{"id":"W2137993616","doi":"10.1145/1504347.1504354","title":"On solving large systems of polynomial equations appearing In discrete differential geometry","year":2009,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"Freie Universität Berlin; Technische Universität Berlin","keywords":"Overdetermined system; Mathematics; Integrable system; Scalar (mathematics); Homogeneous polynomial; Polynomial; Homogeneous; Differential equation; Algebraic number; Differential algebraic geometry; Applied mathematics; Algebra over a field; Mathematical analysis; Pure mathematics; Differential algebraic equation; Matrix polynomial; Ordinary differential equation; Geometry; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002588741,0.001228101,0.001234012,0.0007248161,0.001316151,0.001583571,0.00096715,0.0009170129,0.005231561],"category_scores_gemma":[0.008856605,0.0006328998,0.0009631797,0.00138336,0.002686879,0.004540323,0.00360475,0.002977686,0.001253174],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007373502,"about_ca_system_score_gemma":0.0008590586,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00180336,"about_ca_topic_score_gemma":0.002911568,"domain_scores_codex":[0.9986192,0.0006117837,0.00005875597,0.0001460667,0.0004689045,0.00009524002],"domain_scores_gemma":[0.9951764,0.003879371,0.0001258263,0.0004574212,0.0002346189,0.0001262452],"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":[0.0003342347,0.0001994389,0.001915657,0.001132285,0.0002082329,0.000450084,0.00180329,0.230369,0.007531288,0.4996816,0.02087306,0.2355019],"study_design_scores_gemma":[0.00009081544,0.00007044817,0.0003179176,0.00004586135,0.00002333352,0.0001144011,0.0002407913,0.5259917,0.001997808,0.4587627,0.0123142,0.00003002757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04445327,0.001605024,0.9347587,0.002418915,0.0002832639,0.0001475757,0.0001937051,0.00108244,0.01505718],"genre_scores_gemma":[0.1866857,0.001780925,0.8008667,0.0004802306,0.0005121707,0.0002666273,0.0004778069,0.0004164586,0.008513439],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005231561,"threshold_uncertainty_score":0.01750129,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02185673904384883,"score_gpt":0.2993655356540411,"score_spread":0.2775087966101922,"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."}}