{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003604855,0.0001717127,0.0003188733,0.000135071,0.00005807951,0.00002708953,0.0006181284,0.00008713513,0.0004310955],"category_scores_gemma":[0.0003458617,0.0001568708,0.00009590712,0.0001186971,0.00007220342,0.00007485793,0.00006935486,0.00009557466,0.0002537965],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006331976,"about_ca_system_score_gemma":0.0001109675,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001926754,"about_ca_topic_score_gemma":0.00003944835,"domain_scores_codex":[0.9986216,0.00002029384,0.0004720408,0.0002550002,0.0001591607,0.0004718881],"domain_scores_gemma":[0.9988005,0.0002227726,0.00008135942,0.0004500831,0.0001084752,0.0003368046],"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":[0.000002662137,0.00002652599,0.000001584357,0.0002509893,0.00001586938,0.000004402918,0.001518499,0.0002669278,0.0001258273,0.9966697,0.0003780579,0.0007389803],"study_design_scores_gemma":[0.0002305779,0.00008843379,0.000007681865,0.0001428284,0.00001225768,0.00001341727,0.00005815665,0.1205518,0.002711955,0.8734453,0.002457367,0.000280277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.006617971,0.0000394511,0.980557,0.0003176781,0.00005346289,0.000396317,0.00001201804,0.0001115598,0.01189455],"genre_scores_gemma":[0.1336582,0.00000186832,0.8652722,0.0001600857,0.00003131549,0.0001140969,0.000001628069,0.00002643835,0.0007341417],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1270403,"threshold_uncertainty_score":0.6397006,"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."}}