{"id":"W2047081851","doi":"10.1016/j.jpaa.2009.12.022","title":"On the computation of the jdeg of blowup algebras","year":2010,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"National Science Foundation","keywords":"Normalization (sociology); Mathematics; Computation; Algebra over a field; Degree (music); Pure mathematics; Arithmetic; Algorithm","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":[],"consensus_categories":[],"category_scores_codex":[0.0005010518,0.000106987,0.0002499605,0.00005675695,0.0001124433,0.00001687206,0.0003090522,0.00006212939,0.00006326319],"category_scores_gemma":[0.0001974365,0.00005361892,0.0001175826,0.0002015717,0.000184726,0.00003943906,0.00006200335,0.0004286373,0.000002013978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005333162,"about_ca_system_score_gemma":0.00004658722,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001313521,"about_ca_topic_score_gemma":0.000008817078,"domain_scores_codex":[0.9990149,0.00004389146,0.0004803481,0.00007531617,0.0002940595,0.00009144548],"domain_scores_gemma":[0.9978708,0.0008938744,0.0007611708,0.0002283637,0.000205713,0.00004006702],"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":[0.00002365603,0.0001318912,0.0001180534,0.00003198718,0.00006273009,2.015836e-7,0.0008547364,0.000004246454,0.0397482,0.9534731,0.003268569,0.002282631],"study_design_scores_gemma":[0.0003897887,0.00008133267,0.004747259,0.0000490388,0.00009034023,0.00001896054,0.0004553987,0.00003502262,0.05588613,0.9379517,0.0002287494,0.00006630675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9934106,0.00003937955,0.001301416,0.002375116,0.00008228772,0.0002187929,0.000005242975,0.000004304572,0.002562877],"genre_scores_gemma":[0.9984221,0.00001063701,0.001250968,0.0001937532,0.00007926727,0.000004965876,3.620713e-7,0.00001170449,0.00002621765],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01613793,"threshold_uncertainty_score":0.2186516,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02186329201454165,"score_gpt":0.2809870092210639,"score_spread":0.2591237172065223,"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."}}