{"id":"W2059816886","doi":"10.1016/j.mcm.2006.02.004","title":"Chemical equation balancing: An integer programming approach","year":2006,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Advanced Control Systems Optimization","field":"Engineering","cited_by":25,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Solver; Polynomial; Mathematics; Integer programming; Integer (computer science); Computer science; Arithmetic; Algorithm; Mathematical optimization","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":[0.00009583056,0.0001275315,0.0001743844,0.00003353253,0.00003462796,0.00007933165,0.00006037435,0.00006432068,0.000001858258],"category_scores_gemma":[0.000001610497,0.0001140319,0.00002559792,0.00006267835,0.00001595053,0.0001785281,0.00001786385,0.00009011896,0.000004580867],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002356903,"about_ca_system_score_gemma":0.000002028278,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000026767,"about_ca_topic_score_gemma":9.94756e-8,"domain_scores_codex":[0.9992812,0.00001130691,0.0002476444,0.0001681508,0.0001119886,0.0001797431],"domain_scores_gemma":[0.9997548,0.00003115671,0.00002378847,0.0001125115,0.0000255933,0.00005217099],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00000154165,0.00003405835,0.000005186334,0.0001071133,0.000005489794,5.420442e-7,0.0001356338,0.956674,0.0002049202,0.03677917,0.000003695069,0.006048688],"study_design_scores_gemma":[0.0001552475,0.000008618108,8.474075e-7,0.00003547946,0.000008411248,0.00001150709,0.00001186615,0.9831953,0.0001249565,0.01627549,0.00003670723,0.0001355687],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0265843,0.00006936471,0.9720836,0.000005685418,0.00003416089,0.0001665353,3.559716e-7,0.0003384041,0.0007176422],"genre_scores_gemma":[0.5869166,7.766469e-7,0.4128643,0.00000499851,0.0001551416,0.00002007612,0.0000115761,0.00001695391,0.000009592498],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5603323,"threshold_uncertainty_score":0.4650086,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01476188120431537,"score_gpt":0.1879497302270624,"score_spread":0.1731878490227471,"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."}}