{"id":"W2006044701","doi":"10.1016/j.amc.2010.04.010","title":"A family of p-adic twisted interpolation functions associated with the modified Bernoulli numbers","year":2010,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Akdeniz Üniversitesi","keywords":"Mathematics; Bernoulli number; Bernoulli's principle; Interpolation (computer graphics); Construct (python library); Bernoulli polynomials; Pure mathematics; Discrete mathematics; Orthogonal polynomials; Difference polynomials; Computer science; Physics; Motion (physics)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003697403,0.0001863049,0.0003131418,0.0000777402,0.000163804,0.00006034237,0.0001225381,0.00009476323,0.00001520881],"category_scores_gemma":[0.0001945769,0.0001282178,0.00004795377,0.0002640751,0.0002418638,0.00009541847,0.00005340887,0.0002414848,0.000006213465],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000177306,"about_ca_system_score_gemma":0.0000258476,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009210609,"about_ca_topic_score_gemma":0.00008253891,"domain_scores_codex":[0.9988769,0.0000155837,0.0004286158,0.0001828893,0.000326105,0.0001699205],"domain_scores_gemma":[0.9978671,0.001217622,0.0004624178,0.0002391099,0.0001634858,0.00005026984],"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":[0.0000269011,0.0003177781,0.00001360516,0.0002596474,0.0001295316,6.998353e-7,0.003480398,0.0001669635,0.01248111,0.9813205,0.0004760967,0.00132675],"study_design_scores_gemma":[0.0006529291,0.00007480149,0.0003106254,0.0001014,0.0001937392,0.000009476976,0.002947082,0.06422329,0.0003658922,0.930899,0.00001816968,0.000203643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5303147,0.000006804724,0.459149,0.00006927439,0.00004426593,0.0004112491,0.000007281558,0.00008174393,0.009915682],"genre_scores_gemma":[0.9359004,0.000002018051,0.06365496,0.00002524728,0.00002162732,0.00006979705,0.00001886226,0.00003550957,0.00027151],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4055858,"threshold_uncertainty_score":0.5228568,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02881004352669147,"score_gpt":0.2776333760818659,"score_spread":0.2488233325551745,"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."}}