{"id":"W2763892565","doi":"10.48550/arxiv.1710.01530","title":"Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane","year":2017,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Sine; Plane (geometry); sine-Gordon equation; Mathematics; Mathematical analysis; Physics; Geometry; History; Soliton; Nonlinear system; Archaeology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003451336,0.0003399909,0.0003802566,0.000909059,0.0005081723,0.000916659,0.0005508195,0.0006987932,0.002040091],"category_scores_gemma":[0.001365403,0.0002550502,0.0004334238,0.0005622325,0.0007945108,0.0008101633,0.0008279518,0.0007939647,0.000339224],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007611815,"about_ca_system_score_gemma":0.0007311845,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008831582,"about_ca_topic_score_gemma":0.0004236981,"domain_scores_codex":[0.9998968,0.00002868133,0.000009153642,0.00001029873,0.00003189845,0.00002315504],"domain_scores_gemma":[0.9998044,0.00003842895,0.00004318326,0.00002158195,0.00006055358,0.00003188872],"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":[0.00009506338,0.00008732246,0.001840212,0.00009751749,0.00001708393,0.0004996906,0.0005339506,0.04034549,0.03935918,0.8965265,0.0008156533,0.01978247],"study_design_scores_gemma":[0.00006416105,0.0001321373,0.001225661,0.00005493327,0.00001302134,0.0005536039,0.0006181107,0.544012,0.01276556,0.4368237,0.003685888,0.00005115936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7758289,0.0003159892,0.2028421,0.0005833976,0.00007218427,0.0000728033,0.0001160929,0.000217768,0.01995089],"genre_scores_gemma":[0.9040198,0.0005700713,0.08309875,0.0001382977,0.00003452854,0.0001459141,0.0002177868,0.0001131753,0.01166174],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002040091,"threshold_uncertainty_score":0.006824791,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1792336399182805,"score_gpt":0.2343314859179389,"score_spread":0.05509784599965833,"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."}}