{"id":"W4225562560","doi":"10.1007/s13366-022-00655-x","title":"Degenerations of Pascal lines","year":2022,"lang":"de","type":"article","venue":"Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University; University of Manitoba","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences","keywords":"Conic section; Mathematics; Pascal (unit); Invertible matrix; Combinatorics; Pure mathematics; Geometry; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002451599,0.0008830287,0.001651562,0.003073382,0.002605492,0.0003393033,0.001086889,0.0004014474,0.003152996],"category_scores_gemma":[0.00431686,0.0009664935,0.0006079126,0.01037179,0.0003927908,0.0002520511,0.001725583,0.001052924,0.0003238773],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003646676,"about_ca_system_score_gemma":0.0006100925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001049362,"about_ca_topic_score_gemma":0.00005033181,"domain_scores_codex":[0.9931265,0.0004149481,0.002395586,0.001248935,0.001469902,0.001344122],"domain_scores_gemma":[0.9922304,0.002725159,0.0009825078,0.001787084,0.001311477,0.0009634246],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001311184,0.004052456,0.001243233,0.0007131026,0.002246513,0.00002568429,0.001501268,0.0003928972,0.001887156,0.885679,0.09272505,0.009402495],"study_design_scores_gemma":[0.005660332,0.002095459,0.002898071,0.0003085712,0.005363326,0.0001179724,0.002685264,0.004402056,0.01159797,0.2010091,0.7605895,0.003272444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7742674,0.04310576,0.1319015,0.01461399,0.001984696,0.004891249,0.0279941,0.0003671067,0.0008741909],"genre_scores_gemma":[0.9818958,0.001059444,0.008164383,0.0007986501,0.001034018,0.001219975,0.001284385,0.000166334,0.004376987],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.68467,"threshold_uncertainty_score":0.9992785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01741735709119948,"score_gpt":0.3078103291423691,"score_spread":0.2903929720511696,"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."}}