{"id":"W2154915620","doi":"10.1016/j.laa.2005.01.029","title":"Isospectral vibrating systems. Part 1. The spectral method","year":2005,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; University of Nottingham","keywords":"Isospectral; Mathematics; Constructive; Hermitian matrix; Class (philosophy); Pure mathematics; Equivalence (formal languages); Inverse; Matrix (chemical analysis); Algebra over a field","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003918149,0.000110084,0.0001123614,0.00003001853,0.0004075798,0.0001813807,0.0004944719,0.00004060133,0.00002932965],"category_scores_gemma":[0.00001304114,0.00007673046,0.00004254944,0.0002807638,0.00002772684,0.0002754755,0.0001041897,0.0001521616,0.0001398624],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001007166,"about_ca_system_score_gemma":0.00002419692,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000391406,"about_ca_topic_score_gemma":0.000001778699,"domain_scores_codex":[0.9990854,0.00007842106,0.0002112603,0.0002863259,0.0001218872,0.0002167393],"domain_scores_gemma":[0.999274,0.0001391312,0.00007204095,0.0003971503,0.00003483077,0.00008286363],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[5.98398e-7,0.00002178566,0.000005356109,0.000007154416,0.000009322104,2.811265e-7,0.0002064874,0.0002174966,0.0003499636,0.9802179,0.0002661725,0.01869748],"study_design_scores_gemma":[0.0001787999,0.00003267151,0.0001083233,0.00001004879,0.00001766982,0.00006908015,0.00009078401,0.7084717,0.004815326,0.01672636,0.2692531,0.0002261127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001782107,0.001283456,0.986874,0.004995665,0.00008983683,0.0004335283,0.00000801741,0.0001875411,0.004345872],"genre_scores_gemma":[0.6123536,0.0002682891,0.3754233,0.001796873,0.004508962,0.0006183155,0.00001419606,0.00003503575,0.004981411],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9634916,"threshold_uncertainty_score":0.3134816,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01267394041597416,"score_gpt":0.2656336965914847,"score_spread":0.2529597561755105,"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."}}