{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002343619,0.001484373,0.001647433,0.001186173,0.0009932058,0.002958519,0.002935142,0.002327682,0.01520959],"category_scores_gemma":[0.004648897,0.001271702,0.001323662,0.001780418,0.0007063433,0.00295143,0.001715702,0.002102835,0.001156612],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008706569,"about_ca_system_score_gemma":0.001523662,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002687072,"about_ca_topic_score_gemma":0.002852884,"domain_scores_codex":[0.9991202,0.0003286386,0.00003368715,0.0001180162,0.0002633488,0.000136145],"domain_scores_gemma":[0.9987379,0.0008170384,0.0001274541,0.00007041662,0.0001854937,0.00006168814],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006517674,0.000123096,0.0002060815,0.0001358995,0.00003776298,0.00008521705,0.00005335092,0.8730977,0.00106242,0.08341943,0.003261844,0.03845209],"study_design_scores_gemma":[0.00001252822,0.00001781378,0.00002593079,0.000008900773,0.00001024387,0.00001043781,0.00001173719,0.9866067,0.0002773611,0.01152247,0.001490363,0.0000054959],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003974002,0.0001680444,0.9800148,0.0003748563,0.0001595153,0.00009289687,0.00008992039,0.0001580256,0.01496791],"genre_scores_gemma":[0.2368998,0.0006563212,0.7377766,0.000574281,0.0004270487,0.0005698418,0.0003564445,0.0005359676,0.02220367],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01520959,"threshold_uncertainty_score":0.05088115,"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."}}