{"id":"W4390016943","doi":"10.4064/aa230315-14-7","title":"The Minkowski sum of linear Cantor sets","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cantor set; Uniqueness; Minkowski space; Set (abstract data type); Minkowski addition; Combinatorics; Representation (politics); Discrete mathematics; Pure mathematics; Mathematical analysis; Mathematical physics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0006179744,0.0005654718,0.0005544823,0.003329774,0.001855423,0.003446273,0.0008025313,0.0004694606,0.008124921],"category_scores_gemma":[0.002453908,0.0003282242,0.0005423395,0.001525746,0.002619009,0.003163831,0.001896706,0.00111163,0.001206501],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001260654,"about_ca_system_score_gemma":0.0009182272,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001649533,"about_ca_topic_score_gemma":0.001083395,"domain_scores_codex":[0.998996,0.0001662304,0.00004939114,0.0001613263,0.0004157329,0.0002113461],"domain_scores_gemma":[0.9991289,0.0002156556,0.0001321247,0.00006714578,0.0002352208,0.0002209937],"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":[0.00004101315,0.000005995377,0.0002285916,0.00004305283,0.00001070738,0.00007677427,0.0001499362,0.0007800818,0.0009522471,0.9887297,0.001600442,0.007381537],"study_design_scores_gemma":[0.000008351813,0.0000309382,0.0009649456,0.00003695346,0.00001456476,0.0003742667,0.0002392759,0.01221735,0.002072907,0.970983,0.01300615,0.00005131199],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4951957,0.004464062,0.2248332,0.001575178,0.0007486846,0.00009133152,0.0014073,0.0005225168,0.271162],"genre_scores_gemma":[0.9487574,0.001039496,0.0172738,0.0002838353,0.0004223671,0.0001244114,0.0005969986,0.0001244604,0.0313773],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008124921,"threshold_uncertainty_score":0.02718055,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03529614098628208,"score_gpt":0.3368363714560156,"score_spread":0.3015402304697336,"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."}}