{"id":"W1777899759","doi":"10.1007/978-3-642-04103-7_12","title":"On Computing the Hermite Form of a Matrix of Differential Polynomials","year":2009,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Hermite polynomials; Computer science; Differential (mechanical device); Matrix (chemical analysis); Algebra over a field; Mathematics; Pure mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006749376,0.0004382663,0.0007027523,0.0006269945,0.0001827754,0.0001703104,0.003144156,0.0002045578,0.00001050972],"category_scores_gemma":[0.00007351419,0.0003122225,0.0002500158,0.0005328998,0.000585784,0.0002404128,0.0009241286,0.0005315898,0.000007679109],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001305215,"about_ca_system_score_gemma":0.0003554944,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003140591,"about_ca_topic_score_gemma":0.00002023971,"domain_scores_codex":[0.9967935,0.00005005527,0.0008573409,0.0008598089,0.0009593866,0.0004799001],"domain_scores_gemma":[0.9968675,0.001019344,0.0007786377,0.001063537,0.0001780579,0.00009291667],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001728826,0.00004676972,0.000007895073,0.00003832361,0.00001405599,0.000008238317,0.0009443116,0.01844434,0.00071481,0.05783834,0.00001492438,0.9219107],"study_design_scores_gemma":[0.00054804,0.0006175109,0.0009442026,0.0008214028,0.00001772546,0.00003650408,2.381499e-7,0.6260976,0.01053226,0.3597062,0.000133901,0.0005443568],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.008527477,0.0001987048,0.987857,0.0005639057,0.001161048,0.0003884907,0.000006008042,0.00006171505,0.00123569],"genre_scores_gemma":[0.9588589,0.00001208281,0.04013805,0.0004596982,0.0003557477,0.00000132668,0.00000264261,0.00001739235,0.0001541764],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9503314,"threshold_uncertainty_score":0.999933,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01156770704021687,"score_gpt":0.2484608247179025,"score_spread":0.2368931176776856,"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."}}