{"id":"W2010486060","doi":"10.1016/j.geomphys.2007.11.005","title":"Turbiner’s conjecture in three dimensions","year":2007,"lang":"en","type":"article","venue":"Journal of Geometry and Physics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Conjecture; Mathematics; Algebraic number; Pure mathematics; Cartesian coordinate system; Algebraic geometry; Type (biology); Algebra over a field; Mathematical analysis; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005536327,0.0001176699,0.0003002406,0.0001497075,0.00004745383,0.00001265554,0.00009202685,0.00007632484,0.00002094813],"category_scores_gemma":[0.0002187287,0.0000884199,0.00008408564,0.000605461,0.00004544955,0.0001751524,0.00003578323,0.0004213641,0.000002163241],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002205925,"about_ca_system_score_gemma":0.00002230505,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.124495e-7,"about_ca_topic_score_gemma":0.000009585323,"domain_scores_codex":[0.9991077,0.00001427875,0.0003803687,0.00008498302,0.0002102427,0.0002023828],"domain_scores_gemma":[0.9988156,0.0006140532,0.0002679702,0.0001181286,0.00008268246,0.0001015565],"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":[0.0005892109,0.001626792,0.1264758,0.0004609519,0.0004053666,0.0009542755,0.003031618,0.0009764008,0.008349039,0.7253932,0.002149368,0.129588],"study_design_scores_gemma":[0.0008590011,0.0001870165,0.01733115,0.00009786275,0.00003797523,0.000146703,0.0001933907,0.00003843799,0.002252168,0.9776754,0.001031022,0.0001498936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9484566,0.0005822985,0.05015171,0.000149427,0.0001999636,0.00004885817,0.000002505132,0.000006638581,0.0004019562],"genre_scores_gemma":[0.9926637,0.00003928158,0.00668327,0.0001534004,0.0003895363,1.865065e-7,4.820089e-7,0.00001200149,0.00005811463],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2522821,"threshold_uncertainty_score":0.3605659,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02626353842446164,"score_gpt":0.3096255249206729,"score_spread":0.2833619864962112,"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."}}