{"id":"W2486304031","doi":"10.1017/cbo9780511902659.008","title":"The integer part of <i>qα + β</i>","year":2014,"lang":"he","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Integer (computer science); Class (philosophy); Function (biology); Rational function; Mathematics; Combinatorics; Computer science; Discrete mathematics; Mathematical economics; Pure mathematics; Artificial intelligence; Biology; Programming language","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":[0.0005522302,0.0003972512,0.0002583274,0.0007735622,0.0008403795,0.002337283,0.0003884946,0.0004880643,0.009615839],"category_scores_gemma":[0.001508655,0.0001852236,0.0002530408,0.0006521766,0.002626783,0.002744728,0.0004193902,0.002020454,0.002396315],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009839268,"about_ca_system_score_gemma":0.0004110411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008456643,"about_ca_topic_score_gemma":0.0005854794,"domain_scores_codex":[0.999858,0.00002566687,0.000005789667,0.00002680318,0.00005367479,0.00003003532],"domain_scores_gemma":[0.9996112,0.0002198581,0.00002941607,0.00004817305,0.00006379811,0.00002758376],"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":[0.000004489255,0.000003380824,0.00003587439,0.00001681517,7.88753e-7,0.00001773433,0.0001524239,0.00009603523,0.0003898655,0.990044,0.003285893,0.005952657],"study_design_scores_gemma":[0.000004621569,0.0000175484,0.000338149,0.00004215774,0.000003610248,0.0001969917,0.0001127896,0.001128117,0.001391532,0.9186468,0.07810654,0.00001108974],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0394995,0.004171201,0.07402178,0.005391445,0.001826861,0.00002835471,0.000138621,0.0002677182,0.8746545],"genre_scores_gemma":[0.5648351,0.00559686,0.01873044,0.001746145,0.001893258,0.00006173523,0.0001298878,0.0004068558,0.4065997],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.009615839,"threshold_uncertainty_score":0.03216821,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03729321062729257,"score_gpt":0.2321930911807644,"score_spread":0.1948998805534719,"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."}}