{"id":"W4253055825","doi":"10.1080/00029890.2002.11919863","title":"Dedekind Sums and Uniform Distributions","year":2002,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Dedekind sum; Dedekind cut; Mathematics; Pure mathematics","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":[0.000310819,0.0002914578,0.0006236675,0.00008789519,0.000237679,0.00009481563,0.0001959039,0.00007825327,0.002757189],"category_scores_gemma":[0.00132297,0.0002277749,0.0001400184,0.0003708811,0.000593568,0.0001306177,0.0001091039,0.0002176782,0.0005523368],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004897461,"about_ca_system_score_gemma":0.000009764134,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002305957,"about_ca_topic_score_gemma":0.00001081329,"domain_scores_codex":[0.998195,0.00007142848,0.000599184,0.0003307191,0.0003074191,0.0004962669],"domain_scores_gemma":[0.9971451,0.001688683,0.0001908008,0.0005674575,0.0000614676,0.0003464938],"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":[0.00000662634,0.0004367927,0.0000890977,0.0001301429,0.0000619566,0.000009168831,0.0004119129,5.496869e-7,0.00006204061,0.9808851,0.01443651,0.003470137],"study_design_scores_gemma":[0.0003074522,0.0001914246,0.0001655047,0.00007572422,0.0001265519,0.00004904097,0.0003945182,0.006397828,0.0001652755,0.982486,0.009262268,0.0003783976],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2061216,0.0002403044,0.08141778,0.004617954,0.0001500026,0.001111682,0.0002349217,0.0006601852,0.7054456],"genre_scores_gemma":[0.9132358,0.00003890286,0.08280279,0.0002355739,0.0001292535,0.0001124813,0.000008538322,0.00006063141,0.003375997],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7071142,"threshold_uncertainty_score":0.9981544,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04028443704592478,"score_gpt":0.2837036538418793,"score_spread":0.2434192167959545,"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."}}