{"id":"W3099559212","doi":"","title":"Jack superpolynomials, superpartition ordering and determinantal formulas","year":2001,"lang":"en","type":"article","venue":"CERN Document Server (European Organization for Nuclear Research)","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; Université Laval","funders":"","keywords":"Eigenfunction; Monomial; Mathematics; Hamiltonian (control theory); Trigonometry; Simple (philosophy); Pure mathematics; Expression (computer science); Extension (predicate logic); Mathematical physics; Algebra over a field; Mathematical analysis; Eigenvalues and eigenvectors; Physics; Quantum mechanics; Computer science; Philosophy","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003061698,0.000130839,0.0001233173,0.00008246969,0.0007578689,0.0004522077,0.0002254814,0.00002723678,0.003404384],"category_scores_gemma":[0.00002267698,0.0001315501,0.00004739435,0.0002104049,0.00007972946,0.0004590373,0.0003521483,0.0001330358,0.0005574762],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005148357,"about_ca_system_score_gemma":0.000009862537,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009139975,"about_ca_topic_score_gemma":0.000003246117,"domain_scores_codex":[0.9988658,0.0001053507,0.0002065613,0.0002838546,0.0001872371,0.0003511577],"domain_scores_gemma":[0.9994107,0.00002240481,0.00004068802,0.0002272293,0.0001471468,0.0001518651],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0003680278,0.001109879,0.08820528,0.0003013794,0.0003937717,0.00007053051,0.006791047,0.0001748657,0.006999716,0.857453,0.006368155,0.03176434],"study_design_scores_gemma":[0.01151989,0.001871136,0.1131663,0.0004102228,0.0002254202,0.0002130642,0.01033017,0.00124839,0.02460585,0.09901176,0.7343685,0.00302932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9962081,0.00001853804,0.00003990714,0.0003032991,0.00007220243,0.0002909077,0.000006499346,0.00007607166,0.002984449],"genre_scores_gemma":[0.9975074,0.00003799615,0.00003100136,0.0000437593,0.0003444749,6.904976e-7,0.0002316419,0.0001673076,0.001635745],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7584412,"threshold_uncertainty_score":0.9975066,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02245842902188161,"score_gpt":0.2728846273217889,"score_spread":0.2504261982999073,"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."}}