{"id":"W1486890707","doi":"10.37236/199","title":"Composition of Transpositions and Equality of Ribbon Schur $Q$-Functions","year":2009,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Skew; Schur's lemma; Combinatorics; Schur's theorem; Ribbon; Diagram; Eulerian path; Schur algebra; Substitution (logic); Irreducibility; Pure mathematics; Discrete mathematics; Orthogonal polynomials; Geometry; Lagrangian; Gegenbauer polynomials; Computer science","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":[0.001629126,0.0005781361,0.0005839473,0.001720546,0.001680667,0.00269182,0.0008122389,0.0007300068,0.007119103],"category_scores_gemma":[0.003798355,0.000530482,0.000947337,0.0009136377,0.003269975,0.005674568,0.002463026,0.001942385,0.001240044],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009353131,"about_ca_system_score_gemma":0.0006681331,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007690705,"about_ca_topic_score_gemma":0.00090253,"domain_scores_codex":[0.9981532,0.0003793694,0.0001571337,0.0004250399,0.000468042,0.0004172991],"domain_scores_gemma":[0.9980553,0.0006402477,0.0002000311,0.000236276,0.0005906047,0.0002775523],"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":[0.00006101403,0.00002707966,0.0006080477,0.00003548672,0.000005959982,0.0002143368,0.0004138823,0.0007173464,0.003961496,0.9793032,0.000378755,0.01427338],"study_design_scores_gemma":[0.00002427112,0.0001129122,0.0008000479,0.00003366249,0.00003026066,0.0006320486,0.0005029073,0.008767292,0.02633631,0.9507182,0.01199497,0.00004711524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4236091,0.0005443679,0.4889212,0.0003687216,0.0004170945,0.00009590942,0.0001571937,0.0006535874,0.08523285],"genre_scores_gemma":[0.9302715,0.0003918505,0.05364664,0.0002139592,0.0001581935,0.00006946616,0.0001944155,0.0002844814,0.01476962],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007119103,"threshold_uncertainty_score":0.02381575,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02045735255392491,"score_gpt":0.3009647153715366,"score_spread":0.2805073628176117,"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."}}