{"id":"W4405565797","doi":"10.5267/j.esm.2024.10.001","title":"Retraction Note: Using the method of differential equations by quadratic to solve the free vibrations of columns under the effect of axial load and column weight","year":2024,"lang":"en","type":"article","venue":"Engineering Solid Mechanics","topic":"Composite Structure Analysis and Optimization","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Column (typography); Vibration; Quadratic equation; Differential (mechanical device); Differential equation; Materials science; Structural engineering; Mathematics; Mechanics; Mathematical optimization; Mathematical analysis; Physics; Engineering; Geometry; Thermodynamics; Acoustics; Connection (principal bundle)","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[{"model":"gemma","categories":[],"domain":null,"study_design":"not_applicable","genre":"empirical","about_ca_system":false,"about_ca_topic":false,"confidence":"low","status":"direct model label, unvalidated"},{"model":"gpt","categories":["metaresearch","research_integrity"],"domain":"methods","study_design":"not_applicable","genre":"editorial","about_ca_system":false,"about_ca_topic":false,"confidence":"high","status":"direct model label, unvalidated"}],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003295431,0.0001296036,0.0002203481,0.00007473066,0.00008751284,0.00005051308,0.0001611977,0.00008453447,0.00001533458],"category_scores_gemma":[0.00009003114,0.00008008932,0.00009875741,0.000459443,0.00001372984,0.00007064545,0.00004645786,0.0002060432,2.090403e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006097867,"about_ca_system_score_gemma":0.00002249178,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006609471,"about_ca_topic_score_gemma":0.00007857276,"domain_scores_codex":[0.9991917,0.00004764085,0.0003091735,0.0001089403,0.0002308629,0.0001116692],"domain_scores_gemma":[0.9989606,0.0006085506,0.00005507938,0.0002946357,0.00005664652,0.00002450318],"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":[0.00000403584,0.000002946663,4.634298e-7,0.00008006595,0.0001280363,7.170225e-8,0.0004891155,0.7565339,0.2381512,0.00418825,0.0001112791,0.000310653],"study_design_scores_gemma":[0.000092753,0.00005722862,0.00001288108,0.00005380264,0.0003382831,0.000002632219,0.00004743559,0.9119261,0.08714656,0.0001518881,0.00009965753,0.00007078757],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02378918,0.0004734108,0.9746445,0.00009868992,0.0006122607,0.0002918463,0.00003865194,0.00004107805,0.00001040982],"genre_scores_gemma":[0.9924416,0.00003159947,0.0073661,0.000004760762,0.00009408694,0.00001556322,0.000009847371,0.00002684644,0.000009602068],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9686524,"threshold_uncertainty_score":0.3265948,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004487328071271965,"score_gpt":0.2410367693537743,"score_spread":0.2365494412825024,"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."}}