{"id":"W6966917369","doi":"10.48550/arxiv.2106.01175","title":"Generators and Relations for the Group On(Z[1/2])","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Group (periodic table); Integer (computer science); Hadamard transform; Dimension (graph theory); Unitary state; Set (abstract data type); Toffoli gate; Algebra over a field; Group theory","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001009946,0.001094068,0.0004407182,0.001842613,0.001577912,0.002349739,0.001005996,0.0009553537,0.01828692],"category_scores_gemma":[0.001182741,0.0002643296,0.0006606143,0.0009088017,0.002501629,0.002802886,0.001719087,0.002132169,0.005170234],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007659314,"about_ca_system_score_gemma":0.0006215338,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006234156,"about_ca_topic_score_gemma":0.0004969264,"domain_scores_codex":[0.9993069,0.0001910861,0.00004351399,0.0001419551,0.0001674031,0.0001492235],"domain_scores_gemma":[0.9995688,0.0001101037,0.00008150402,0.00006517213,0.0001076137,0.00006688564],"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":[0.00001439433,0.000009739223,0.00003843435,0.00001644225,0.000001387277,0.00004588856,0.0001870493,0.0001526531,0.0007569588,0.9906819,0.0022257,0.00586945],"study_design_scores_gemma":[0.00001668333,0.00003364644,0.0001378709,0.00001989875,0.000003420814,0.0001475766,0.0001171695,0.001384944,0.001146388,0.9397771,0.05719623,0.00001913049],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09484931,0.003594841,0.455703,0.004173086,0.003013255,0.0004878487,0.001725342,0.0008756341,0.4355777],"genre_scores_gemma":[0.6470613,0.001712326,0.2404625,0.001847106,0.001571937,0.00127778,0.001930235,0.0008531483,0.1032837],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01828692,"threshold_uncertainty_score":0.06117582,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1604728852959716,"score_gpt":0.2358313825101212,"score_spread":0.07535849721414964,"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."}}