{"id":"W2986160520","doi":"10.1002/jcd.21778","title":"Small Latin arrays have a near transversal","year":2021,"lang":"en","type":"preprint","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Diagonal; Transversal (combinatorics); Row; Latin square; Row and column spaces; Mathematics; Combinatorics; Corollary; Matrix (chemical analysis); Diagonal matrix; Order (exchange); Computation; Table (database); Column (typography); Algorithm; Connection (principal bundle); Computer science; Geometry; Mathematical analysis; Materials science","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":[0.0003582687,0.0003869422,0.0004124294,0.0006605894,0.0006480752,0.001623802,0.0003548331,0.0006364586,0.009438991],"category_scores_gemma":[0.003187493,0.0005291167,0.0003538179,0.0004587038,0.001009239,0.001612343,0.001110137,0.0008589804,0.001659494],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003906741,"about_ca_system_score_gemma":0.0003048173,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003508558,"about_ca_topic_score_gemma":0.0006915409,"domain_scores_codex":[0.9994845,0.0001205914,0.00003413844,0.0001215348,0.00013747,0.0001015589],"domain_scores_gemma":[0.9968469,0.001213415,0.0005950936,0.0005781889,0.0004719051,0.000294545],"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":[0.001040078,0.0001613824,0.008579653,0.0002704357,0.00005086818,0.0007082659,0.0004801283,0.04071236,0.1837592,0.7186849,0.004961236,0.04059156],"study_design_scores_gemma":[0.0001270627,0.0009209238,0.004240937,0.0001472163,0.00005712807,0.00224703,0.0007479464,0.1789496,0.09382444,0.6923609,0.02628564,0.00009110427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.800084,0.0004035915,0.1529807,0.000543878,0.0001496686,0.00003885688,0.0002643059,0.000567866,0.04496709],"genre_scores_gemma":[0.9405583,0.00020644,0.04524342,0.0002862516,0.00006141377,0.00004209004,0.0002551957,0.0001520588,0.01319479],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009438991,"threshold_uncertainty_score":0.03157657,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03635854040924036,"score_gpt":0.2225233355970318,"score_spread":0.1861647951877914,"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."}}