{"id":"W2295570425","doi":"10.19086/da990","title":"New bounds on curve tangencies and orthogonalities","year":2016,"lang":"en","type":"article","venue":"Discrete Analysis","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Combinatorics; Mathematics; Discrete geometry; Incidence (geometry); Plane (geometry); Discrete mathematics; Geometry","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":[0.002116731,0.002012448,0.001983222,0.007043187,0.002954038,0.006315337,0.002194425,0.00187697,0.02415512],"category_scores_gemma":[0.01579787,0.001236419,0.001703081,0.005314834,0.00595318,0.0235038,0.007810237,0.008989302,0.002837192],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002694967,"about_ca_system_score_gemma":0.0006462886,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001398845,"about_ca_topic_score_gemma":0.001435538,"domain_scores_codex":[0.9975374,0.0004568777,0.0001208649,0.0005842473,0.000881266,0.0004193569],"domain_scores_gemma":[0.9876794,0.006854071,0.001547277,0.001189463,0.00109211,0.001637652],"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":[0.0000703231,0.00005504909,0.001481779,0.0001128753,0.00002217031,0.00009483552,0.0002628841,0.00331667,0.00055707,0.9706116,0.005966924,0.01744771],"study_design_scores_gemma":[0.00001041268,0.00002825805,0.0007798856,0.00004971977,0.00002413377,0.0001629628,0.0001182499,0.01180159,0.0002448112,0.9776909,0.009067602,0.00002152839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.2826852,0.02139053,0.3228607,0.01076843,0.001751951,0.0001324999,0.001646781,0.000693915,0.35807],"genre_scores_gemma":[0.8622561,0.01309266,0.05480008,0.001412326,0.004472382,0.0003104202,0.00226119,0.0007692272,0.0606256],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.02415512,"threshold_uncertainty_score":0.08080691,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0123268489345744,"score_gpt":0.2466337477394108,"score_spread":0.2343068988048364,"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."}}