{"id":"W2135009399","doi":"10.1016/j.jde.2003.10.017","title":"Lamé equations with algebraic solutions","year":2003,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Countable set; Algebraic number; Algebraic equation; Exponent; Integer (computer science); Algebraic solution; Monodromy; Scaling; Set (abstract data type); Solution set; Algebraic function; Order (exchange); Pure mathematics; Mathematical analysis; Differential equation; Differential algebraic equation; Nonlinear system; Ordinary differential equation","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":[0.0007887392,0.0009321386,0.0009861928,0.002270116,0.001912891,0.003250909,0.001333075,0.00254096,0.01352693],"category_scores_gemma":[0.004396962,0.0005207376,0.000837752,0.001561438,0.002604659,0.006352193,0.003102649,0.00353799,0.002139985],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001307096,"about_ca_system_score_gemma":0.000928503,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001125108,"about_ca_topic_score_gemma":0.0009170846,"domain_scores_codex":[0.9995771,0.0001207962,0.00002877837,0.00006113858,0.00014156,0.00007054418],"domain_scores_gemma":[0.9991074,0.0002695663,0.0001403997,0.00006531867,0.0002791312,0.0001380685],"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":[0.000006679914,0.000007912353,0.00004195362,0.00001910182,0.000003822287,0.00004486982,0.00008347532,0.0005501047,0.0002259615,0.9951133,0.001730337,0.002172437],"study_design_scores_gemma":[0.00001886162,0.000009502673,0.00008569035,0.0000108357,0.000005848556,0.0001980658,0.00009366815,0.009999581,0.0002540929,0.9813157,0.007994413,0.00001394029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1399692,0.007030246,0.4098511,0.01993239,0.003353068,0.0001866411,0.0007208892,0.0005775501,0.418379],"genre_scores_gemma":[0.7250037,0.004600646,0.05103343,0.001843409,0.003013732,0.000208698,0.0005888975,0.0002575489,0.21345],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01352693,"threshold_uncertainty_score":0.04525214,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05619361567804742,"score_gpt":0.3013904349509747,"score_spread":0.2451968192729272,"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."}}