{"id":"W2126194123","doi":"10.1017/s1446181100012815","title":"Some new results for the Lagrange polynomials in several variables","year":2007,"lang":"en","type":"article","venue":"The ANZIAM Journal","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Council","keywords":"Mathematics; Identity (music); Lagrange polynomial; Orthogonal polynomials; Differential (mechanical device); Pure mathematics; Difference polynomials; Algebra over a field; Classical orthogonal polynomials; Applied mathematics; Mathematical analysis; Polynomial","routes":{"ca_aff":true,"ca_fund":true,"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":[0.006387969,0.0001557001,0.0002773762,0.00008620099,0.0004203067,0.0001376807,0.0004371606,0.00009125318,0.0001624968],"category_scores_gemma":[0.001574409,0.00007488541,0.0001753678,0.0001705383,0.00005579935,0.0001509426,0.0000491928,0.0003696513,0.00003091828],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005758659,"about_ca_system_score_gemma":0.0001112759,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009313264,"about_ca_topic_score_gemma":0.0001471331,"domain_scores_codex":[0.9983345,0.0001019125,0.0007567322,0.0001208784,0.0002363365,0.0004495857],"domain_scores_gemma":[0.9929698,0.006195723,0.0002723087,0.0003792364,0.0000570573,0.0001258743],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001234206,0.0002194131,0.00004347388,0.00005398383,0.0001824006,0.00001431816,0.003484065,0.0001114404,0.0008386659,0.3370044,0.648634,0.008179625],"study_design_scores_gemma":[0.002694798,0.00013216,0.0005643264,0.0001122116,0.0001423352,0.0002429268,0.0006386349,0.0005799607,0.0007252728,0.8725079,0.1214449,0.000214517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3349078,0.008507887,0.4873085,0.1134382,0.008953618,0.005727433,0.0002449876,0.0003036439,0.04060796],"genre_scores_gemma":[0.7195548,0.001927681,0.1141567,0.009849425,0.04852515,0.0001155757,0.0000150723,0.0003131604,0.1055425],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5355035,"threshold_uncertainty_score":0.3232702,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08285988329509032,"score_gpt":0.3421663171984022,"score_spread":0.2593064339033119,"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."}}