{"id":"W2103026222","doi":"10.1007/s10998-008-8121-4","title":"On the weighted Kneser-Poulsen conjecture","year":2008,"lang":"en","type":"article","venue":"Periodica Mathematica Hungarica","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Conjecture; Monotone polygon; Combinatorics; Ball (mathematics); Geometry","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":[0.001905864,0.0008129854,0.001306318,0.002763368,0.002215684,0.003097314,0.001696694,0.001887104,0.01234418],"category_scores_gemma":[0.007694985,0.000436748,0.001018153,0.002332313,0.003466675,0.007593228,0.003754989,0.003903676,0.00139764],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001329656,"about_ca_system_score_gemma":0.0006325702,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001795686,"about_ca_topic_score_gemma":0.001408121,"domain_scores_codex":[0.9989147,0.0002773075,0.00005054168,0.0002661956,0.0002584911,0.0002327224],"domain_scores_gemma":[0.99676,0.002044233,0.0002837398,0.0003372107,0.0003206008,0.0002543345],"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":[0.00009254315,0.00002184521,0.0004389304,0.00007176068,0.00001758365,0.00006000903,0.0001136067,0.001891605,0.0003301139,0.9894046,0.001902307,0.00565515],"study_design_scores_gemma":[0.00001227938,0.000008809824,0.0003430402,0.00001624593,0.00001048219,0.00004141033,0.00005050054,0.005548268,0.0001461648,0.9921827,0.001632295,0.000007899388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4970933,0.00632724,0.1636121,0.01714391,0.001250441,0.00005397913,0.0009401707,0.0003824282,0.3131963],"genre_scores_gemma":[0.9493734,0.002448504,0.01477858,0.001174805,0.001024045,0.0001125143,0.0005357535,0.0001337289,0.03041876],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01234418,"threshold_uncertainty_score":0.04129541,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07222024916115687,"score_gpt":0.292314873235342,"score_spread":0.2200946240741851,"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."}}