{"id":"W1973100193","doi":"10.1134/s0361768808020047","title":"On solving large systems of polynomial equations appearing in discrete differential geometry","year":2008,"lang":"en","type":"article","venue":"Programming and Computer Software","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"","keywords":"Overdetermined system; Mathematics; Polynomial; Integrable system; System of polynomial equations; Scalar (mathematics); Differential equation; Applied mathematics; Algebraic equation; Algebraic number; Rectangle; Differential geometry; Partial differential equation; Algebra over a field; Mathematical analysis; Pure 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00005993841,0.0001112462,0.00019936,0.00008760743,0.0001476579,0.00004964009,0.00007820212,0.00003048083,0.000008331044],"category_scores_gemma":[0.00000381312,0.000102108,0.00006422743,0.0001059276,0.00002800421,0.00005332042,0.00009421702,0.0001363166,0.000002367926],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008896444,"about_ca_system_score_gemma":0.00001478802,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004385886,"about_ca_topic_score_gemma":0.000003876816,"domain_scores_codex":[0.9992386,0.00002754914,0.0002027864,0.000184031,0.0001020297,0.0002450319],"domain_scores_gemma":[0.9996414,0.00009495245,0.00006602191,0.0001218931,0.00001904688,0.00005669625],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002693583,0.0005423017,0.859874,0.0001402911,0.0001128392,0.000009765021,0.001983357,0.001000095,0.00001327097,0.01525446,0.00007849102,0.1209642],"study_design_scores_gemma":[0.008462937,0.001150598,0.4290297,0.001954451,0.0001359926,0.00002524274,0.001780479,0.5505079,0.0002925087,0.001281016,0.003215161,0.002163992],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6376843,0.00004673827,0.3619621,0.000004791499,0.000142162,0.0000992199,0.00001813813,0.00002524038,0.00001720753],"genre_scores_gemma":[0.9944444,8.869225e-7,0.005053408,0.000004312395,0.0003429737,0.00001172327,0.00004814078,0.00001205159,0.00008214095],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5495078,"threshold_uncertainty_score":0.4163845,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01224284055324578,"score_gpt":0.2377269006482509,"score_spread":0.2254840600950051,"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."}}