{"id":"W2246156274","doi":"10.5802/jtnb.962","title":"On the equivalence of types","year":2017,"lang":"fr","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Monic polynomial; Equivalence (formal languages); Mathematics; ENCODE; Prime (order theory); Combinatorics; Type (biology); Pure mathematics; Discrete mathematics; Polynomial; 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":[0.006234027,0.000925873,0.001362415,0.00348979,0.00450694,0.008530394,0.002412796,0.002471448,0.01915053],"category_scores_gemma":[0.01577837,0.001196447,0.002582562,0.002642697,0.01229172,0.02609369,0.01059136,0.007107505,0.002733978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004484389,"about_ca_system_score_gemma":0.001656152,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003754691,"about_ca_topic_score_gemma":0.001825632,"domain_scores_codex":[0.9896449,0.002917305,0.0009057337,0.002457355,0.002524869,0.001549833],"domain_scores_gemma":[0.9882934,0.004986018,0.0006497027,0.002944611,0.002341029,0.0007851521],"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":[0.00001902084,0.00000790002,0.0001068707,0.00001578782,0.000003848165,0.00003176133,0.0002881628,0.0001227518,0.00008647451,0.994974,0.00101017,0.003333171],"study_design_scores_gemma":[0.00001349495,0.0000127698,0.0001345377,0.00002318112,0.00000610844,0.000057236,0.0001530715,0.0005878024,0.0002281143,0.9849371,0.01383842,0.000008181959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.08415004,0.002937557,0.4425654,0.007831372,0.002378119,0.0001966356,0.00178605,0.001736332,0.4564185],"genre_scores_gemma":[0.8423365,0.002495976,0.07384116,0.003422071,0.002376627,0.0004028247,0.002913103,0.001422397,0.0707894],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01915053,"threshold_uncertainty_score":0.06406486,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04199909229561782,"score_gpt":0.3176093707306623,"score_spread":0.2756102784350445,"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."}}