{"id":"W7015759545","doi":"","title":"Symplectic methods applied to the Lotka-Volterra system","year":2003,"lang":"en","type":"dissertation","venue":"eScholarship@McGill (McGill)","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Symplectic geometry; Euler's formula; Euler method; Numerical analysis; Simple (philosophy); Poisson distribution; Semi-implicit Euler method; Upper and lower bounds","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.004256857,0.001366984,0.001812011,0.0006282894,0.002107761,0.0002340976,0.001688267,0.001055477,0.0003919721],"category_scores_gemma":[0.006765966,0.001119329,0.0007890274,0.00188262,0.0000668108,0.0002536755,0.0002303971,0.002384739,0.0008670189],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001578257,"about_ca_system_score_gemma":0.0001016265,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001244608,"about_ca_topic_score_gemma":0.0005270931,"domain_scores_codex":[0.9905455,0.003136323,0.001929968,0.001682651,0.001408995,0.001296582],"domain_scores_gemma":[0.9919438,0.003305403,0.001184043,0.00234298,0.0005664028,0.0006573903],"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":[0.0001008606,0.0001869765,2.983709e-7,0.0009170608,0.0004119016,0.000008760014,0.00003132214,0.00001525809,0.02319092,0.7976178,0.00002319409,0.1774957],"study_design_scores_gemma":[0.001386929,0.0003569781,0.00007602057,0.001280692,0.003052412,0.00009235751,0.00264695,0.0002340745,0.1359378,0.7730526,0.07838634,0.003496864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.2121529,0.0005717345,0.04423276,0.000210543,0.02411196,0.01763727,0.002658501,0.004309615,0.6941147],"genre_scores_gemma":[0.3268257,0.00004315395,0.6255071,0.0008736419,0.000329602,0.004361538,0.0007249144,0.001553734,0.03978064],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.6543341,"threshold_uncertainty_score":0.9999168,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06153835571582958,"score_gpt":0.3611000426925234,"score_spread":0.2995616869766938,"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."}}