{"id":"W2395304930","doi":"","title":"The 2-color Rado Number of x + y + kz = 3w.","year":2009,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Arithmetic","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002202709,0.00009529542,0.0001340121,0.00001685989,0.00007653522,0.00001871127,0.0002041072,0.00005810594,0.00002195946],"category_scores_gemma":[0.00001754679,0.00007208857,0.00006658,0.0001594896,0.00003426946,0.0000564871,0.000009199672,0.0001009396,0.0000924469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000182603,"about_ca_system_score_gemma":0.000005682249,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003075785,"about_ca_topic_score_gemma":7.987031e-7,"domain_scores_codex":[0.9994091,0.000037367,0.000185956,0.00007510884,0.0001132948,0.0001791368],"domain_scores_gemma":[0.9995453,0.00008383837,0.00003016565,0.0002725791,0.00002760805,0.00004045824],"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":[0.000008734613,0.00002236489,0.0006679271,0.00001165107,0.00002600331,0.000002377189,0.0001747063,0.00006180241,0.001525513,0.9927962,0.003239273,0.001463422],"study_design_scores_gemma":[0.0006449212,0.00006884822,0.006520972,0.0000365531,0.00001718509,0.00001388648,0.0001577965,0.0007376275,0.009677175,0.9599377,0.02198688,0.0002004751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9640995,0.0003217885,0.000006567722,0.00006370609,0.002055176,0.0001048746,0.00000141081,0.0001299402,0.03321706],"genre_scores_gemma":[0.9996311,0.00002835409,0.00001380631,0.00001901361,0.000009440576,0.000006572554,9.379155e-7,0.00001174412,0.0002790216],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03553163,"threshold_uncertainty_score":0.2939686,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00460549175608964,"score_gpt":0.2079472702548609,"score_spread":0.2033417784987713,"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."}}