{"id":"W3091214701","doi":"10.24193/fpt-ro.2020.2.48","title":"An ultra-product method via left reversible semigroups to study Bruck's generalized conjecture","year":2020,"lang":"en","type":"article","venue":"Fixed Point Theory","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Conjecture; Product (mathematics); Banach space; Generality; Mathematical proof; Pure mathematics; Property (philosophy); Order (exchange); Semigroup; Regular polygon; Fixed point; Space (punctuation); Discrete mathematics; Mathematical analysis; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002567485,0.0004149434,0.0006701306,0.0001361805,0.0002475076,0.00008811852,0.0008427404,0.0001186104,0.002725329],"category_scores_gemma":[0.002261803,0.0003607642,0.0001426449,0.0005457352,0.00006071409,0.000301188,0.0001589625,0.0006585561,0.0003345267],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001063013,"about_ca_system_score_gemma":0.00008669196,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001794914,"about_ca_topic_score_gemma":0.00002319051,"domain_scores_codex":[0.9951271,0.002136172,0.0005047127,0.000979985,0.0006133842,0.0006386318],"domain_scores_gemma":[0.9969707,0.0008614614,0.0001132646,0.001255693,0.0001991158,0.0005997581],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.002183177,0.001340505,0.001180243,0.00030863,0.0006529336,0.0003125071,0.05864684,0.0009604223,0.8072721,0.1037245,0.01502204,0.008396112],"study_design_scores_gemma":[0.003597169,0.002239651,0.0002730752,0.00004471406,0.0002023468,0.00008870019,0.006829309,0.0004848262,0.6397471,0.342752,0.002551787,0.00118923],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6562094,0.0001499706,0.3365846,0.002420655,0.0002083728,0.002775936,0.00006153232,0.0005777585,0.001011762],"genre_scores_gemma":[0.8013187,0.000004626889,0.1948359,0.002364124,0.0004929978,0.0000696909,0.00002243963,0.0001557287,0.000735753],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2390276,"threshold_uncertainty_score":0.9998844,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0456661813117414,"score_gpt":0.3727346902582638,"score_spread":0.3270685089465225,"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."}}