{"id":"W2614749082","doi":"10.1145/3096730.3096736","title":"An upper bound for the order of a differential algebraic variety","year":2017,"lang":"en","type":"article","venue":"ACM communications in computer algebra","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Upper and lower bounds; Variety (cybernetics); Mathematics; Differential algebraic geometry; Differential (mechanical device); Context (archaeology); Algebraic number; Order (exchange); Algebraic variety; Pure mathematics; Algebra over a field; Differential equation; Differential algebraic equation; Mathematical analysis; Ordinary differential equation; Physics","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":[0.002609049,0.001227787,0.00143844,0.004219777,0.002058647,0.005497663,0.0021237,0.001194033,0.008458815],"category_scores_gemma":[0.009398391,0.0007463743,0.001450673,0.002231442,0.004337704,0.009207843,0.005248012,0.00583959,0.002255769],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002231484,"about_ca_system_score_gemma":0.0009117819,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001196521,"about_ca_topic_score_gemma":0.001337227,"domain_scores_codex":[0.9971278,0.0003139276,0.0001740221,0.000598005,0.001082128,0.000704067],"domain_scores_gemma":[0.9890555,0.005954647,0.0004603947,0.001924149,0.001352926,0.00125237],"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":[0.0001451478,0.00005246062,0.001668799,0.0001757228,0.00002323368,0.0002727589,0.0003880611,0.005096307,0.005240165,0.9631078,0.002304116,0.02152544],"study_design_scores_gemma":[0.00001822812,0.00009812755,0.001364434,0.0001344209,0.00006329062,0.0004368087,0.0001367838,0.0210282,0.00768217,0.9510841,0.01788927,0.0000641445],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2048471,0.006089869,0.6062716,0.003361006,0.0006423721,0.0001049874,0.001029477,0.002089022,0.1755646],"genre_scores_gemma":[0.8870312,0.003200713,0.08427297,0.0004684287,0.0008753134,0.0001320506,0.001025546,0.0006650843,0.02232864],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008458815,"threshold_uncertainty_score":0.0282976,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04147916019368249,"score_gpt":0.3243343731031736,"score_spread":0.2828552129094911,"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."}}