{"id":"W2005133047","doi":"10.4153/cmb-2011-031-x","title":"Inequalities for Eigenvalues of a General Clamped Plate Problem","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Bounded function; Domain (mathematical analysis); Dirichlet eigenvalue; Inequality; Pure mathematics; Dirichlet distribution; Mathematical analysis; Combinatorics; Dirichlet's principle; Boundary value problem","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002060432,0.00116092,0.0006477282,0.001702456,0.000939814,0.002735676,0.001394972,0.001321913,0.008899653],"category_scores_gemma":[0.006890023,0.0003558265,0.0007480283,0.0005847857,0.002877895,0.002580148,0.002181793,0.002349267,0.0005798101],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001693294,"about_ca_system_score_gemma":0.0007819217,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002151665,"about_ca_topic_score_gemma":0.001306767,"domain_scores_codex":[0.9991601,0.0002285153,0.00004384699,0.0001440943,0.0002709342,0.0001525766],"domain_scores_gemma":[0.9957168,0.002578849,0.0003504645,0.0001406334,0.0008582472,0.0003550437],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002561184,0.0001075907,0.001366567,0.0003260992,0.00005842835,0.0008518508,0.0004917718,0.06832324,0.01732551,0.8968354,0.003426841,0.01063051],"study_design_scores_gemma":[0.00005245006,0.00009075202,0.00120888,0.0001793904,0.0000304701,0.0003412738,0.0005891816,0.6550016,0.005599125,0.3328942,0.003936089,0.00007656457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2544041,0.002024221,0.5795847,0.004074544,0.0005394787,0.0001425303,0.0003699733,0.0002669152,0.1585935],"genre_scores_gemma":[0.9427938,0.0005989822,0.03423581,0.0002995323,0.0001821207,0.000129358,0.0001585013,0.0001003055,0.02150161],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008899653,"threshold_uncertainty_score":0.02977234,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04548902172953734,"score_gpt":0.2414510901277806,"score_spread":0.1959620683982433,"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."}}