{"id":"W7106672003","doi":"10.1139/cjp-2025-0267","title":"Introduction to the symplectic group Sp(2)","year":2025,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Symplectic geometry; Symplectic matrix; Symplectic group; Moment map; Symplectic representation; Symplectomorphism; Symplectic manifold; Symplectic vector space","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006681886,0.0009360817,0.0004662399,0.001240481,0.001231603,0.001076428,0.0005687418,0.001111755,0.01124251],"category_scores_gemma":[0.001652671,0.0004288825,0.0006257941,0.001363149,0.003295472,0.002748529,0.001893553,0.003975014,0.002259542],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006857318,"about_ca_system_score_gemma":0.0005118313,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001126842,"about_ca_topic_score_gemma":0.0008582703,"domain_scores_codex":[0.9995402,0.0001299694,0.00002864686,0.0001087467,0.000153793,0.00003862113],"domain_scores_gemma":[0.9993691,0.0002875791,0.00005707062,0.00007798598,0.0001553441,0.00005292283],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000009934794,0.00001638061,0.000198218,0.0001721537,0.000007317798,0.0001722324,0.0004109472,0.0009498639,0.001040647,0.9620181,0.01234698,0.02265717],"study_design_scores_gemma":[0.000007613936,0.00005742981,0.0004200735,0.0001036219,0.000008451812,0.0007088375,0.00008782006,0.00314136,0.0004353555,0.7111771,0.283832,0.0000203667],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0259332,0.05110073,0.6121715,0.02146071,0.0151432,0.0001808158,0.001366995,0.0006319176,0.272011],"genre_scores_gemma":[0.5020465,0.05460205,0.3309713,0.009330027,0.02275337,0.0004494073,0.001453333,0.0006091827,0.07778475],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01124251,"threshold_uncertainty_score":0.03760993,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006526473762330338,"score_gpt":0.2106815816372726,"score_spread":0.2041551078749422,"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."}}