{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002616387,0.000447982,0.0003195809,0.0008989482,0.0006339021,0.001231683,0.0004286148,0.0005657322,0.008275534],"category_scores_gemma":[0.0008353267,0.0002070705,0.0002775527,0.0005233121,0.001564923,0.001329445,0.0009373758,0.0007872214,0.001364683],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000467521,"about_ca_system_score_gemma":0.0005439037,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009159296,"about_ca_topic_score_gemma":0.0004604328,"domain_scores_codex":[0.9997016,0.00003483879,0.00001472412,0.00005041014,0.000123408,0.00007495691],"domain_scores_gemma":[0.9997074,0.00003949485,0.00005592137,0.00004431024,0.00009295104,0.00005991974],"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":[0.00004130483,0.000007777573,0.0001507417,0.0000511146,0.000005974048,0.0001479036,0.0001359477,0.004005563,0.008858765,0.9701515,0.004094589,0.01234894],"study_design_scores_gemma":[0.00002268467,0.00009990385,0.001255658,0.00004539342,0.00001595986,0.0006011566,0.0001775891,0.05457219,0.006294272,0.9002336,0.03659127,0.00009030761],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3105277,0.002676861,0.3432955,0.002119586,0.002092394,0.0001301554,0.001134016,0.0009509249,0.3370729],"genre_scores_gemma":[0.9308806,0.001236495,0.03948461,0.0004671748,0.0007064941,0.00007631951,0.000569137,0.0001958359,0.02638333],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008275534,"threshold_uncertainty_score":0.02768445,"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."}}