{"id":"W2011006000","doi":"10.1007/s10665-006-9117-3","title":"Thermal-stress reduction for a Czochralski grown single crystal","year":2006,"lang":"en","type":"article","venue":"Journal of Engineering Mathematics","topic":"Solidification and crystal growth phenomena","field":"Materials Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"von Mises yield criterion; Reduction (mathematics); Lagrange multiplier; Stress (linguistics); Stress reduction; Optimal control; Mathematics; Thermal; Maximum principle; Crystal (programming language); Thermal shock; Materials science; Mathematical analysis; Control theory (sociology); Mathematical optimization; Geometry; Thermodynamics; Control (management); Physics; Computer science; Composite material; Finite element method","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":[0.0003128096,0.0001035203,0.0001940531,0.00009313548,0.00003918467,0.0000696073,0.0001540195,0.00004205104,0.00005308543],"category_scores_gemma":[0.00009176077,0.00008698774,0.00009503104,0.00008633913,0.00002065051,0.0001853408,0.0000127317,0.00006398466,0.000006078724],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005817665,"about_ca_system_score_gemma":0.00001907808,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001127812,"about_ca_topic_score_gemma":1.417919e-7,"domain_scores_codex":[0.9990792,0.000007928861,0.0004842045,0.00007235041,0.0001911602,0.0001651723],"domain_scores_gemma":[0.9992726,0.00007472265,0.0003266344,0.0001213982,0.0001544138,0.00005025024],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000008298721,0.0001569004,0.000002773843,0.0001701038,0.000007212367,0.000001389018,0.0002983906,0.01893609,0.9757242,0.004270384,0.000390419,0.00003389387],"study_design_scores_gemma":[0.0009492845,0.0002859737,0.0002013164,0.0003501194,0.00008282165,0.0002397184,0.0005386677,0.01120858,0.9762414,0.006733545,0.002825252,0.0003433508],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8714406,0.0001500443,0.1270645,0.0001013858,0.0005051126,0.0001238542,0.00001014041,0.00004620803,0.0005581385],"genre_scores_gemma":[0.941009,0.000002448887,0.05815132,0.000005213917,0.0005865893,0.000007307886,0.000001809233,0.00002386631,0.0002123721],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06956849,"threshold_uncertainty_score":0.3547257,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01569415132280515,"score_gpt":0.222051750808454,"score_spread":0.2063575994856489,"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."}}