{"id":"W1979340931","doi":"10.1016/j.laa.2006.03.002","title":"Unitarily achievable zero patterns and traces of words in A and A","year":2006,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"semigroups and automata theory","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Zero (linguistics); Combinatorics; Pure mathematics; Linguistics","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":[0.001867746,0.001004651,0.001208008,0.001783137,0.003194761,0.00620639,0.002195114,0.002269301,0.006737582],"category_scores_gemma":[0.01044258,0.001046132,0.001723081,0.001574677,0.005741973,0.008509468,0.004400386,0.003697148,0.001011268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00160844,"about_ca_system_score_gemma":0.001891512,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00119018,"about_ca_topic_score_gemma":0.0009313142,"domain_scores_codex":[0.996578,0.0009364791,0.0003299881,0.0007736434,0.0006092874,0.0007724638],"domain_scores_gemma":[0.991269,0.004586635,0.0008317604,0.001203384,0.001046716,0.001062421],"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":[0.0001070593,0.00004485001,0.0003307762,0.00003348977,0.00001345839,0.0001437419,0.0007497501,0.0006362819,0.001599447,0.9927908,0.0002358742,0.003314343],"study_design_scores_gemma":[0.00001391678,0.0000297995,0.00009929123,0.00001338576,0.000009780842,0.00008032166,0.0003052482,0.003182801,0.001745706,0.9937955,0.0007105516,0.00001365581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5749775,0.0004122012,0.3637394,0.001290672,0.000221988,0.0001616635,0.0005883041,0.0007223744,0.05788583],"genre_scores_gemma":[0.9539363,0.0001735208,0.03030087,0.000174662,0.00006782178,0.0002372311,0.0003726619,0.0001869142,0.01454999],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006737582,"threshold_uncertainty_score":0.0225395,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0064196656218465,"score_gpt":0.2174353623080343,"score_spread":0.2110156966861878,"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."}}