{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000151823,0.00008852771,0.0001302164,0.0002704312,0.0001055987,0.0001397764,0.0001820841,0.0000240118,0.00008775693],"category_scores_gemma":[0.0000492726,0.00005742564,0.0001042474,0.0008719062,0.00002554971,0.0003263011,0.00007089856,0.00002397022,0.00002702502],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001690126,"about_ca_system_score_gemma":0.00004148422,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004926273,"about_ca_topic_score_gemma":0.00009034319,"domain_scores_codex":[0.9991878,0.0000443352,0.000131252,0.0002719183,0.0002384745,0.0001262457],"domain_scores_gemma":[0.9994023,0.0001672717,0.00004952553,0.0002399362,0.00005310839,0.0000878158],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00001685882,0.00002266255,0.02113851,0.000006601794,0.000953778,0.00000857085,0.0009865557,0.001797675,0.001493436,0.7234993,0.002886932,0.2471891],"study_design_scores_gemma":[0.001858957,0.0007411636,0.5502301,0.00009027089,0.001465527,0.00001545927,0.0003208507,0.129926,0.01256196,0.1768681,0.1239724,0.001949137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07649968,0.0002467395,0.9191919,0.002441546,0.00006376874,0.00002840622,0.000007657814,0.00004638658,0.001473898],"genre_scores_gemma":[0.9844557,0.00005267086,0.009178972,0.0002598563,0.00009011874,0.000003492129,0.00001087423,0.000002784147,0.005945534],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.910013,"threshold_uncertainty_score":0.234175,"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."}}