{"id":"W2014523799","doi":"10.1145/2582112.2582149","title":"On triple intersections of three families of unit circles","year":2014,"lang":"en","type":"article","venue":"","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conjecture; Combinatorics; Unit (ring theory); Plane (geometry); 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001240078,0.00003612807,0.0000695472,0.0001486773,0.00002826422,0.000008550549,0.0001671826,0.00001545862,0.00002149831],"category_scores_gemma":[0.00005519481,0.0000322126,0.00003302262,0.0003093079,0.00002083828,0.00009170503,0.00003993905,0.00002515245,0.000008155816],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003745387,"about_ca_system_score_gemma":0.00001757412,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004174528,"about_ca_topic_score_gemma":0.00009582509,"domain_scores_codex":[0.9995955,0.00002286971,0.0001303584,0.00009154955,0.0001138326,0.00004588913],"domain_scores_gemma":[0.999549,0.000135763,0.00004991952,0.000161257,0.00008749656,0.00001650874],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000005276083,0.00007058214,0.00040193,0.00001023593,0.000010371,5.421343e-8,0.0001808823,0.01057029,0.004312652,0.9021672,0.0004547275,0.08181583],"study_design_scores_gemma":[0.0007554304,0.0009150131,0.07446422,0.00004192986,0.000009346409,0.000004141674,0.0001244359,0.6153668,0.1254022,0.1796993,0.003020553,0.0001965452],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2516526,0.000005186154,0.7389544,0.00009469999,0.0001720638,0.00003045155,6.724654e-7,0.00001982605,0.009070087],"genre_scores_gemma":[0.9884739,0.000001509859,0.01118998,0.00006391399,0.00001829262,0.000001726687,0.000001757076,0.000001289189,0.000247607],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7368214,"threshold_uncertainty_score":0.1313592,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02307212533028219,"score_gpt":0.2441261538264158,"score_spread":0.2210540284961336,"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."}}