{"id":"W4297482196","doi":"10.48550/arxiv.1212.2674","title":"On the Existence and Uniqueness of Global Solutions for the KdV Equation\\n with Quasi-Periodic Initial Data","year":2012,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Uniqueness; Mathematics; Korteweg–de Vries equation; Diophantine equation; Mathematical analysis; Fourier transform; Fourier series; Interval (graph theory); Inverse; Fourier analysis; Small data; Mathematical physics; Pure mathematics; Physics; Combinatorics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001489298,0.0009371276,0.0006721734,0.001176684,0.001070945,0.001337936,0.001083494,0.00137,0.002552843],"category_scores_gemma":[0.0056874,0.0004391152,0.0007140798,0.0003515569,0.003711036,0.002408287,0.002643059,0.001477652,0.0003105827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007229694,"about_ca_system_score_gemma":0.0009048022,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00115644,"about_ca_topic_score_gemma":0.0008354457,"domain_scores_codex":[0.9997566,0.00008968017,0.00001030223,0.00004874473,0.00004415318,0.00005061486],"domain_scores_gemma":[0.9984647,0.000874975,0.0002099041,0.00009008322,0.0001910714,0.0001692442],"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":[0.0001194559,0.00007848173,0.001813925,0.0002843238,0.00006081632,0.0003909713,0.0004918567,0.0757832,0.009416704,0.9012946,0.001526487,0.008739133],"study_design_scores_gemma":[0.00005177951,0.0001608016,0.001060658,0.0001082777,0.00002936273,0.0002036921,0.0003977241,0.5801565,0.003913125,0.4115126,0.002353952,0.00005152966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4625866,0.00169662,0.5082586,0.002943521,0.000226892,0.0001014264,0.0001924381,0.0001448199,0.02384894],"genre_scores_gemma":[0.9388461,0.001582869,0.04319295,0.0003309106,0.0001643116,0.0002339185,0.0002162611,0.0001393878,0.01529336],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002552843,"threshold_uncertainty_score":0.008540094,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3679684026785792,"score_gpt":0.2865631822506953,"score_spread":0.08140522042788395,"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."}}