{"id":"W2891257351","doi":"10.5802/jtnb.1085","title":"A measure of transcendence for singular points on conics","year":2019,"lang":"en","type":"preprint","venue":"Journal de Théorie des Nombres de Bordeaux","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Conic section; Mathematics; Measure (data warehouse); Pure mathematics; Transcendental number; Singular point of a curve; Mathematical analysis; Point (geometry); Regular singular point; Parabola; Osculating circle; Combinatorics; Geometry; Singular integral","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003958452,0.0005012505,0.001078175,0.0002332431,0.0002454575,0.0001047238,0.0009383184,0.0006389596,0.0001024621],"category_scores_gemma":[0.003258329,0.000467015,0.0007972174,0.00008927366,0.0002455666,0.00009650925,0.00009914656,0.001541242,0.00001408055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006876762,"about_ca_system_score_gemma":0.001472623,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003240787,"about_ca_topic_score_gemma":0.000006692876,"domain_scores_codex":[0.9969955,0.0003798655,0.001024668,0.0003530319,0.0006279597,0.0006189803],"domain_scores_gemma":[0.995281,0.001855853,0.001159815,0.000810258,0.0006288971,0.0002641691],"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":[0.002690314,0.001946446,0.0002237137,0.01676396,0.001749745,0.0002250768,0.01878634,0.002958159,0.00293784,0.9324656,0.01304744,0.006205393],"study_design_scores_gemma":[0.0009697623,0.0004508476,0.0000267228,0.003699671,0.0004897125,0.0003352854,0.0002940474,0.001406623,0.002058273,0.9848924,0.004913585,0.0004630721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4244046,0.002673923,0.5487349,0.0007288961,0.002153357,0.00193407,0.0003514762,0.0001640651,0.01885473],"genre_scores_gemma":[0.830853,0.0004169084,0.1657427,0.0002591422,0.0005375943,0.00005069038,0.00001025359,0.0002149777,0.001914689],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4064484,"threshold_uncertainty_score":0.9997782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05557269656232729,"score_gpt":0.3248641229488661,"score_spread":0.2692914263865389,"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."}}