{"id":"W2063733832","doi":"10.1016/j.mcm.2003.11.004","title":"Bounding hermite matrix polynomials","year":2004,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"Luonnontieteiden ja Tekniikan Tutkimuksen Toimikunta","keywords":"Hermite polynomials; Mathematics; Orthogonal polynomials; Classical orthogonal polynomials; Bounding overwatch; Pure mathematics; Combinatorics; Algebra over a field; Applied mathematics; Computer science; Artificial intelligence","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":[0.0003546018,0.0002087555,0.000412316,0.00007919258,0.0001868312,0.000147189,0.0001532178,0.000087731,0.00005103385],"category_scores_gemma":[0.00005342676,0.0001708496,0.0001150806,0.0001304193,0.0000749078,0.000124906,0.0001267617,0.000172155,0.00006081011],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004157067,"about_ca_system_score_gemma":0.00001816357,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006992791,"about_ca_topic_score_gemma":4.635904e-7,"domain_scores_codex":[0.9986154,0.00006007318,0.0004689541,0.0002924966,0.0002383695,0.000324722],"domain_scores_gemma":[0.9989188,0.0005287317,0.00009811271,0.0002489566,0.00003611105,0.0001692407],"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":[0.000006805374,0.0001664469,0.000004235251,0.0001835698,0.0000358437,0.000005677248,0.0006924334,0.003858869,0.0001775451,0.9869416,0.000008624161,0.007918286],"study_design_scores_gemma":[0.000290454,0.00003450899,0.000002167645,0.0001212574,0.00003954388,0.00002438048,0.00001599086,0.2387569,0.0003050065,0.7601919,0.00005488827,0.0001629961],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1742922,0.00004211127,0.8246741,0.0002288745,0.0001035681,0.0001829442,0.00000195733,0.0001503837,0.0003238679],"genre_scores_gemma":[0.181404,0.00000706393,0.8181351,0.00006351077,0.0001906647,0.00001495648,0.000001177859,0.00003126259,0.0001521983],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2348981,"threshold_uncertainty_score":0.6967044,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09295397196079265,"score_gpt":0.3488195742886565,"score_spread":0.2558656023278638,"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."}}