{"id":"W4236395947","doi":"10.1117/3.2207310.ch9","title":"Laguerre Polynomials","year":2016,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Frequency and Time Standards","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Laguerre polynomials; Laguerre's method; Refractive index; Mathematics; Differential equation; Polynomial; Mathematical analysis; Orthogonal polynomials; Physics; Mathematical physics; Classical orthogonal polynomials; Quantum mechanics","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00004146017,0.0002622022,0.0002893512,0.00004162125,0.00006677355,0.00001526196,0.000133134,0.0001108742,0.1115282],"category_scores_gemma":[9.824271e-7,0.0001852475,0.0001918221,0.000005652878,0.00007628794,0.00007590208,0.00003939153,0.0001639835,0.002406348],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002742681,"about_ca_system_score_gemma":0.00007902419,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005581477,"about_ca_topic_score_gemma":0.000001121327,"domain_scores_codex":[0.9991984,0.000003345741,0.0002062639,0.0002650696,0.0001353217,0.0001915506],"domain_scores_gemma":[0.9994216,0.00003329618,0.0001185876,0.0003002495,0.00005196869,0.00007430296],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000004208392,0.000002581944,0.000009637879,0.000002347017,0.0000631829,0.000001742456,0.000004589591,1.407859e-7,0.00001308513,0.8866819,0.01560824,0.09760833],"study_design_scores_gemma":[0.0001211095,0.000009741685,4.501437e-7,0.00004488092,0.00001568925,2.473896e-7,0.00000182079,1.051372e-7,0.0001494226,0.4128446,0.5866337,0.0001782318],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[5.514006e-7,0.0001062761,0.008445679,0.0001037847,0.0003450885,0.0001184848,0.0006592079,0.0000432987,0.9901776],"genre_scores_gemma":[0.002425376,0.000008004636,0.0002619758,0.0000425248,0.004124288,0.000005472327,0.00003808372,0.00004904654,0.9930452],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.5710254,"threshold_uncertainty_score":0.9983704,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01051279620713808,"score_gpt":0.2409721576701074,"score_spread":0.2304593614629694,"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."}}