{"id":"W2004624753","doi":"10.1007/s00283-013-9425-1","title":"One Pythagoras for All Dimensions","year":2013,"lang":"en","type":"article","venue":"The Mathematical Intelligencer","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Pythagorean theorem; Dimension (graph theory); Mathematics; Combinatorics; 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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00121764,0.0002815137,0.000480354,0.00006399214,0.0003040898,0.00008219118,0.0006686527,0.0001408512,0.006298729],"category_scores_gemma":[0.001882052,0.0001813017,0.0002738067,0.0001418797,0.0003991683,0.000148756,0.0001297965,0.0002613962,0.004130474],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005908378,"about_ca_system_score_gemma":0.00002926315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005744264,"about_ca_topic_score_gemma":0.000003194497,"domain_scores_codex":[0.9979826,0.0001213435,0.0007080336,0.0002854732,0.0003818671,0.0005207261],"domain_scores_gemma":[0.9938526,0.004665603,0.000191346,0.0009084701,0.0002005952,0.0001814269],"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":[0.00001451279,0.000412592,4.902478e-7,0.0002586594,0.0001161365,5.846942e-7,0.003258372,0.000002473595,0.0005913367,0.971168,0.02179277,0.002384108],"study_design_scores_gemma":[0.0001114865,0.00009588817,0.000001260858,0.0001126203,0.0001578987,0.00001404177,0.0006777953,0.002925497,0.00412741,0.9840366,0.007483796,0.0002556564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1106887,0.000260021,0.819051,0.00494979,0.0004668832,0.004803069,0.00002194485,0.0006029722,0.05915568],"genre_scores_gemma":[0.7033724,0.00004182085,0.2617475,0.002181748,0.0005146508,0.00220199,0.000009405204,0.0002405309,0.02968993],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5926837,"threshold_uncertainty_score":0.9966449,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1560708212554082,"score_gpt":0.3578395208994054,"score_spread":0.2017686996439971,"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."}}