{"id":"W4391845623","doi":"10.1007/s00020-024-02755-w","title":"On the Real and Imaginary Parts of Powers of the Volterra Operator","year":2024,"lang":"en","type":"article","venue":"Integral Equations and Operator Theory","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; The Imaginary; Operator (biology); Mathematical analysis; Algebra over a field; Pure mathematics; Calculus (dental)","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":[0.0007889195,0.0001028107,0.00011309,0.0000525711,0.0001598456,0.0001262569,0.0003752292,0.00003104848,0.00005718868],"category_scores_gemma":[0.0001185851,0.0000483707,0.00005467763,0.0002323516,0.0003102462,0.0002059106,0.000154669,0.0001517717,0.000004424953],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008898044,"about_ca_system_score_gemma":0.00007663654,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002348742,"about_ca_topic_score_gemma":0.000002684926,"domain_scores_codex":[0.9991474,0.000251592,0.0001822746,0.0001882977,0.0001279692,0.0001024955],"domain_scores_gemma":[0.9988787,0.0006493946,0.0000330447,0.0003436521,0.0000585575,0.00003664924],"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":[0.000008445021,0.00001880763,0.00001918164,0.0000132071,0.0000185384,0.000001801566,0.001551086,0.00001466057,0.001210299,0.985547,0.0001560763,0.01144087],"study_design_scores_gemma":[0.0003762222,0.0004796734,0.0005945683,0.0005783151,0.00005668162,0.00003181431,0.002041148,0.1371475,0.02335292,0.8327945,0.002194505,0.0003521423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8579838,0.002782203,0.1194007,0.006926754,0.001259636,0.0005892577,0.00008896764,0.00009510068,0.01087359],"genre_scores_gemma":[0.9988838,0.00005109354,0.0003448169,0.0002704393,0.0000280728,0.00001323252,6.668411e-7,0.000005964842,0.0004018836],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1527525,"threshold_uncertainty_score":0.19725,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01098849186744714,"score_gpt":0.2498309369753441,"score_spread":0.238842445107897,"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."}}