{"id":"W2147065078","doi":"10.1515/advgeom.2009.036","title":"Positivity in power series rings","year":2009,"lang":"en","type":"article","venue":"Advances in Geometry","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Transversality; Extension (predicate logic); Invariant (physics); Formal power series; Power series; Series (stratigraphy); Algebra over a field; Pure mathematics; Representation (politics); Discrete mathematics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009468845,0.0003291314,0.0003901809,0.0007540959,0.0008223864,0.001598309,0.0004741528,0.0003433503,0.004409391],"category_scores_gemma":[0.002324414,0.0001941993,0.000374196,0.0006833392,0.002686972,0.002979148,0.001373741,0.001022191,0.0004555564],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005683718,"about_ca_system_score_gemma":0.0002809509,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002772942,"about_ca_topic_score_gemma":0.0001567139,"domain_scores_codex":[0.9993781,0.000205075,0.00002374586,0.0001008478,0.0001894346,0.000102876],"domain_scores_gemma":[0.99927,0.0002715608,0.0001057898,0.0001019699,0.0001325321,0.0001181327],"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":[0.00002422164,0.000008175666,0.000114623,0.00002114689,0.000002272852,0.00008317305,0.0002305945,0.0007561093,0.001787404,0.9921228,0.0004133093,0.00443626],"study_design_scores_gemma":[0.00001016027,0.0000261127,0.0001916116,0.00000808926,0.000003698084,0.0001717253,0.00008548171,0.004647498,0.000919855,0.9915524,0.0023743,0.000009025563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7287277,0.0007476088,0.149591,0.001236091,0.0003382793,0.00004629089,0.0001624,0.0002063636,0.1189442],"genre_scores_gemma":[0.9897382,0.0002125125,0.003841939,0.00007481301,0.0001189046,0.00001762746,0.00002838204,0.00002099519,0.005946566],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004409391,"threshold_uncertainty_score":0.0147509,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01233573250827173,"score_gpt":0.3235678671183861,"score_spread":0.3112321346101144,"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."}}