{"id":"W2117350193","doi":"10.1016/j.jpaa.2014.12.008","title":"Plane curves containing a star configuration","year":2014,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Commutative Algebra and Its Applications","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada; Università di Catania; Politecnico di Torino","keywords":"Star (game theory); Mathematics; Dimension (graph theory); Integer (computer science); Pairwise comparison; Combinatorics; Plane (geometry); Degree (music); Set (abstract data type); Plane curve; Geometry; Mathematical analysis; Physics; Statistics; Computer science","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":[0.0004939966,0.001631098,0.001563236,0.004468711,0.003743277,0.004519083,0.001354309,0.00250774,0.01474515],"category_scores_gemma":[0.001763364,0.0008061209,0.001077404,0.003597046,0.002579033,0.004700815,0.003519155,0.003569462,0.003433065],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00152647,"about_ca_system_score_gemma":0.001018568,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001367701,"about_ca_topic_score_gemma":0.0007756256,"domain_scores_codex":[0.9994507,0.0000674936,0.00003393665,0.0001305243,0.0001664246,0.0001507879],"domain_scores_gemma":[0.9989762,0.0001759826,0.0002190684,0.0001036209,0.0002352281,0.0002898268],"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":[0.0003235204,0.00006106087,0.0007340716,0.00005932559,0.00003451865,0.0009655729,0.0002499399,0.001365615,0.004928622,0.9797111,0.002686316,0.008880166],"study_design_scores_gemma":[0.0001612609,0.0001838788,0.001470287,0.00005819834,0.00006672244,0.002013108,0.0006784802,0.009457124,0.007919963,0.9612387,0.01667309,0.00007923297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7139511,0.0005428152,0.08159463,0.002026959,0.001014127,0.0001837058,0.00117254,0.001034941,0.1984792],"genre_scores_gemma":[0.9352217,0.0004923041,0.02253188,0.0002688481,0.0003215779,0.00007731801,0.0009560803,0.000440579,0.03968965],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01474515,"threshold_uncertainty_score":0.04932743,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0267345715273222,"score_gpt":0.2850876224056745,"score_spread":0.2583530508783523,"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."}}