{"id":"W2308447638","doi":"10.1007/s11868-016-0155-y","title":"Analysis of matrices of pseudo-differential operators with separable symbols on $${\\mathbb Z}_N$$ Z N","year":2016,"lang":"en","type":"article","venue":"Journal of Pseudo-Differential Operators and Applications","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Separable space; Sigma; Mathematics; Differential operator; Combinatorics; Series (stratigraphy); Differential (mechanical device); Upper and lower bounds; Discrete mathematics; Algebra over a field; Pure mathematics; Physics; Mathematical analysis; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.000996649,0.001060009,0.0006028989,0.00191676,0.001062407,0.002087836,0.00175191,0.001390063,0.008505744],"category_scores_gemma":[0.003310607,0.0004572,0.0008816884,0.0007709993,0.002486534,0.003540397,0.001324429,0.001386113,0.0008069686],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000953321,"about_ca_system_score_gemma":0.001236175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001138932,"about_ca_topic_score_gemma":0.001085168,"domain_scores_codex":[0.9993218,0.0001791175,0.00003166488,0.0001164083,0.0002334983,0.0001174741],"domain_scores_gemma":[0.9974391,0.0008849077,0.0004601839,0.0001682524,0.0005329399,0.0005145589],"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":[0.00006240445,0.00006136821,0.0003341628,0.00004693709,0.00001705935,0.0001876072,0.0002228728,0.005910395,0.004549738,0.9849391,0.0009395557,0.002728722],"study_design_scores_gemma":[0.00003022646,0.00008887365,0.001041755,0.00003774983,0.00001979398,0.0005002572,0.0002848326,0.2313174,0.003580736,0.7601847,0.002839834,0.00007376201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4339844,0.0009075751,0.5215266,0.001596255,0.0004315502,0.0001065517,0.0002782596,0.0002973067,0.04087144],"genre_scores_gemma":[0.9438136,0.0005218518,0.03004793,0.0003900941,0.0003631729,0.00009345327,0.0002526841,0.000222904,0.02429422],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008505744,"threshold_uncertainty_score":0.02845448,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01713816285156636,"score_gpt":0.2991818476446553,"score_spread":0.2820436847930889,"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."}}