{"id":"W2100536608","doi":"10.1017/s0004972715000490","title":"ON ITERATED POWERS OF POSITIVE DEFINITE FUNCTIONS","year":2015,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Iterated function; Positive-definite matrix; Unital; Sequence (biology); Zero (linguistics); Operator (biology); Group (periodic table)","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":[0.0007509564,0.0001998415,0.0003981127,0.00002539276,0.00008844076,0.00001955582,0.0004389353,0.0001474816,0.001171312],"category_scores_gemma":[0.002057428,0.0001320519,0.0003922855,0.0003127103,0.000435081,0.00002534173,0.0001691568,0.0003631223,0.0002634099],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001049296,"about_ca_system_score_gemma":0.00007255544,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009732565,"about_ca_topic_score_gemma":3.611214e-7,"domain_scores_codex":[0.998031,0.0001711651,0.0005243702,0.0002184481,0.0007284437,0.0003266274],"domain_scores_gemma":[0.9975664,0.001059035,0.0002281356,0.0006162394,0.0003584261,0.0001717799],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001397409,0.001191419,0.0001735176,0.0004997528,0.0003442394,0.0000025534,0.003426799,0.0001727254,0.002152607,0.4687366,0.5230773,0.00008277861],"study_design_scores_gemma":[0.002460791,0.0007709549,0.0004008116,0.001007512,0.0002217665,0.00003110786,0.00532651,0.0002909091,0.04296613,0.9390011,0.006982216,0.0005402011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9425228,0.00002429765,0.007091869,0.01678577,0.0002562189,0.001683504,0.0002555021,0.0001450493,0.03123495],"genre_scores_gemma":[0.9299929,0.000001901244,0.04713555,0.0002793765,0.00003971221,0.00003338745,0.000006126259,0.00005934741,0.02245174],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5160951,"threshold_uncertainty_score":0.9997417,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0744771677572169,"score_gpt":0.3377137091159285,"score_spread":0.2632365413587116,"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."}}