{"id":"W2005796648","doi":"10.1016/j.jalgebra.2013.05.027","title":"On the uniformity of zero-dimensional complete intersections","year":2013,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conjecture; Mathematics; Zero (linguistics); Intersection (aeronautics); Combinatorics; Complete intersection; Interval (graph theory); Discrete mathematics; Pure mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002233609,0.00006149376,0.0001256348,0.00007642678,0.00003931801,0.00001150043,0.0001266006,0.00002724916,0.0003539079],"category_scores_gemma":[0.00002395743,0.00003659146,0.0001115135,0.00008978228,0.0000360377,0.00009998336,0.000009527248,0.0001944372,0.00005360302],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001625352,"about_ca_system_score_gemma":0.000006960207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007508723,"about_ca_topic_score_gemma":0.000001808335,"domain_scores_codex":[0.9994507,0.000039294,0.0002691155,0.00002703083,0.0001349836,0.00007881239],"domain_scores_gemma":[0.9995239,0.000153196,0.00009812731,0.0001009051,0.00008306927,0.00004084333],"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":[0.0001345869,0.000296014,0.001989388,0.0001742661,0.00136702,0.00002374012,0.00258141,0.05559911,0.1664826,0.6003236,0.1682718,0.002756455],"study_design_scores_gemma":[0.002727507,0.00204421,0.08556353,0.001439967,0.0002063602,0.001631168,0.003487769,0.02698912,0.05523274,0.8096648,0.01014455,0.0008682399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9962029,0.00005480295,0.0006403434,0.0001676307,0.0005473094,0.00005392619,0.000002664676,0.00001085703,0.002319608],"genre_scores_gemma":[0.9997831,0.000002871645,0.00005059786,0.00006247024,0.00005061068,0.000001292628,2.529881e-7,0.000007102442,0.00004167838],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2093413,"threshold_uncertainty_score":0.3875043,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01056411088458336,"score_gpt":0.1858224580844088,"score_spread":0.1752583471998254,"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."}}