{"id":"W2086609809","doi":"10.1007/s00209-009-0604-x","title":"A note on singular time of mean curvature flow","year":2009,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Mean curvature flow; Submanifold; Sectional curvature; Scalar curvature; Infinity; Riemannian manifold; Curvature; Bounded function; Mathematical analysis; Mean curvature; Singularity; Manifold (fluid mechanics); Flow (mathematics); Ricci curvature; Riemann curvature tensor; Pure mathematics; Geometry","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001943736,0.001102624,0.002382512,0.0008551482,0.0002638025,0.0002302121,0.001077835,0.001033747,0.0031522],"category_scores_gemma":[0.001986954,0.000909409,0.001193563,0.002467644,0.000147309,0.0002954539,0.0001577631,0.0013108,0.004941897],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002358089,"about_ca_system_score_gemma":0.000161262,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008893606,"about_ca_topic_score_gemma":0.000003363706,"domain_scores_codex":[0.9938087,0.0003396633,0.001873625,0.00103337,0.00188763,0.001057052],"domain_scores_gemma":[0.99452,0.0009343413,0.001354486,0.002273017,0.0005179915,0.0004001498],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0005954722,0.01206085,0.00007672409,0.003694052,0.005380075,0.0003960859,0.02943105,0.001035648,0.01669567,0.5643589,0.272661,0.09361447],"study_design_scores_gemma":[0.009089627,0.006144185,0.001168263,0.01149428,0.01640295,0.0001422369,0.001054636,0.1567656,0.04280861,0.08850269,0.6591345,0.007292414],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1321696,0.08103599,0.2187034,0.01626523,0.005357232,0.009410381,0.001599564,0.00220479,0.5332538],"genre_scores_gemma":[0.8233171,0.0004454211,0.1578413,0.001638404,0.001960519,0.00002804752,0.0002610881,0.0003193998,0.01418883],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6911474,"threshold_uncertainty_score":0.9993356,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01412942193182657,"score_gpt":0.2611402276234008,"score_spread":0.2470108056915743,"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."}}