{"id":"W4221028320","doi":"10.28924/2291-8639-20-2022-20","title":"Payne-Sperb-Stakgold Type Inequality for a Wedge-Like Membrane","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Northern Border University","keywords":"Isoperimetric inequality; Wedge (geometry); Mathematics; Inequality; Bounded function; Domain (mathematical analysis); Isoperimetric dimension; Type (biology); Pure mathematics; Mathematical analysis; Mathematical economics; Geometry; Geology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003703641,0.00005995499,0.0001582316,0.0002340709,0.00009228618,0.00005791332,0.0006206952,0.00001211475,0.00002164782],"category_scores_gemma":[0.00004650783,0.00005451436,0.0001327241,0.0004777979,0.00001384847,0.0001551524,0.0001551482,0.0001045706,9.1692e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005300775,"about_ca_system_score_gemma":0.00002898358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002299212,"about_ca_topic_score_gemma":0.000001450176,"domain_scores_codex":[0.9991224,0.00001607023,0.0003471447,0.0001263064,0.0003124187,0.00007563113],"domain_scores_gemma":[0.9990374,0.0001510266,0.0002139742,0.0001632399,0.0003791879,0.00005515997],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003417143,0.0003280179,0.0003751371,0.00002075297,0.001539855,0.000004401676,0.00053373,0.5319343,0.004606432,0.4404303,0.0002238227,0.01996899],"study_design_scores_gemma":[0.0004622835,0.00007873749,0.0003139526,0.000007335831,0.0002648871,0.00005505542,0.0001307801,0.9130039,0.0004543137,0.04772958,0.03732391,0.0001752177],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004604461,0.00009786819,0.9939109,0.001072375,0.0001208603,0.00007579909,0.00001293252,0.00001499834,0.00008978981],"genre_scores_gemma":[0.8619539,0.00003311689,0.1376048,0.0001575976,0.0001027465,0.0000479859,0.000006980716,0.000004778355,0.00008820694],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8573494,"threshold_uncertainty_score":0.2223031,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02447693321416186,"score_gpt":0.3076034895595424,"score_spread":0.2831265563453805,"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."}}