0.0008675762,0.0003546517,0.08890184],"genre_scores_gemma":[0.8960192,0.0007448537,0.08551315,0.0003517755,0.0001434924,0.0002261921,0.0005179656,0.00008561386,0.01639768],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006954421,"threshold_uncertainty_score":0.02326488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01252326220264409,"score_gpt":0.2620415997820041,"score_spread":0.24951833757936,"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."}}