{"id":"W2164969278","doi":"10.1016/j.laa.2004.04.003","title":"Some remarks on matrix stability with application to Turing instability","year":2004,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Instability; Eigenvalues and eigenvectors; Counterexample; Turing; Matrix (chemical analysis); Conjecture; Stability (learning theory); Connection (principal bundle); Diagonalizable matrix; Pure mathematics; Combinatorics; Symmetric matrix; Computer science; Physics; Geometry; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001474307,0.001079379,0.001011485,0.001655868,0.00177965,0.002235997,0.001772096,0.002237409,0.01466549],"category_scores_gemma":[0.005407572,0.0003103346,0.001127179,0.0011864,0.003192259,0.004328032,0.001666331,0.002965103,0.002245334],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006532687,"about_ca_system_score_gemma":0.0002850392,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001198877,"about_ca_topic_score_gemma":0.0008171569,"domain_scores_codex":[0.9993653,0.0001869889,0.0000457946,0.00008985544,0.0002646884,0.00004747701],"domain_scores_gemma":[0.9984963,0.0009006645,0.0001046207,0.0001286212,0.000295052,0.00007474639],"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":[0.00005931572,0.00003943536,0.0001409748,0.0003412903,0.00002890352,0.0005777116,0.0002763761,0.005012824,0.002642103,0.9438227,0.02624275,0.02081577],"study_design_scores_gemma":[0.00001077908,0.00003020758,0.0001475115,0.0000405335,0.000009098358,0.0001430647,0.00008670771,0.00662417,0.000809674,0.9637358,0.02833773,0.00002476612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02103382,0.01854772,0.6473726,0.0564609,0.01935497,0.0001875553,0.0006128992,0.000847267,0.2355823],"genre_scores_gemma":[0.5781779,0.03040668,0.1509735,0.0299303,0.05037101,0.0009354754,0.0005301611,0.000862359,0.1578126],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01466549,"threshold_uncertainty_score":0.04906094,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00850118881144208,"score_gpt":0.2452253177011433,"score_spread":0.2367241288897013,"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."}}