{"id":"W2085537603","doi":"10.1007/s10910-007-9236-8","title":"Indistinguishability in DR n-fold point-sets & their $${\\mathcal{S}}_n$$ -invariant dual projective mappings: limitations imposed on Racah–Wigner algebras for Liouville spin dynamics of [A] n X multi-invariant NMR systems","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Chemistry","topic":"Advanced NMR Techniques and Applications","field":"Chemistry","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Invariant (physics); Combinatorics; Linear subspace; Mathematical physics; Physics; Discrete mathematics; Pure mathematics","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":[0.002804809,0.0005059591,0.0008587484,0.001629456,0.001852679,0.004108858,0.001856644,0.001593662,0.006838539],"category_scores_gemma":[0.006941892,0.0005101842,0.0007608721,0.0007580915,0.004744396,0.006651949,0.003687481,0.002441149,0.0007227623],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001199269,"about_ca_system_score_gemma":0.0008498366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004708332,"about_ca_topic_score_gemma":0.000286806,"domain_scores_codex":[0.9978564,0.000543225,0.0001530242,0.0003877379,0.0006745433,0.000385078],"domain_scores_gemma":[0.9962406,0.001792373,0.0004101612,0.0006838443,0.0003496971,0.0005232604],"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":[0.00002815985,0.00001553719,0.0000958315,0.00000709419,0.000002205381,0.00002659146,0.0000754469,0.001022108,0.0006291246,0.9962983,0.0001600327,0.001639678],"study_design_scores_gemma":[0.00001380294,0.00002145065,0.0001611288,0.000007126052,0.000002981707,0.00007542768,0.00006839598,0.02593623,0.001681996,0.9714507,0.000564357,0.00001646065],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6718737,0.0002937558,0.2512794,0.001409231,0.0001719929,0.00009955856,0.0002524263,0.0003067079,0.07431325],"genre_scores_gemma":[0.9743507,0.0001095443,0.01751838,0.000203019,0.00008101009,0.00008088518,0.0001448527,0.00006897408,0.007442746],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006838539,"threshold_uncertainty_score":0.02287716,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04779098576715203,"score_gpt":0.3226765585071656,"score_spread":0.2748855727400136,"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."}}