{"id":"W21679978","doi":"10.1016/j.juro.2011.03.179","title":"A Helly Theorem For Intersections Of Sets Starshaped Via Staircase n-Paths.","year":2006,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001072149,0.0005090359,0.0007318172,0.001822824,0.002919487,0.003404635,0.001451795,0.001207121,0.01945622],"category_scores_gemma":[0.006249309,0.0007738906,0.001221493,0.001789647,0.003117361,0.00886408,0.005420479,0.003718635,0.002263147],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001573277,"about_ca_system_score_gemma":0.0007788262,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001428699,"about_ca_topic_score_gemma":0.001511041,"domain_scores_codex":[0.9990512,0.0001604867,0.00006190519,0.0002326219,0.0003372011,0.0001566405],"domain_scores_gemma":[0.9958804,0.002607543,0.0002572158,0.0005072935,0.0004459404,0.0003016918],"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":[0.00005416188,0.00001608038,0.0004053523,0.00006291876,0.00001369022,0.00007801988,0.0002780435,0.001123203,0.0005729794,0.9849828,0.003802404,0.008610439],"study_design_scores_gemma":[0.00002008255,0.00002285908,0.0002971232,0.00002585483,0.00002447646,0.0001984357,0.0001968229,0.003725335,0.0009863887,0.9824285,0.01205999,0.00001428942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.164377,0.001597122,0.6150063,0.003188761,0.0004869293,0.0001561367,0.0016778,0.0008699847,0.21264],"genre_scores_gemma":[0.7882262,0.00138156,0.1284883,0.001255316,0.000420598,0.0002920195,0.001724929,0.0004517925,0.07775928],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01945622,"threshold_uncertainty_score":0.0650875,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01026889858125664,"score_gpt":0.2439167147636024,"score_spread":0.2336478161823458,"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."}}