{"id":"W2155081398","doi":"10.1016/j.comgeo.2004.08.003","title":"Geometric permutations of disjoint unit spheres","year":2004,"lang":"en","type":"article","venue":"Computational Geometry","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Institut national de recherche en informatique et en automatique (INRIA); McGill University","keywords":"Disjoint sets; Unit (ring theory); Combinatorics; SPHERES; Mathematics; Computer science; Physics; Mathematics education","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":[0.0004933148,0.0007247125,0.0009478235,0.001895306,0.00191321,0.002548415,0.00165016,0.001040454,0.014265],"category_scores_gemma":[0.003672617,0.0007001991,0.0008422486,0.001743755,0.00201238,0.002116545,0.003426664,0.001852304,0.003141536],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00077804,"about_ca_system_score_gemma":0.0007677953,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009914964,"about_ca_topic_score_gemma":0.001095232,"domain_scores_codex":[0.9986608,0.0003330618,0.0001023032,0.0002145448,0.0004525506,0.0002368558],"domain_scores_gemma":[0.9988042,0.0003489939,0.0001428915,0.0002871853,0.0002417245,0.000175081],"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":[0.0001229969,0.00003922472,0.0003032201,0.00004988264,0.00001190468,0.0001731511,0.0001956526,0.005647094,0.00297865,0.9488044,0.003728356,0.03794527],"study_design_scores_gemma":[0.00005380641,0.00007948547,0.0004795622,0.00003088791,0.00002013928,0.0004029751,0.0003241948,0.02896808,0.00597005,0.9254642,0.0381721,0.00003455253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2734839,0.0005430999,0.5797731,0.0006984029,0.001025505,0.0002813757,0.0005686933,0.0009343712,0.1426917],"genre_scores_gemma":[0.7292396,0.0006736838,0.2089269,0.0003452697,0.0002256573,0.0004470722,0.001570409,0.0009014267,0.05766988],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.014265,"threshold_uncertainty_score":0.04772121,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02211323465137453,"score_gpt":0.2633978648622475,"score_spread":0.2412846302108729,"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."}}