{"id":"W1493766186","doi":"10.37236/4082","title":"A Criterion for a Monomial Ideal to have a Linear Resolution in Characteristic 2","year":2015,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; Killam Trusts","keywords":"Monomial; Ideal (ethics); Resolution (logic); Mathematics; Monomial ideal; Pure mathematics; Discrete mathematics; Algebra over a field; Mathematical analysis; Polynomial; Computer science; Polynomial ring; Law; Artificial intelligence","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":[0.002615079,0.0002332754,0.0005751211,0.0002526884,0.00008805054,0.00005437583,0.0007201953,0.000167813,0.00000317511],"category_scores_gemma":[0.001046658,0.0001825975,0.0001948412,0.0001923832,0.00003312422,0.00006435317,0.0002863915,0.001390308,0.000003732228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001392677,"about_ca_system_score_gemma":0.001234672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002222907,"about_ca_topic_score_gemma":0.00005310536,"domain_scores_codex":[0.9979857,0.0002093851,0.0008493087,0.000181664,0.0003039209,0.0004700135],"domain_scores_gemma":[0.9973568,0.0006060945,0.0008272543,0.0004488464,0.0006546142,0.000106331],"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":[0.000985653,0.0005388386,0.00006664573,0.0001851556,0.0001882694,0.000004960945,0.005896841,0.0002959948,0.0003100738,0.9849784,0.005500346,0.001048754],"study_design_scores_gemma":[0.0009891704,0.0006923183,0.0001613683,0.0001606378,0.0001325261,0.00003595115,0.0002321163,0.003210772,0.0001043297,0.989727,0.004371832,0.0001819772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8429016,0.001160472,0.1500012,0.003826687,0.0005000339,0.001428288,0.00002734354,0.00001929855,0.0001350774],"genre_scores_gemma":[0.9985853,0.0001695388,0.0005300602,0.00006285024,0.0003421993,0.0001365591,0.000009156035,0.00004258757,0.000121736],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1556837,"threshold_uncertainty_score":0.7446111,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07130716521301153,"score_gpt":0.3769500251936341,"score_spread":0.3056428599806226,"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."}}