{"id":"W1999792349","doi":"10.5539/jmr.v1n2p144","title":"Characteristic Ratio and Its Properties","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Cross-ratio; Pure mathematics; Algebraic number; Aspect ratio (aeronautics); Geometry; Mathematical analysis","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":[0.0006645051,0.00006394915,0.0002030412,0.0001943732,0.00004077227,0.00004620278,0.0001385416,0.00003198079,0.00002311911],"category_scores_gemma":[0.0003239755,0.0000442586,0.00003441439,0.0001758311,0.00002614038,0.0001707311,0.0000175938,0.0003301426,0.00001362803],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004276003,"about_ca_system_score_gemma":0.00001201349,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.215873e-7,"about_ca_topic_score_gemma":8.201804e-8,"domain_scores_codex":[0.9990669,0.00002816802,0.0003090442,0.00004224008,0.0003986877,0.0001549706],"domain_scores_gemma":[0.9994465,0.00008246236,0.0000527905,0.00008337972,0.0002579763,0.00007688554],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00002092356,0.0002506801,0.00001869014,0.0005216368,0.00009792066,0.00007498315,0.001600408,0.000703646,0.9636573,0.003670645,0.001648729,0.02773451],"study_design_scores_gemma":[0.0005957353,0.001351923,0.001199125,0.00111539,0.00007318371,0.0004290584,0.0009053526,0.4238445,0.4864006,0.0775981,0.005964239,0.0005227604],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.932056,0.002732729,0.062214,0.0008057578,0.00004600341,0.0002026641,0.000001075873,0.00009522155,0.00184656],"genre_scores_gemma":[0.9892739,0.0007505649,0.009723032,0.000009585417,0.00006919434,0.000001764477,1.056194e-7,0.000009989006,0.0001618292],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4772567,"threshold_uncertainty_score":0.1804813,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0911391962506877,"score_gpt":0.3631280197709452,"score_spread":0.2719888235202575,"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."}}