{"id":"W189469395","doi":"10.1023/a:1013978628115","title":"Realization and Smoothness Related to the Laplacian","year":2001,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Combinatorics","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":[0.002459953,0.0003274549,0.0004241062,0.0002499911,0.0005962867,0.0002851846,0.0006706849,0.0002963784,0.0007989304],"category_scores_gemma":[0.003331071,0.0002112191,0.0001058846,0.001393318,0.0002104124,0.0004593082,0.0002506502,0.0005188306,0.000350478],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007042283,"about_ca_system_score_gemma":0.00003978033,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004794531,"about_ca_topic_score_gemma":0.00001815903,"domain_scores_codex":[0.9969407,0.000200614,0.000925632,0.0005568983,0.0008330047,0.0005431668],"domain_scores_gemma":[0.99773,0.000714633,0.0003237229,0.0007491141,0.0001810844,0.0003014245],"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":[0.00001334864,0.0001422459,0.00008289135,0.0001278445,0.00003355342,0.000001846535,0.004196823,0.000001343273,0.0009414,0.9544092,0.03774836,0.002301194],"study_design_scores_gemma":[0.0003947868,0.00006963475,0.000481208,0.0002109925,0.0001117995,0.000127451,0.001056203,0.01614609,0.0009619513,0.9250242,0.05498571,0.0004299588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5030103,0.0001333849,0.2034343,0.1044865,0.000867564,0.004861773,0.00003077756,0.001262957,0.1819124],"genre_scores_gemma":[0.9239712,0.0000981726,0.04485225,0.002460171,0.0001455252,0.0003213098,0.00003230618,0.000123276,0.02799575],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4209609,"threshold_uncertainty_score":0.8747728,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03492366734578096,"score_gpt":0.3245902364899762,"score_spread":0.2896665691441953,"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."}}