{"id":"W2012217367","doi":"10.1016/j.orl.2013.09.009","title":"Binary group facets with complete support and non-binary coefficients","year":2013,"lang":"en","type":"article","venue":"Operations Research Letters","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Kellogg's (Canada)","funders":"","keywords":"Binary number; Group (periodic table); Mathematics; Combinatorics; Binary data; Discrete mathematics; Arithmetic; Physics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005721162,0.0001466117,0.0001975542,0.0001504353,0.0006631847,0.0003122833,0.0002396695,0.00004670637,0.001064328],"category_scores_gemma":[0.000112409,0.0001090085,0.00002945748,0.0003307552,0.000363452,0.0002490311,0.0001671206,0.0002936473,0.0004307266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004568206,"about_ca_system_score_gemma":0.00003511705,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002618178,"about_ca_topic_score_gemma":0.00004377905,"domain_scores_codex":[0.9982684,0.0001392303,0.0002866737,0.0003078302,0.0005380565,0.0004598502],"domain_scores_gemma":[0.9986262,0.0004635169,0.00002100543,0.0004817568,0.0002135615,0.0001940098],"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":[0.00003014637,0.001428037,0.0004434589,0.0006147521,0.0001483173,0.00003721023,0.004680483,0.0008160676,0.255119,0.3938431,0.3419374,0.000902052],"study_design_scores_gemma":[0.01005582,0.005521918,0.01940327,0.00137119,0.000234415,0.0003319156,0.02716986,0.7617998,0.004959394,0.05035827,0.1140754,0.004718821],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.963032,0.000007298339,0.01665983,0.01516524,0.00001569327,0.001471319,0.00004385349,0.00005498318,0.003549788],"genre_scores_gemma":[0.9739289,0.000009587608,0.02213721,0.0008324581,0.00004912444,0.0009509862,0.00007018955,0.0000343785,0.001987161],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7609837,"threshold_uncertainty_score":0.9998488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1354584550971923,"score_gpt":0.3894642043212603,"score_spread":0.254005749224068,"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."}}