{"id":"W2008440887","doi":"10.1063/1.4891491","title":"Some relations between symmetries of nonlocally related systems","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Symmetry (geometry); Local symmetry; Homogeneous space; Mathematics; Conservation law; Projection (relational algebra); Partial differential equation; Rotational symmetry; Global symmetry; Mathematical analysis; Physics; Symmetry breaking; Spontaneous symmetry breaking; Quantum mechanics; Geometry","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":[0.00136491,0.0002509771,0.0003968793,0.0009235246,0.001224932,0.001490906,0.0005752436,0.0006734568,0.004363996],"category_scores_gemma":[0.002755821,0.0002816326,0.0009158877,0.0006066909,0.002486435,0.002685061,0.001600308,0.001606971,0.000464696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000834749,"about_ca_system_score_gemma":0.0004806675,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007047662,"about_ca_topic_score_gemma":0.000507622,"domain_scores_codex":[0.9992861,0.0002003905,0.00005028263,0.0001321123,0.0002342076,0.00009698101],"domain_scores_gemma":[0.9988303,0.0003941579,0.0002752246,0.0002001553,0.0001761244,0.0001241285],"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":[0.00001419154,0.00001870413,0.00053939,0.00003398477,0.000008310664,0.0002612098,0.0003203387,0.002584427,0.001851044,0.9891064,0.0004119824,0.004850016],"study_design_scores_gemma":[0.0000150531,0.0000419625,0.0006712987,0.00001548943,0.000009127503,0.0002783203,0.0001387792,0.02142199,0.0009803136,0.9740825,0.002331105,0.00001402394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5371132,0.002324765,0.372676,0.001362229,0.0002427752,0.0001706724,0.0002374548,0.0002203464,0.08565259],"genre_scores_gemma":[0.9612015,0.0006745952,0.03100681,0.0002216986,0.0001900931,0.00008619671,0.0001511063,0.00007159259,0.006396274],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004363996,"threshold_uncertainty_score":0.01459897,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01413474578032725,"score_gpt":0.2584070432866661,"score_spread":0.2442722975063388,"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."}}