{"id":"W1964798934","doi":"10.1007/s00013-006-1615-z","title":"On the transversal Helly numbers of disjoint and overlapping disks","year":2006,"lang":"en","type":"article","venue":"Archiv der Mathematik","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Transversal (combinatorics); Mathematics; Disjoint sets; Infimum and supremum; Combinatorics; Unit (ring theory); Line (geometry); Natural number; Sequence (biology); Property (philosophy); Discrete mathematics; Geometry; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"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":[0.002671429,0.001125224,0.001084212,0.005086958,0.002179941,0.004128756,0.001787607,0.001366988,0.008523851],"category_scores_gemma":[0.01894986,0.0008981404,0.0008347836,0.001917405,0.005523253,0.008355123,0.004231031,0.003460393,0.0005337903],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001876564,"about_ca_system_score_gemma":0.0006612873,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001124516,"about_ca_topic_score_gemma":0.0009215992,"domain_scores_codex":[0.9990076,0.000298737,0.00006563884,0.0001672024,0.0002558144,0.0002050282],"domain_scores_gemma":[0.9887053,0.006948172,0.001418744,0.0005723782,0.0007789082,0.001576422],"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":[0.0001590685,0.0000167174,0.0005613837,0.00004957219,0.00001049422,0.00009646364,0.0004726394,0.00306865,0.0006305444,0.9904096,0.0006760031,0.003848828],"study_design_scores_gemma":[0.00004123808,0.00005036709,0.0007909719,0.00005219379,0.00001835735,0.0001618081,0.0005024229,0.01887228,0.0005894572,0.9763871,0.002500048,0.00003376215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.766422,0.002922763,0.1685386,0.001716699,0.0005398626,0.00006773997,0.0002799887,0.0001291588,0.05938317],"genre_scores_gemma":[0.9603308,0.001477839,0.02217213,0.000228301,0.0003599127,0.00008150857,0.0002198869,0.0001033137,0.01502621],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008523851,"threshold_uncertainty_score":0.0285151,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004575194522278252,"score_gpt":0.1866746345863865,"score_spread":0.1820994400641083,"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."}}