{"id":"W2005987134","doi":"10.1119/1.1701845","title":"The inertia tensor of a magic cube","year":2004,"lang":"en","type":"article","venue":"American Journal of Physics","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Winnipeg Foundation","keywords":"Moment of inertia; Physics; Pillar; Inertia; MAGIC (telescope); Cube (algebra); Symmetry (geometry); Tensor (intrinsic definition); Rotational symmetry; Rotary inertia; Classical mechanics; Geometry; Quantum mechanics; Mechanics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00006639774,0.00006448594,0.0001792704,0.000007504746,0.00006078016,0.00001002073,0.0001672263,0.000003624476,0.00001113395],"category_scores_gemma":[0.000008005069,0.00003840918,0.0001181269,0.0001767256,0.0002947886,0.00005798877,0.00002021062,0.0001056328,0.000007108097],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009247403,"about_ca_system_score_gemma":0.00004256582,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001182658,"about_ca_topic_score_gemma":9.895397e-8,"domain_scores_codex":[0.9994844,0.0000115204,0.0002457834,0.00004362462,0.0001088727,0.0001057525],"domain_scores_gemma":[0.9991243,0.0001164726,0.0004429431,0.0001425509,0.0001272301,0.00004644681],"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":[0.00001250489,0.0001100141,0.0001608055,0.000002100119,0.00005090515,2.298987e-7,0.0001744645,0.0009821674,0.001582254,0.9039612,0.0000373907,0.09292589],"study_design_scores_gemma":[0.0002591068,0.0001641532,0.0001346654,0.00002450505,0.00003360349,0.000002422347,0.001748021,0.00002556084,0.008761808,0.9862564,0.0025248,0.00006495447],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3314876,0.0000483706,0.6632748,0.001069506,0.00005073674,0.00008455172,0.00001216128,0.000005057992,0.003967263],"genre_scores_gemma":[0.9917021,0.00000751791,0.007970717,0.00003094489,0.0002345519,0.00000194628,4.313235e-7,0.000008157827,0.00004356414],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6602145,"threshold_uncertainty_score":0.1566281,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005051858235222504,"score_gpt":0.2563094625777065,"score_spread":0.251257604342484,"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."}}