{"id":"W2739535508","doi":"10.5948/9781614441199.009","title":"Rational and Irrational Numbers","year":2015,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Global History, Politics, and Ideology","field":"Social Sciences","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Irrational number; Mathematics; 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":[0.002203616,0.0005998777,0.0006632645,0.001755597,0.002234705,0.004901146,0.0006108988,0.001370173,0.01337038],"category_scores_gemma":[0.007154627,0.0002952934,0.0007116334,0.001149888,0.008872684,0.007612369,0.002367476,0.003034663,0.001810416],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003751366,"about_ca_system_score_gemma":0.001032562,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002471612,"about_ca_topic_score_gemma":0.001134288,"domain_scores_codex":[0.9973677,0.001126544,0.0001154557,0.0004436563,0.0005983589,0.0003482572],"domain_scores_gemma":[0.9969065,0.001759502,0.0002022114,0.0004484032,0.0005277136,0.000155616],"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":[0.000005880364,0.000001716745,0.00005670161,0.00001024055,0.000001376147,0.0000159137,0.0001385147,0.0001122319,0.000018991,0.9965681,0.001589107,0.001481286],"study_design_scores_gemma":[0.000004082104,0.000003285799,0.00008892177,0.00001684089,0.00000187991,0.00004049628,0.0001118571,0.0004703147,0.00003365123,0.9818707,0.01735426,0.000003724562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0369784,0.01532491,0.03835618,0.0170311,0.0009328898,0.00003037332,0.0002981271,0.0002382128,0.8908098],"genre_scores_gemma":[0.9177967,0.005117606,0.008850011,0.002184326,0.001034924,0.00007259046,0.0001890037,0.0001332362,0.0646216],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01337038,"threshold_uncertainty_score":0.04472834,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03876579096988572,"score_gpt":0.3050229855606155,"score_spread":0.2662571945907298,"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."}}