{"id":"W2369314892","doi":"","title":"An Extension of Mulhulland’s Inequality","year":2010,"lang":"en","type":"article","venue":"Journal of Hunan Institute of Science and Technology","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Extension (predicate logic); Mathematics; Log sum inequality; Inequality; Rearrangement inequality; Kantorovich inequality; Bernoulli's inequality; Hadamard transform; Constant (computer programming); Cauchy–Schwarz inequality; Applied mathematics; Mathematical analysis; Calculus (dental); Linear inequality; Pure mathematics; Computer science; Medicine","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":[0.001285456,0.00005485343,0.0002333106,0.0003897325,0.00009197164,0.000009128437,0.0004114586,0.00007684177,0.000008225808],"category_scores_gemma":[0.0008587743,0.00003868625,0.0000235125,0.0005405761,0.001916799,0.0002324172,0.00006251311,0.0001801162,2.966947e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005640828,"about_ca_system_score_gemma":0.0001742608,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000548666,"about_ca_topic_score_gemma":0.00002055597,"domain_scores_codex":[0.9990836,0.000004147739,0.0004484711,0.00009273687,0.0002734376,0.00009756496],"domain_scores_gemma":[0.9982886,0.00003371745,0.0005681509,0.0003154423,0.0007394759,0.00005463532],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004034194,0.0001784331,0.000706349,0.00004084832,0.000003924551,0.000001927017,0.0001404543,4.1103e-7,0.5935774,0.3985247,0.0001347976,0.006686719],"study_design_scores_gemma":[0.0005347015,0.0006078372,0.001595829,0.0001284193,0.00004175372,0.0003852216,0.0007286309,0.000573321,0.2990727,0.6913885,0.004810781,0.0001322899],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.997311,0.00001595943,0.001444219,0.0005704215,0.0001300938,0.0000611256,0.000001777521,0.000008262748,0.0004571532],"genre_scores_gemma":[0.9339562,0.00002279361,0.06598578,0.000008132263,0.00001710308,8.442473e-7,6.478476e-8,0.000002432762,0.000006662083],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2945046,"threshold_uncertainty_score":0.7062525,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03953740177740196,"score_gpt":0.3558842760917363,"score_spread":0.3163468743143343,"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."}}