{"id":"W2963858914","doi":"10.5802/aif.2474","title":"The higher transvectants are redundant","year":2009,"lang":"fr","type":"article","venue":"Annales de l’institut Fourier","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; University of Michigan","keywords":"Mathematics; Quadratic equation; Invariant (physics); Symbol (formal); Angular momentum; Binary number; Pure mathematics; Sequence (biology); Exact sequence; Sense (electronics); Cauchy distribution; Discrete mathematics; Algebra over a field; Combinatorics; Mathematical analysis; Arithmetic; Quantum mechanics; Mathematical physics; Physics; Geometry; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008252374,0.002265608,0.001194025,0.001412309,0.002063995,0.004740448,0.001623403,0.001478601,0.05794211],"category_scores_gemma":[0.005428228,0.0006886012,0.001669472,0.001536606,0.003151384,0.005945568,0.002794734,0.003518685,0.03263263],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001002003,"about_ca_system_score_gemma":0.001283084,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002659444,"about_ca_topic_score_gemma":0.003487757,"domain_scores_codex":[0.9975778,0.0002986792,0.0001858243,0.0007008277,0.0005434575,0.0006933343],"domain_scores_gemma":[0.9972147,0.0005035402,0.0001802443,0.001218137,0.0006854523,0.0001979961],"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":[0.0007795002,0.0002694459,0.002669751,0.0005780555,0.0001566482,0.001865789,0.0009365379,0.006257457,0.01725611,0.636741,0.09439744,0.2380922],"study_design_scores_gemma":[0.00008284356,0.0003039175,0.002447481,0.000196105,0.0001397195,0.001693021,0.00082377,0.01764086,0.03294996,0.749683,0.1938701,0.0001691132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1608638,0.002416746,0.3801206,0.004994487,0.00859211,0.000272399,0.00720894,0.009898535,0.4256323],"genre_scores_gemma":[0.6582779,0.001931675,0.09430152,0.003091055,0.001587033,0.0003416737,0.01236385,0.005352965,0.2227524],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.05794211,"threshold_uncertainty_score":0.1938357,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03136028432165687,"score_gpt":0.2999854571832818,"score_spread":0.2686251728616249,"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."}}