{"id":"W2609627313","doi":"10.1090/crmp/040/05","title":"Einstein equations, superpotentials and convex polytopes","year":2006,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Relativity and Gravitational Theory","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Polytope; Regular polygon; Einstein; Pure mathematics; Mathematical physics; Mathematics; Mathematical economics; Theoretical physics; Physics; 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":[0.0005062466,0.001015413,0.0008776928,0.001523952,0.001134737,0.002942176,0.0008438074,0.001256134,0.00721809],"category_scores_gemma":[0.001329458,0.0005543697,0.0005169595,0.002303856,0.002494647,0.004373615,0.0009734311,0.003472416,0.001319313],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001123954,"about_ca_system_score_gemma":0.0005758497,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002296122,"about_ca_topic_score_gemma":0.002556135,"domain_scores_codex":[0.9997856,0.00006304335,0.00001190832,0.0000368443,0.00008143133,0.00002122629],"domain_scores_gemma":[0.9996819,0.0001538353,0.00004557225,0.00003510692,0.00005027799,0.00003327279],"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":[0.000005013022,0.000009111122,0.00003177284,0.00002223558,0.0000031352,0.00001277658,0.00004294243,0.001715341,0.0001264591,0.9914023,0.003275808,0.00335313],"study_design_scores_gemma":[0.000003354206,0.000002602044,0.0000731942,0.000006087118,0.000001682905,0.00001947269,0.0000226919,0.002706537,0.00003207036,0.9922311,0.004897544,0.000003626305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1294867,0.05159729,0.2536354,0.0129254,0.001738444,0.00008030432,0.001491977,0.0003192237,0.5487253],"genre_scores_gemma":[0.7067431,0.0332847,0.0621003,0.001513309,0.003715368,0.0002432233,0.002534296,0.000324992,0.1895409],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00721809,"threshold_uncertainty_score":0.02414691,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01132308503849412,"score_gpt":0.2236147566705961,"score_spread":0.212291671632102,"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."}}