{"id":"W1969686332","doi":"10.1006/jcta.2002.3268","title":"Vanishing Ideals of Lattice Diagram Determinants","year":2002,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Lattice (music); Diagram; Mathematics; Homogeneous; Combinatorics; Ideal (ethics); Partition (number theory); Quadrant (abdomen); Space (punctuation); Mathematical physics; Pure mathematics; Physics; Computer science; Philosophy; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002107999,0.0003003755,0.001066719,0.0001684048,0.0001215632,0.00006119377,0.0007114475,0.0001855329,0.0002399538],"category_scores_gemma":[0.007169815,0.0002558298,0.0003278818,0.0003290435,0.0001910312,0.000891048,0.0001467435,0.0004556947,0.000009024266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009703527,"about_ca_system_score_gemma":0.00005038012,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000106148,"about_ca_topic_score_gemma":6.564811e-7,"domain_scores_codex":[0.9966909,0.0004004984,0.001604114,0.0001576322,0.0007797441,0.0003670569],"domain_scores_gemma":[0.9937463,0.002667047,0.002227067,0.0005076193,0.0006758423,0.0001760714],"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":[0.0003168216,0.0005340996,0.0000994177,0.000226387,0.0001233585,0.00007838713,0.002025076,0.000004892487,0.0006898458,0.9927201,0.0006648581,0.002516813],"study_design_scores_gemma":[0.001741919,0.000948691,0.000008883173,0.0003302401,0.0001693515,0.0002339778,0.0006197675,0.00004609548,0.01257546,0.9814839,0.001601121,0.0002406315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9715111,0.0007769056,0.006007733,0.0001735535,0.01425278,0.0005000609,0.00001071518,0.00009289208,0.006674239],"genre_scores_gemma":[0.9854684,0.0001457261,0.01314388,0.00002221474,0.0007520102,0.000004847104,1.545118e-7,0.00006969317,0.0003930282],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01395732,"threshold_uncertainty_score":0.9999894,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0406839642677423,"score_gpt":0.3068111698883582,"score_spread":0.2661272056206159,"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."}}