{"id":"W2964134635","doi":"10.1142/s021953051250008x","title":"REMOVABLE SETS FOR HÖLDER CONTINUOUS p(x)-HARMONIC FUNCTIONS","year":2012,"lang":"en","type":"article","venue":"Analysis and Applications","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Hausdorff measure; Hölder condition; Bounded function; Hausdorff space; Harmonic function; Domain (mathematical analysis); Open set; Zero (linguistics); Mathematical analysis; Measure (data warehouse); Harmonic; Combinatorics; Compact space; Continuous function (set theory); Hausdorff dimension; Discrete mathematics; Function (biology); Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002165858,0.001294098,0.001307001,0.002500437,0.001962523,0.003640944,0.002739398,0.00168889,0.003693909],"category_scores_gemma":[0.009162863,0.0007476324,0.002109006,0.0006696823,0.00452436,0.00515209,0.006355655,0.003710587,0.0004655167],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001378823,"about_ca_system_score_gemma":0.0004978813,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004979631,"about_ca_topic_score_gemma":0.0003492338,"domain_scores_codex":[0.9980459,0.0002436421,0.0001339675,0.0004835584,0.0007552164,0.0003375981],"domain_scores_gemma":[0.9932762,0.003202761,0.001158922,0.0006994834,0.0006688542,0.0009936513],"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":[0.0007174111,0.000186169,0.005603326,0.0004493029,0.0002048025,0.004844583,0.002149784,0.01466725,0.03424601,0.9218839,0.001211193,0.01383626],"study_design_scores_gemma":[0.0002324341,0.0006848403,0.009719671,0.000280922,0.0002220982,0.004847361,0.002663769,0.1571896,0.03458417,0.7760025,0.01334864,0.0002239364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7200989,0.001338897,0.2539832,0.0006149946,0.0002033982,0.0000877154,0.0003227053,0.000158938,0.0231912],"genre_scores_gemma":[0.9745531,0.0005864591,0.01683575,0.0001094464,0.0001464455,0.0001610013,0.0004594795,0.00006616271,0.007082148],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003693909,"threshold_uncertainty_score":0.01235735,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01967470607784345,"score_gpt":0.2784700787934733,"score_spread":0.2587953727156299,"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."}}