{"id":"W2086113085","doi":"10.1002/mana.200610812","title":"Approximation by rational operators in <i>L<sup>p</sup></i> spaces","year":2009,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Converse; Pure mathematics; Type (biology); Equivalence (formal languages); Smoothness; Mathematical analysis; Algebra over a field; 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"],"consensus_categories":[],"category_scores_codex":[0.001257444,0.0003535564,0.0004939839,0.0002153198,0.000180902,0.0001728771,0.0003886092,0.0002081782,0.000417589],"category_scores_gemma":[0.0005844913,0.0003039129,0.0001040897,0.0006047645,0.0000831738,0.0008484852,0.00004130034,0.0003108663,0.0001670588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009176923,"about_ca_system_score_gemma":0.00006135812,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000892069,"about_ca_topic_score_gemma":0.000002935646,"domain_scores_codex":[0.9976283,0.000226089,0.0007108142,0.0004360426,0.0005679787,0.0004307733],"domain_scores_gemma":[0.9987811,0.0003052613,0.0002761724,0.0004195173,0.00009988492,0.0001180814],"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":[0.00006466052,0.0008443195,0.0002397131,0.0001896688,0.00005088042,0.00001423819,0.009047711,0.0005714338,0.007696259,0.9316986,0.04539941,0.004183154],"study_design_scores_gemma":[0.001547282,0.0001742311,0.0001034252,0.0002109004,0.00005186326,0.00005140178,0.002974196,0.04103539,0.01563708,0.9348078,0.002595702,0.0008107546],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8661078,0.0006108269,0.07135456,0.004418103,0.00007721098,0.00167523,0.0000609872,0.0005821212,0.05511311],"genre_scores_gemma":[0.9501686,0.00002385683,0.04607252,0.000572008,0.0001047642,0.0001198185,0.00007676992,0.00004300417,0.002818699],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08406072,"threshold_uncertainty_score":0.9999413,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02243347231864593,"score_gpt":0.2817856061592104,"score_spread":0.2593521338405645,"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."}}