{"id":"W2974812454","doi":"10.32370/ia_2019_09_25","title":"The great Theorem of Pierre de Fermat as a special case abc conjecture and the proof of Andrew Beal hypothesis. Part 2.","year":2019,"lang":"en","type":"article","venue":"Intellectual Archive","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Fermat's Last Theorem; Mathematics; Beal's conjecture; Number theory; Conjecture; Calculus (dental); Philosophy; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001087228,0.0002075706,0.0004758401,0.00005576649,0.0002361551,0.00002097994,0.0003207703,0.00007419346,0.0006630917],"category_scores_gemma":[0.003082562,0.0001081838,0.0001764527,0.00008493719,0.001429861,0.00003665972,0.0001212176,0.000301767,0.00003290868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002261291,"about_ca_system_score_gemma":0.00009575675,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001122956,"about_ca_topic_score_gemma":0.00006469837,"domain_scores_codex":[0.9983711,0.0005188577,0.0004575771,0.0001768698,0.0002252452,0.0002503692],"domain_scores_gemma":[0.9834031,0.01576152,0.000272313,0.0004425146,0.00005548841,0.00006499947],"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":[0.001930324,0.0001356828,0.00001082502,0.0003746511,0.0002917032,0.00007825224,0.1798613,0.000005405172,0.0002094419,0.7989385,0.00820664,0.009957311],"study_design_scores_gemma":[0.0009851803,0.0002754706,0.000002148102,0.0001423121,0.0001258684,0.002028289,0.003595278,0.0003116226,0.007159755,0.9737669,0.01146655,0.0001406084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9261358,0.0003441842,0.0007990955,0.0001817828,0.0001692761,0.000920544,0.00006083875,0.00002107709,0.07136738],"genre_scores_gemma":[0.9956452,0.0000729505,0.0009174736,0.00007986871,0.0002268801,0.00002404969,0.00000144088,0.00003333171,0.002998799],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.176266,"threshold_uncertainty_score":0.7260388,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02424629459026575,"score_gpt":0.2506812869586548,"score_spread":0.2264349923683891,"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."}}