{"id":"W188107640","doi":"","title":"Unitary Analogues Of Some Formulae Of Ingham.","year":2007,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Mathematics and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Unitary state; Mathematics; Pure mathematics; Algebra over a field; Law","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005220419,0.00008484425,0.0002389937,0.00009261879,0.0000334618,0.000003191658,0.0001902313,0.00005765346,0.00002438652],"category_scores_gemma":[0.0001554264,0.00007775162,0.00006894562,0.0002144738,0.0000562053,0.00005812894,0.00005572099,0.00007011925,0.000005473635],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001403068,"about_ca_system_score_gemma":0.00002136645,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001980047,"about_ca_topic_score_gemma":0.000006314529,"domain_scores_codex":[0.9991394,0.00001122815,0.0004361109,0.00008774872,0.0001837462,0.0001417974],"domain_scores_gemma":[0.998789,0.0004332676,0.0002396655,0.0003671968,0.0001246795,0.00004621097],"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":[0.000003831873,0.0002706818,0.0004128708,0.0001675028,0.00002763228,7.507086e-7,0.0003885067,2.814589e-7,0.002367511,0.9936076,0.002555374,0.0001974731],"study_design_scores_gemma":[0.000269276,0.00004867699,0.0005293749,0.00004714075,0.0000260151,0.000001222449,0.000170149,0.00006035805,0.03018567,0.9681594,0.0004289514,0.00007376439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9924306,0.00006241723,0.000490044,0.00004097073,0.00009984231,0.0001700607,0.000009346827,0.00002832979,0.006668443],"genre_scores_gemma":[0.992187,0.00001012962,0.007631157,0.00001388636,0.00000530748,0.00000518109,0.000005963526,0.00001439287,0.0001270109],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02781816,"threshold_uncertainty_score":0.3170619,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03781253770959368,"score_gpt":0.3139372653186454,"score_spread":0.2761247276090517,"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."}}