{"id":"W2469213791","doi":"10.1007/978-1-4939-3264-1_6","title":"Gaussian Integers: From Arithmetic to Arithmetics","year":2015,"lang":"en","type":"book-chapter","venue":"Compact textbooks in mathematics","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Arithmetic; Gaussian integer; Mathematics; Discrete 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003493803,0.0007060448,0.0004458,0.001340604,0.001167975,0.003893111,0.0007828668,0.0007494375,0.01868134],"category_scores_gemma":[0.001958131,0.0003072658,0.0002186949,0.002093759,0.00337305,0.005426511,0.001435538,0.002848548,0.007083374],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001885685,"about_ca_system_score_gemma":0.00163939,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001910945,"about_ca_topic_score_gemma":0.00248517,"domain_scores_codex":[0.9996473,0.00007016773,0.00001453767,0.00005019078,0.0001771926,0.00004065062],"domain_scores_gemma":[0.9996729,0.0001393332,0.000023387,0.00003911647,0.00009238154,0.0000329324],"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":[0.000005206487,0.000005988951,0.00002714561,0.00004998521,9.041585e-7,0.000008105725,0.000210692,0.0001136847,0.00009711284,0.9468284,0.02887371,0.02377903],"study_design_scores_gemma":[0.000004471083,0.000006118331,0.0001134637,0.00009310352,0.00000206992,0.00004433127,0.00009903335,0.0002043564,0.00008300691,0.6437652,0.355579,0.000005638132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00362226,0.06843334,0.02409748,0.006175576,0.004582288,0.00003181732,0.0002229268,0.0003728915,0.8924614],"genre_scores_gemma":[0.153192,0.08623464,0.02111181,0.004765301,0.008671383,0.0001535019,0.0004476285,0.0006515771,0.7247722],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01868134,"threshold_uncertainty_score":0.06249535,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1260828260962241,"score_gpt":0.3299515097018951,"score_spread":0.2038686836056711,"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."}}