{"id":"W2963050844","doi":"10.1088/1751-8113/43/29/292002","title":"Lie point symmetries of differential–difference equations","year":2010,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneous space; Mathematics; Point (geometry); Differential equation; Differential (mechanical device); Mathematical analysis; Mathematical physics; Lie theory; Lie group; Physics; Pure mathematics; Geometry; Adjoint representation of a Lie algebra","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0009799644,0.0003920496,0.0007569704,0.001213738,0.0007575893,0.001081618,0.001165301,0.0006016768,0.007406725],"category_scores_gemma":[0.002618899,0.0004194136,0.001111822,0.0005794184,0.001006897,0.001382995,0.001629621,0.001483215,0.002081736],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005599369,"about_ca_system_score_gemma":0.0008111355,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001409168,"about_ca_topic_score_gemma":0.001428465,"domain_scores_codex":[0.9996617,0.00008620958,0.00002108241,0.00003644784,0.0001535385,0.00004112748],"domain_scores_gemma":[0.9993716,0.0002817611,0.00004927292,0.0001002687,0.0001492837,0.00004775596],"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":[0.0001017563,0.00009858777,0.001329727,0.0001486059,0.00003934722,0.0003957475,0.0003896642,0.06696738,0.008436452,0.7995586,0.003346209,0.1191879],"study_design_scores_gemma":[0.00005274358,0.00004359409,0.0002275807,0.00001783752,0.000008935493,0.00009399134,0.00008954026,0.4724832,0.003675962,0.5167152,0.006569853,0.00002150651],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03190983,0.00006411758,0.959923,0.0001511849,0.00005672296,0.0001158702,0.0001442001,0.0003586362,0.007276406],"genre_scores_gemma":[0.2135937,0.0001427433,0.7797229,0.00007092756,0.00004516495,0.0001936489,0.000432271,0.0003356613,0.005463034],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007406725,"threshold_uncertainty_score":0.02477789,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00786888014418722,"score_gpt":0.2509197546244882,"score_spread":0.243050874480301,"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."}}