{"id":"W2134485996","doi":"10.1090/crmp/025/27","title":"Self-similarity in spectral problems and 𝑞-special functions","year":2000,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Russian Foundation for Basic Research","keywords":"Similarity (geometry); Psychology; Computer science; Mathematics; Artificial intelligence","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00007828043,0.0004725134,0.0004741148,0.0001621338,0.0001862083,0.0001749691,0.0001409694,0.0003280324,0.001817429],"category_scores_gemma":[0.000005158219,0.0004451833,0.0001706843,0.00006944004,0.00008550658,0.0001212945,0.00005663063,0.001041832,0.00005050093],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005437895,"about_ca_system_score_gemma":0.00008223561,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003992732,"about_ca_topic_score_gemma":0.00004688885,"domain_scores_codex":[0.998511,0.000002934505,0.0003248384,0.0005736467,0.0001840098,0.0004035491],"domain_scores_gemma":[0.999501,0.00003791687,0.0001369549,0.0001147836,0.00007902225,0.0001302915],"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":[0.00005033713,0.0001638998,0.00836065,0.0001852049,0.0002360424,0.000005760857,0.002681423,0.00002190488,0.00006252996,0.962604,0.0004943053,0.02513394],"study_design_scores_gemma":[0.0003488022,0.00007946903,0.0005098169,0.0001317104,0.0001062183,0.000006370939,0.00002682594,0.00009726898,0.00006895009,0.7245515,0.2735728,0.000500267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.008630618,0.0002901035,0.00009885184,0.0004362118,0.0002102878,0.0004812468,0.0001488716,0.00008675524,0.989617],"genre_scores_gemma":[0.9760678,0.0001493508,0.0003152861,0.0001562977,0.01732041,0.00005379692,0.0002151434,0.000164499,0.005557427],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.9840596,"threshold_uncertainty_score":0.9998,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0110130074698555,"score_gpt":0.2138902738206929,"score_spread":0.2028772663508374,"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."}}