{"id":"W611409601","doi":"10.71781/15480","title":"Families of orthogonal functions defined by the Weyl groups of compact Lie groups","year":2012,"lang":"en","type":"dissertation","venue":"Open MIND","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Montréal; Centre de Recherches Mathématiques; České Vysoké Učení Technické v Praze","keywords":"Humanities; Mathematics; Lie group; Pure mathematics; Philosophy","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003197335,0.0002716315,0.0006083806,0.0001139277,0.0001239951,0.00002951148,0.0005536825,0.0002116819,0.002789244],"category_scores_gemma":[0.0002284499,0.0001926556,0.0001825644,0.0003117033,0.00008843613,0.0001960511,0.00006721324,0.0002932269,0.0001046468],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000221042,"about_ca_system_score_gemma":0.00008849147,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002642642,"about_ca_topic_score_gemma":0.0004713194,"domain_scores_codex":[0.9985459,0.00006183517,0.0005899052,0.000232187,0.0003350567,0.0002351528],"domain_scores_gemma":[0.9978782,0.0006874687,0.0007284377,0.0004931964,0.0001501575,0.00006256621],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.002871045,0.01084937,0.02913725,0.004772231,0.005579315,0.0000141672,0.04451945,0.00007028136,0.06348514,0.2018992,0.1262989,0.5105036],"study_design_scores_gemma":[0.008088735,0.001634193,0.1832533,0.003533832,0.006664726,0.000083024,0.1564434,0.00007112858,0.116743,0.3797829,0.1388939,0.00480794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9543003,0.0007126403,0.0002623578,0.00002762084,0.0004040897,0.0005157051,0.0004995462,0.000002655803,0.04327501],"genre_scores_gemma":[0.9748328,0.00003615694,0.00163433,0.000007542189,0.00008900698,0.00002239508,0.001861901,0.0000471133,0.02146871],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5056957,"threshold_uncertainty_score":0.9981223,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04988937245296856,"score_gpt":0.3383499570113124,"score_spread":0.2884605845583439,"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."}}