{"id":"W2021618181","doi":"10.1007/s11040-015-9172-y","title":"2D-Zernike Polynomials and Coherent State Quantization of the Unit Disc","year":2015,"lang":"en","type":"article","venue":"Mathematical Physics Analysis and Geometry","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University; University of Prince Edward Island; Concordia University","funders":"","keywords":"Zernike polynomials; Orthonormality; Mathematics; Orthogonal polynomials; Quantization (signal processing); Coherent states; Hilbert space; Pure mathematics; Mathematical analysis; Algebra over a field; Orthonormal basis; Algorithm; Physics; Quantum mechanics; Quantum","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":[0.0003176214,0.0001874446,0.0005033365,0.00007805677,0.00009242527,0.00007970828,0.0001464927,0.00003059453,0.00006411692],"category_scores_gemma":[0.00001594964,0.0001251403,0.0002042378,0.0009870082,0.00011395,0.00009793036,0.0001712837,0.0001163781,0.000009593059],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007577745,"about_ca_system_score_gemma":0.00003306883,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007455118,"about_ca_topic_score_gemma":0.000003625464,"domain_scores_codex":[0.998823,0.00007021413,0.0003700684,0.0002399942,0.0003002811,0.000196434],"domain_scores_gemma":[0.999018,0.0001100475,0.0002577064,0.0003512084,0.0001151492,0.0001478523],"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":[0.00001972165,0.0006505626,0.09810364,0.0001276826,0.001775663,4.980794e-7,0.0008131046,0.0004065532,0.001416113,0.879275,0.0002154752,0.01719595],"study_design_scores_gemma":[0.0005340246,0.00006019972,0.007014026,0.00004811894,0.001200487,3.597253e-7,0.0004810535,0.04634663,0.006002306,0.9378718,0.0001372156,0.0003037392],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8636362,0.00005496063,0.1347873,0.00007631489,0.00003468226,0.0001412883,0.00008451475,0.000007986706,0.001176797],"genre_scores_gemma":[0.9993688,0.000006093567,0.0002390045,0.00002516277,0.00007704668,0.000007253734,0.00002531055,0.00001626634,0.0002350759],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1357326,"threshold_uncertainty_score":0.5103074,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02347375795985554,"score_gpt":0.2673533000806103,"score_spread":0.2438795421207548,"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."}}