{"id":"W2077941705","doi":"10.4153/cmb-2005-055-5","title":"On the Regularity of the <i>s</i>-Differential Metric","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; University of Isfahan","keywords":"Mathematics; Injective function; Pure mathematics; Metric (unit); Differential (mechanical device)","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007305401,0.0001880334,0.0003547933,0.0002025652,0.000209084,0.000050992,0.0006887146,0.0001353431,0.03975796],"category_scores_gemma":[0.004071512,0.00009299302,0.0003309227,0.0009722535,0.0001525457,0.00001469881,0.00006278286,0.0003625176,0.001573425],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001112739,"about_ca_system_score_gemma":0.0001007001,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002166043,"about_ca_topic_score_gemma":0.001195238,"domain_scores_codex":[0.9982828,0.000159305,0.0004415011,0.0002045253,0.0005354169,0.0003764495],"domain_scores_gemma":[0.9972059,0.001420469,0.0001608574,0.0008797557,0.000100003,0.0002330165],"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":[0.000002911402,0.0001014036,0.00001696273,0.0000348137,0.00006069041,0.000001223935,0.00009282374,0.000005769099,0.00002015464,0.8146887,0.1843634,0.0006111588],"study_design_scores_gemma":[0.0005548293,0.00007059682,0.001136558,0.0001985913,0.0004509625,0.00002253268,0.0002673646,0.001185529,0.002161351,0.7164069,0.2770496,0.0004951731],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7221553,0.0001857398,0.004097552,0.09179469,0.0002284293,0.001098974,0.00005782541,0.0000623894,0.1803191],"genre_scores_gemma":[0.9899427,0.000002111924,0.000921772,0.001321825,0.0001115287,0.00001898903,0.000001319021,0.00002174709,0.007658065],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2677873,"threshold_uncertainty_score":0.999204,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0203957547546654,"score_gpt":0.2312659383040654,"score_spread":0.2108701835494,"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."}}