{"id":"W657107528","doi":"10.1090/crmp/044","title":"Singularities in PDE and the Calculus of Variations","year":2008,"lang":"en","type":"book","venue":"CRM proceedings & lecture notes","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Calculus (dental); Gravitational singularity; Mathematics; Applied mathematics; Mathematical analysis; Medicine","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":[],"consensus_categories":[],"category_scores_codex":[0.0001440383,0.0002540543,0.0005337644,0.00008592598,0.0001244808,0.00006345394,0.000152383,0.0001902079,0.00002740852],"category_scores_gemma":[0.00005219188,0.0001686296,0.00013481,0.00009877259,0.0002716032,0.00005458817,0.00006169845,0.0004329601,0.000002311136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003649228,"about_ca_system_score_gemma":0.0001241628,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005297756,"about_ca_topic_score_gemma":0.00001889579,"domain_scores_codex":[0.9989853,0.00001017302,0.0003582741,0.0002559697,0.0001843819,0.0002059118],"domain_scores_gemma":[0.9992387,0.0002334059,0.0002661145,0.00008956627,0.0001297145,0.00004248065],"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":[0.0000207269,0.00002034502,0.0008965129,0.0001121518,0.00005857634,6.496172e-7,0.002253379,0.00001311152,0.00004402075,0.9954002,0.0001109349,0.001069364],"study_design_scores_gemma":[0.001188646,0.00004378279,0.0004961401,0.0004793493,0.0001127408,0.000007406995,0.0001169555,0.00517502,0.0001109869,0.9835356,0.008365723,0.0003676891],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.01366068,0.003375534,0.01801019,0.00112428,0.0003180077,0.0012092,0.0001495961,0.00005955588,0.9620929],"genre_scores_gemma":[0.9976746,0.00002525598,0.00002249637,0.00004523619,0.0006110808,0.00003421984,0.00003730651,0.00003078052,0.001518999],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9840139,"threshold_uncertainty_score":0.6876518,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005922110696842959,"score_gpt":0.2016545472277508,"score_spread":0.1957324365309078,"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."}}