{"id":"W605070587","doi":"10.1007/978-3-319-10139-2_3","title":"The Compact-Open Topologies for the Spaces of Finitely Differentiable, Lipschitz, and Smooth Vector Fields","year":2014,"lang":"en","type":"book-chapter","venue":"SpringerBriefs in mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Differentiable function; Lipschitz continuity; Mathematics; Pure mathematics; Network topology; Topology (electrical circuits); Computer science; Combinatorics; Computer network","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":[0.001535126,0.0004465889,0.001147544,0.0001558297,0.0002715917,0.0002663199,0.001247121,0.0003801321,0.0001122363],"category_scores_gemma":[0.001775081,0.0002419019,0.0002911192,0.0001118374,0.0003494826,0.0000488375,0.0004897851,0.0005339069,0.000005321513],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002955955,"about_ca_system_score_gemma":0.00004913844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005242207,"about_ca_topic_score_gemma":0.0004545613,"domain_scores_codex":[0.9979654,0.00004044364,0.0009152585,0.0003319173,0.0004009695,0.0003460172],"domain_scores_gemma":[0.9882771,0.009485561,0.0009465923,0.001090571,0.0001462956,0.00005390734],"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":[0.00002535788,0.00005111938,0.00005555743,0.0008797823,0.000371146,9.871815e-7,0.000509533,0.0000118738,0.000003419298,0.9863468,0.009558788,0.002185632],"study_design_scores_gemma":[0.0004413486,0.0001298171,0.0002003078,0.0006329385,0.0005560378,0.000003351014,0.0005027608,0.001616083,0.00005620703,0.8588187,0.1366486,0.0003939352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.01773575,0.03545308,0.1425832,0.008806238,0.002331884,0.01298476,0.0003707614,0.000326355,0.779408],"genre_scores_gemma":[0.1990407,0.008635381,0.037351,0.0002445038,0.000729221,0.0002240374,0.00002385932,0.0003573348,0.7533939],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.181305,"threshold_uncertainty_score":0.9864473,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0667839357616936,"score_gpt":0.3046071940955619,"score_spread":0.2378232583338682,"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."}}