{"id":"W3037598597","doi":"10.1017/fmp.2022.9","title":"Quadratic Klein-Gordon equations with a potential in one dimension","year":2022,"lang":"en","type":"article","venue":"Forum of Mathematics Pi","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Nonlinear system; Fourier transform; Quadratic equation; Mathematical analysis; Degeneracy (biology); Dimension (graph theory); Space (punctuation); Eigenvalues and eigenvectors; Stability (learning theory); Physics; Pure mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006456421,0.0002835041,0.0007087012,0.0002388054,0.0002000043,0.00001910197,0.0004002825,0.00005749999,0.0003208624],"category_scores_gemma":[0.0002914515,0.0002578848,0.0001266214,0.0006112074,0.000113232,0.0001965374,0.0003863128,0.000390826,0.00002568507],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001549685,"about_ca_system_score_gemma":0.00008993954,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002282163,"about_ca_topic_score_gemma":0.00006029889,"domain_scores_codex":[0.9971295,0.00009590778,0.0009673444,0.0003244632,0.001004324,0.0004784832],"domain_scores_gemma":[0.9974691,0.0009694682,0.0006159052,0.00074799,0.0001090702,0.00008848895],"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":[0.00004643771,0.00355364,0.00002830402,0.0009463671,0.0000747419,0.00001588834,0.003063966,0.004620073,0.007428306,0.9796757,0.0002736381,0.0002729193],"study_design_scores_gemma":[0.001044231,0.0004522201,0.000006903185,0.0002332331,0.00009362881,0.00001651822,0.003679276,0.02540562,0.002107369,0.9666229,0.0000297262,0.000308352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3198815,0.00006627558,0.6722217,0.0009678538,0.0001064166,0.001908539,0.00004573473,0.0001845437,0.004617362],"genre_scores_gemma":[0.789028,0.000002124174,0.2102789,0.00004325774,0.00001378098,0.0002406744,0.00001253941,0.00007631773,0.000304393],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4691465,"threshold_uncertainty_score":0.9999874,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03737290303415929,"score_gpt":0.279886236388777,"score_spread":0.2425133333546177,"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."}}