{"id":"W2793722726","doi":"10.1134/s207004661801003x","title":"On Integrable Delta Functions on the Levi-Civita Field","year":2018,"lang":"en","type":"article","venue":"P-Adic Numbers Ultrametric Analysis and Applications","topic":"Mathematical and Theoretical Analysis","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Integrable system; Dirac delta function; Lebesgue integration; Context (archaeology); Field (mathematics); Mathematics; Dirac (video compression format); Measure (data warehouse); Delta; Lebesgue measure; Pure mathematics; Field theory (psychology); Mathematical analysis; Mathematical physics; Physics; Computer science; Quantum mechanics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005960753,0.0002178195,0.0004208056,0.0004720727,0.0006031404,0.0001084712,0.0003090418,0.000103355,0.00419411],"category_scores_gemma":[0.001625888,0.0001269552,0.0003794217,0.005499215,0.0003546362,0.00003759686,0.00004266269,0.0002904685,0.0004533329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002922103,"about_ca_system_score_gemma":0.00001321193,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000148973,"about_ca_topic_score_gemma":0.0001062844,"domain_scores_codex":[0.9983827,0.00009380154,0.0004276097,0.000445455,0.0003660363,0.00028442],"domain_scores_gemma":[0.9925458,0.006162758,0.0001516824,0.0008186228,0.0001424755,0.0001786901],"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":[0.00000941469,0.000348085,0.0003063871,0.00001348041,0.0007948378,2.529105e-7,0.00006690154,0.000005167649,0.000009969476,0.98228,0.007602384,0.008563131],"study_design_scores_gemma":[0.0001456186,0.0001808058,0.0001605482,0.00002372851,0.002908585,0.000001977545,0.0004344505,0.004830509,0.0004897636,0.979933,0.01063211,0.0002588568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05563077,0.00005961216,0.7679592,0.005943282,0.00003221097,0.0005636844,0.00005939032,0.0001378498,0.169614],"genre_scores_gemma":[0.9927043,0.00003397358,0.001636598,0.001152335,0.0001222927,0.0002420745,0.00001774988,0.000016257,0.004074401],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9370735,"threshold_uncertainty_score":0.9967162,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02208642414476406,"score_gpt":0.2892511794849064,"score_spread":0.2671647553401423,"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."}}