{"id":"W2100330808","doi":"10.1016/j.laa.2006.03.008","title":"A solution of an operator equation related to the KdV equation","year":2006,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Korteweg–de Vries equation; Mathematics; Operator (biology); Bounded function; Nonlinear system; Bounded operator; Hypoelliptic operator; Eigenvalues and eigenvectors; Mathematical analysis; Invertible matrix; Banach space; Pure mathematics; Mathematical physics; Semi-elliptic operator; Differential operator; Quantum mechanics; Physics","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":[0.0001230472,0.00007683168,0.00008476227,0.00003424749,0.0002083944,0.00002769272,0.00008895445,0.00003205055,0.00006078195],"category_scores_gemma":[0.000004036996,0.00005974249,0.00003213798,0.0002270582,0.00002058119,0.0001078257,0.00002633189,0.00006689307,0.00006014233],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006715001,"about_ca_system_score_gemma":0.00002794125,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00018022,"about_ca_topic_score_gemma":0.00001272411,"domain_scores_codex":[0.9993829,0.00003009955,0.0002255252,0.0001598509,0.00009092425,0.0001107448],"domain_scores_gemma":[0.9995574,0.00003406259,0.0000710402,0.0001946562,0.00009429943,0.00004852747],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000006540897,0.00022185,0.0007427176,0.000007417654,0.00002083823,3.504659e-8,0.0003364163,0.00153041,0.01266988,0.967216,0.0001982049,0.01704975],"study_design_scores_gemma":[0.001328332,0.0002747593,0.02143655,0.00003774971,0.0001778061,0.00000237859,0.0009025303,0.7467646,0.03781012,0.1041728,0.08643859,0.0006538469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8571284,0.0001064636,0.1369835,0.001678693,0.00004298601,0.0009022436,0.0001471952,0.00003632717,0.002974178],"genre_scores_gemma":[0.9966236,0.000002261377,0.001932715,0.00004603819,0.0003284746,0.0001166965,0.0003685333,0.00001062872,0.0005710126],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8630432,"threshold_uncertainty_score":0.2436228,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01298834178209073,"score_gpt":0.2647965701699577,"score_spread":0.251808228387867,"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."}}