{"id":"W1967099307","doi":"10.1590/s0001-37652007000100001","title":"On focal stability in dimension two","year":2007,"lang":"en","type":"article","venue":"Anais da Academia Brasileira de Ciências","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Conjecture; Dimension (graph theory); Mathematics; Riemann hypothesis; Stability (learning theory); Conjugate points; Manifold (fluid mechanics); Decomposition; Pure mathematics; Mathematical analysis; Conjugate; Chemistry; Computer science","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":[0.0006026984,0.0005318649,0.0004745733,0.001552152,0.001382292,0.001481132,0.0003625121,0.0007901019,0.005843137],"category_scores_gemma":[0.002689337,0.0001687702,0.000417665,0.0006691011,0.002620313,0.002708558,0.002268021,0.001046226,0.0005293337],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001213994,"about_ca_system_score_gemma":0.0003321667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001288388,"about_ca_topic_score_gemma":0.0006186567,"domain_scores_codex":[0.9996887,0.00007354796,0.00001493014,0.00008943648,0.0000616154,0.00007176177],"domain_scores_gemma":[0.9990745,0.0003665682,0.0001374131,0.0000978906,0.0001969829,0.0001265974],"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":[0.00003253426,0.000006595422,0.0007204949,0.00004426596,0.00001208318,0.0001130043,0.0004175818,0.000938634,0.0016678,0.9887944,0.001174259,0.006078304],"study_design_scores_gemma":[0.00001585874,0.00004610861,0.001256324,0.00003544899,0.00001602086,0.0002110449,0.0002694684,0.007285566,0.001664653,0.9818988,0.007281478,0.0000191424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6223907,0.007560467,0.1577023,0.006878981,0.000377674,0.00007037855,0.0003018402,0.0001900382,0.2045277],"genre_scores_gemma":[0.9870355,0.0008980534,0.004387533,0.0002483347,0.0001533515,0.0000212546,0.00008571734,0.00001801224,0.007152334],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005843137,"threshold_uncertainty_score":0.01954722,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06230032071943799,"score_gpt":0.3579518732036332,"score_spread":0.2956515524841952,"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."}}