{"id":"W2795152743","doi":"10.5539/jmr.v10n3p53","title":"Brief Summary on Frequently-used Properties about Divisibility of Two's Power Plus-minus One","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Safety and Risk Management","field":"Business, Management and Accounting","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Divisibility rule; Mathematics; Divisor (algebraic geometry); Property (philosophy); Power (physics); Combinatorics; Discrete mathematics; Epistemology; Philosophy","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":[0.006488944,0.0001702108,0.0004782141,0.000691862,0.0002455407,0.0002259886,0.0007704296,0.00007253041,0.0005718442],"category_scores_gemma":[0.0009739471,0.0001179979,0.0001789097,0.0005790956,0.0004396614,0.0006338384,0.0004394125,0.0005061713,0.0002234975],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001300878,"about_ca_system_score_gemma":0.000108771,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000192808,"about_ca_topic_score_gemma":0.00007317331,"domain_scores_codex":[0.9963712,0.00007879747,0.0009231068,0.0001994727,0.001991814,0.0004356152],"domain_scores_gemma":[0.9969023,0.0002546641,0.0006550521,0.0005327655,0.001617738,0.0000375201],"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":[0.005525132,0.02375154,0.02145881,0.02170664,0.003145197,0.0005794041,0.01779636,0.00096177,0.04502118,0.6563288,0.1705897,0.03313546],"study_design_scores_gemma":[0.02678803,0.005097424,0.07788184,0.02497328,0.001053074,0.00008666928,0.02448624,0.03340097,0.04571628,0.5441456,0.2132436,0.003127071],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9392164,0.000305457,0.0008305979,0.001523311,0.0003616403,0.0005423291,0.000002485374,0.00002386538,0.05719389],"genre_scores_gemma":[0.9962392,0.00006941384,0.001244197,0.0001835117,0.0009763527,0.000005331414,0.000001076986,0.00003282333,0.001248077],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1121832,"threshold_uncertainty_score":0.6261293,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1523229575397993,"score_gpt":0.3583812816430982,"score_spread":0.2060583241032989,"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."}}