{"id":"W2013164360","doi":"10.1007/s11868-011-0030-9","title":"Noncommutative residues for pseudo-differential operators on the noncommutative two-torus","year":2011,"lang":"en","type":"article","venue":"Journal of Pseudo-Differential Operators and Applications","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Noncommutative geometry; Noncommutative algebraic geometry; Differential (mechanical device); Mathematics; Torus; Pure mathematics; Noncommutative quantum field theory; Algebra over a field; Physics; Geometry","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":[0.001601612,0.001375533,0.001166757,0.00349106,0.002204595,0.004097113,0.001451443,0.001621213,0.00772703],"category_scores_gemma":[0.003546488,0.0005053534,0.001022019,0.001301223,0.004572208,0.007903417,0.002659037,0.002531185,0.0009926884],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001391422,"about_ca_system_score_gemma":0.000977458,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004068119,"about_ca_topic_score_gemma":0.0003704175,"domain_scores_codex":[0.9990588,0.0002501109,0.00007392311,0.0001537014,0.0002964834,0.0001670086],"domain_scores_gemma":[0.9981657,0.0004580358,0.0003020538,0.0001896846,0.0003243102,0.0005602798],"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":[0.00002698512,0.0000255402,0.00008038211,0.00001865926,0.000005672573,0.0001879443,0.0001835135,0.0005328064,0.0009933257,0.9964564,0.0002916465,0.001197086],"study_design_scores_gemma":[0.00002665166,0.00003552976,0.0002595501,0.00001069984,0.000005315346,0.0003298527,0.0001514214,0.0093124,0.0005427253,0.9881012,0.001204148,0.00002044463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7458453,0.001586033,0.1473724,0.002951703,0.001784966,0.00008247254,0.0001828568,0.0002673153,0.09992688],"genre_scores_gemma":[0.9564631,0.0006940499,0.01351327,0.0004149087,0.001046542,0.00006101569,0.0001396591,0.0001779332,0.02748953],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00772703,"threshold_uncertainty_score":0.02584946,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07712654696301842,"score_gpt":0.3606574730477162,"score_spread":0.2835309260846978,"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."}}