{"id":"W7117471699","doi":"10.3390/axioms15010026","title":"The Complete Strong Version of Blundon’s Inequality","year":2025,"lang":"en","type":"article","venue":"Axioms","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Science North","funders":"","keywords":"Inequality; Triangle inequality; Calculus (dental); Key (lock); Log sum inequality; Interpretation (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":[],"consensus_categories":[],"category_scores_codex":[0.0003149957,0.00005191198,0.0001092575,0.00002011744,0.0001348914,0.00001394449,0.0001888926,0.00002367994,0.00003535902],"category_scores_gemma":[0.0001326661,0.00003454825,0.00004805695,0.0001263959,0.00005409176,0.000014681,0.00007422794,0.00005162162,0.00001779639],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001446068,"about_ca_system_score_gemma":0.00001873046,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002598864,"about_ca_topic_score_gemma":0.00002188619,"domain_scores_codex":[0.9994799,0.00002559683,0.0002256411,0.00007273458,0.0001068956,0.00008926966],"domain_scores_gemma":[0.9987928,0.0006560289,0.00009627068,0.0003862421,0.00005340619,0.00001530447],"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":[0.000002969107,0.00004539765,0.00003224416,0.00007044389,0.00001894023,5.209559e-8,0.0001209503,7.381249e-7,0.0006450749,0.98875,0.009576636,0.0007365071],"study_design_scores_gemma":[0.0005856272,0.00003193758,0.001151284,0.0001333925,0.00007983459,7.227585e-7,0.001090882,0.007241067,0.004328059,0.9159354,0.06928009,0.0001416911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5824092,0.0001921966,0.2718033,0.005025652,0.0002490143,0.0009413698,0.00008438175,0.0001217144,0.1391732],"genre_scores_gemma":[0.9968449,0.000009247183,0.001555836,0.00002781203,0.00001110452,0.00001950591,0.00000304289,0.000004408344,0.00152413],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4144357,"threshold_uncertainty_score":0.1408837,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07294020834191307,"score_gpt":0.3643047747537052,"score_spread":0.2913645664117921,"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."}}