{"id":"W1996369432","doi":"10.1016/j.jcta.2005.05.002","title":"Inequalities between Littlewood–Richardson coefficients","year":2005,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University; Université du Québec à Montréal","funders":"","keywords":"Inequality; Mathematics; Mathematical economics; Applied mathematics; Economics; Mathematical analysis","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":[0.002850026,0.0003611226,0.00101267,0.0002345644,0.0001794771,0.0001018665,0.0007434089,0.0002103697,0.0001686486],"category_scores_gemma":[0.004072721,0.0003070262,0.0003167525,0.0003594184,0.0001846708,0.0008722101,0.0001738277,0.0005769145,0.00002717472],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002555643,"about_ca_system_score_gemma":0.0001640489,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.93432e-7,"about_ca_topic_score_gemma":3.713909e-7,"domain_scores_codex":[0.996369,0.0004679422,0.001528281,0.0001876763,0.0009911319,0.0004559872],"domain_scores_gemma":[0.9948682,0.002236255,0.001421061,0.0004896449,0.0007459904,0.000238872],"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":[0.0004168192,0.0003500152,0.00008991246,0.00009454544,0.0001661053,0.00001415247,0.002140549,0.00001290514,0.0001789872,0.9928017,0.001446029,0.002288332],"study_design_scores_gemma":[0.00209995,0.0007660789,0.00001360807,0.0001775068,0.0001518716,0.00006816137,0.0009809065,0.000004553419,0.007214476,0.9490952,0.03912184,0.0003058865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9418502,0.0006374752,0.03280649,0.0009826623,0.01456391,0.0006277466,0.00003707821,0.0002361361,0.008258335],"genre_scores_gemma":[0.9815876,0.0000425271,0.01284546,0.0000485764,0.004414748,0.000006752376,0.00000176545,0.00008592093,0.0009666142],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04370648,"threshold_uncertainty_score":0.9999382,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03674467252206416,"score_gpt":0.3205207344418043,"score_spread":0.2837760619197402,"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."}}