{"id":"W2962703720","doi":"10.1007/s12220-019-00180-9","title":"Prescribing Capacitary Curvature Measures on Planar Convex Domains","year":2019,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Omega; Mathematics; Antipodal point; Domain (mathematical analysis); Regular polygon; Bounded function; Convex set; Borel measure; Physics; Mathematical analysis; Geometry; Probability measure","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":[0.0009176845,0.000733547,0.0008217496,0.002396816,0.001288677,0.003999704,0.00134563,0.001869553,0.006225501],"category_scores_gemma":[0.006290486,0.0009064089,0.0006575173,0.001102372,0.003379271,0.004128842,0.003809701,0.002485812,0.0006011191],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00231733,"about_ca_system_score_gemma":0.0006309135,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001291177,"about_ca_topic_score_gemma":0.001471605,"domain_scores_codex":[0.9991688,0.000165548,0.00004047237,0.0001351,0.0003147016,0.000175489],"domain_scores_gemma":[0.9970326,0.001075856,0.0005031032,0.0003775489,0.000484519,0.0005263056],"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":[0.00002732659,0.00001332107,0.0002496839,0.00002087723,0.000005149033,0.0001133249,0.0001215322,0.005106638,0.001895621,0.990178,0.0003927514,0.001875665],"study_design_scores_gemma":[0.00001661744,0.0000372274,0.0006045704,0.00001927878,0.000007279375,0.0002868233,0.0001720921,0.06798331,0.001780894,0.9271642,0.001898586,0.00002901865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6537323,0.0006437956,0.2569142,0.002063941,0.0003244062,0.00008701084,0.0003676123,0.0004156478,0.08545107],"genre_scores_gemma":[0.9668514,0.00028906,0.01638591,0.0001743417,0.0001275363,0.00003504549,0.000137593,0.0002112698,0.01578771],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006225501,"threshold_uncertainty_score":0.02082634,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05199829781098114,"score_gpt":0.3059379634060885,"score_spread":0.2539396655951074,"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."}}