{"id":"W4400497258","doi":"10.26493/1855-3974.3130.d46","title":"On optimal λ-separable packings in the plane","year":2024,"lang":"en","type":"article","venue":"Ars Mathematica Contemporanea","topic":"Optimization and Packing Problems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Nemzeti Kutatási Fejlesztési és Innovációs Hivatal","keywords":"Mathematics; Separable space; Combinatorics; Plane (geometry); Geometry; Mathematical analysis","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":[0.00153262,0.001001671,0.001299289,0.00212277,0.001220123,0.002595574,0.001252498,0.0006412355,0.003302286],"category_scores_gemma":[0.01076493,0.0009582657,0.000558046,0.002071255,0.002341317,0.003917342,0.002375418,0.00115929,0.000596008],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002263303,"about_ca_system_score_gemma":0.0005909894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002897649,"about_ca_topic_score_gemma":0.001373627,"domain_scores_codex":[0.9985378,0.0002741728,0.00009565349,0.0002014108,0.0004935454,0.000397371],"domain_scores_gemma":[0.9955721,0.002297094,0.0007847607,0.0004939343,0.0004067882,0.0004452798],"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":[0.000968174,0.000215603,0.003542943,0.0003361909,0.00005845633,0.0003161995,0.0007625696,0.214335,0.01326159,0.7046664,0.00407195,0.05746481],"study_design_scores_gemma":[0.0000653086,0.0002256355,0.002462493,0.0000954345,0.00002445096,0.0002520965,0.0005407906,0.6042941,0.008296385,0.3792673,0.004416351,0.00005959087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6597965,0.002557047,0.3097714,0.0003781943,0.0000736207,0.0001005532,0.0004585008,0.0003452103,0.02651895],"genre_scores_gemma":[0.9520732,0.001685229,0.04325757,0.00009139734,0.00007550344,0.0001084476,0.0004068821,0.00009843055,0.002203365],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003302286,"threshold_uncertainty_score":0.0164215,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0178206220213836,"score_gpt":0.2376500779280692,"score_spread":0.2198294559066856,"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."}}