{"id":"W1496438519","doi":"10.46298/dmtcs.464","title":"Centerpoint theorems for wedges","year":2009,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Universitat Politècnica de Catalunya","keywords":"Mathematics; Combinatorics; Point (geometry); Set (abstract data type); Discrete mathematics; Geometry; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003188536,0.001357092,0.001686877,0.003489998,0.00135359,0.003014316,0.002775352,0.001184662,0.01690257],"category_scores_gemma":[0.01431552,0.0007510196,0.001996299,0.002620222,0.00320569,0.009319257,0.005364093,0.004397116,0.003809469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001462863,"about_ca_system_score_gemma":0.0007145008,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00149476,"about_ca_topic_score_gemma":0.0006931277,"domain_scores_codex":[0.997349,0.0004166803,0.0001703205,0.0006368169,0.001044623,0.0003824848],"domain_scores_gemma":[0.9897126,0.006229021,0.0007457057,0.001488374,0.001369503,0.0004547567],"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":[0.0001331905,0.00004874669,0.0005464728,0.0002226817,0.00003357389,0.0001660489,0.0002235247,0.0119583,0.003247091,0.9310097,0.007949378,0.04446135],"study_design_scores_gemma":[0.00007357942,0.0001142671,0.000318135,0.00007991893,0.00004182972,0.0004387914,0.0001589225,0.05870317,0.006826747,0.9045645,0.02864654,0.0000336639],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02410224,0.001768571,0.9421299,0.0006169617,0.0001505803,0.0001110199,0.0004455601,0.001030171,0.02964491],"genre_scores_gemma":[0.5435796,0.00403747,0.4141826,0.001667881,0.0008186897,0.0007599294,0.002314149,0.001623449,0.03101621],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01690257,"threshold_uncertainty_score":0.05654472,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01348598972880071,"score_gpt":0.2728398253834265,"score_spread":0.2593538356546258,"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."}}