{"id":"W2049377702","doi":"10.1002/qua.1113","title":"On Uniform (1≤<i>I</i><sub><i>i</i></sub>≤3) <i>n</i>‐fold {∣<i>I</i><sup>outer</sup><i>M</i>(<i>i</i><sub>1</sub>⋅⋅⋅<i>i</i><sub><i>n</i></sub>)〉} dual tensorial sets, spin irreps from <i>SU</i>(3≤<i>m</i>)×𝒮<sub><i>n</i></sub>⊃⋅⋅⋅⊃𝒮<sub><i>n</i></sub> weight sets: a direct role for 𝒩(λ⊢<i>n</i>)‐partitional catalogs of 𝒮<sub><i>n</i></sub> combinatorics in spin physics","year":2002,"lang":"en","type":"article","venue":"International Journal of Quantum Chemistry","topic":"Molecular spectroscopy and chirality","field":"Chemistry","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Physics; Spin (aerodynamics); Multipartite; Scalar (mathematics); Combinatorics; Quantum mechanics; Mathematical physics; Quantum; Crystallography; Chemistry; Mathematics; Thermodynamics; Geometry","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":[0.0006068479,0.0004819684,0.0003364682,0.001128788,0.001429534,0.001591242,0.000703493,0.0003991121,0.006009796],"category_scores_gemma":[0.000934082,0.0003263032,0.0007799229,0.0006644074,0.002215224,0.002016891,0.001655965,0.001026104,0.001437123],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009581598,"about_ca_system_score_gemma":0.0004368917,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001033997,"about_ca_topic_score_gemma":0.002203201,"domain_scores_codex":[0.9996,0.00007314504,0.00002062421,0.00007595262,0.000135307,0.00009510163],"domain_scores_gemma":[0.9995506,0.0001060222,0.00006345088,0.0001437577,0.00006797477,0.00006813053],"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":[0.00003000723,0.00002570726,0.0003249059,0.00003064848,0.000006462061,0.00006398813,0.0002122194,0.002731892,0.004947014,0.9824423,0.0006303645,0.008554512],"study_design_scores_gemma":[0.000009630288,0.00004603218,0.0009177297,0.00003721853,0.00001036591,0.0001347499,0.0001802489,0.01810785,0.01299054,0.9612651,0.006273567,0.00002694475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6645517,0.0002049584,0.2065412,0.0003193076,0.0002019127,0.00007461358,0.0003322088,0.0002878008,0.1274862],"genre_scores_gemma":[0.9244485,0.0003898561,0.04403122,0.0002048218,0.00009184149,0.0001091754,0.0005712357,0.0003954067,0.02975793],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006009796,"threshold_uncertainty_score":0.02010477,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01203292035668272,"score_gpt":0.2421676794566574,"score_spread":0.2301347590999747,"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."}}