{"id":"W2412319257","doi":"10.1017/s0025557200003740","title":"95.66 The reciprocal volume of a Heron tetrahedron","year":2011,"lang":"en","type":"article","venue":"The Mathematical Gazette","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Bishop's University","funders":"","keywords":"Tetrahedron; Heron; Reciprocal; Volume (thermodynamics); Mathematics; Geology; Physics; Geometry; Paleontology; Thermodynamics; Philosophy","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":[],"category_scores_codex":[0.001409562,0.0002520122,0.0004372203,0.00003193118,0.0002033981,0.0000318183,0.0009813388,0.0001080254,0.001716505],"category_scores_gemma":[0.0006049604,0.0001242,0.0002225544,0.0002817456,0.0004531162,0.00005450617,0.0002046493,0.0003302139,0.0005356103],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002230214,"about_ca_system_score_gemma":0.00002937029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001154813,"about_ca_topic_score_gemma":0.000005337586,"domain_scores_codex":[0.9979958,0.0001248977,0.0007806367,0.0002348925,0.0004886689,0.0003750818],"domain_scores_gemma":[0.9970031,0.001058938,0.0003320544,0.00141569,0.0000993821,0.00009088432],"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":[0.00001986778,0.000612272,0.00002030888,0.000371594,0.00009430882,0.000001885117,0.006594723,6.469772e-7,0.000639857,0.9460081,0.04436939,0.001267015],"study_design_scores_gemma":[0.0002050104,0.00007662269,0.000104387,0.0001268167,0.0001717274,0.00003901938,0.0006390631,0.003052221,0.002468322,0.9880903,0.004830487,0.0001960645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4274004,0.0003463758,0.1918952,0.009192894,0.0002384475,0.004430262,0.00005012954,0.0005514361,0.3658948],"genre_scores_gemma":[0.9295657,0.00002314463,0.06260394,0.0003176159,0.0001506943,0.0003578312,0.000001997633,0.00009402193,0.006885038],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5021653,"threshold_uncertainty_score":0.9991961,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1301306772276013,"score_gpt":0.3053995023942939,"score_spread":0.1752688251666926,"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."}}