{"id":"W2053977276","doi":"10.1063/1.1849811","title":"Method of variation of constants for difference equations and its application to the calculation of atomic integrals","year":2005,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Electromagnetic Scattering and Analysis","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Variation of parameters; Extension (predicate logic); Mathematical analysis; Variable (mathematics); Quantum mechanics; Differential equation; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003055143,0.0007825374,0.0007053474,0.001631527,0.0007246027,0.001015331,0.002125824,0.0009976104,0.002294329],"category_scores_gemma":[0.007523929,0.0003452162,0.001290221,0.001059431,0.001516112,0.00137023,0.001476585,0.002660229,0.0009514659],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00072666,"about_ca_system_score_gemma":0.001346019,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001252612,"about_ca_topic_score_gemma":0.0006636271,"domain_scores_codex":[0.9987255,0.0006418073,0.00006382899,0.0001100089,0.0003939178,0.0000649199],"domain_scores_gemma":[0.9973635,0.001802395,0.0001336279,0.0002553637,0.0003808549,0.00006424984],"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":[0.00008055315,0.00005812681,0.0005052123,0.0002634153,0.00007010884,0.0001859938,0.000337486,0.04172124,0.01092357,0.8386548,0.001868934,0.1053306],"study_design_scores_gemma":[0.00004573757,0.00009263178,0.0003073346,0.00006938561,0.00003115529,0.0003374094,0.00004899097,0.6193336,0.005951402,0.3495728,0.02413324,0.0000763399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002037755,0.0002627974,0.9958537,0.00007465215,0.00009286997,0.00003880193,0.00001415392,0.00008242321,0.001542882],"genre_scores_gemma":[0.1107119,0.0009577358,0.8817109,0.0001552746,0.0002265813,0.0003912166,0.00007223624,0.0006071545,0.005167028],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003055143,"threshold_uncertainty_score":0.01615733,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02053006894795972,"score_gpt":0.3146067571271175,"score_spread":0.2940766881791578,"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."}}