{"id":"W2100953481","doi":"10.4153/cjm-2008-027-2","title":"Polarization of Separating Invariants","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal Military College of Canada","funders":"Natural Sciences and Engineering Research Council of Canada; Queen's University; University of Cambridge; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Mathematics; Polarization (electrochemistry); Pure mathematics; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009925838,0.0004239757,0.0005203724,0.001963782,0.001224802,0.002382913,0.0005717112,0.0004415769,0.009019325],"category_scores_gemma":[0.00286037,0.000395099,0.0006096479,0.0008957462,0.004473522,0.005091034,0.003484123,0.002001392,0.000845297],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008925611,"about_ca_system_score_gemma":0.0004237577,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003963418,"about_ca_topic_score_gemma":0.000215927,"domain_scores_codex":[0.9986246,0.0001504954,0.00005051186,0.000239044,0.000487422,0.0004480259],"domain_scores_gemma":[0.9974024,0.0007828767,0.000456319,0.000530382,0.000402916,0.0004250745],"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":[0.00007793343,0.00003465932,0.001470986,0.00004592709,0.0000146108,0.00009378145,0.0002834808,0.001641775,0.005772511,0.9766947,0.0009489954,0.01292068],"study_design_scores_gemma":[0.00002294982,0.00008410338,0.001893654,0.00002537314,0.00002925543,0.0003283714,0.0002131647,0.008337256,0.01220089,0.9686549,0.008177068,0.00003288423],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7893888,0.0004430614,0.1262602,0.0007046693,0.0001833784,0.00004955207,0.0002490607,0.0002884018,0.08243281],"genre_scores_gemma":[0.9917188,0.0001302922,0.002642924,0.00006796969,0.0001121195,0.00001610583,0.0001100261,0.00003803051,0.005163861],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009019325,"threshold_uncertainty_score":0.03017259,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05729235731648134,"score_gpt":0.2882632586221762,"score_spread":0.2309709013056948,"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."}}