{"id":"W2795340484","doi":"10.1112/plms.12268","title":"Projective duals to algebraic and tropical hypersurfaces","year":2019,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Dual polyhedron; Algebraic curve; Projective variety; Projective test; Duality (order theory); Variety (cybernetics); Algebraic number; Real projective plane; Transformation (genetics)","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":[0.000378913,0.0003746093,0.000302077,0.001907543,0.00121,0.002213915,0.0004867577,0.000415059,0.006925679],"category_scores_gemma":[0.001434624,0.0002681966,0.000460562,0.0009261594,0.002981546,0.003440303,0.002210547,0.001772595,0.0005007486],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009467386,"about_ca_system_score_gemma":0.0002639178,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001001349,"about_ca_topic_score_gemma":0.0007100165,"domain_scores_codex":[0.999554,0.00007556959,0.00001898871,0.00007975167,0.000152717,0.0001189949],"domain_scores_gemma":[0.9994503,0.0000776513,0.0001203748,0.00007155292,0.0001014272,0.0001787736],"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":[0.00001460645,0.000009939552,0.000410444,0.00001391506,0.000003289321,0.0001473632,0.000340268,0.0009655004,0.001340732,0.9940715,0.0003048642,0.002377409],"study_design_scores_gemma":[0.00003066311,0.00007174812,0.002343331,0.00002970661,0.00001411996,0.0008822153,0.001011492,0.01663688,0.002841441,0.9556092,0.02049398,0.00003516572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8292153,0.0005343652,0.06516217,0.0009810406,0.0001254774,0.00005660913,0.0003070217,0.0001683319,0.1034497],"genre_scores_gemma":[0.9849304,0.0002277808,0.005962065,0.00005944261,0.0001386882,0.00001802925,0.0001354165,0.00005524968,0.008472947],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006925679,"threshold_uncertainty_score":0.02316868,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008191380799601935,"score_gpt":0.2201550046332571,"score_spread":0.2119636238336551,"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."}}