{"id":"W2068910125","doi":"10.1016/j.aim.2005.05.014","title":"Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions","year":2005,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia; Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Bijection; Conjecture; Equivalence (formal languages); Factorization; Combinatorics; Pure mathematics; Equivalence relation; Symmetric function; Basis (linear algebra); Ribbon; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001188976,0.0009100322,0.0009265128,0.001828206,0.00224423,0.003103682,0.001159924,0.001098879,0.008319904],"category_scores_gemma":[0.002659304,0.0006756091,0.001003435,0.001225638,0.00386728,0.004942036,0.002561484,0.002752235,0.001475768],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001134725,"about_ca_system_score_gemma":0.0006439117,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006849745,"about_ca_topic_score_gemma":0.0008989237,"domain_scores_codex":[0.9989178,0.000274064,0.00005740428,0.0001940105,0.0002980335,0.000258627],"domain_scores_gemma":[0.9989449,0.000355287,0.0001496982,0.0001576203,0.0001915089,0.0002009635],"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":[0.00004005474,0.00001134818,0.00007433478,0.00001289211,0.000003848738,0.00006310431,0.000123898,0.0003844883,0.001282262,0.9927146,0.0003402196,0.00494904],"study_design_scores_gemma":[0.000009583492,0.00001552915,0.0001289412,0.000006411187,0.000005235234,0.00009989324,0.00009976204,0.002141268,0.001417869,0.9943323,0.00173348,0.000009682487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.5431759,0.0009340242,0.2782212,0.0008279555,0.0005233776,0.00007706858,0.0002366653,0.0004014289,0.1756024],"genre_scores_gemma":[0.9362476,0.0006498299,0.02958594,0.0003369686,0.0002964955,0.00007356368,0.0003100208,0.0002286705,0.03227098],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.008319904,"threshold_uncertainty_score":0.02783287,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03188119500384148,"score_gpt":0.3395643267235235,"score_spread":0.307683131719682,"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."}}